School Districts vs. A Good Math Education

Charlie Mas:

If you are a parent in cities such as Bellevue, Issaquah or Seattle, your kids are being short-changed--being provided an inferior math education that could cripple their future aspirations--and you need to act. This blog will tell the story of an unresponsive and wrong-headed educational bureaucracies that are dead set on continuing in the current direction. And it will tell the story of how this disaster can be turned around. Parent or not, your future depends on dealing with the problem.

Let me provide you with a view from the battlefield of the math "wars", including some information that is generally not known publicly, or has been actively suppressed by the educational establishment. Of lawsuits and locking parents out of decision making.

I know that some of you would rather that I only talk about weather, but the future of my discipline and of our highly technological society depends on mathematically literate students. Increasingly, I am finding bright students unable to complete a major in atmospheric sciences. All their lives they wanted to be a meteorologist and problems with math had ended their dreams. Most of them had excellent math grades in high school. I have talked in the past about problems with reform or discovery math; an unproven ideology-based instructional approach in vogue among the educational establishment. An approach based on student's "discovering" math principles, group learning, heavy use of calculators, lack of practice and skills building, and heavy use of superficial "spiraling" of subject matter. As I have noted before in this blog, there is no competent research that shows that this approach works and plenty to show that it doesn't. But I have covered much of this already in earlier blogs.

Related: Math Forum audio / video.

Algebra in Wonderland

Melanie Bayley:

SINCE "Alice's Adventures in Wonderland" was published, in 1865, scholars have noted how its characters are based on real people in the life of its author, Charles Dodgson, who wrote under the name Lewis Carroll. Alice is Alice Pleasance Liddell, the daughter of an Oxford dean; the Lory and Eaglet are Alice's sisters Lorina and Edith; Dodgson himself, a stutterer, is the Dodo ("Do-Do-Dodgson").

But Alice's adventures with the Caterpillar, the Mad Hatter, the Cheshire Cat and so on have often been assumed to be based purely on wild imagination. Just fantastical tales for children -- and, as such, ideal material for the fanciful movie director Tim Burton, whose "Alice in Wonderland" opened on Friday.

Yet Dodgson most likely had real models for the strange happenings in Wonderland, too. He was a tutor in mathematics at Christ Church, Oxford, and Alice's search for a beautiful garden can be neatly interpreted as a mishmash of satire directed at the advances taking place in Dodgson's field.

In the mid-19th century, mathematics was rapidly blossoming into what it is today: a finely honed language for describing the conceptual relations between things. Dodgson found the radical new math illogical and lacking in intellectual rigor. In "Alice," he attacked some of the new ideas as nonsense -- using a technique familiar from Euclid's proofs, reductio ad absurdum, where the validity of an idea is tested by taking its premises to their logical extreme.

Fixing US STEM education is possible, but will take money

Todd Morton:

The state of science, technology, engineering and math (STEM) education in the United States has seen some unflattering appraisals in recent years, and deservedly so. In early February, the House of Representatives heard testimony on undergraduate and graduate education. The message from the panel, which included experts from academia, STEM-based industries, and the National Science Foundation (NSF), was clear: the problems in STEM education are well-known, and it's time to take action.

Both the hearing's charter and its chair, Daniel Lipinski (D-IL), pointed out the obvious problem in higher education: students start out interested, but the STEM programs are driving them away. As the National Academies described in its 2005 report Rising Above the Gathering Storm, successful STEM education is not just an academic pursuit--it's a necessity for competing in the knowledge-based economy that the United States had a key role in creating.

The potential for action comes thanks to the fact that the America COMPETES Act of 2007 is up for reauthorization. Its initial focus was on STEM education at the K-12 levels, but efforts at the undergraduate and graduate levels are needed to retain students to fill the jobs left vacant as baby boomers retire.

From his sickbed, Jaime Escalante is still delivering

Esmeralda Bermudez:

There was a time in East Los Angeles when el maestro's el maestro's gruff voice bounced off his classroom walls. He roamed the aisles, he juggled oranges, he dressed in costumes, he punched the air; he called you names, he called your mom, he kicked you out, he lured you in; he danced, he boxed, he screamed, he whispered. He would do anything to get your attention.

"Ganas," he would say. "That's all you need. The desire to learn."

Nearly three decades later, Jaime Escalante finds himself far from Garfield High School in East Los Angeles, the place that made him internationally famous for turning a generation of low-income students into calculus whizzes. Twenty-two years have passed since his classroom exploits were captured in the film "Stand and Deliver."

He is 79 and hunched in a wheelchair at a cancer treatment center in Reno. It is cold outside, and the snow-capped mountains that crown the city where his son brought him three weeks ago on a bed in the back of an old van remind him of his native Bolivia.

Seattle Public Schools Appeal Discovery Math Implementation Court Loss

Martha McLaren:

Today we received notice of the Seattle School District's decision to appeal the Decision of Judge Spector which required the SPS board to reconsider its high school math text adoption vote.

I am deeply disappointed that SPS will funnel more resources into this appeal, which, I suspect, will be more costly than following the judge's instruction to reconsider.

Our attorney tells me: ".... I'll put in a notice of appearance, and then we wait for the District to complete the record by having the documents and transcripts transmitted to the Court of Appeals. They write the first brief, due 45 days after the record is complete.

United STATES Coalition for World Class Math!

via a Jill Gladstone email:

The Florida State DOE posted (leaked) the January 13th confidential draft of the Common Core Standards in their Race to the Top Application. Thank you Florida!

Read them here:

January 13th Draft of Common Core Mathematics.pdf

January 13th Draft of Common English-language Arts.pdf

A few of NJ Coalition for World Class Math's Major Concerns on Jan. 13, 2010 Mathematics draft:

More Rhetoric on the Seattle School District's Court Loss on the Use of Discovery Math

Melissa Westbrook:

For entertainment value read the Discovering Math Q&A in this article in the Seattle Times. The Discovering Math guy (1) doesn't always answer the question asked, (2) answers but doesn't address the topic properly - see the question on if Discovering Math is "mathematically unsound" and (3) sounds like he works for the district.

Here's one example:

The Discovering books have been criticized by parents, but they've been the top pick of a couple of districts in our area, including Seattle and Issaquah. Any thoughts on why the textbooks seem to be more popular with educators than with parents?

Ryan: I think because (parents) lack familiarity -- this doesn't look like what I was taught. I don't know how you get students to a place where more is required of them by repeating things that have been done in the past. That's not how we move forward in life.

What?

Much more on the successful community lawsuit vs. the Seattle School District's implementation of Discovery Math. Math Forum audio / video.

Khan Academy: Math & Science Lessons Online

Spencer Michels:

33-year-old math and science whiz kid -- working out of his house in California's Silicon Valley -- may be revolutionizing how people all over the world will learn math. He is Salman Khan, and until a few months ago he made his living as a hedge fund analyst. But he's become a kind of an unseen rock star in the online instruction field, posting 1200 lessons in math and science on YouTube, none of them lasting more than about 10 minutes. He quit his job at the hedge fund to devote full time to his Khan Academy teaching efforts, which he does essentially for free.

Khan explained how the U.S. unemployment rate is calculated in a NewsHour exclusive video.

Skydiving without Parachutes: Seattle Court Decision Against Discovery Math Implementation

Barry Garelick:

"What's a court doing making a decision on math textbooks and curriculum?" This question and its associated harrumphs on various education blogs and online newspapers came in reaction to the February 4, 2010 ruling from the Superior court of King County that the Seattle school board's adoption of a discovery type math curriculum for high school was "arbitrary and capricious".

In fact, the court did not rule on the textbook or curriculum. Rather, it ruled on the school board's process of decision making--more accurately, the lack thereof. The court ordered the school board to revisit the decision. Judge Julie Spector found that the school board ignored key evidence--like the declaration from the state's Board of Education that the discovery math series under consideration was "mathematically unsound", the state Office of the Superintendent of Public Instruction not recommending the curriculum and last but not least, information given to the board by citizens in public testimony.

The decision is an important one because it highlights what parents have known for a long time: School boards generally do what they want to do, evidence be damned. Discovery type math programs are adopted despite parent protests, despite evidence of experts and--judging by the case in Seattle--despite findings from the State Board of Education and the Superintendent of Public Instruction.

The secret of Schmitz Park Elementary School is Singapore Math

Bruce Ramsey:

Sally made 500 gingerbread men. She sold 3/4 of them and gave away 2/5 of the remainder. How many did she give away?

This was one of the homework questions in Craig Parsley's fifth-grade class. The kids are showing their answers on the overhead projector. They are in a fun mood, using class nicknames. First up is "Crackle," a boy. The class hears from "Caveman," "Annapurna," "Shortcut" and "Fred," a girl.

Each has drawn a ruler with segments labeled by number -- on the problem above, "3/4," "2/5" and "500." Below the ruler is some arithmetic and an answer.

"Who has this as a single mathematical expression? Who has the guts?" Parsley asks. No one, yet -- but they will.

This is not the way math is taught in other Seattle public schools. It is Singapore Math, adopted from the Asian city-state whose kids test at the top of the world. Since the 2007-08 year, Singapore Math has been taught at Schmitz Park Elementary in West Seattle -- and only there in the district.

In the war over school math -- in which a judge recently ordered Seattle Public Schools to redo its choice of high-school math -- Schmitz Park is a redoubt or, it hopes, a beachhead. North Beach is a redoubt for Saxon Math, a traditional program. Both schools have permission to be different. The rest of the district's elementary schools use Everyday Math, a curriculum influenced by the constructivist or reform methods.

Related: Math Forum Audio / Video.

Seattle Citizen Lawsuit over Discovery Math Curriculum Court Transcript

107K PDF. Much more on the citizen's successful lawsuit vs. the Seattle Public Schools here.

'Algebra-for-All' Push Found to Yield Poor Results

Debra Viadero:

Spurred by a succession of reports pointing to the importance of algebra as a gateway to college, educators and policymakers embraced "algebra for all" policies in the 1990s and began working to ensure that students take the subject by 9th grade or earlier.
A trickle of studies suggests that in practice, though, getting all students past the algebra hump has proved difficult and has failed, some of the time, to yield the kinds of payoffs educators seek.
Among the newer findings:

• An analysis using longitudinal statewide data on students in Arkansas and Texas found that, for the lowest-scoring 8th graders, even making it one course past Algebra 2 might not be enough to help them become "college and career ready" by the end of high school.

• An evaluation of the Chicago public schools' efforts to boost algebra coursetaking found that, although more students completed the course by 9th grade as a result of the policy, failure rates increased, grades dropped slightly, test scores did not improve, and students were no more likely to attend college when they left the system.

Related: Madison School District Math Task Force and West High School Math Teachers letter to Isthmus.

Contact the Seattle Public Schools' board and administrators, asks Where's the Math

Martha McLaren:

On February 4th, King County Superior Court Judge Julie Spector ruled that last year's Seattle School board decision to adopt the Discovering high school textbook series was arbitrary and capricious. Judge Spector's ruling was heard and hailed across the country by private citizens and math education advocacy groups.

This unprecedented finding shows school boards and district administration that they need to consider evidence when making decisions. The voice of the community has been upheld by law, but the Seattle School district indicated they plan to appeal, demonstrating the typical arrogant, wasteful practices which necessitated the lawsuit in the first place.

Concerned individuals in Seattle and across the country need to speak up now, and let Seattle administration know that it's time to move forward and refocus on the students, rather than defend a past mistake.

The ruling states:

"The court finds, based upon a review of the entire administrative record, that there is insufficient evidence for any reasonable Board member to approve the selection of the Discovering Series."

More on the Successful Seattle Lawsuit against Discovering Math

Laurie Rogers:

Decision favors plaintiffs in court challenge of Seattle math text adoption

Statement from Laurie Rogers:

Last year, Seattle Public Schools adopted the Discovering math series despite valiant opposition from parents and math professionals, despite poor assessments of the Discovering series' rigor and adherence to the new state math standards, and despite the fact that OSPI did NOT ultimately recommend the Discovering math series.
In response, three people filed a lawsuit, saying that Seattle didn't have sufficient supporting evidence for its adoption, and also that the Discovering series was associated with an INCREASE in achievement gaps.

Recently, a judge agreed with the plaintiffs and - while stopping short of telling Seattle to cease and desist in their adoption - told Seattle to revisit its adoption. The district can continue to use the Discovering series, and Seattle administrators have stated their clear intention to do so.

Nevertheless, the court decision is momentous. It sets a precedent for districts across the country. When board members can't justify their adoption decisions, the people now have legal recourse.

Professor heads for the Hill to promote science education

Julie Luft:

Influencing practice and policy in science education is what drives ASU's Julie Luft and has led to her distinguished service to K-12 science teacher education and renowned research contributions to the field. She considers her recent call from Congress to testify about the status and future of science education to be among her most notable achievements.

Luft delivered her first-time testimony before the House Commerce, Justice, and Science Subcommittee at the STEM (science, technology, engineering and mathematics) Education Hearings that took place Feb. 3-4. She was joined by Craig Strang, associate director of the Lawrence Hall of Science at University of California-Berkeley.

The purpose of the hearing was to inform Congressional subcommittee members about the status and future direction of STEM education in the K-12 sector. STEM education is considered vital to maintaining the United States' leadership in the rapidly advancing world of science and technology. In her testimony, Luft emphasized the importance of inquiry in teacher education and professional development, and the need for more federal funding to support science organizations involved in research and development. She also stressed the unintended consequences of the federal No Child Left Behind legislation, which has limited the amount of inquiry-based instruction in K-12 science classrooms.

Seattle Court Reverses School Board Decision to Implement Discovery Math

Judge Julie Spector's decision [69K PDF], via Martha McLaren:

THIS MATTER having come on for hearing, and the Court having considered the pleadings, administrative record, and argument in this matter, the Court hereby enters the following Findings of Fact, Conclusions of Law, and Order:

FINDINGS OF FACT
1. On May 6, 2009, in a 4-3 vote, the Seattle School District Board of Directors chose the Discovering Series as the District's high school basic math materials.

a. A recommendation from the District's Selection Committee;

b. A January, 2009 report from the Washington State Office of Public Instruction ranking High School math textbooks, listing a series by the Holt Company as number one, and the Discovering Series as number two;

c. A March 11, 2009, report from the Washington State Board of Education finding that the Discovering Series was "mathematically unsound";

d. An April 8, 2009 School Board Action Report authored by the Superintendent;

e. The May 6, 2009 recommendation of the OSPI recommending only the Holt Series, and not recommending the Discovering Series;

f. WASL scores showing an achievement gap between racial groups;

g. WASL scores from an experiment with a different inquiry-based math text at Cleveland and Garfield High Schools, showing that W ASL scores overall declined using the inquiry-based math texts, and dropped significantly for English Language Learners, including a 0% pass rate at one high school;

h. The National Math Achievement Panel (NMAP) Report;

1. Citizen comments and expert reports criticizing the effectiveness of inquiry-based math and the Discovering Series;

J. Parent reports of difficulty teaching their children using the Discovering Series and inquiry-based math;

k. Other evidence in the Administrative Record;

I. One Board member also considered the ability of her own child to learn math using the Discovering Series.

3. The court finds that the Discovering Series IS an inquiry-based math program.

4. The court finds, based upon a review of the entire administrative record, that there IS insufficient evidence for any reasonable Board member to approve the selection of the Discovering Series.

CONCLUSIONS OF LAW
I. The court has jurisdiction under RCW 28A.645.010 to evaluate the Board's decision for whether it is arbitrary, capricious, or contrary to law;

2. The Board's selection of the Discovering Series was arbitrary;

3. The Board's selection of the Discovering Series was capricious;

4. This court has the authority to remand the Board's decision for further review;

5. Any Conclusion of Law which is more appropriately characterized as a
Finding of Fact is adopted as such, and any Finding of Fact more appropriately
characterized as a Conclusion of Law is adopted as such.

ORDER

IT IS HEREBY ORDERED:
The decision of the Board to adopt the Discovering Series is remanded for further proceedings consistent with this opinion.

Dated this 4th day of February, 2010.

Melissa Westbrook has more.

Seattle Math Group Press Release:

Judge Julie Spector today announced her finding of "arbitrary and capricious" in the Seattle School Board's May 6 vote to adopt the Discovering Math series of high school texts despite insufficient evidence of the series' effectiveness.

Judge Spector's decision states, "The court finds, based upon a review of the entire administrative record, that there is insufficient evidence for any reasonable Board member to approve the selection of the Discovering series."

Plaintiffs DaZanne Porter, an African American and mother of a 9th-grade student in Seattle Public Schools, Martha McLaren, retired Seattle math teacher and grandparent of a Seattle Public Schools fifth grader, and Cliff Mass, professor of atmospheric science at the University of Washington, had filed their appeal of the Board's controversial decision on June 5th, 2009. The hearing was held on Tuesday, January 26th, 2010

Want To Know More About STEM?

Melissa Westbrook:

y husband decided to send me a couple of links to various STEM articles which then led me to even more interesting links. If you are interested in this subject from a state and national level, here are some links. Happy reading!

Apparently, Ohio is waaay ahead on this stuff so many of this articles are about different projects in that state.

• From Government Technology magazine, an article about a new STEM school in Ohio.
• From the University of Cincinnati (a key sponsor of a lot of these schools), an article about FUSION (Furthering Urban STEM Innovation, Outreach and New Research).

NEA's New Math Miscues

Mike Antonucci:

Last Friday, NEA heralded the release of its annual Rankings & Estimates report by sending out a press release (embargoed until today) that claimed "inflation over the past decade has outpaced teachers' salaries in every single state across the country." This didn't sound right to researcher Jay P. Greene, so he scrutinized the report and couldn't find a single statistic to back up this claim. On the contrary, NEA's numbers revealed that teachers' salaries had increased 3.4 percent over the past decade, after adjusting for inflation.

New Critiques on the Proposed "Common Core" English & Math Standards

via a kind reader. Math 627K PDF:

This document provides grade level standards for mathematics in grades K-8, and high school standards organized under the headings of the College and Career Readiness Standards in Mathematics. Students reaching the readiness level described in that document (adjusted in response to feedback) will be prepared for non-remedial college mathematics courses and for training programs for career-level jobs. Recognizing that most students and parents have higher aspirations, and that ready for college is not the same as ready for mathematics-intensive majors and careers, we have included in this document standards going beyond the readiness level. Most students will cover these additional standards. Students who want the option of entering STEM fields will reach the readiness level by grade 10 or 11 and take precalculus or calculus before graduating from high school. Other students will go beyond readiness through statistics to college. Other pathways can be designed and available as long as they include the readiness level. The final draft of the K-12 standards will indicate which concepts and skills are needed to reach the readiness level and which go beyond. We welcome feedback from states on where that line should be drawn.

English Language Learners in Mathematics Classrooms
English language learners (ELLs) must be held to the same high standards expected of students who are already proficient in English. However, because these students are acquiring English language proficiency and content area knowledge concurrently, some students will require additional time and all will require appropriate instructional support and aligned assessments.

ELLs are a heterogeneous group with differences in ethnic background, first language, socio-economic status, quality of prior schooling, and levels of English language proficiency. Effectively educating these students requires adjusting instruction and assessment in ways that consider these factors. For example ELLs who are literate in a first language that shares cognates with English can apply first-language vocabulary knowledge when reading in English; likewise ELLs with high levels of schooling can bring to bear conceptual knowledge developed in their first language when reading in a second language. On the other hand, ELLs with limited or interrupted schooling will need to acquire background knowledge prerequisite to educational tasks at hand. As they become acculturated to US schools, ELLs who are newcomers will need sufficiently scaffolded instruction and assessments to make sense of content delivered in a second language and display this content knowledge.

English Language Arts 3.6MB PDF

Catherine Gewertz:

A draft of grade-by-grade common standards is undergoing significant revisions in response to feedback that the outline of what students should master is confusing and insufficiently user-friendly.

Writing groups convened by the Council of Chief State School Officers and the National Governors Association are at work on what they say will be a leaner, better-organized, and easier-to-understand version than the 200-plus-page set that has been circulating among governors, scholars, education groups, teams of state education officials, and others for review in recent weeks. The first public draft of the standards, which was originally intended for a December release but was postponed until January, is now expected by mid-February.

A "Value Added" Report for the Madison School District

Kurt Kiefer:

Attached are the most recent results from our MMSD value added analysis project, and effort in which we are collaborating with the Wisconsin center for Educational Research Value Added Research Center (WCERVARC). These data include the two-year models for both the 2006-2008 and 2005-2007 school year spans.

This allows us in a single report to view value added performance for consecutive intervals of time and thereby begin to identify trends. Obviously, it is a trend pattern that will provide the greatest insights into best practices in our schools.

As it relates to results, there do seem to be some patterns emerging among elementary schools especially in regard to mathematics. As for middle schools, the variation across schools is once again - as it was last year with the first set of value added results - remarkably narrow, i.e., schools perform very similar to each other, statistically speaking.
Also included in this report are attachments that show the type of information used with our school principals and staff in their professional development sessions focused on how to interpret and use the data meaningfully. The feedback from the sessions has been very positive.

Much more on the Madison School District's Value Added Assessment program here. The "value added assessment" data is based on Wisconsin's oft-criticized WKCE.

Table E1 presents value added at the school level for 28 elementary schools in Madison Metropolitan School District. Values added are presented for two overlapping time periods; the period between the November 2005 to November 2007 WKCE administrations, and the more recent period between the November 2006 and November 2008 WKCE. This presents value added as a two-year moving average to increase precision and avoid overinterpretation of trends. Value added is measured in reading and math.

VA is equal to the school's value added. It is equal to the number ofextra points students at a school scored on the WKCE relative to observationally similar students across the district A school with a zero value added is an average school in terms of value added. Students at a school with a value added of 3 scored 3 points higher on the WKCE on average than observationally similar students at other schools.

Std. Err. is the standard error ofthe school's value added. Because schools have only a finite number of students, value added (and any other school-level statistic) is measured with some error. Although it is impossible to ascertain the sign of measurement error, we can measure its likely magnitude by using its standard error. This makes it possible to create a plausible range for a school's true value added. In particular, a school's measured value added plus or minus 1.96 standard errors provides a 95 percent confidence interval for a school's true value added.

N is the number of students used to measure value added. It covers students whose WKCE scores can be matched from one year to the next.

Madison School District Infinite Campus Usage Report

Kurt Kiefer & Lisa Wachtel [1.4MB PDF]:

This report summarizes data on the use of Infinite Campus teacher tools and the Parent and Student Portal. Data come from a survey conducted among all teachers responsible for students within the Infinite Campus system and an analysis of the Infinite Campus data base. Below are highlights from the report.

• About half of all middle and high school teachers responsible for providing grades to students are using the grade book tool.
• Grade book use has declined over the past year at the middle school level due to the introduction of standards- based grading. In addition to the change in grading approach, the grade book tool in Infinite Campus does not handle standards-based grading as efficiently as traditional grading.
• Lesson Planner and Grade book use is most common among World Languages, Physical Education, and Science teachers and less common among fine arts and language arts/reading teachers.
• Grade book and other tool use is most common among teachers with less than three years of teaching experience.
• Seventy percent of teachers responding to the survey within these years of experience category report using the tools compared with about half of all other experience categories.
• Most of the other teacher tools within Infinite Campus, e.g., Messenger, Newsletters, reports, etc., are not being used due to a lack o!familiarity with them.
• Many teachers expressed interest in learning about how they can use other digital tools such as the Moodie leaming management system, blogs, wikis, and Drupal web pages.
• About one third of parents with high school stUdents use the Infinite Campus Parent Portal. Slightly less than 30 percent of parents of middle school students use the Portal. Having just been introduced to elementary schools this fall, slightly more that ten percent of parents of students at this level use the Portal.
• Parents of white students are more likely to use the Portal than are parents of students within other racial/ethnic subgroups.
• About half of all high school students have used the Portal at one time this school year. About one in five middle school students have used the Portal this year.
• Variation in student portal use is wide across the middle and high schools.

Follow up is planned during January 2010 with staff on how we can address some of the issues related to enhancing the use olthese tools among staff, parents, and stUdents. This report is scheduled to be provided to the Board of Education in February 2010.

Much more on Infinite Campus and the Madison School District here.

Have things (Math Education) really changed that much? A letter to a friend.

Martha McClaren:

You ask whether things have changed -- since math wasn't being taught well 40+ years ago either. You're absolutely right on that, but I believe it's only gotten worse over the years, as more and more math phobic people have gone into the field of education. These people never understood math well, so their teaching had to be based on rote following of procedures, etc. Then came "new math", which was an effort to reinvent math and make it more accessible. That bombed, and the efforts to reinvent continued.

What happened is that eventually those bright, math-phobic folks took over the education establishment. They reinvented math to be gentler, kinder, and more fun. Some of the hallmarks are: Small group problem solving, with students figuring our their own solutions to challenging problems. Visiting many topics for only a few weeks each year and moving on, regardless of whether any real mastery was attained. The thinking was/is that students will revisit the topics again in successive years, and will painlessly absorb the concepts. This turns out to be an extremely inefficient way to teach math, so, in order to have enough time to do all these hands-on projects in groups, the explanation of the underlying structure of math and and practice with standard algorithms have all been chucked.

What's your experience with the new (Discovery) math textbooks?

KUOW.org:

Last year Seattle Public Schools selected new, "inquiry-based" math textbooks. Now there's a lawsuit against the district over the Discovering Mathematics series of textbooks.

Do you have a child in school who is using the new textbooks? What is your experience with inquiry-based math education? KUOW's Ross Reynolds is planning a show on Wednesday, February 3 in the 12 o'clock hour. We'd like to hear from you by Wednesday morning. Share your experience with KUOW by filling out the form below, or call 206.221.3663.

Discussing Rigor at Seattle's Rainier Beach High School

Michael Rice:

I was reading the comments in an earlier post about the new assignment plan and there were many comments about the rigor or lack there of at Rainier Beach High School. I would like to dispel the myth that Rainier Beach does not offer rigor to the high achieving student. If you have a high achieving 8th grader and are in the RBHS attendance area, here is just a sample of what you can expect:

In math as a Freshman, you will start in at least Honors Geometry with Ms. Lessig who is our best math teacher. Once you get through that, you will take Honors Advanced Algebra with me, then Pre Calculus with Mr. Bird (a math major in college) and then as a Senior, you take AP Calculus with Ms. Day, a highly experienced and skilled teacher. As a bonus, in either your Junior or Senior year, you get to take AP Statistics with me. All of these classes are demanding and well taught by teachers who know what they are doing and are passionate about teaching math.

Response to Danny Westneat 1/27 Math column in Seattle Times

Martha McLaren:

I am one of the three plaintiffs in the math textbook appeal. I am also the white grandmother of an SPS fifth grader, and a retired SPS math teacher.

Mr. Westneat grants that the textbooks we are opposing may be "lousy," but he faults us for citing their disproportionate effect on ethnic, racial, and other minorities. He states that we can't prove this claim. I disagree, and West Seattle Dan has posted voluminous statistics in response to the column. They support our claim that inquiry-based texts, which have now accrued a sizable track record, are generally associated with declining achievement among most students and with a widening achievement gap between middle class whites and minorities.

We've brought race and ethnicity (as well as economic status) into this appeal because there is ample evidence that it is a factor. True, this is not the 80's, and true, in my 10 years of experience teaching in Seattle Schools, I found no evidence that people of color are less capable than whites of being outstanding learners. However, in my 30+ years as a parent and grandparent of SPS students and my years as a teacher, I've developed deep, broad, awareness of the ways that centuries of societally mandated racism play out in our classrooms, even in this era of Barack Obama's presidency.

On Seattle's "Discovery Math" Lawsuit: "Textbook argument divides us"

Danny Westneat:

Can an algebra textbook be racist?

That's what was argued Tuesday in a Seattle courtroom. Not overtly racist in that a book of equations and problem sets contains hatred or intolerance of others. But that its existence -- its adoption for use in Seattle classrooms -- is keeping some folks down.

"We're on untested ground here," admitted Keith Scully.

He's the attorney who advanced this theory in a lawsuit challenging Seattle Public Schools' choice of the Discovering series of math textbooks last year.

The appeal was brought by a handful of Seattle residents, including UW atmospheric-sciences professor Cliff Mass. It says Seattle's new math books -- and a "fuzzy" curriculum they represent -- are harmful enough to racial and other minorities that they violate the state constitution's guarantee of an equal education.

It also says the School Board's choice of the books was arbitrary.

Mostly, Mass just says the new textbooks stink. For everyone. But he believes they will widen the achievement gap between whites and some minority groups, specifically blacks and students with limited English skills.

Lawsuit Challenging the Seattle School District's use of "Discovering Mathematics" Goes to Trial

Martha McLaren, DaZanne Porter, and Cliff Mass:

Today Cliff Mass and I, (DaZanne Porter had to be at a training in Yakima) accompanied by Dan Dempsey and Jim W, had our hearing in Judge Julie Spector's King County Superior Courtroom; the event was everything we hoped for, and more. Judge Spector asked excellent questions and said that she hopes to announce a decision by Friday, February 12th.

The hearing started on time at 8:30 AM with several members of the Press Corps present, including KIRO TV, KPLU radio, Danny Westneat of the Seattle Times, and at least 3 others. I know the number because, at the end, Cliff, our attorney, Keith Scully, and I were interviewed; there were five microphones and three cameras pointed towards us at one point.

The hearing was brief; we were done by 9:15. Keith began by presenting our case very clearly and eloquently. Our two main lines of reasoning are, 1) that the vote to adopt Discovering was arbitrary and capricious because of the board's failure to take notice of a plethora of testimony, data, and other information which raised red flags about the efficacy of the Discovering series, and 2) the vote violated the equal education rights of the minority groups who have been shown, through WASL scores, to be disadvantaged by inquiry based instruction.

Realistically, both of these arguments are difficult to prove: "arbitrary and capricious" is historically a very, very difficult proof, and while Keith's civil rights argument was quite compelling, there is no legal precedent for applying the law to this situation.

The School District's attorney, Shannon McMinimee, did her best, saying that the board followed correct procedure, the content of the books is not relevant to the appeal, the books do not represent inquiry-based learning but a "balanced" approach, textbooks are merely tools, etc., etc. She even denigrated the WASL - a new angle in this case. In rebuttal, Keith was terrific, we all agreed. He quoted the introduction of the three texts, which made it crystal clear that these books are about "exploration." I'm blanking on other details of his rebuttal, but it was crisp and effective. Keith was extremely effective, IMHO. Hopefully, Dan, James, and Cliff can recall more details of the rebuttal.

Associated Press:

A lawsuit challenging the Seattle School District's math curriculum went to trial Monday in King County Superior Court.

A group of parents and teachers say the "Discovering Math" series adopted last year does a poor job, especially with minority students who are seeing an achievement gap widen.

A spokeswoman for the Seattle School District, Teresa Wippel, says it has no comment on pending litigation.

KOMO-TV reports the district has already spent $1.2 million on Discovering Math books and teacher training.

Cliff Mass:

On Tuesday, January 26th, at 8:30 AM, King County Superior Court Judge Julie Spector will consider an appeal by a group of Seattle residents (including yours truly) regarding the selection by Seattle Public Schools of the Discovering Math series in their high schools. Although this issue is coming to a head in Seattle it influences all of you in profound ways.

In this appeal we provide clear evidence that the Discovery Math approach worsens the achievement gap between minority/disadvantaged students and their peers. We show that the Board and District failed to consider key evidence and voluminous testimony, and acted arbitrarily and capriciously by choosing a teaching method that was demonstrated to produce a stagnant or increasing achievement gap. We request that the Seattle Schools rescind their decision and re-open the textbook consideration for high school.

A Few Comments on Monday's State of the Madison School District Presentation

Madison School District Superintendent Dan Nerad will present the "State of the Madison School District 2010" tomorrow night @ 5:30p.m. CST.

The timing and content are interesting, from my perspective because:

• The nearby Verona School District just approved a Mandarin immersion charter school on a 4-3 vote. (Watch the discussion here). Madison lags in such expanded "adult to student" learning opportunities. Madison seems to be expanding "adult to adult" spending on "coaches" and "professional development". I'd rather see an emphasis on hiring great teachers and eliminating the administrative overhead associated with growing "adult to adult" expenditures.
• I read with interest Alec Russell's recent lunch with FW de Klerk. de Klerk opened the door to South Africa's governance revolution by freeing Nelson Mandela in 1990:

  History is moving rather fast in South Africa. In June the country hosts football's World Cup, as if in ultimate endorsement of its post-apartheid progress. Yet on February 2 1990, when the recently inaugurated state President de Klerk stood up to deliver the annual opening address to the white-dominated parliament, such a prospect was unthinkable. The townships were in ferment; many apartheid laws were still on the books; and expectations of the balding, supposedly cautious Afrikaner were low.

  How wrong conventional wisdom was. De Klerk's address drew a line under 350 years of white rule in Africa, a narrative that began in the 17th century with the arrival of the first settlers in the Cape. Yet only a handful of senior party members knew of his intentions.

  I sense that the Madison School Board and the Community are ready for new, substantive adult to student initiatives, while eliminating those that simply consume cash in the District's $418,415,780 2009-2010 budget ($17,222 per student).
• The "State of the District" document [566K PDF] includes only the "instructional" portion of the District's budget. There are no references to the $418,415,780 total budget number provided in the October 26, 2009 "Budget Amendment and Tax Levy Adoption document [1.1MB PDF]. Given the organization's mission and the fact that it is a taxpayer supported and governed entity, the document should include a simple "citizen's budget" financial summary. The budget numbers remind me of current Madison School Board member Ed Hughes' very useful 2005 quote:

  This points up one of the frustrating aspects of trying to follow school issues in Madison: the recurring feeling that a quoted speaker - and it can be someone from the administration, or MTI, or the occasional school board member - believes that the audience for an assertion is composed entirely of idiots.

  In my view, while some things within our local public schools have become a bit more transparent (open enrollment, fine arts, math, TAG), others, unfortunately, like the budget, have become much less. This is not good.
• A new financial reality. I don't see significant new funds for K-12 given the exploding federal deficit, state spending and debt issues and Madison's property tax climate. Ideally, the District will operate like many organizations, families and individuals and try to most effectively use the resources it has. The recent Reading Recovery report is informative.

I think Dan Nerad sits on a wonderful opportunity. The community is incredibly supportive of our schools, spending far more per student than most school Districts (quite a bit more than his former Green Bay home) and providing a large base of volunteers. Madison enjoys access to an academic powerhouse: the University of Wisconsin and proximity to MATC and Edgewood College. Yet, District has long been quite insular (see Janet Mertz's never ending efforts to address this issue), taking a "we know best approach" to many topics via close ties to the UW-Madison School of Education and its own curriculum creation business, the Department of Teaching and Learning.

In summary, I'm hoping for a "de Klerk" moment Monday evening. What are the odds?

Will China Achieve Science Supremacy?

Room for Debate:

A recent Times article described how China is stepping up efforts to lure home the top Chinese scholars who live and work abroad. The nation is already second only to the United States in the volume of scientific papers published, and it has, as Thomas Friedman pointed out, more students in technical colleges and universities than any other country.

But China’s drive to succeed in the sciences is also subjecting its research establishment to intense pressure and sharper scrutiny. And as the standoff last week between Google and China demonstrated, the government controls the give and take of information.

How likely is it that China will become the world’s leader in science and technology, and what are the impediments to creating a research climate that would allow scientists to thrive?

Articles and Books on Mathematics Education

The winter 2009-2010 issue of "American Educator", has a number of interesting articles. Here are two of interest for people interested in mathematics education.

Daniel Willingham "Is It True That Some People Just Can't Do Math"

Patsy Wang-Iverson, Perla Myers, and Edmund Lim W.K. "Beyond Singapore's Mathematics Textbooks - Focused and Flexible Supports for Teaching and
Learning"

The first has a number of useful references as well as comments. Here is one. There have been many papers written in Madison on student's lack of understanding of the equal sign. I once asked Liping Ma if this was a problem in China. She said that as far as she knew it was not. There is confirmation of this in one of the references.

Four questions asked of sixth grade students in the U.S. and China.

The paper which includes this is "Sources of Differences in Children's Understanding of Mathematical Equality: Comparative Analysis of Teacher Guides and Student Texts in China and the United States", by Xiaobao Li, Meixia Ding, Mary Margaret Capraro, Robert M. Capraro. It appeared in Cognition and Instruction, vol. 26, no. 2, pages 195-217, in 2008.

The second article in American Educator has comments on curriculum, teacher induction and education and support while teaching. There is also a one page supplemental article on teacher professional development and evaluation by Susan Sclafani and Edmund Lim W.K.

In addition there have been two very interesting books on school mathematics education written by mathematicians. The first is "Arithmetic for Parents: A Book for Grownups about Children's Mathematics" by Ron Aharoni, Sumizdat, 2007. An article by Aharoni about his experience teaching mathematics in an elementary school in Israel can be read here. This is a good introduction to his book, and more useful details are in the
book.

The second is "And All the Children Are Above Average: A Review of The End of Ignorance: Multiplying Our Human Potential" by John Mighton, a Canadian mathematician and playwright. The paperback version of this book was published by Vintage Canada. You can read about Mighton here. and there is also information about his math program JUMP here. This program was developed after Mighton learned a number of things while tutoring students who had significant problems in learning elementary mathematics. A review of this book by David Kirshner appeared in the Journal for Research in Mathematics Education in the January, 2010 issue.

Universities Pledge to Train Thousands More Math and Science Teachers by 2015

Libby Nelson:

President Obama announced on Wednesday a partnership between federal agencies and public universities to train thousands more mathematics and science teachers each year, part of the administration's effort to make American students more competitive globally in science, technology, engineering, and math.

Leaders of 121 public universities have pledged to increase the total number of science and math teachers they prepare every year to 10,000 by 2015, up from the 7,500 teachers who graduate annually now.

Forty-one institutions, including California's two university systems and the University of Maryland system, said they would double the number of science and math teachers they trained each year by 2015.

The partnership is part of the Obama administration's "Educate to Innovate" campaign, a program announced in November that seeks to join government agencies, businesses, and universities in efforts to improve math and science education.

How Good Are University of Washington Students in Math?

Cliff Mass:

As many of you know, I have a strong interest in K-12 math education, motivated by the declining math skills of entering UW freshmen and the poor math educations given to my own children. Last quarter I taught Atmospheric Sciences 101, a large lecture class with a mix of students, and gave them a math diagnostic test as I have done in the past.

The results were stunning, in a very depressing way. This was an easy test, including elementary and middle school math problems. And these are students attending a science class at the State's flagship university--these should be the creme of the crop of our high school graduates with high GPAs. And yet most of them can't do essential basic math--operations needed for even the most essential problem solving.

A copy of the graded exam is below (click to enlarge) and a link to a pdf version is at:
http://www.atmos.washington.edu/~cliff/101Math2009A1.pdf

Elmbrook gets UW-Waukesha classes: "Professors Save Students the Trip"

Amy Hetzner, via a kind reader's email:

By the time the first bell rings at Brookfield Central High School, most of the students in Room 22 are immersed in college-level vector equations, reviewing for their final exam on the Friday before Christmas.

Senior Lea Gulotta, however, looks on the bright side of waking early every morning for the past semester so she can take a Calculus 3 class taught at the school by a college professor.

"We get to sleep in for a month," she said, noting that the regular high school semester won't end until mid-January.

There's another positive to Brookfield Central's agreement with the University of Wisconsin-Waukesha continuing education department, which brought the advanced mathematics class to the high school this year as part of the state's youth options program. Under youth options, school districts pick up the costs of courses at Wisconsin colleges if they don't have similar offerings available to students.

Instead of seeing students spend extra time commuting and attending class on a college campus, the arrangement placed the professor in the high school to teach 11 students who had completed advanced-placement calculus as juniors. Two of the students in the class come from the Elmbrook School District's other high school, Brookfield East.

Elmbrook pays UW-Waukesha the same tuition that it would pay if its students chose to attend the college campus on their own, she said.

Related: Janet Mertz's tireless crusade on credit for non-Madison School District classes.

The science of science education

Irving Epstein:

More minority students need to be lured into the sciences. One program has been a resounding success.

At most universities, freshman chemistry, a class I've taught for nearly 40 years, is the first course students take on the road to a career in the health professions or the biological or physical sciences. It's a tough course, and for many students it's the obstacle that keeps them from majoring in science. This is particularly true for minority students.

In 2005, more than two-thirds of the American scientific workforce was composed of white males. But by 2050, white males will make up less than one-fourth of the population. If the pipeline fails to produce qualified nonwhite scientists, we will, in effect, be competing against the rest of the world with one hand tied behind our backs.

We've been able to survive for the last several decades in large measure because of the "brain drain" -- the fact that the most able students from other countries, particularly China and India, have come here to study science at our best universities and, in many cases, have stayed to become key players in our scientific endeavors.

Silicon Valley companies' help needed to shore up math education

Muhammed Chaudhry:

Thirteen-year-old Kayla Savage was failing math. Like many of her classmates in middle school, she hated the subject. Stuck in a large seventh-grade class with a teacher who had little time to offer individual help, Kayla was lost among rational numbers and polynomials.

Her frustration led to a phobia of math, an all-too-common affliction that often starts in middle school and threatens to derail students' future math studies in high school and chances for college.

Kayla is like thousands of students across America who struggle with math. The struggle in California is borne out by this grim U.S. Education Department statistic: Students in California rank 40th in eighth-grade math, a critical year in math learning that sets the path for math success in high school and beyond.

In Santa Clara County, only about 39 percent of eighth-graders meet the California standard for Algebra I proficiency. One study showed that less than one-third of eighth-graders have the skills or interest to pursue a math or science career. Yet these careers are the drivers of our future.

Silicon Valley Education Foundation.

Times Guest Column on STEM Education

Charlie Mas:

There was a guest column in the Seattle Times by Bonnie Dunbar, the president and CEO of The Museum of Flight and a former astronaut, encouraging the community to support STEM education efforts.

The column itself was the usual pointless pablum that we typically see in these guest columns. Lots of goals with no action plan. The interesting bit, as usual, comes in the reader comments in which members of the community writes that we DON'T need more engineers because there are lots of them standing in unemployment lines and that engineering jobs are being outsourced to India and China or to people from India and China who come to the U.S. on guest worker visas.

This article is also written completely without reference to the ineffective math education methods adopted over the past ten years.

New Programs Aim to Lure Young Into Digital Jobs

Steve Lohr:

Growing up in the '70s, John Halamka was a bookish child with a penchant for science and electronics. He wore black horn-rimmed glasses and buttoned his shirts up to the collar.

"I was constantly being called a geek or a nerd," he recalled, chuckling.

Dr. Halamka grew up to be something of a cool nerd, with a career that combines his deep interests in medicine and computing, and downtime that involves rock climbing and kayaking.

Now 47, Dr. Halamka is the chief information officer at the Harvard Medical School, a practicing emergency-ward physician and an adviser to the Obama administration on electronic health records.

Hybrid careers like Dr. Halamka's that combine computing with other fields will increasingly be the new American jobs of the future, labor experts say. In other words, the nation's economy is going to need more cool nerds. But not enough young people are embracing computing -- often because they are leery of being branded nerds.

Will Cleveland High School Become Seattle Superintendent Maria Goodloe-Johnson's Crown Jewel or Albatross?

Nina Shapiro:

As Seattle Public Schools released new details about its latest transformation plan for perpetually-troubled Cleveland High School over the past week, there's been a collective eye roll among some teachers there.
"I've been here for 15 years and every other year we do this," says math teacher David Fisher, referring to a long string of ballyhooed overhauls that the Beacon Hill school has embarked on at the behest of the district.

One thing is different: The district is promising to pour money into this reinvention of Cleveland as the School of Science, Technology, Engineering and Mathematics (STEM). It proposes to spend more than $4 million over the first three years, according to a report at last Wednesday's school board meeting by Superintendent Goodloe-Johnson. That's a lot of money for a school that is already up and running. (See the breakdown of spending on page 8 of this pdf.)

Melissa Westbrook has more.

Salman Khan, math master of the Internet

James Temple:

During the years Salman Khan spent scrutinizing financials for hedge funds, he rationalized the profit-obsessed work by telling himself he would one day quit and use his market winnings to open a free school.

It began with long-distance tutoring in late 2004. He agreed to help his niece Nadia, then a seventh-grader struggling with unit conversion, by providing math lessons over Yahoo's interactive notepad, Doodle, and the phone.

Nephews and family friends soon followed. But scheduling conflicts and repeated lectures prompted him to post instructional videos on YouTube that his proliferating pupils could watch when they had the time.

They did - and before long, so did thousands of others. Today, the Mountain View resident's 800-plus videos are viewed about 35,000 times a day, forming a virtual classroom that dwarfs any brick and mortar school he might have imagined. By using the reach of the Internet, he's helped bring education to the information-hungry around the world who can't afford private tutors or Kaplan prep courses.

www.khanacademy.org/.

Tracking/Grouping Students: Detracked Schools have fewer advanced math students than "tracked schools"

Tom Loveless:

What are the implications of "tracking," or grouping students into separate classes based on their achievement? Many schools have moved away from this practice and reduced the number of subject-area courses offered in a given grade. In this new Thomas B. Fordham Institute report, Brookings scholar Tom Loveless examines tracking and detracking in Massachusetts middle schools, with particular focus on changes that have occurred over time and their implications for high-achieving students. Among the report's key findings: detracked schools have fewer advanced students in mathematics than tracked schools. The report also finds that detracking is more popular in schools serving disadvantaged populations.

Valerie Strauss:

A new report out today makes the case that students do better in school when they are separated into groups based on their achievement.

Loveless found that de-tracked schools have fewer advanced students in math than do tracked schools--and that de-tracking is more popular in schools that serve disadvantaged students.

Chester Finn, Jr. and Amber Winkler [1.3MB complete report pdf]:

By 2011, if the states stick to their policy guns, all eighth graders in California and Minnesota will be required to take algebra. Other states are all but certain to follow. Assuming these courses hold water, some youngsters will dive in majestically and then ascend gracefully to the surface, breathing easily. Others, however, will smack their bellies, sink to the bottom and/or come up gasping. Clearly, the architects of this policy have the best of intentions. In recent years, the conventional wisdom of American K-12 education has declared algebra to be a "gatekeeper" to future educational and career success. One can scarcely fault policy makers for insisting that every youngster pass through that gate, lest too many find their futures constrained. It's also well known that placing students in remedial classes rarely ends up doing them a favor, especially in light of evi- dence that low-performing students may learn more in heterogeneous classrooms.

Yet common sense must ask whether all eighth graders are truly prepared to succeed in algebra class. That precise question was posed in a recent study by Brookings scholar Tom Loveless (The 2008 Brown Center Report on American Education), who is also the author of the present study. He found that over a quarter of low-performing math students--those scoring in the bottom 10 percent on NAEP--were enrolled in advanced math courses in 2005. Since these "misplaced" students are ill-pre- pared for the curricular challenges that lie ahead, Loveless warned, pushing an "algebra for all" policy on them could further endanger their already-precarious chances of success.

When American education produced this situation by abolishing low-level tracks and courses, did people really believe that such seemingly simple--and well-meanin --changes in policy and school organization would magically transform struggling learners into middling or high-achieving ones? And were they oblivious to the effects that such alterations might have on youngsters who were al- ready high-performing?

Related: English 10.

Latest cause of foreclosures: Kids didn't learn it in school

Jo Egelhoff:

Nanny State Update: I don't get this. Why would instructions be issued to teach kids - to be required to teach kids - about taking out a mortgage and the risks of a home loan?.

Why would teachers need to be told to teach kids about money management? How much more of this stuff are these poor teachers going to be mandated to teach?

The state's Model Academic Standards for Personal Financial Literacy are extensive and detailed. A quick glance at the Table of Contents tells you DPI has it covered. Peek inside (Credit and Debt management, pp. 8 - 10) and you'll see tons of objectives and sub-objectives for 4th graders, 8th graders and 12th graders. Check it out. Yes, I think we're covered!

Basic knowledge of Math should be sufficient to help all of us understand loans that make sense, vs those that don't. I continue to be amazed at the financial pitches that apparently work: $89/month for a new Honda Civic (fine print: big down payment and a balloon payment after x years).

Math Gains Stall in Big Cities

John Hechinger:

Most urban school districts failed to make significant progress in math achievement in the past two years, and had scores below the national average, according to a federal study.

The results, released Tuesday by the Department of Education, offer more ammunition to critics who question claims of academic progress in districts such as New York City. But federal and schools officials said that many of these districts had shown large gains since 2003, and didn't lose ground despite budget constraints.

Four of the 11 school districts the study has tracked since 2003 -- including Washington, D.C., which is in the throes of a turnaround effort -- bucked the trend and showed solid gains between 2007 and 2009.

Urban districts are central to federal efforts to improve U.S. education, especially among poor and minority students, who are disproportionately taught in underperforming schools. Congress is likely to look at the fresh data when it considers, as soon as next year, reauthorizing George W. Bush's No Child Left Behind law, which requires that all students be proficient in reading and math by 2014. The law relies on state tests, but critics -- liberals and conservatives -- worry that states may be making the tests too easy.

2009 NAEP Math Results

The Nation's Report Card:

Scores for most districts higher than in 2003, but few make gains since 2007

Representative samples of fourth- and eighth-grade public school students from 18 urban districts participated in the 2009 assessment. Eleven of the districts also participated in the 2007 assessment, and 10 participated in 2003. Between 1,800 and 4,300 fourth- and eighth-graders were assessed in each district.

• In comparison to 2007, average mathematics scores for students in large cities increased in 2009 at both grades 4 and 8; however, only two participating districts at each grade showed gains.
• Scores were higher in 2009 for Boston and the District of Columbia at grade 4, and for Austin and San Diego at grade 8.
• No districts showed a decline in scores at either grade.
• In comparison to 2003, scores for students in large cities were higher in 2009 at both grades 4 and 8.
• Increases in scores were also seen across most urban districts that participated in both years, except in Charlotte at grade 4 and in Cleveland at grades 4 and 8, where there were no significant changes.

Complete 13MB pdf report can be found here.

Notes and Commentary on a Seattle STEM High School

Charlie Mas:

I attended the Cleveland STEM Community Meeting on December 4 with my wife and 8th grade daughter.

First, the important parts.

My daughter is excited about the program. To her it looks like a good mix of the academic challenge of Garfield with the more personalized instruction (and project-based learning) of NOVA. She got most excited when she saw a list of the possible classes in the Global Health Academy.

My wife and I are much more confident about the probability that the program will actually be there and that it will be something like what has been advertised.

There was a pretty good crowd of people there - I'd say about forty to fifty (not counting staff).

The folks from Cleveland who were there are excited about the program and have a very clear picture of the idea - the project-based learning, the integration of technology, the alignment between classes, the extended school day and accelerated schedule, etc.

The STEM program looks real and, to us, it looks good. They still have some things to work out. The schedule is inspired, but needs some tinkering. They haven't figured out how to get the student:computer ratio to the promised 1:1. They are still missing a lot of the curricular elements - they haven't found the puzzle pieces but they know what they have to look like.

Step-by-Step Math

Wolfram|Alpha:

Have you ever given up working on a math problem because you couldn't figure out the next step? Wolfram|Alpha can guide you step by step through the process of solving many mathematical problems, from solving a simple quadratic equation to taking the integral of a complex function.

When trying to find the roots of 3x2+x-7=4x, Wolfram|Alpha can break down the steps for you if you click the "Show steps" button in the Result pod.

1 Moment

1 MomΣnt from Jackson Eagan on Vimeo.

This is a music video parody of Eminem's award-winning song "Lose Yourself." Instead of a depressed rapper, we have a troubled math student who tries to find his way into the math scene by engaging in tough algebra tests, breakdance battles, and nail-biting underground math competitions.

This project was started by East High's math department; it was written by Daniel Torres. After a long recording session, four shoots, and countless hours editing, this is the end result.

I understand that the genesis of it is that last year Alan Harris told the different departments at East that they should have a theme song or something. This started out as the math department's theme song (written by a teacher, based on an Eminem song) and then Jackson Eagan, an East senior, decided to produce a video for it, starring another East math teacher.

Pilot program adds finance to school curriculum

Jonathan Tamari:

With New Jersey high schools already facing a new mandate to teach students financial literacy, at least six school districts will be able to participate in a pilot program that establishes a class on the topic for seniors.
The state Department of Education in June added economics and financial literacy instruction to the state's high school graduation requirements.

At the same time, a bill working its way through the Legislature aimed to create a financial literacy pilot program, establishing a course on the subject in six districts. Those schools would receive advice and support from the state in establishing those classes.

Gov. Corzine signed the pilot-program bill on Nov. 20. The program, which will set up courses for high school seniors, will cover topics such as budgeting, savings and investment, and credit-card debt.

"So many young New Jerseyans find out all too late that living in a credit-card culture carries a price," said Senate Majority Leader Stephen Sweeney (D., Gloucester), one of the law's sponsors.

I would hope that essential financial calculations would be covered in Math class.

White House Plans Campaign to Promote Science and Math Education

Kenneth Chang:

To improve science and mathematics education for American children, the White House is recruiting Elmo and Big Bird, video game programmers and thousands of scientists.

President Obama will announce a campaign Monday to enlist companies and nonprofit groups to spend money, time and volunteer effort to encourage students, especially in middle and high school, to pursue science, technology, engineering and math, officials say.

The campaign, called Educate to Innovate, will focus mainly on activities outside the classroom. For example, Discovery Communications has promised to use two hours of the afternoon schedule on its Science Channel cable network for commercial-free programming geared toward middle school students.

Science and engineering societies are promising to provide volunteers to work with students in the classroom, culminating in a National Lab Day in May.

2009 SAT Male / Female Ratio Test Scores

Mark Perry:

The chart above shows the male-female test score ratio for the 2009 SAT math test (data here). For example, for perfect scores of 800, males (6,928) outnumbered females (3,124) by a ratio of 2.22 to 1. In other words, 69% of test-takers who got perfect math scores were males vs. 31% of perfect scores by females. Or we could also say that there 222 high school boys who got perfect SAT math scores for every 100 high school girls.

The graph further shows that boys outperformed girls at all 23 math test scores between 580-800 (10 point intervals, with male-female ratios of 1.0 or above), and then for math test scores between 200 points and 570, girls outnumbered boys (male-female ratio below 1.0).

Computer pioneer Sir Maurice Wilkes: vision and vacuum tubes

Jack Schofield:

Sir Maurice Wilkes, 96, one of the pioneers of British computing, strolls through the history the he helped create

Walk round the National Museum of Computing at Bletchley Park and sooner or later you'll hear a cry of recognition and someone will say: "I remember using one of those." It probably doesn't happen often to The Millionaire, a mechanical calculator that went into production in 1893, but Sir Maurice Wilkes spotted it, adding: "We used to have one in the lab. I hope it's still there."

In this case, "the lab" was what became the Cambridge University Computer Lab, which Wilkes headed from 1945 until 1980. It was where he built Edsac, one of the world's first electronic computers, using sound beams traversing baths of mercury for the memory units. Edsac (Electronic Delay Storage Automatic Calculator) first ran in May 1949, so this year a dinner was held to celebrate its 60th birthday. And, of course, to celebrate Wilkes himself, who is a bright, sharp 96 years of age, and has seen most of the history of computing at first hand.

How sharp? On seeing the museum's air traffic control display, which fascinates many visitors, he immediately asks: "Where's the radar?" Ah, well, there isn't one. The displays are running real radar sequences but they're recorded. Wilkes, the consummate hardware guy, doesn't just see the screen, he looks to see how the whole system fits together.

Learning Math From the Rubik's Cube

Jennifer Lee:

Can a Rubik's Cube boost student confidence?

About a dozen New York City schools have introduced a child-friendly Rubik's Cube-based math curriculum devised for students as young as 8. In addition, New York City's Department of Parks and Recreation is planning to introduce Rubik's Cube solving at its 32 after-school program sites citywide within the next few weeks.

These actions are happening under a program conceived around two years ago by the company that owns the license to the Rubik's Cube, Seven Towns, which is based in London. In an attempt to make the cube part of an educational curriculum, the company took the relatively cryptic problem-solving guides and made them more student-friendly by adding colorful illustrations and simplifying the instructions.

How Do Students at Wright Compare to Their Peers at Other MMSD Middle Schools?

Via Jeff Henriques:

Examining the performance of only economically disadvantaged students in 8th grade, after two years and a quarter at Wright Middle School, compared with other MMSD middle schools.

Click for a larger view:

Racial Achievement Gap Still Plagues Schools

Nancy Solomon via a kind reader's email:

American schools have struggled for decades to close what's called the 'minority achievement gap' -- the lower average test scores, grades and college attendance rates among black and Latino students.

Typically, schools place children who are falling behind in remedial classes, to help them catch up. But some schools are finding that grouping students by ability, also known as tracking or leveling, causes more problems than it solves.

Columbia High School in Maplewood, N.J., is a well-funded school that is roughly 60 percent black and 40 percent white. The kids mix easily and are friendly with one another. But when the bell rings, students go their separate ways.

Teacher Noel Cooperberg's repeat algebra class last year consisted of all minority kids who had flunked the previous year. There were only about a dozen students because the school keeps lower-level classes small to try to boost success. But a group of girls sitting in the middle never so much as picked up a pencil, and they often disrupted the class. It was a different scene from Cooperberg's honors-level pre-calculus class, which had three times as many students -- most of them white.

These two classes are pretty typical for the school. Lower-level classes -- called levels two and three -- are overwhelmingly black, while higher-level four and five are mostly white. Students are assigned to these levels by a combination of grades, test scores and teacher recommendations.

Madison School District Administration Response to the Math Task Force

The local school district's increasing use of reform math programs lead to the creation of a "Math Task Force". The District Administration's response is outlined in this 2.6MB PDF document:

The purpose of this report is to describe the recomrnendations in response to the Madison Metropolitan School District Mathematics Task Force Report: Review of Mathematics Curriculum and Related Issues, submitted to the Board of Education June, 2008.

Administrative Recommendations Summary The materials included in this packet update and replace those distributed to the Board of Education in April 2009. Included in the materials is a proposed budget.

Middle School Mathematics Specialists (see Recommendations 1-5)

The Superintendent and UW-Madison Deans of Letters and Sciences and the School of Education commissioned a representative and collaborative group to design a professional development plan for this initiative. The group was convened in June and has since met four times during the summer to research and design a professional development plan to support middle school mathematics teachers.

The Middle School Math Partnership committee has tentatively planned five courses for the professional development proposal. Those courses are Number and Generalization, Rational Number and Proportional Reasoning, Geometry, Measurement and Trigonometry, and Algebra and Functions. The courses would be spread out over two years and be co-facilitated by UW and MMSD staff.

Research, data gathering and design will continue through 2009-2010 with the initial cohort of middle school teachers beginning in summer 2010. Upon completion of an initial draft, the plan will be presented to district teachers for further input and refinement.

In collaboration with the above group, a National Science Foundation Targeted Partnership proposal, Professional Learning Partnership K-20 (PLP K-20), was submitted on August 20, 2009. A UW-Madison and MMSD team of nearly 30 members worked during the summer to craft a proposal focused on systemic and sustainable mathematics professional development. The vision described in the proposal creates "a lasting interface to coordinate material, human, social, and cyber resources" among the UW-Madison and District. The principal investigator of the NSF proposal is Eric Wilcots. Co-Pl's include Provost Deluca, Superintendent Nerad, Dean Sandefur and Dean Underwood.

Background notes and links:

• Math Forum audio & video links.
• West High School Math Teacher letter to Isthmus.
• UW-Madison Math Faculty (35 signatures) open letter to the Madison School District about the Math Coordinator Position.
• Madison School District 8th Grade Math Data.

Again, it will be interesting to see what, if any substantive changes occur in the local math programs.

Madison School District Strategic Plan: Nirvana by 2014/2015?

The Madison School Board recently passed the District's Strategic Plan. Superintendent Dan Nerad has now published a draft document outlining performance measures for the plan (this is positive). The 600K PDF document is well worth reading. Mr. Nerad's proposed performance measures rely on the oft criticized - for its lack of rigor - state exam, the WKCE. The Wisconsin Department of Public Instruction recently stated that "Schools should not rely on only WKCE data to gauge progress of individual students or to determine effectiveness of programs or curriculum".

A few highlights from the 600K PDF document:

• By 2014/2015 every Madison School District Student will be 100% proficient on the WKCE. "Flexible Instruction" is referenced for all students.
• The percentage of Madison School District high school students "participating in" advanced courses has declined over the past three years:

  Grade	2006/2007	2007/2008	2008/2009
  9	0.3%	0.4%	0.2%
  10	5.5%	7.3%	1.9%
  11	18.0%	18.1%	10.6%
  12	34.1%	34.3%	24.3%

  Related: WKCE Scores Document Decline in the Percentage of Madison's Advanced Students.
• The percentage of students scoring "C" or above for all courses will rise from 45 to 64% (6th to 12th grade; 2008/2009 school year) to all students (100%) in 2014-2015.

Related:

• Are MMSD Programs Effective, Who Knows?
• When all third graders read at grade level or beyond by the end of the year, the achievement gap will be closed...and not before.
• West High Math teachers on curriculum reduction.

Discussing these data is a step in the right direction. Unfortunately, use of the WKCE does not instill much confidence, from my perspective.

via "Some States Drop Testing Bar" by John Hechinger.

Happy Halloween!

Our Local Schools Should Be Showcases Not Basket Cases - GOOG Ups Its Schools Focus

Tom Foremski:

The promise of distance learning through the Internet has yet to be realized and I'm puzzled why this is the case since it should be possible to collaborate on creating a great online curriculum. Once it is created it can be easily accessed by anyone.

Why don't we use the social networking and collaborative tools we already have to put together an open-sourced curriculum consisting of text, images, videos, lectures, online volunteers acting as tutors, etc. We have all the technology we need to do all of this today.

I've always been amazed that San Francisco/Silicon Valley region public schools are so bad. We are inventing the future here, yet we can't use our ingenuity, our technologies to improve our local schools? Our public schools should be showcases, not basket cases, we should be ashamed to allow this to happen.

So it's good to see Google becoming more interested in schools because there is a lot it could do to help, especially in terms of projects like its Google Books. Maybe it could help to provide text books. It's incredible how expensive textbooks are.

For the past two days Google has hosted a conference on its campus: Breakthrough Learning in a Digital Age. The goal was to "create and act upon a breakthrough strategy for scaling up effective models of teaching and learning for children." It's not clear what breakthrough strategy has emerged but at least it's a start,

Number-Crushing: When Figures Get Personal

Carl Bialik:

Everyone can agree that 1+1=2. But the idea that 7 is greater than 13 -- that some numbers are luckier than others -- makes no sense to some people. Such numerical biases can cause deep divisions.

And that is what happened earlier this month in Hong Kong. Property developer Henderson Land Development Co. made news for selling a condominium for $56.6 million, a price the developer called a residential record in Asia. But after that sale was announced, the property began making news for other unusual numbers. Henderson is labeling the floors of its property at 39 Conduit Road with numbers that increase, but not in the conventional 1-then-2 way. The floor above 39, for example, is 60. And the top three floors are consecutively labeled 66, 68 and 88.

This offended some people's sense of order. At a protest Sunday against high housing prices, Hong Kong Democratic Party legislators expressed dissatisfaction with the numbering scheme's tenuous relationship to reality. "You could call the ground floor the 88th floor, but it's meaningless," says Emily Lau. "When you say you live on the 88th floor, people expect you to be on the 88th floor, not the 10th floor or something."

Why We're Failing Math and Science

Wall Street Journal:

The problem is well-known: The U.S. lags far behind other developed countries at the K-12 level in terms of measured performance in math and science courses.

What can be done to change that? The Wall Street Journal's Alan Murray posed that question to three experts: Joel Klein, chancellor of the New York City Department of Education; Amy Gutmann, president of the University of Pennsylvania; and Christopher Edley Jr., dean of the law school at the University of California at Berkeley, who was also a member of the Obama administration transition team working on education issues.

Here are edited excerpts of their discussion:
It's the Teachers

ALAN MURRAY: What will it take to get the American system up to the level of some of the other developed countries in terms of math and science education?

JOEL KLEIN: The most important thing is to bring to K-12 education college graduates who excel in math and science. Those countries that are doing best are recruiting their K-12 teachers from the top third of their college graduates. America is recruiting our teachers generally from the bottom third, and when you go into our high-needs communities, we're clearly underserving them.

MR. MURRAY: How do you explain that? It doesn't seem to be a function of money. We spend more than any of these other countries.

MR. KLEIN: We spend it irrationally. My favorite example is, I pay teachers, basically, based on length of service and a few courses that they take. And I can't by contract pay math and science teachers more than I would pay other teachers in the system, even though at different price points I could attract very different people. We've got to use the money we have much more wisely, attract talent, reward excellence.

The Financial-Crisis Lit Cheat Sheet

New York Magazine:

Too Big To Fail: The Inside Story of How Wall Street and Washington Fought to Save the Financial System from Crisis -- and Themselves, by Andrew Ross Sorkin

WHAT: A virtually minute-by-minute account of the scariest hours of the crisis, beginning in the aftermath of the seizures of Fannie Mae and Freddie Mac and concluding with TARP and the hastily assembled near-afterthought that was the $180 billion AIG bailout.

BEST BIT: On page 120 appears the first print mention of the rumored affair between Joe Gregory, the widely reviled chief operating officer of Lehman Brothers, and Erin Callan, the statuesque, blonde, wholly inexperienced tax attorney promoted to chief financial officer of the firm at the beginning of the year. According to the book, Callan separated from her husband "around the time" of the promotion, after which she and Gregory "became inseparable."

Students Aren't Learning Math. Can NCLB Help?

Seyward Darby:

New statistics show that U.S. students are struggling to learn basic math. The 2009 results of the National Assessment of Educational Progress (NAEP) in math, a test given every two years to fourth- and eighth-graders nationwide, were released this week. Although average overall scores have doubled since the NAEP was introduced in 1990, results have completely flat-lined among fourth-graders, and the achievement gap between white and black students isn't narrowing.

The New York Times notes that such trends could be linked to the enactment of No Child Left Behind (NCLB) in 2002:

For Decades, Puzzling People With Mathematics

John Tierney:

For today's mathematical puzzle, assume that in the year 1956 there was a children's magazine in New York named after a giant egg, Humpty Dumpty, who purportedly served as its chief editor.

Mr. Dumpty was assisted by a human editor named Martin Gardner, who prepared "activity features" and wrote a monthly short story about the adventures of the child egg, Humpty Dumpty Jr. Another duty of Mr. Gardner's was to write a monthly poem of moral advice from Humpty Sr. to Humpty Jr.

At that point, Mr. Gardner was 42 and had never taken a math course beyond high school. He had struggled with calculus and considered himself poor at solving basic mathematical puzzles, let alone creating them. But when the publisher of Scientific American asked him if there might be enough material for a monthly column on "recreational mathematics," a term that sounded even more oxymoronic in 1956 than it does today, Mr. Gardner took a gamble.

He quit his job with Humpty Dumpty.

A Moo-Moo Here, and Better Test Scores Later

Javier Hernandez:

But it soon became clear that this was a field "study"-- as the teachers called it -- not a field "trip," and the 75 Harlem kindergartners were going not only for a glimpse of rural life, but to rack up extra points on standardized tests.

"I want to get smarter," 5-year-old Brandon Neal said.

"I want to do better on homework and tests," added Julliana Jimenez, one of his classmates.

New York State's English and math exams include several questions each year about livestock, crops and the other staples of the rural experience that some educators say flummox city children, whose knowledge of nature might begin and end at Central Park. On the state English test this year, for instance, third graders were asked questions relating to chickens and eggs. In math, they had to count sheep and horses.

Our Struggling Public Schools "A Critical, but unspoken reason for the Great Recession"

Tom Friedman via a kind reader's email:

Last summer I attended a talk by Michelle Rhee, the dynamic chancellor of public schools in Washington. Just before the session began, a man came up, introduced himself as Todd Martin and whispered to me that what Rhee was about to speak about -- our struggling public schools -- was actually a critical, but unspoken, reason for the Great Recession.

There's something to that. While the subprime mortgage mess involved a huge ethical breakdown on Wall Street, it coincided with an education breakdown on Main Street -- precisely when technology and open borders were enabling so many more people to compete with Americans for middle-class jobs.

In our subprime era, we thought we could have the American dream -- a house and yard -- with nothing down. This version of the American dream was delivered not by improving education, productivity and savings, but by Wall Street alchemy and borrowed money from Asia.

A year ago, it all exploded. Now that we are picking up the pieces, we need to understand that it is not only our financial system that needs a reboot and an upgrade, but also our public school system. Otherwise, the jobless recovery won't be just a passing phase, but our future.

"Our education failure is the largest contributing factor to the decline of the American worker's global competitiveness, particularly at the middle and bottom ranges," argued Martin, a former global executive with PepsiCo and Kraft Europe and now an international investor. "This loss of competitiveness has weakened the American worker's production of wealth, precisely when technology brought global competition much closer to home. So over a decade, American workers have maintained their standard of living by borrowing and overconsuming vis-à-vis their real income. When the Great Recession wiped out all the credit and asset bubbles that made that overconsumption possible, it left too many American workers not only deeper in debt than ever, but out of a job and lacking the skills to compete globally."

Students give math a bit more thought

Michael Alison Chandler:

The teenagers in Stephanie Nichols's algebra class have nothing on her blank stare. And they can't even come close to her best confused expression: eyebrows furrowed, mouth frowning, a flash of ditziness framed by a blond bob.

"Sorry if I'm the slow kid," she said, slowly, during a lesson on slope. "I don't get it." As students calculated problems on the board, she interrupted, "I'm really lost. . . . How did you do that?" Occasionally, she was more blunt: "Huh?"

Nichols's vacant looks and incessant questions put the students at Arlington County's Washington-Lee High School in the uncomfortable position of being the math teacher, explaining how the numbers on the white board relate to each other, how algebra actually works.

Harvard admits to $1.8b gaffe in cash holdings

Beth Healy:

Harvard University, one of the world's richest educational institutions, stumbled into its financial crisis in part by breaking one of the most basic rules of corporate or family finance: Don't gamble with the money you need to pay the daily bills.

The university disclosed yesterday that it had lost $1.8 billion in cash - money it relies on for the school's everyday expenses - by investing it with its endowment fund, instead of keeping it in safe, bank-like accounts. The disclosure was made in the school's annual report for the fiscal year that ended June 30.

Typically, companies and big institutions manage their cash conservatively in order to have it readily available, by keeping the money in such low-risk investments as money-market mutual funds.

But Harvard placed a large portion of its cash with Harvard Management Co., the entity that runs the university's endowment and invests in stocks, hedge funds, and other risky assets. It has been widely reported that Harvard Management's endowment investments were battered in the market crash - down 27 percent in its last fiscal year. Not revealed until yesterday was that the school's basic cash portfolio had also been caught in the undertow.

Beware The Reverse Brain Drain To India And China

Vivek Wadhwa:

I spent Columbus Day in Sunnyvale, fittingly, meeting with a roomful of new arrivals. Well, relatively new. They were Indians living in Silicon Valley. The event was organized by the Think India Foundation, a think-tank that seeks to solve problems which Indians face. When introducing the topic of skilled immigration, the discussion moderator, Sand Hill Group founder M.R. Rangaswami asked the obvious question. How many planned to return to India? I was shocked to see more than three-quarters of the audience raise their hands.

Even Rangaswami was taken back. He lived in a different Silicon Valley, from a time when Indians flocked to the U.S. and rapidly populated the programming (and later executive) ranks of the top software companies in California. But the generational difference between older Indians who have made it in the Valley and the younger group in the room was striking. The present reality is this. Large numbers of the Valley's top young guns (and some older bulls, as well) are seeing opportunities in other countries and are returning home. It isn't just the Indians. Ask any VC who does business in China, and they'll tell you about the tens of thousands who have already returned to cities like Shanghai and Beijing. The VC's are following the talent. And this is bringing a new vitality to R&D in China and India.

Why would such talented people voluntarily leave Silicon Valley, a place that remains the hottest hotbed of technology innovation on Earth? Or to leave other promising locales such as New York City, Boston and the Research Triangle area of North Carolina? My team of researchers at Duke, Harvard and Berkeley polled 1203 returnees to India and China during the second half of 2008 to find answers to exactly this question. What we found should concern even the most boisterous Silicon Valley boosters.

California math scores among the lowest

Jill Tucker:

f not for the two southern states, California students would be at the bottom of the national heap in mathematics, according to the 2009 Nation's Report Card released Wednesday.

The abysmal standing, which reflects in part the state's diverse population, hasn't changed much over the years. California consistently has ranked among the lowest-scoring states in the biennial National Assessment of Educational Progress, a federally mandated assessment of a sampling of fourth- and eighth-graders across the country.

On the plus side, state students have made steady progress over the years, generally keeping pace with their national counterparts - albeit from the back of the pack.

California's fourth-graders outscored their peers in only the two southern states and the District of Columbia, and tied five states. Eighth-graders outscored only Mississippi and the District of Columbia, and tied four states.

Overall, California students performed at or below the national average regardless of income or ethnicity.

NAEP Math 2009: What it All Means

Kevin Carey:

The 2009 state NAEP math results were released today, and they're disappointing. Fourth grade scores, which have been a great and under-recognized success story over the last two decades, were flat. Eighth grade scores rose slightly. What to conclude? Most broadly, that most of the claims about national education policy, pro and con, have been overwrought.

Supporters of the No Child Left Behind Act-and I've generally been one of them-hoped that the law would catalyze a major upward move in student achievement. That hasn't happened. Perhaps it's because every state got to choose its own standards; perhaps it's because the law did little to get better teachers in classrooms; perhaps it's because yawning revenue disparities between and within states were largely unaddressed. Whatever was missing, something was missing, probably many things, and the next version of ESEA will need significant changes if we want to achieve more than just more of the same.

45% of Wisconsin Fourth Graders and 39% of Wisconsin Eighth Graders Proficient on the Latest "Nation's Report Card"

Amy Hetzner:

Fourth- and eighth-graders in Wisconsin have improved their scores on a national mathematics test since the early 1990s, but the gap between the performance of the state's white and black students has not gotten any better, according to test results released Wednesday.

The state's math results from the National Assessment of Educational Progress showed little change from the last time scores for those age groups were released two years ago. Fourth-graders in Wisconsin posted the same average score - 244 - that they had two years ago, although the percentage of students deemed proficient or higher in math slid to 45% from 47%. The average score for eighth-graders rose slightly to 288 on a 500-point scale, with the proficiency rate rising as well, to 39%.

"Wisconsin has made slow but steady gains in mathematics achievement for both overall achievement and for most subgroups of students," State Superintendent Tony Evers said in a news release about the results. "However, achievement gaps, in particular for African-American students in Wisconsin, are too large. We must do more."

The NAEP - also called the nation's report card - is given to samples of students to monitor progress on a statewide basis. In Wisconsin, questions from the math test were given to 3,830 fourth-graders and 3,474 eighth-graders from January to March this year. The test does not attempt to gauge performance by individual school districts.

New Tack on Math Promoted Problem-Solving Is Focus of High School Guide

Sean Cavanagh:

Three years after calling for a reordering of elementary and middle school math curricula, the nation's largest group of math teachers is urging a new approach to high school instruction, one that aims to build students' ability to choose and apply the most effective problem-solving techniques, in the classroom and in life.
Cultivating those skills will make math more useful, and more meaningful, to students, the National Council of Teachers of Mathematics argues in a document scheduled for release this week.

"Focus in High School Mathematics: Reasoning and Sense Making" is a follow-up to the NCTM's 2006 document, "Curriculum Focal Points," which offered grade-by-grade content standards in math for prekindergarten through 8th grade. "Focal Points" won general praise in math circles, even from some of the NCTM's strongest critics.

The high school document has both a different purpose and a different structure. It is not a suggested set of content standards, but rather a framework that attempts to show how skills that the NCTM considers essential--reasoning and sense-making--can be promoted across high school math.

More on Singapore Math & The Madison School District

Next week's Madison School Board agenda includes a number of pages [PDF] regarding the purchase of Singapore Math materials for elementary schools. Recent activity on this front included the purchase of workbooks without textbooks.

Latest issue of MMSD Today: Madison School District teachers experts in system of math instruction

Dawn Stiegert @ The Madison Metropolitan School District:

The national mathematics conference on Cognitively Guided Instruction (CGI) had a strong Madison School District presence, with teachers there as presenters and attendees.

MMSD teachers involved with the Expanding Math Knowledge grant had the opportunity to attend the conference this summer in San Diego. EMK was a two-year grant funded by the WI Dept. of Public Instruction. The MMSD Dept. of Teaching and Learning collaborated with the UW-Madison College of Education to provide continued and expanded math education for approximately 40 teachers in grades 3-5.

Innovative math program boosts scores at O.C. schools

Seema Mehta:

In the airy computer lab at Romero-Cruz Elementary School in Santa Ana, 11-year-old Davis Nguyen quickly completed math problems. Each correct answer let an animated penguin named JiJi take steps across a bridge. The computer game looked simple, but backers say it is part of an innovative and powerful new way to teach math, and standardized test results released Tuesday appear to back up their claims.

Across the state, schools saw a 4.5% increase in the number of elementary students scoring "proficient" or "advanced" in math. But 64 Orange County elementary schools that took part in a math program created by the nonprofit MIND Research Institute saw a nearly 13% increase in the number of students scoring in those top levels.

The achievement buoyed the schools' rating as well.

Math illiteracy

This site continues to mention math curricula challenges from time to time, and as long as I am around, and have community math experiences, it will continue to do so.

I try to visit Madison's wonderful Farmer's Market weekly. This past weekend, I purchased some fabulous raspberries from an older Hmong couple. Their raspberries are the best. Unfortunately, while I made my purchase, they asked how much change I was due, something I saw repeated with other buyers. They periodically have a younger person around to handle the transactions, or a calculator.

Purchasing tickets at high school sporting events presents yet another opportunity to evaluate high schooler's basic, but ESSENTIAL math skills. A Dane County teenager could not make change from $10 for three $2 tickets recently. I have experienced this at local retail establishments as well.

Unfortunately, the "Discovery" approach to math does not appear work....

Deja vu: Report of the 1965 Madison School District Math 9 Textbook Committee

1.7MB PDF by Robert D. Gilberts, Superintendent Madison School District, Ted Losby and the Math 9 Textbook Committee:

The mathematics committee of the junior high schools of Madison has been meeting regularly for four rears with one intention in mind -- to improve the mathematics program of the junior high school. After experimenting with three programs in the 7th grade, the Seeing Through Mathematics series, Books 1 and 2, were recommended for adoption and approved in May of 1963.

The committee continued its leadership role in implementing the new program and began evaluation of the 9th grade textbooks available. The committee recommended the adoption of Seeing Through Mathematics, Book 3, published by Scott, Foresman and Company, and Algebra: Its Element and Structure, Book 1, published by Webster Division, McGraw-Hill Book Company, and the Board of Education adopted them on May 3, 1965.

A number of objections to the Seeing Through Mathematics textbooks were made by various University of Wisconsin professors. Dr. R. C. Buck, chairman of the University of Wisconsin Mathematics Department strongly criticized the series. A public objection to the adoption was made at the Board of Education meeting by Dr. Richard Askey of the University Mathematics Department. Later, a formal petition of protest against the adoption of Seeing Through Mathematics, Book 3, was sent to committee members. [related: 2006 Open Letter from 35 UW-Madison Math Professors about the Madison School District's Math Coordinator position]

The sincerity of the eminently qualified professional mathematicians under Dr. Buck's chairmanship was recognized by both the administration and the committee as calling for reconsideration of the committee's decisions over the past three years relative to the choice of Seeing Through Mathematics 1, 2 and 3.

Conversely, the support of the Scott, Foresman and. Company mathematics program and its instruction philosophy, as evidenced by numerous adoptions throughout the country and the pilot studies carried out in the Madison Public Schoolsvindicated that equitable treatment of those holding diametric viewpoints should be given. It was decided that the interests of the students to be taught would be best served through a hearing of both sides before reconsideration.

A special meeting of the Junior High School. Mathematics committee was held on June 10, 1965.

Meeting 1. Presentations were made by Dr. R. C. Buck, Dr. Richard Askey, and Dr. Walter Rudin of the University of Wisconsin Mathematics Department, and Dr. J. B. Rosen, chairman-elect of the University of Wisconsin Computer Sciences Department.

The presentations emphasized the speakers' major criticism of the Seeing Through Mathematics series -- "that these books completely distort the ideas and spirit of modern mathematics, and do not give students a good preparation for future mathematics courses. Examples were used to show that from the speakers' points of view the emphasis in Seeing Through Mathematics is wrong. They indicated they felt the language overly pedantic, and the mathematics of the textbooks was described as pseudo-mathematics. However, it was pointed out that the choice of topics was good the content was acceptable (except for individual instances), and the treatment was consistent. A question and answer session tollowed the presentations.

..........

After careful consideration of all points of view, the committee unanimously recommended:

1. that the University of Wisconsin Mathematics and Education Departments be invited to participate with our Curriculum Department in developing end carrying out a program to evaluate the effectiveness of the Seeing Through Mathematics series and, if possible, other "modern" mathematics series in Madison and other school districts in Wisconsin;
2. that the committee reaffirm its decision to recommend the use of Seeing Through Mathematics, Book 3, and Algebra: Its Elements and structure, Book 1, in grade nine with Seeing Through Mathematics, Book 1 and 2 in grades seven and eight, and that the Department of Curriculum Developnent of the Madison Public Schools continue its study, its evaluation, and its revision of the mathematics curriculum; and
3. that en in-service program be requested for all junior high school mathematics teachers. (Details to follow in a later bulletin).

Related: The recent Madison School District Math Task Force.

Britannica on deja vu.

Significant Gender Gap on the PSAT Math Test

Mark Perry:

The table above (click to enlarge) is based on PSAT scores in 2008 for college-bound juniors for males and females taking the mathematics exam, showing the results for the five geographical regions of the U.S. For both males and females, the highest scores were in the Midwest states, similar to the findings for the SAT test results, reported yesterday on the NY Times Economix blog, "Why The Midwest Rules on the SAT."

The results also show a significant gender gap in favor of males for the mean math test scores in all five regions, with mean male test scores ranging from 3.2 points higher in the Midwest (52.2 for males vs. 49 for females)to a low of 2.5 points higher in the South (50 points for males vs. 47.5 for females). In all five regions, the standard deviation of male test scores was higher than the standard deviation of female test scores, confirming previous findings of greater variability in male intelligence/scores on standardized tests.

To Take or Not to Take AP and IB

Jay Matthews:

The Question:

Is it better for college admissions to take an IB or AP class and receive a C or D or take a standard class and receive an A or B? Our office is decidedly split on this matter. The majority of us feel that it is better to make the grade since GPA is the first cut often for college admissions. We usually advise our students that if they are going to take an IB or AP class they need to get an A or B in the class, and to take an IB or AP class in their strength area.

My Answer:

The high school educators and college admissions officers I know best have convinced me that EVERY student going to college should take at least one college-level course and exam in high school. AP, IB or Cambridge are the best in my view, although a dual enrollment course and test given by the staff of a local college is also good. Students need that taste of college trauma to be able to make a smooth transition their freshman year.
When you consider actual situations, the threat of a bad grade from taking AP or IB fades away. A student strong enough to have a chance of admission to a selective college, the only kind that pays close attention to relative GPAs of their applicants, will be strong enough a student to get a decent grade in an AP or IB class, and a decent score on the exam. If they do NOT get a good grade in the course or the exam, then they are, almost by definition, not strong enough to compete with other students trying to get into those selective colleges. Their SAT or ACT score will show that, even if they don't take AP or IB, and I suspect their overall GPA even without AP or IB will not be that great. If you know of a straight-A, 2100 SAT student who did poorly in an AP course, let me know, and I will revise my opinion. But I have never encountered such a student in 20 years of looking at these issues.

My summer at the Woodstock for technologists

Simon Daniel:

It's not every day you move an atom with a mouse click. But this is precisely what I do one day at the Singularity University, a new institution supported by Google and Nasa, which aims to educate a select group of entrepreneurs and scientists about the rapid pace of technology.

The class of 40 students - who are taking time out of their working lives - has settled into a busy routine. Our 12-hour days are crammed with experiments, visits to technology centres including IBM and Willow Garage, and discussion with experts. The purpose is to open our eyes to the pace of change and future possibilities.

On Wednesday we arrive at IBM Almaden research centre, a series of black glass buildings in the hills near San Jose. Unassuming office doors open to reveal scientists working away in a scene reminiscent of a sci-fi movie. We meet Kevin Roche, who is building complex machines that can deposit thin films of atoms to form nano-scale devices.

This is where, in 1989, the physicist Donald Eigler built a scanning tunnelling microscope and demonstrated the ability precisely to manipulate individual atoms by rearranging xenon atoms to spell out IBM. In homage, we use a similar machine and write SU (for Singularity University) by selecting iron atoms with a mouse and nudging them across the screen.

We open another door and witness magnetic "racetrack" memory experiments. This is the idea of storing data in magnetic field domains that can then slide or "race" along nano-wires so they can be read quickly. The idea may help our future portable devices to store hundreds of times more video.

Sam Savage And His War Against Averages - Creating A New Data Type For Risky Models

Tom Foremski:

using single numbers in spreadsheets used to model financial risk and instead use a "distribution" - a range of numbers. He says that by using a distribution or "dist" we would be able to not only produce better models of uncertainty but we would avoid fundamental mistakes in modeling financial and operational performance.

Mr Savage recently published a book "The Flaw of Averages - Why we underestimate risk in the face of uncertainty" which explains his evangelism for the use of dists within financial models of risk.

Currently, the most widely used method of predicting uncertainty is to use single numbers, usually representing a single average of expected outcomes.

However, models based on average assumptions are wrong on average. This is a paradox that has been known by mathematicians for nearly 100 years, called Jensen's Inequality. Although business schools teach Jensen's Inequality, business managers continue to use average numbers to try to model things like demand, production, and project completion time. And they are constantly surprised by real world outcomes that can be very costly.

Schools Boost Science, Math With Hands-On Teaching

Christy Goodman:

To answer the age-old question "When am I going to use this?," school systems in Calvert, Charles and St. Mary's counties are working to enrich their science, technology, engineering and mathematics programs by using hands-on teaching, guest speakers and real-world experiments and applications.

Charles is expanding its Gateway to Technology to all middle schools after a successful pilot program last year, school system spokeswoman Katie O'Malley-Simpson said. The program is part of the nationally recognized Project Lead the Way curriculum, which supports engineering and science.

"It focuses on showing, rather than telling, students how to use engineering in everyday problems," O'Malley-Simpson said. "They see that because they are applying their skills as they learn them."

US Students are Average on International Tests

US Department of Education:

Major findings include:

Reading
In PIRLS 2006, the average U.S. 4th-graders' reading literacy score (540) was above the PIRLS scale average of 500, but below that of 4th-graders in 10 of the 45 participating countries, including 3 Canadian provinces (Russian Federation, Hong Kong, Alberta, British Columbia, Singapore, Luxembourg, Ontario, Hungary, Italy, and Sweden).

Among the 28 countries that participated in both the 2001 and 2006 PIRLS assessments, the average reading literacy score increased in 8 countries and decreased in 6 countries. In the rest of these countries, including the United States, there was no measurable change in the average reading literacy score between 2001 and 2006. The number of these countries that outperformed the United States increased from 3 in 2001 to 7 in 2006.

Mathematics
The 2007 TIMSS results showed that U.S. students' average mathematics score was 529 for 4th-graders and 508 for 8th-graders. Both scores were above the TIMSS scale average, which is set at 500 for every administration of TIMSS at both grades, and both were higher than the respective U.S. score in 1995.

Fourth-graders in 8 of the 35 other countries that participated in 2007 (Hong Kong, Singapore, Chinese Taipei, Japan, Kazakhstan, Russian Federation, England, and Latvia) scored above their U.S. peers, on average; and 8th-graders in 5 of the 47 other countries that participated in 2007 (Chinese Taipei, Korea, Singapore, Hong Kong, and Japan) scored above their U.S. peers, on average.

Among the 16 countries that participated in both the first TIMSS in 1995 and the most recent TIMSS in 2007, at grade 4, the average mathematics score increased in 8 countries, including in the United States, and decreased in 4 countries. Among the 20 countries that participated in both the 1995 and 2007 TIMSS at grade 8, the average mathematics score increased in 6 countries, including in the United States, and decreased in 10 countries.

In PISA 2006, U.S. 15-year-old students' average mathematics literacy score of 474 was lower than the OECD average of 498, and placed U.S. 15-year-olds in the bottom quarter of participating OECD nations, a relative position unchanged from 2003.

Fifteen-year-old students in 23 of the 29 other participating OECD-member countries outperformed their U.S. peers.

There was no measurable change in U.S. 15-year-olds' average mathematics literacy score between 2003 and 2006, in its relationship to the OECD average, or in its relative position to the countries whose scores increased or decreased.
Science

The 2007 TIMSS results showed that U.S. students' average science score was 539 for 4th-graders and 520 for 8th-graders. Both scores were above the TIMSS scale average, which is set at 500 for every administration of TIMSS at both grades, but neither was measurably different than the respective U.S. score in 1995.

Fourth-graders in 4 of the 35 other countries that participated in 2007 (Singapore, Chinese Taipei, Hong Kong, and Japan) scored above their U.S. peers, on average; and 8th-graders in 9 of the 47 other countries that participated in 2007 (Singapore, Chinese Taipei, Japan, Korea, England, Hungary, the Czech Republic, Slovenia, and the Russian Federation) scored above their U.S. peers, on average.

While there was no measurable change in the average score of U.S. 4th-graders or 8th-graders in science between 1995 and 2007, among the other 15 countries that participated in the 1995 and 2007 TIMSS at grade 4, the average science score increased in 7 countries and decreased in 5 countries; and among the other 18 countries that participated in both the 1995 and 2007 TIMSS at grade 8, the average science score increased in 5 countries and decreased in 3 countries.

In PISA 2006, U.S. 15-year-old students' average science literacy score of 489 was lower than the OECD average of 500, and placed U.S. 15-year-olds in the bottom third of participating OECD nations. Fifteen-year-old students in 16 of the 29 other participating OECD-member countries outperformed their U.S. peers in terms of average scores.

Technical notes about the data sources, methodology, and standard errors are included at the end of this report.

Joanne has more.

Pilot math project involves SRI, USF and Helios Education Foundation

Tampa Bay Business Journal:

SunBay Digital Mathematics, a math education pilot project, began this week in Pinellas County.

The Helios Education Foundation and the Pinellas County School District are partnering with SRI International and the University of South Florida's College of Education in a project to set the direction for middle school mathematics, a release said.

The one-year project involves 15 seventh-grade teachers in seven Pinellas schools. They will attend workshops and monthly meetings focused on using technology-based curriculum based on advanced math concepts.

The Pinellas Education Foundation is the fiscal agent for funding the project.

Madison School District Elementary Math Curriculum Purchases

Superintendent Dan Nerad [64K PDF]:

MMSD has begun a three-year implementation plan to achieve an equitable and balanced mathematics program at tbe elementary level. The plan was developed and refined through collaboration with teachers, Instructional Resource Teachers and principals over the course of the past several years. The plan includes the materials described below (details via this 64K PDF),

With the attached order, MMSD has provided each classroom teacher in the District with a Learning Mathematics in the Primary/Intermediate Grades instructional guide and the set of teacher resources from the Investigations program. The third component of the teacher materials is Teaching Student Centered Mathematics by John Van de Walle, which is in place in most classrooms but will continue to be ordered using ELM or Title I funds, as necessary. Additional professional resources have been or are being purchased at the building level to create a library available for all staff to access as needed. Those resources include Primary Mathematics textbooks and teacher guides, Thinking Mathematically and Children's Mathematics by Thomas Carpenter, Teaching Number series from Wright, among other recommended titles.

MMSD has provided all Title I schools with the Primary Mathematics (Singapore) workbooks and Extra Practice workbooks for the 2009-2010 school year. All manipulatives have been ordered for Title I schools over tbe past two years and are in place. Non-Title I schools have been and will continue to use ELM funds to purchase tbe student components for the implementation of a balanced mathematics classroom.

Related:

• Singapore Math Workbook Only Purchase (No Textbooks)
• Math Task Force notes and links
• Math Forum

For Today's Graduate, Just One Word: Statistics

Steve Lohr:

At Harvard, Carrie Grimes majored in anthropology and archaeology and ventured to places like Honduras, where she studied Mayan settlement patterns by mapping where artifacts were found. But she was drawn to what she calls "all the computer and math stuff" that was part of the job.

"People think of field archaeology as Indiana Jones, but much of what you really do is data analysis," she said.

Now Ms. Grimes does a different kind of digging. She works at Google, where she uses statistical analysis of mounds of data to come up with ways to improve its search engine.

Ms. Grimes is an Internet-age statistician, one of many who are changing the image of the profession as a place for dronish number nerds. They are finding themselves increasingly in demand -- and even cool.

"I keep saying that the sexy job in the next 10 years will be statisticians," said Hal Varian, chief economist at Google. "And I'm not kidding."

Discovery learning in math: Exercises versus problems Part I

Barry Garelick, via email:

By way of introduction, I am neither mathematician nor mathematics teacher, but I majored in math and have used it throughout my career, especially in the last 17 years as an analyst for the U.S. Environmental Protection Agency. My love of and facility with math is due to good teaching and good textbooks. The teachers I had in primary and secondary school provided explicit instruction and answered students' questions; they also posed challenging problems that required us to apply what we had learned. The textbooks I used also contained explanations of the material with examples that showed every step of the problem solving process.

I fully expected the same for my daughter, but after seeing what passed for mathematics in her elementary school, I became increasingly distressed over how math is currently taught in many schools.

Optimistically believing that I could make a difference in at least a few students' lives, I decided to teach math when I retire. I enrolled in education school about two years ago, and have only a 15-week student teaching requirement to go. Although I had a fairly good idea of what I was in for with respect to educational theories, I was still dismayed at what I found in my mathematics education courses.

In class after class, I have heard that when students discover material for themselves, they supposedly learn it more deeply than when it is taught directly. Similarly, I have heard that although direct instruction is effective in helping students learn and use algorithms, it is allegedly ineffective in helping students develop mathematical thinking. Throughout these courses, a general belief has prevailed that answering students' questions and providing explicit instruction are "handing it to the student" and preventing them from "constructing their own knowledge"--to use the appropriate terminology. Overall, however, I have found that there is general confusion about what "discovery learning" actually means. I hope to make clear in this article what it means, and to identify effective and ineffective methods to foster learning through discovery.

Garelick's part ii on Discovery learning can be found here.

Related: The Madison School District purchases Singapore Math workbooks with no textbooks or teacher guides. Much more on math here.

Bill Gates: Tough US immigration stance a 'huge mistake'; Seeks More exceptions for 'smart people'

Austin Modine:

Bill Gates called US immigration restrictions a "huge mistake" while on tour of India today, urging America to open its golden doors for more "smart people."

The Microsoft billionaire spoke out on US immigration at a software CEO forum Monday in New Deli while visiting the country to receive the Indira Gandhi Prize for Peace, Disarmament, and Development.

"I have been speaking about some of the immigration restrictions that the US has got involved in, and they are terrible for the US and also terrible for the world," India's national newspaper The Hindu quotes Gates saying. "The US Congress is very tough on immigration, in general. And my position has been, well, that is unfortunate, but what about making an exception for smart people, people with engineering degrees and letting such people come in."

Adding that Microsoft has always been against tougher immigration laws, Gates said stricter US policy would be a "huge mistake."

At Foothill, a college-level program for middle school students lagging in math

Jessie Mangaliman:

Maria Mendoza is hunkered over her math workbook, diligently copying a work sheet, "Adding 3 & 4 Digit Numbers." She had copied it once already, and completed the problems. But there were two minor errors and the math teacher, Agnes Kaiser, had returned it to be done over.
Mendoza, 13, happily complied.

"Now I get it," she said, satisfied.

Maria, who will be in eighth grade this fall at Graham Middle School, was one of 81 students from Mountain View in the four-week summer math program that ended Friday at Foothill College in Los Altos.

This is no ordinary summer math camp for students behind many grades in their learning of math. The curriculum used to teach Maria and other students is Math My Way, the program the college has been using successfully for years to teach intensive, remedial math to incoming community college students with elementary-level math skills. The camp was funded with a $77,000 grant from the Silicon Valley Community Foundation, part of an initiative to close the education achievement gap, a learning disparity among different racial groups.

Wash. Board of Education revises math requirement

AP:

The State Board of Education has made a minor revision in the high school math credit requirements.

During a meeting in Gig Harbor on Friday, the board gave students more flexibility in their choices for high school math.

The board decided earlier that beginning with the class of 2013, high school students will be required to earn three credits of math to earn a diploma.

When the requirement was changed, the state rule said students who took a high school level math class without credit as an eighth grader were required to repeat that same course for credit in high school.

Education reform in Massachusetts A chance for charters

The Economist:

Independent public schools may be getting a chance in the Bay State

MASSACHUSETTS ranks at or near the top of national measures of how well schoolchildren do at reading and mathematics. A leader in early-years education, it is also applauded for its vocational, technical and agriculture schools. Still, there are problems. The disparity between students in affluent districts and those in low-income urban ones is shocking. In the Concord/Carlisle school district, for instance, 92% of students graduated from high-school on time and planned to attend a four-year college or university in 2007, compared with just 12.8% in Holyoke, one of the poorest cities in the state.

Many states have turned to charter schools (self-governing publicly-funded schools) to close achievement gaps like that, but charters are a tricky subject in Massachusetts even though the few they do have, such as Boston Collegiate, are among the best in the country. Unions abhor them while the school boards that run most public schools fear losing power and funding. Politicians have been unwilling to take on Massachusetts's mighty unions.

Last year Deval Patrick, the self-styled "education governor" of the state, unveiled a 55-point plan to overhaul the state's education system. The governor's package includes the introduction of three types of "readiness schools" to turn around poorly performing districts. Like charters, they will have greater flexibility, autonomy and will be held accountable for their results. But they will not be fully independent, remaining under the control of local school boards. Mr Patrick will introduce a bill authorising these schools later this month. One sort would have an external partner, such as a university, while another would be teacher-led.

A failing grade for Maryland math

Liz Bowie:

Maryland's public schools are teaching mathematics in such a way that many graduates cannot be placed in entry-level college math classes because they do not have a grasp of the basics, according to education experts and professors.

College math professors say there is a gap between what is taught in the state's high schools and what is needed in college. Many schools have de-emphasized drilling students in basic math, such as multiplication and division, they say.

"We have hordes of students who come in and have forgotten their basic arithmetic," said Donna McKusick, dean for developmental education at the Community College of Baltimore County. College professors say students are taught too early to rely on calculators. "You say, 'What is seven times seven?' and they don't know," McKusick said.

Ninety-eight percent of Baltimore students signing up for classes at Baltimore City Community College had to pay for remedial classes to learn the material that should have been covered in high school. Across Maryland, 49 percent of the state's high school graduates take remedial classes in college before they can take classes for credit.

Your e-mail has emerged as a winner of £500,000.00 GBP (Five hundred thousand British Pounds) in our on-going Google Promotion

Library of Congress Vatican Exhibit:

Classical Roots of the Scientific Revolution.

For over a thousand years--from the fifth century B.C. to the fifth century A.D.--Greek mathematicians maintained a splendid tradition of work in the exact sciences: mathematics, astronomy, and related fields. Though the early synthesis of Euclid and some of the supremely brilliant works of Archimedes were known in the medieval west, this tradition really survived elsewhere. In Byzantium, the capital of the Greek-speaking Eastern empire, the original Greek texts were copied and preserved. In the Islamic world, in locales that ranged from Spain to Persia, the texts were studied in Arabic translations and fundamental new work was done. The Vatican Library has one of the richest collections in the world of the products of this tradition, in all its languages and forms. Both the manuscripts that the Vatican collected and the work done on them in Rome proved vital to the recovery of ancient science--which, in turn, laid the foundation for the Scientific Revolution of the 16th and 17th centuries. In the Roman Renaissance, science and humanistic scholarship were not only not enemies; they were natural allies.

Why America is flunking science

Chris Mooney and Sheril Kirshenbaum:

In the recent Tom Hanks/Ron Howard film "Angels & Demons," science sets the stage for destruction and chaos. A canister of antimatter has been stolen from CERN -- the European Organization for Nuclear Research -- and hidden in the Vatican, set to explode right as a new pope is about to be selected.

Striving to make these details as realistic as possible on screen, Howard and his film crew visited CERN, used one of its physicists as a science consultant, and devoted meticulous care to designing the antimatter canister that Hanks' character, Robert Langdon, and his sexy scientist colleague, Vittoria Vetra (Ayelet Zurer), wind up searching for.

But there was nothing they could do about the gigantic impossibility at the center of the plot. While the high-energy proton collisions generated at CERN do occasionally produce minute quantities of antimatter -- particles with the opposite electrical charge as protons and electrons, but the same mass, which can in turn be combined into atoms like antihydrogen -- it's not remotely enough to power a bomb. As CERN quips on a Web site devoted to "Angels & Demons," antimatter "would be very dangerous if we could make a few grams of it, but this would take us billions of years."

Maths dunces who don't make the cut: Haberdashers have to reject nine out of ten applicants because they can't add up

Andrew Levy:

When the Bamberger family opened a haberdashery 65 years ago, they insisted their staff use mental arithmetic to price up customers' purchases.

Despite the arrival of calculators, that attitude has remained unchanged over the intervening years.

But now the family finds itself facing an unexpected maths problem - most youngsters it would like to employ are incapable of working out sums in their heads.

Mathematics Learning in Early Childhood: Paths Toward Excellence and Equity

Christopher T. Cross, Taniesha A. Woods, and Heidi Schweingruber, Editors; Committee on Early Childhood Mathematics; National Research Council:

arly childhood mathematics is vitally important for young children's present and future educational success. Research has demonstrated that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success.

Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Indiana providing teaching fellowships in Science, Technology, Engineering & Mathematics (STEM)

The Woodrow Wilson National Fellowship Foundation:

The Woodrow Wilson Indiana Teaching Fellowship seeks to attract talented, committed individuals with backgrounds in the STEM fields--science, technology, engineering, and mathematics--into teaching in high-need Indiana high schools. Learn more...

Funded through a $10 million grant from the Lilly Endowment, the Fellowship offers rigorous disciplinary and pedagogical preparation, extensive clinical experience, and ongoing mentoring. Eligible applicants include current undergraduates, recent college graduates, midcareer professionals, and retirees who have majored in, or had careers in, STEM fields.

When will the MMSD and the State of WI follow suit?

Related:

• Action Needed, Please Sign on.... Math Teacher Hiring in the Madison School District
• An Email to Madison Superintendent Dan Nerad on Math Teacher Hiring Criteria
• Wisconsin bill to boost math and science teachers risky for students

How I Spent My Summer: Hacking Into iPhones With Friends

Yukari Iwatani Kane:

Like many teenagers, Ari Weinstein spends his summers riding his bike and swimming. This year, the 15-year-old had another item on his to-do list: Foil Apple Inc.'s brightest engineers and annoy chief executive Steve Jobs.

Ari is part of a loose-knit group of hackers that has made it a mission to "jailbreak" Apple's iPhone and iPod touch. The term refers to installing unapproved software that lets people download a range of programs, including those not sanctioned by Apple.

Since Apple began selling its latest iPhone 3GS on June 19, Ari and six online cohorts spent hours a day probing the new product for security holes. This weekend, one of the member of the group, dubbed the Chronic Dev Team, released the jailbreaking software they've been working on. Ari says the program is a test version with some bugs, but that users have successfully downloaded it. A quarter-million people have visited the site, he says.

"Coding and testing things that may or may not work, and figuring things out, is a really rewarding experience," says Ari, a Philadelphia resident who began hacking when he was 11.

Wisconsin's New K-12 Academic Standards

Alan Borsuk:

Wisconsin education officials are aiming to move into the national mainstream by setting firmer standards for what children should learn in school and finding better ways to measure achievement.

A new report from the American Diploma Project praises Wisconsin's proposed new set of standards for high school English and math. The report is the latest of several indications that changes are being made when it comes to student expectations - and that others are noticing.

Wisconsin built a reputation in recent years for having loosely written state standards. The state was viewed as setting the bar about as low as anywhere in the country in determining if students were proficient, and taking too rosy an approach to deciding whether schools were getting adequate results.

Several national groups, some of them with conservative orientations but others harder to peg politically, criticized the state for its softness.

The report from the Diploma Project, issued last week, says that in revising its statement of what students are expected to learn in English and math, "Wisconsin has taken an important step to better prepare young people for success in post-secondary education and in their careers."

Much more on the WKCE here.

Like Her Subject, Math Teacher's Dedication and Conviction Were Absolute

Lauren Wiseman:

Doris Broome DeBoe, who became one of the District's leading math teachers, said she was drawn to the subject because it was absolute. Where other subjects were subjective, she said, math was exact.

"Once you understand what you are doing, there is no deviation," she said.

As a teacher, she believed in endless math drills, nightly homework and practice. She described herself not as a harsh instructor but as one who thought algebra is "a skill like ball playing and piano playing. Once you learn the basics, practice is necessary to ensure mastery."

She said every child had the potential to do well in class. "My best dog is the underdog," she told her students.

Her conviction motivated many students. Michael Bell, a student at Bertie Backus Middle School in the mid-1970s, said Mrs. DeBoe was the inspiration for creating his math preparation company, Acaletics, which helps develop curriculums and training programs within the Florida public school system. His company follows the same basic formula as Mrs. DeBoe's teaching: Practice makes perfect.

A Bank Run Teaches the 'Plain People' About the Risks of Modernity

Douglas Belkin:

Dan Bontrager is a 54-year-old Amish man with flecks of gray in his long beard. He's also treasurer of the Tri-County Land Trust, an Amish lending cooperative created to support the Amish maxim that community enhances faith in God.

This past spring, Mr. Bontrager was startled when a number of men he has known most of his life tied their horses to the hitching post outside his office and came inside to withdraw their money from the Land Trust.

"We had a run," Mr. Bontrager says. "I don't know if you know anything about the Amish grapevine, but word travels fast. Somebody assumed it was going to happen, and it started a panic."

Is Wisconsin state-of-the-art for K-12 science and math education?

Anneliese Dickman:

The Public Policy Forum's latest report, released today, finds that of the 10 career clusters predicted to grow the most over the next five years, seven include occupations requiring strong backgrounds in science, math, technology, or engineering (STEM). Of the 10 specific jobs predicted to be the fastest growing in the state, eight require STEM skills or knowledge and six require a post-secondary degree.

Do Wisconsin's state educational policies reflect this growing need for STEM-savvy and skilled workers? Are Wisconsin education officials focusing on STEM in a coherent and coordinated way? Our new report probes those issues by examining state workforce development data and reviewing state-level policies and standards that impact STEM education.

We present several policy options that could be considered to build on localized STEM initiatives and establish a greater statewide imperative to prioritize STEM activities in coordination with workforce needs. Those include:

Amy Hetzner has more.

A Formula for Changing Math Education

Someone always asks the math teacher, "Am I going to use calculus in real life?" And for most of us, says Arthur Benjamin, the answer is no. He offers a bold proposal on how to make math education relevant in the digital age.

If you want to get someone to do something, ask them in their right ear, say scientists

BBC:

Italian researchers found people were better at processing information when requests were made on that side in three separate tests.

They believe this is because the left side of the brain, which is known to be better at processing requests, deals with information from the right ear.

The findings are reported online in the journal Naturwissenschaften.

American IT grads unprepared and unemployable: Indian CEO Vineet Nayar

Richi Jennings:

Vineet Nayar is reported to have called Americans graduates "unemployable"; the CEO of IT services vendor HCL Technologies was speaking recently in New York. In IT Blogwatch, bloggers debate racism, stereotyping, sweatshops, and H1B visas.

By Richi Jennings, your humble blogwatcher, who has selected these bloggy tidbits for your enjoyment. Not to mention the best gaming toilets...

Rob Preston reports inflammatory comments with dignity:

via Lou Minatti.

Gender gap in maths driven by social factors, not biological differences

Ed Yong:

History has had no shortage of outstanding female mathematicians, from Hypatia of Alexandria to Ada Lovelace, and yet no woman has ever won the Fields medal - the Nobel prize of the maths world. The fact that men outnumber women in the highest echelons of mathematics (as in science, technology and engineering) has always been controversial, particularly for the persistent notion that this disparity is down to an innate biological advantage.

AdaLovelace.jpgNow, two professors from the University of Wisconsin - Janet Hyde and Janet Mertz - have reviewed the strong evidence that at least in maths, the gender gap is down to social and cultural factors that can help or hinder women from pursuing the skills needed to master mathematics.

The duo of Janets have published a review that tackles the issue from three different angles. They considered the presence of outstanding female mathematicians. Looking beyond individuals, they found that gender differences in maths performance don't really exist in the general population, with girls now performing as well as boys in standardised tests. Among the mathematically talented, a gender gap is more apparent but it is closing fast in many countries and non-existent in others. And tellingly, the size of the gap strongly depends on how equally the two sexes are treated.

Girls vs. Boys at Math

Joyce Gramza:

Are men naturally better at math than women or is that just an out-dated stereotype? When former Harvard president Larry Summers said publicly in 2005 that men are innately better at math, many women were outraged. So a couple of women scientists decided to research it. This ScienCentral News video explains their report published this week.

Larry Summers Vindicated? Global Study Shows Greater Male Variability in Math, Reading Scores

Mark Perry:

The tables above show selected statistics from the paper Global Sex Differences in Test Score Variability (see summary here), published by two economists, one from the London School of Economics and the other from the Helsinki School of Economics. Analyzing standardized test scores in reading and mathematics from the OECD's "Program for International Student Assessment" (PISA), a survey of 15-year olds in 41 industrialized countries, the authors found that:

Our analysis of international test score data shows a higher variance in boys' than girls' results on mathematics and reading tests in most OECD countries. Higher variability among boys is a salient feature of reading and mathematics test performance across the world. In almost all comparisons, the age 15 boy-girl variance difference in test scores is present. This difference in variance is higher in countries that have higher levels of test score performance.

Connecticut District Retools High School Math Instruction

Jessica Calefati:

Mathematics teachers in one coastal Connecticut school district were frustrated with students' inability to retain what they learned in Algebra I and apply it to Algebra II, so they decided to approach high school mathematics instruction in a new way. The teachers shrank the number of topics covered in each course by about half and published their custom-made curriculum online last fall, the New York Times reports.

The new curriculum's lessons were written by Westport, Conn., teachers and sent to HeyMath! of India, a company that adds graphics, animation, and sound to the lessons before posting them on the Web. But teachers say the new curriculum is as much about bringing classroom instruction into the digital age as it is about having the opportunity to teach students fewer concepts in greater depth.

Westport's decision to rewrite its math curriculum is part of a growing trend to re-evaluate "mile-wide, inch-deep" instruction. In 2006, the National Council of Teachers of Mathematics pushed for more basic math skills instruction, and two years later a federal panel of investigators appointed by then President George W. Bush also urged schools to whittle down their elementary and middle school math curricula.

Wisconsin Math Standards

From a recent post on the Madison United for Academic Excellence (MUAE) listserve:

There is an effort under way to rewrite the Wisconsin math state standards. Comments from the public are invited until this coming Monday (June 15).

Some math professors at UW-Madison believe the draft could use some improvement and encourage folks to review the standards and submit comments via a survey all of which can found at: http://dpi.wi.gov/cal/standards-revisions.html

Another website with standards that can be used for comparison is: http://www.achieve.org/node/479 Achieve is one of the organizations that are involved in drafting the
national standards-to-be. The governor has agreed to enroll in the group of States that will align the standards of the state with the national standards the Obama administration is pushing for.

Report From China: "Novels are not taught in class, and teachers encourage outside reading of histories rather than fiction."

Annie Osborn in the Boston Globe:

Teen's lessons from China. I am a product of an American private elementary school and public high school, and I am accustomed to classrooms so boisterous that it can be considered an accomplishment for a teacher to make it through a 45-minute class period without handing out a misdemeanor mark. It's no wonder that the atmosphere at Yanqing No. 1 Middle School ("middle school" is the translation of the Chinese term for high school), for students in grades 10-12, seems stifling to me. Discipline problems are virtually nonexistent, and punishments like lowered test scores are better deterrents for rule breaking than detentions you can sleep through.

But what does surprise me is that, despite the barely controlled chaos that simmers just below the surface during my classes at Boston Latin School, I feel as though I have learned much, much more under the tutelage of Latin's teachers than I ever could at a place like Yanqing Middle School, which is located in a suburb of Beijing called Yanqing.

Students spend their days memorizing and doing individual, silent written drills or oral drills in total unison. Their entire education is geared toward memorizing every single bit of information that could possibly materialize on, first, their high school entrance exams, and next, their college entrance exams. This makes sense, because admission to public high schools and universities in China is based entirely on test scores (although very occasionally a rich family can buy an admission spot for their child), and competition in the world's most populous country to go to the top schools makes the American East Coast's Harvard-or-die mentality look puny.

Chinese students, especially those in large cities or prosperous suburbs and counties and even some in impoverished rural areas, have a more rigorous curriculum than any American student, whether at Charlestown High, Boston Latin, or Exeter. These students work under pressure greater than the vast majority of US students could imagine.

And yet, to an American student used to the freedom of debate during history or English class, to free discussion of possible methods for solving different math problems, the work seems hollow and too directed. The average class size is about 45 students (compared with the limit of 28 in Boston that is exceeded by three or four students at most), which severely limits the amount of attention a teacher can give a student.

It isn't that the curriculum is blatant propaganda, or that the answer to every math problem is Mao Zedong. It's more that there is very little room to maneuver: There is one good way to solve a math problem, or one way to program a computer, or one good way to do homework. Every class has the same homework, a worksheet printed on wafer paper, and essays are rare.• Novels are not taught in class, and teachers encourage outside reading of histories rather than fiction. The only fiction texts read in class are excerpts from the four classics (Imperial texts that are not considered novels) and Imperial poetry. The point of class is to cram as much information into the students in as little time as possible, all in preparation for entrance exams.

Students lack the opportunity to discuss and digest what they learn. Most rarely participate in political discussions outside class. During a weekend dinner at a classmate's house, I brought up the issue of Tibet and heard my classmate's father complain first about how Tibet wanted independence and second about how his daughter didn't know anything about it. The recent Tiananmen anniversary was a nonissue; the students say they are too busy with work to talk much about politics. Chinese high school students therefore have little practice in the decision-making and circumspection that Americans consider an integral part of education.

Chinese schools have many strengths, but they do not foster many broadly philosophical thinkers.

Annie Osborn is a Boston Latin School student. She recently completed her junior year at School Year Abroad in Beijing.

© Copyright 2009 Globe Newspaper Company.

• [Boston Latin School no longer assigns "traditional" history research papers, they told me...in any case, they have never sent me any...Will Fitzhugh, The Concord Review]

Math & Science: China dominates NSA-backed coding contest

Patrick Thibodeau:

Programmers from China and Russia have dominated an international competition on everything from writing algorithms to designing components.

Whether the outcome of this competition is another sign that math and science education in the U.S. needs improvement may spur debate. But the fact remains: Of 70 finalists, 20 were from China, 10 from Russia and two from the U.S.

TopCoder Inc., which runs software competitions as part of its software development service, operates TopCoder Open, an annual contest.

About 4,200 people participated in the U.S. National Security Agency-supported challenge. The NSA has been sponsoring the program for a number of years because of its interest in hiring people with advanced skills.

Participants in the contest, which was open to anyone -- from student to professional -- and finished with 120 competitors from around the world, went through a process of elimination that finished this month in Las Vegas.

China's showing in the finals was also helped by the sheer volume of its numbers, 894. India followed at 705, but none of its programmers were finalists. Russia had 380 participants; the United States, 234; Poland, 214; Egypt, 145; and Ukraine, 128, among others.

Alternative Teacher Certification Works

UW-Madison professors Peter Hewson and Eric Knuth took up a valid cause in their May 15 guest column when they voiced concerns about having under-prepared teachers in Wisconsin classrooms.

But they're off base in implying that alternative certification programs such as the American Board for Certification of Teacher Excellence, proposed in SB 175, will mean more students won't have effective teachers.

Research has shown otherwise.

A recent study in "Education Next" showed states with genuine alternative certification programs see higher test scores and more minority teachers. A Brookings Institute study from 2006 showed that teachers who have come through colleges of education are no more effective than teachers who come through an alternative certification program or no certification program at all.

In addition, ABCTE's rigorous teacher preparation program includes nearly 200 hours of workshops on topics such as pedagogy and classroom assessment. Our exams are difficult, with only 40 percent of candidates passing on the first try. As a result, our teacher retention rate is 85 percent after three years, compared to less than 65 percent for traditional certification routes.

I understand Hewson and Knuth's motivation for suggesting that an alternative to traditional certification may not produce great teachers. That philosophy is good for their employer, but not -- as research has shown -- any better for students.

/-- David Saba, president, ABCTE, Washington, D.C./

A Mathematician's Lament

Sara Bennett:

One of the most eye-opening pieces of writing I've ever read is A Mathematician's Lament" How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form by Paul Lockhart. I've known Paul since our sons met when they were about eight years old, and I was so happy to hear that his essay (called a "gorgeous essay" by the Los Angeles Times) was printed in paperback form. This book belongs on everyone's bookshelf.

Here's how it begins:

A musician wakes from a terrible nightmare. In his dream he finds himself in a society where music education has been made mandatory. "We are helping our students become more competitive in an increasingly sound-filled world." Educators, school systems, and the state are put in charge of this vital project. Studies are commissioned, committees are formed, and decisions are made--all without the advice or participation of a single working musician or composer.

Since musicians are known to set down their ideas in the form of sheet music, these curious black dots and lines must constitute the "language of music." It is imperative that students become fluent in this language if they are to attain any degree of musical competence; indeed, it would be ludicrous to expect a child to sing a song or play an instrument without having a thorough grounding in music notation and theory. Playing and listening to music, let alone composing an original piece, are considered very advanced topics and are generally put off until college, and more often graduate school.

An Email to Madison Superintendent Dan Nerad on Math Teacher Hiring Criteria

Thanks much for taking the time from your busy schedule to respond to our letter below.  I am delighted to note your serious interest in the topic of how to obtain middle school teachers who are highly qualified to teach mathematics to the MMSD's students so that all might succeed.  We are all in agreement with the District's laudable goal of having all students complete algebra I/geometry or integrated algebra I/geometry by the end of 10th grade.  One essential component necessary for achieving this goal is having teachers who are highly competent to teach 6th- through 8th-grade mathematics to our students so they will be well prepared for high school-level mathematics when they arrive in high school.

The primary point on which we seem to disagree is how best to obtain such highly qualified middle school math teachers.  It is my strong belief that the MMSD will never succeed in fully staffing all of our middle schools with excellent math teachers, especially in a timely manner, if the primary mechanism for doing so is to provide additional, voluntary math ed opportunities to the District's K-8 generalists who are currently teaching mathematics in our middle schools.  The District currently has a small number of math-certified middle school teachers.  It undoubtedly has some additional K-8 generalists who already are or could readily become terrific middle school math teachers with a couple of hundred hours of additional math ed training.  However, I sincerely doubt we could ever train dozens of additional K-8 generalists to the level of content knowledge necessary to be outstanding middle school math teachers so that ALL of our middle school students could be taught mathematics by such teachers.

Part of our disagreement centers around differing views regarding the math content knowledge one needs to be a highly-qualified middle school math teacher.  As a scientist married to a mathematician, I don't believe that taking a couple of math ed courses on how to teach the content of middle school mathematics provides sufficient knowledge of mathematics to be a truly effective teacher of the subject.  Our middle school foreign language teachers didn't simply take a couple of ed courses in how to teach their subject at the middle school level; rather, most of them also MAJORED or, at least, minored in the subject in college.  Why aren't we requiring the same breathe and depth of content knowledge for our middle school mathematics teachers?  Do you really believe mastery of the middle school mathematics curriculum and how to teach it is sufficient content knowledge for teachers teaching math?  What happens when students ask questions that aren't answered in the teachers' manual?  What happens when students desire to know how the material they are studying relates to higher-level mathematics and other subjects such as science and engineering?

The MMSD has been waiting a long time already to have math-qualified teachers teaching mathematics in our middle schools.   Many countries around the world whose students outperform US students in mathematics only hire teachers who majored in the  subject to teach it.  Other school districts in the US are taking advantage of the current recession with high unemployment to hire and train people who know and love mathematics, but don't yet know how to teach it to others.  For example, see
http://www.reuters.com/article/domesticNews/idUSTRE54L2W120090522

If Madison continues to wait, we will miss out on this opportunity and yet another generation of middle schoolers will be struggling to success in high school.

The MMSD has a long history of taking many, many year to resolve most issues.  For example, the issue of students receiving high school credit for non-MMSD courses has been waiting 8 years and counting!  It has taken multiple years for the District's math task force to be formed, meet, write its report, and have its recommendations discussed.  For the sake of the District's students, we need many more math-qualified middle school teachers NOW.  Please act ASAP, giving serious consideration to our proposal below.  Thanks.

Superintendent Dan Nerad's Response to "Action Needed, Please Sign on.... Math Teacher Hiring in the Madison School District"

Madison School District Superintendent Dan Nerad via email:

Dr. Mertz-

Thank you for sharing your thoughts regarding this critical issue in our middle schools. We will continue to follow the conversation and legislative process regarding hiring Teach for America and Math for America candidates. We have similar concerns to those laid out by UW Professors Hewson and Knuth (http://www.madison.com/wsj/home/forum/451220). In particular they stated, "Although subject-matter knowledge is essential to good teaching, the knowledge required for teaching is significantly different from that used by math and science professionals." This may mean that this will not be a cost effective or efficient solution to a more complex problem than many believe it to be. These candidates very well may need the same professional learning opportunities that we are working with the UW to create for our current staff. The leading researchers on this topic are Ball, Bass and Hill from the University of Michigan. More information on their work can be found at (http://sitemaker.umich.edu/lmt/home). We are committed to improving the experience our students have in our mathematics class and will strive to hire the most qualified teachers and continue to strengthen our existing staff.

Dan Nerad

MathTime: Hinsdale kids design math app for iPhone

Mick Swasko:

You might think of flash cards and work sheets when you think of grade-school math. But now, thanks to two young brothers from Hinsdale, there's an app for that.

Eleven-year-old Owen Voorhees' iPhone application, MathTime, debuted in the iTunes App Store last week. The simple program, which displays random addition, subtraction, multiplication or division problems and their solutions, has been a work in progress for nearly nine months.

"I hope it helps people practice their facts," Owen said, explaining that the application is intended for students a bit younger than himself, such as brother Finn, 9.

A Look At Maryland's High School Assessment Test

Nelson Hernandez:

When Maryland's high school class of 2009 graduates next month, it will become the first in the state to prove it can solve an equation such as 12x + 84 =252. (Answer: 14.)

But state officials still don't know the value of another variable: the number of students who won't pass exams in algebra, English, biology and government for a new graduation requirement. As of March, about 4,000 of 58,000 seniors statewide hadn't passed the High School Assessments or met an alternative academic standard. This is the first year that seniors have been required to meet the testing standard.

State and local officials predict that graduation rates will remain roughly the same and that only a handful of seniors will be denied a diploma based on the HSA requirement.

Hiring Math Teachers...... Former Bear Stearns Trader is Now Teaching High School Math on Long Island, NY

Peter Robison pens an interesting look at the current opportunity to hire teachers with a strong math background, advocated locally by Janet Mertz & Gabi Meyer:

After Irace got his termination papers in June from JPMorgan Chase, he called "Brother K."

Brother Kenneth Hoagland, the principal at Kellenberg, a private Catholic institution, taught Irace at Chaminade High School in Mineola, New York.

Hoagland called Irace in for an interview in August, when he needed a replacement for a math instructor on leave. A month later, the former trader was teaching quadratic equations and factoring to freshmen in five 40-minute periods of algebra a day. He enrolled in refresher math classes at Nassau Community College, sometimes learning subjects a day or two ahead of the kids. This semester, he's teaching sixth-graders measurements and percentages.

Conditioning Drills

Seated at wooden desks, 21 to 39 in each class, they get excited when he flashes the animated math adventures of a robot named Moby onto a classroom projector. After school, Irace, now 198 pounds (90 kilograms), puts a whistle on a yellow cord around his neck and runs girls through conditioning drills as an assistant coach for the lacrosse team. The extra coaching stipend runs $1,000 to $2,000 for the season.

Wisconsin bill to boost math and science teachers risky for students

Peter Hewson & Eric Knuth:

While this legislation is well-intentioned, it will ultimately do more harm than good -- and it is the children in the most troubled schools who will pay the price.

Here's why: SB 175 is intended to attract math and science professionals (engineers and scientists) into teaching, based on the belief that they have the necessary subject-matter knowledge. The bill would allow them to get teaching licenses almost entirely on the basis of written tests (a math test, for example), as long as they receive some loosely specified form of mentoring during their first year on the job.

There's nothing wrong with using written tests, and mentoring new teachers is a great idea. But neither is sufficient to protect children from dangerously under-prepared teachers.

Although subject-matter knowledge is essential to good teaching, the knowledge required for teaching is significantly different from that used by math and science professionals. A well-constructed certification program gives beginning teachers a crucial knowledge base (of math or science as well as about teaching) and helps them develop the skills and practices that bring this knowledge to life.

There's a reason that so many certification programs immerse new teachers in classroom tasks gradually: It gives them a chance to make their mistakes and sharpen their skills in more controlled, lower-stakes contexts before handing them primary responsibility for a classroom of students.

The disinformation campaign about U.S. schools

Walt Gardner:

Repetition doesn't make something true. The latest reminder was a piece by Financial Times columnist Clive Crook, in which he warns that America's long-term economic prospects are bleak because of a "calamitous" failure of schools to produce a high-quality workforce. This alarmist view is not limited to Crook. It has been echoed by Bill Gates and philanthropist Eli Broad, and by a host of organizations, such as the Business Roundtable.

OPEN FORUM

Should job creation favor men? 05.19.09
Now is the time for right-to-repair law 05.18.09
Open forum: Journalism students lead way 05.16.09
More Open Forum »
It's easy to understand why people take at face value what reformers with impressive credentials say about education. They can be intimidating. But that's no excuse. As a wag quipped: In God we trust, all others bring evidence.

So let's look at the evidence.

In October 2007, B. Lindsay Lowell of Georgetown University and Hal Salzman of the Urban Institute concluded that the United States has a problem on the demand side of the equation - not on the supply side. This crucial distinction is lost in the heated debate, resulting in widespread misunderstanding.

One Step Ahead of the Train Wreck: Everyday Mathematics

Via a Barry Garelick email:

"The article describes my experience tutoring my daughter and her friend when they were in sixth grade, using Singapore Math in order to make up for the train wreck known as Everyday Math that she was getting in school. I doubt that the article will change the minds of the administrators who believe Everyday Math has merit, but it wasn't written for that purpose. It was written for and dedicated to parents to let them know they are not alone, that they aren't the only ones who have shouted at their children, that there are others who have experienced the tears and the confusion and the frustration. Lastly it offers some hope and guidance in how to go about teaching their kids what they are not learning at school."

Teaching Arts and Sciences Together

Mae Jemison:

ae Jemison is an astronaut, a doctor, an art collector, a dancer ... Telling stories from her own education and from her time in space, she calls on educators to teach both the arts and sciences, both intuition and logic, as one -- to create bold thinker.

Third Grade Mathematics in Hong Kong and Massachusetts
Why Massachusetts Students, the Best in the U.S., Lag Behind Best-in-the-World Students of Hong Kong

Steven Leinwand, American Institutes for Research and Alan Ginsburg, US Department of Education [2.5MB PDF] via a kind reader's email:

Higher expectations for achievement and greater exposure to more difficult and complex mathematics are among the major difference between Hong Kong, home of the world’s top-performing 4th grade math students, and Massachusetts, which is the highest scoring state on the U.S. National Assessment of Education Progress (NAEP), according to a report by the American Institutes for Research (AIR).

While Massachusetts 4th grade students achieved a respectable fourth place when compared with countries taking the 2007 Grade 4 Trends in Mathematics and Science Study (TIMSS-4), Hong Kong students outperformed the Bay State 4th graders in numerous categories.

The Hong Kong performance advantage over Massachusetts was especially large in the percentage of its students achieving at the very highest level. For example, 40 percent of Hong Kong students achieved at the advanced TIMSS level, compared with only 22 percent of Massachusetts students.

To help understand why Hong Kong students outperform Massachusetts students, the AIR study identified differences between the items on Hong Kong’s and Massachusetts’ internal mathematics assessments administered in the spring of grade 3 in 2007 to gather insight into the relative mathematical expectations in Hong Kong and Massachusetts.

The AIR report found that the Hong Kong assessment contained more difficult items, especially in the core areas of numbers and measurement, than the Massachusetts assessment.

“The more rigorous problems on the Hong Kong assessment demonstrate that, even at Grade 3, deep conceptual understanding and the capacity to apply foundational mathematical concepts in multistep, real-world situations can be taught successfully,” said Steven Leinwand, Principal Research Analyst at AIR and co-author of the report.

Action Needed, Please Sign on.... Math Teacher Hiring in the Madison School District

via a kind reader's email: Janet Mertz and Gabi Meyer have written a letter about new math hires that they would like you to sign on to. Please send your name, your school(s), and any relevant identifying information or affiliation to:

mertz@oncology.wisc.edu

Dear Superintendent Nerad and members of the Board of Education:

To address as quickly as possible the MMSD's need for more middle school teachers with outstanding content knowledge of mathematics, we, the undersigned, urge you to consider filling any vacancies that occur in the District's middle schools for the coming academic year with applicants who majored in the mathematical sciences or related fields (e.g., statistics, computer science, physics) in college, but may be currently deficient in teaching pedagogy. You might advertise nationally in appropriate places that applications from such candidates would be welcome. In recent years, many outstanding graduates with such backgrounds went into the computing, consulting, and financial industries. However, in the current economic climate, such jobs are much less available, especially to new college graduates. Thus, jobs in the teaching profession may be viewed much more favorably now by folks trained in the mathematical sciences despite the significantly lower salary. One indication of this is the fact that applications to Teach for America were up 42% this year. Teach for America had to reject over 30,000 applicants this spring, including hundreds of graduates from UW-Madison, due to the limited numbers they can train and place. Undoubtedly, some of these applicants were math majors who would be happy to live in Madison. Math for America, a similar program that only accepts people who majored in the mathematical sciences, likely also had to turn away large numbers of outstanding applicants. Possibly, the MMSD could contact Teach for America and Math for America inquiring whether there might be a mechanism by which your advertisement for middle school math teachers could be forwarded to some of the best of their rejects. As these programs do, the MMSD could provide these new hires with a crash course in teaching pedagogy over the summer before they commence work in the fall. They could be hired conditionally subject to completing all of the requirements for state teacher certification within 2 years and a commitment to teach in the MMSD for at least 3-5 years.

While the District's proposal to provide additional content knowledge to dozens of its current middle school teachers of mathematics might gradually improve the delivery of mathematics to the District's students, it would take numerous years to implement, involve considerable additional expense, and may still not totally solve the long-term need for math-qualified teachers, especially in view of the continuing wave of retirements. The coincidence of baby boomer retirements with the current severe economic recession provides a rare opportunity to fill our middle schools now with outstanding mathematics teachers for decades to come, doing so at much lower cost to the District since one would be hiring new, B.A.-level teachers rather than retraining experienced, M.A.-level ones. Thus, we urge you to act on this proposal within the next few weeks, in possible.

Sincerely,

Ed Hughes comments over at Madison United for Academic Excellence:

It is interesting to note that state law provides that "A school board that employs a person who holds a professional teaching permit shall ensure that no regularly licensed teacher is removed from his or her position as a result of the employment of persons holding permits."

What impact do high school mathematics curricula have on college-level mathematics placement?

James Wollack & Michael Fish [280K PDF], via a kind reader's email UW Center for Placement Testing [Link to Papers]:

Major Findings:

• CORE-Plus students performed significantly less well on math placement test and ACT-M than did traditional students
• Change in performance was observed immediately after switch
• Score trends throughout CORE-Plus years actually decreased slightly - Inconsistent with a teacher learning-curve hypothesis
• CORE-AP students fared much better, but not as well as the traditional - AP students - Both sample sizes were low

Related:

• Math Forum
• Madison School District Math Task Force.
• 2004 Madison West High School Math Teacher letter to Isthmus.
• UW Math Professor Open Letter about the Madison School District Math Coordinator position.

[280K PDF Complete Presentation]

China's boxed itself in
Its emphasis on math and science has certainly fueled its rapid economic growth, but its lack of creative thinking could rob it of an innovative edge.

Randy Pollock:

Which country -- the United States or China -- will make the 21st century its own?

When President Obama recently called for American young people "to be makers of things" and focus on subjects such as science and engineering, it was partly a nod to China's rapid growth. Had he lived, taught and consulted in China for the last 33 months, as I have, he might have urged American students first to follow his example and study the liberal arts. Only technical knowledge complemented by well-honed critical and creative thinking skills can help us regain our innovative edge. China's traditional lack of emphasis on teaching these skills could undermine its efforts to develop its own innovative economy.

I once challenged my Chinese MBA students to brainstorm "two-hour business plans." I divided them into six groups, gave them detailed instructions and an example: a restaurant chain. The more original their idea, the better, I stressed -- and we'd vote for a prize winner. The word "prize" energized the room. Laptops flew open. Fingers pounded. Voices roared. Packs of cookies were ripped open and shared. Not a single person text-messaged. I'd touched a nerve.

In the end, five of the six groups presented plans for, you guessed it, restaurant chains. The sixth proposed a catering service. Why risk a unique solution when the instructor has let it slip he likes the food business?

Education Critic to Obama: Tell the Truth

Jay Matthews:

If there was any doubt that education analyst Gerald W. Bracey doesn't play favorites, that's gone now. After excoriating the Bush administration and its education officials for eight years, after canvassing his neighborhood, donating his own money and voting for Barack Obama for president, Bracey is giving the new president just what he gave the old one -- unrelenting grief.

In a speech to the American Educational Research Association in San Diego last month on "countering the fearmongers about American public schools," Bracey added to his list of non-truthtellers President Obama and Education Secretary Arne Duncan. "Obama and Duncan seem to be following the long-established line that you can get away with saying just about anything you choose about public schools and no one will call you on it," Bracey said. "People will believe anything you say about public education as long as it's bad."

Bracey and I disagree on many issues, but I have long been one of his most appreciative readers, dating back to the days when I knew him only as a sharp-witted writer whose pieces occasionally appeared in The Washington Post's Outlook section. When I came back to Washington to cover local schools, I introduced myself to Bracey, who was then living in Northern Virginia, and wrote a piece about him and his long battle to persuade policymakers, political candidates and journalists to stop exaggerating our educational problems to win themselves appropriations, votes and attention. He lost at least one job because of his writing. Instead of using his doctorate in educational psychology to get a cushy university or think tank job, he has devoted his life to setting us straight, in his less financially secure role as freelance writer, author and speaker.

In Favor of Everyday Math; Middleton Cross Plains Math Scores Soar

Angela Bettis:

The most recent research from the U.S. Department of Education shows that American 15-year-olds are behind their International counterparts when it comes to problem solving and math literacy.

The report showed the U.S. ranks 24th out of 29 nations.

But a math program, gaining in popularity, is trying to change that. The program is called Everyday Math.

Lori Rusch is a fourth grade teacher at Middleton's Elm Lawn Elementary. This year she teaches an advanced math class.

On Monday, students in Rusch's class were mastering fractions and percentages.

But her students began learning fractions and percentages in first grade.

"We've been incredibly successful with it," said Middleton's curriculum director George Marvoulis. "Our students on all of our comparative assessments like WKCE, Explorer Plan, ACT, our students score higher in math than any other subject area so we've been very pleased."

According to Marvoulis, Middleton was one of the first school districts in the nation to use the Everyday Math program in 1994.

"The concept is kind of a toolbox of different tools they can use to solve a problem," explained Marvoulis.

Related: Math Forum and Clusty Search on Everyday Math.

Giving Kids a Jump on Technology Innovative Mitchellville Shows Off Its Success

Ovetta Wiggins:

You could see the pride in third-grader Kuron Anderson's eyes as he jumped from his tiny chair to talk about his technology project. He called it "The Many Faces of the Man," a digital photo mosaic that he created to celebrate the election of President Obama.

"I worked hard on it, and I did my best," Kuron said.

He then methodically explained how he used about 1,000 pictures to create his project for the first science and technology fair last month at the Mitchellville School of Math, Science and Technology in Bowie.

"This is the before picture," the 8-year-old said, pointing to the cutout on the cardboard display. "And if you step back, you will see his face on the computer. It is made up of cell images."

Pass bill to boost science, math teachers Pass bill to boost science, math teachers

Wisconsin State Journal Editorial

: Public schools across Wisconsin expect a critical shortage of math and science teachers in the next few years. Supply is not keeping up with demand.

That's why the Legislature should approve Senate Bill 175. This sensible proposal would lure more math and science professionals into classrooms by creating a shorter and less expensive route to a teaching license for anyone with a college degree.

SB 175 also could attract more black men into the teaching profession to serve as role models in urban schools -- a key selling point for Rep. Jason Fields, D-Milwaukee, who is part of a bipartisan group of sponsors.

All-Athletics

The Boston Globe has been publishing for 137 years, and the news that it may have to fold has distressed its many readers. Each Fall, Winter and Spring the paper publishes a special section, of 14 pages or so, on notable local public high school athletes and their coaches. There is a mention of athletes and coaches at local prep schools as well.

The latest Boston Globe's Winter "ALL-SCHOLASTICS" section arrived, with the "ten moments that stood out among the countless athletic stories in Massachusetts." There are reports on the best athletes and coaches in Skiing, Boys' Basketball, Girls' Basketball, Boys' Hockey, Girls' Hockey, Boys' Track, Girls' Track, Boys' Swimming, Girls' Swimming, Preps, Wrestling, and Gymnastics. The Preps and Gymnastics parts consolidate boys' and girls' accomplishments, perhaps to save space (and cost).

Each full-page section also features photographs of 9-16 athletes, with perhaps a twitter-sized paragraph on their achievements. In addition, there are 30 photos and tweets about some coaches, spread among the various sports. There are 26 "Prep" athletes mentioned, from various sports, but I didn't see any "Prep" coaches profiled. For each high school sport there are two "athletes of the year" identified, and all the coaches are "coaches of the year" in their sport.

There may be, at this time, some high school "students of the year" in English, math, Chinese, physics, Latin, chemistry, European history, U.S. history, biology, and the like. There may also be high school "teachers of the year" in these and other academic subjects, but their names and descriptions are not to be found in The Boston Globe, perhaps the most well-known paper in the "Athens of America" (Boston).

It may be the case, indeed it probably is the case, that some of the athletes featured in the Winter "All-Scholastics" section today are also high school students of math, history, English, science, and languages, but you would not know that from the coverage of The Boston Globe. The coaches of the year may in many, if not all, cases, also be teachers of academic subjects in the Massachusetts public and private schools, but that remains only a guess as well.

When the British architect Christopher Wren was buried in 1723, part of his epitaph, written by his eldest son, Christopher Wren, Jr., read: "Lector, si monumentum requiris, Circumspice." If you wanted to judge his interest, efforts and accomplishments, all you had to do was look around you. His work was there for all to see.

The work of Massachusetts high school athletes and coaches is all around us in The Boston Globe on a regular basis, but the work of our high school scholars and teachers is nowhere to be seen in that public record.

If one seeks a monument to anti-academic and anti-intellectual views and practices in Boston today, one need look no further than The Boston Globe. I read it every day, and I will be sorry to see it fold, if it does, but I will not miss its attention to and recognition of the academic efforts and accomplishments of Massachusetts secondary students and their teachers, because there is none now, and never has been any, no matter how many reports on education reform and academic standards it may have published over the years. If you ask how much The Boston Globe editors (and I am sure The Globe is not alone in this) cares about the good academic work now actually being done by high school teachers and their students in Massachusetts, the answer is, from the evidence, that they do not.

WKCE Scores Document Decline in the Percentage of Madison's Advanced Students

For many years now, parents and community members, including members of Madison United for Academic Excellence, have expressed concerns about the decline in rigor and the lack of adequate challenge in our district's curriculum. The release this week of WKCE scores for the November 2008 testing led me to wonder about the performance of our district's strongest students. While most analyses of WKCE scores focus on the percentages of students scoring at the Advanced and Proficient levels, these numbers do not tell us about changes in the percent of students at each particular level of performance. We can have large increases in the percent of students scoring at the Proficient and Advanced levels because we have improved the performance of students who were previously at the Basic level on the WKCE, but yet fail to have any effect on the performance of our district's strongest students. This is the argument that we are improving the performance of our low ability students, but failing to increase the performance of our already successful students. An examination of the numbers of students who are performing at just the Advanced level on the WKCE provides us with some insight into the academic progress of our more successful students.

I decided to examine WKCE math scores for students across the district. While it is not possible to track the performance of individual students, it is possible to follow the performance of a cohort as they advance through the system. Thus students who are now in 10th grade, took the 8th grade WKCE in 2006 and the 4th grade test in 2002. Because there have been significant changes in the demographics of the district's students, I split the data by socio-economic status to remove the possibility of declines in WKCE performance simply being the result of increased numbers of low income students. Although the WKCE has been criticized for not being a rigorous enough assessment tool, the data on our students' math performance are not encouraging. The figures below indicate that the percent of students scoring at the Advanced level on the WKCE decreases as students progress through the system, and this decline is seen in both our low income students and in our Not Economically Disadvantaged students. The figures suggest that while there is some growth in the percent of Advanced performing students in elementary school, there is a significant decline in performance once students begin taking math in our middle schools and this decline continues through high school. I confess that I take no pleasure in sharing this data; in fact, it makes me sick.

Because it might be more useful to examine actual numbers, I have provided tables showing the data used in the figures above. Reading across a row shows the percent of students in a class cohort scoring at the Advanced level as they have taken the WKCE test as they progressed from grades 3 - 10.

Percent of Economically Disadvantaged Students Scoring at the Advanced Level on the WKCE Math Test Between 2002 and 2008

Graduation Year	3rd Grade	4th Grade	5th Grade	6th Grade	7th Grade	8th Grade	10th Grade
2005							8
2006							8.8
2007						11	7.7
2008						5.6	8.7
2009						8.5	6.7
2010						9.2	8.4
2011		12			12.5	11.1	8
2012		9.7		10.4	9.5	8.2
2013		15.3	14.7	15.1	11.7	10.8
2014		12	13.6	16.1	13.2
2015	20.1	15	18	11.7
2016	15.4	17.1	18.4
2017	12.9	17
2018	13.8

Percent of Not Economically Disadvantaged Students Scoring at the Advanced Level on the WKCE Math Test Between 2002 and 2008

Graduation Year	3rd Grade	4th Grade	5th Grade	6th Grade	7th Grade	8th Grade	10th Grade
2005							47
2006							41.6
2007						49	42.2
2008						33.8	51.5
2009						42	45.2
2010						47.7	45.1
2011		50			45.3	45	38.4
2012		43.4		50.7	53	45.7
2013		50.3	54.8	54.1	54.7	48.2
2014		49.6	56.7	60.9	53.5
2015	60	57.8	60.7	54.2
2016	55.6	56.3	62
2017	57.4	61.4
2018	55.6

While it could be argued that the declining percentage of low income students scoring in the advanced range on the WKCE are simply the result of a relatively stable number of Advanced ability students in this group becoming a smaller and smaller percentage as the overall numbers of economically disadvantaged students increases, an examination of actual numbers reveal an absolute decline in the number of low income students scoring at the Advanced level on the Math portion of the WKCE.

Numbers of Economically Disadvantaged Students Scoring Advanced on the Math WKCE Between 2002 and 2008

Graduation Year	3rd Grade	4th Grade	5th Grade	6th Grade	7th Grade	8th Grade	10th Grade
2005							42
2006							29
2007						57	32
2008						26	51
2009						43	40
2010						52	48
2011		64			73	64	52
2012		45		64	59	49
2013		74	87	89	71	69
2014		75	85	71	87
2015	126	96	113	87
2016	112	123	131
2017	86	121
2018	102

In the interest of thoroughness, I am providing enrollment numbers for the Not Economically Disadvantaged students in the MMSD over this period of time. Readers will see that the absolute numbers of Not Disadvantaged students have declined over the past seven years; this simply confirms what we already know (the increase in numbers from 8th to 10th grade reflect the influx of 9th grade students who have attended private schools for their K-8 education, e.g., Blessed Sacrament and Queen of Peace in the West attendance area).

Numbers of Not Economically Disadvantaged Students Enrolled Across Different Grade Levels in the Madison Schools and Taking the WKCE between 2002 and 2008

Graduation Year	3rd Grade	4th Grade	5th Grade	6th Grade	7th Grade	8th Grade	10th Grade
2005							1486
2006							1628
2007						1197	1451
2008						1259	1292
2009						1145	1218
2010						992	1188
2011		1026			1019	1054	1106
2012		1039		847	913	916
2013		1064	954	949	976	952
2014		936	974	939	883
2015	953	973	960	890
2016	894	881	847
2017	950	884
2018	913

Because the percent of students in this group scoring at the Advanced level has declined as well, there are two possible explanations for what has been happening. One explanation is that the district has had a relatively larger decline in enrollments of high ability students amongst this group of Not Disadvantaged students, what is often referred to as "Bright Flight". A more probably explanation is that the math curriculum, particularly in our middle schools and in 9th grade, does not adequately challenge our students and foster their intellectual growth regardless of their socio-economic background, and of course, it is possible that both of these factors are contributing to what we see here.

I should note that I have only examined the math data, and I don't know if the WKCE data for the other subject areas is as dismal. This would seem like an analysis that the District should be doing on a regular basis, but I encourage anyone who is interested to explore the performance of our students in reading or language arts. I also do not know the extent to which the Madison data merely reflects a similar decline in performance across the state. The members of the UW Math faculty that I have talked with in the past have expressed their concerns about the overall level of preparation from Wisconsin students, and our district's data may simply be a confirmation of the failure of currently popular constructionist approaches to adequately teach mathematical concepts. The statewide data is certainly worth exploring as well, and again I invited interested parties to visit the Department of Public Instruction WINNS website and download their own copy of the data.

I will say again that I find these data to be incredibly demoralizing, but perhaps we can take hope that our new superintendent and our School Board will use these data as a rallying point as they finalize a strategic plan and consider the recommendations of the Math Task Force. We have to find ways to raise the performance of all our district's students, and right now it appears we aren't meeting anyone's academic needs.

Angling for attention: Teacher devised board game to make geometry fun

Samara Kalk Derby:

Chris Dyer's students want to know if, when he becomes rich and famous, he'll let them swim in his pool.

Dyer, an eighth-grade math teacher at Cherokee Middle School on Madison's west side, developed a board game while student teaching at the school that was picked up by an international educational products manufacturer and has now sold more than 2,000 copies.

The game, Angleside School Adventure, teaches kids how to measure angles. While learning to play the game in class one recent afternoon, student Oscar Hernandez, 14, wondered aloud whether Dyer is a millionaire yet. Dyer laughed and assured his students that, if he becomes a millionaire, he'll still be teaching them.

Many of Dyer's students say he is the best math teacher they've had.

"He's pretty good at explaining things to people who don't know," said 13-year-old Allison Ballard. "And for the people who do know, he just lets them go ahead."

The "Most Failed" College Math Course: Math 111

Shanna Woodruff:

s there any hope for college algebra?

Math 111 has been rumored throughout campus to be one of the most failed classes at Oregon State. Many students go into class with that expectation.

"I heard from everyone that I talked to about Math 111, that it was the number one failed class in the university, so I got in the mindset that I was going to fail, and I did," said Mark Stockhoff, a freshman in new media communications and business.

The issues relating to this rumor may be caused by the math placement test, poor math education before college, class size and student effort put into the class.

"We have a placement test, which we ask folks to take, and up until last year, only about 50 percent of entering freshmen placed into a college math course," said Math 111 instructor Peter Argyres.

To address the poor scores, the math department worked to create an online test that wasn't proctored to allow students to take the test in an easier environment and time frame, but the jump in scores was so significant that it was determined students had cheated on the math test.

Joanne has more.

Seattle School Board Delays New Math Program

Nick Eaton:

Divided on whether to adopt a recommended new high school textbook program Wednesday, the Seattle Public Schools Board of Directors postponed voting on the issue until next month.

The reason? The attending directors, indicating how they planned to vote, split 3-3 on Wednesday. Director Cheryl Chow, who was absent while traveling, could be the tie-breaker at the board's May 6 meeting.

"This is one of the few times when we have the opportunity to change the direction when it comes to the school district's instruction," board President Michael DeBell said.

No official vote took place, but DeBell said he planned to vote against the math-adoption motion.

Up for approval was a policy that would overhaul the Seattle school district's math program by adopting new textbooks, standardizing its curriculum and renaming its classes. The Integrated Math 2 classes, for example, would become Advanced Algebra, said Anna-Maria de la Fuente, the district's K-12 mathematics program coordinator.

A Seattle Public Schools math committee, after about six months of investigation and debate, recommended a textbook program called Discovering Mathematics for all of the district's math classes, except for statistics.

Much more on math here.

Madison School Board Rejects Teaching & Learning Expansion; an Interesting Discussion

One of the most interesting things I've observed in my years of local school interaction is the extensive amount of pedagogical and content development that taxpayers fund within the Madison School District. I've always found this unusual, given the proximity of the University of Wisconsin, MATC and Edgewood College, among other, nearby Institutions of Higher Education.

The recent Math Task Force, a process set in motion by several school board elections, has succeeded in bringing more attention to the District's math curriculum. Math rigor has long been a simmering issue, as evidenced by this April, 2004 letter from West High School Math Teachers to Isthmus:

Moreover, parents of future West High students should take notice: As you read this, our department is under pressure from the administration and the math coordinator's office to phase out our "accelerated" course offerings beginning next year. Rather than addressing the problems of equity and closing the gap by identifying minority math talent earlier, and fostering minority participation in the accelerated programs, our administration wants to take the cheaper way out by forcing all kids into a one-size-fits-all curriculum.

It seems the administration and our school board have re-defined "success" as merely producing "fewer failures." Astonishingly, excellence in student achievement is visited by some school district administrators with apathy at best, and with contempt at worst. But, while raising low achievers is a laudable goal, it is woefully short-sighted and, ironically, racist in the most insidious way. Somehow, limiting opportunities for excellence has become the definition of providing equity! Could there be a greater insult to the minority community?

The fact the Madison's Teaching & Learning Department did not get what they want tonight is significant, perhaps the first time this has ever happened with respect to Math. I appreciate and am proud of the Madison School Board's willingness to consider and discuss these important issues. Each Board member offered comments on this matter including: Lucy Mathiak, who pointed out that it would be far less expensive to simply take courses at the UW-Madison (about 1000 for three credits plus books) than spend $150K annually in Teaching & Learning. Marj Passman noted that the Math Task Force report emphasized content knowledge improvement and that is where the focus should be while Maya Cole noted that teacher participation is voluntary. Voluntary participation is a problem, as we've seen with the deployment of an online grading and scheduling system for teachers, students and parents.

Much more on math here, including a 2006 Forum (audio / video).

Several years ago, the late Ted Widerski introduced himself at an event. He mentioned that he learned something every week from this site and the weekly eNewsletter. I was (and am) surprised at Ted's comments. I asked if the MMSD had an internal "Knowledge Network", like www.schoolinfosystem.org, but oriented around curriculum for teachers? "No".

It would seem that, given the tremendous local and online resources available today, Teaching & Learning's sole reason for existence should be to organize and communicate information and opportunities for our teaching staff via the web, email, sms, videoconference, blogs, newsletters and the like. There is certainly no need to spend money on curriculum creation.

"Men more frequently require to be reminded than informed."

Listen to tonight's nearly 50 minute Madison School Board math discussion via this 22MB mp3 audio file.

Gabriele Meyer on the Madison School District's Math Program

University of Wisconsin-Madison math lecturer Gabriele Meyer advocates the use of Singapore math in this 3 minute mp3 audio file. Much more on Madison's math program here.

Related: the politics (and spin) of calculator use.

Response to the Madison School District's Math Task Force Recommendations

To: comment@madison.k12.wi.us
Cc: askey@math.wisc.edu

There are a number of points in the Summary of Administrative Response to MMSD Mathematics Task Force Recommendations which should be made. As a mathematician, let me just comment on comments on Recommendation 11. There are other comments which could be made, but I have a limited amount of time at present.

The first question I have is in the first paragraph. "One aspect of the balanced approach is represented in the four block approach to structuring mathematics lessons. The four blocks include Problem Solving, Number Work, Fluency and Maintenance and Inspecting Equations." There is a missing comma, since it is not clear whether Maintenance goes with the previous word or the last two. However, in either case, "Inspecting Equations" is a strange phrase to use. I am not sure what it means, and when a mathematician who has read extensively in school mathematics does not understand a phrase, something is wrong. You might ask Brian Sniff, who seems to have written this report based on one comment he made at the Monday meeting, what he means by this.

In the next paragraph, there are the following statements about the math program used in MMSD. "The new edition [of Connected Math Project] includes a greater emphasis on practice problems similar to those in traditional middle and high school textbooks. The new edition still remains focused on problem-centered instruction that promotes deep conceptual understanding." First, I dislike inflated language. It usually is an illustration of a lack of knowledge. We cannot hope for "deep conceptual understanding", in school mathematics, and Connected Math falls far short of what we want students to learn and understand in many ways. There are many examples which could be given and a few are mentioned in a letter I sent to the chair of a committee which gave an award to two of the developers of Connected Mathematics Project. Much of my letter to Phil Daro is given below.

The final paragraph for Recommendation 11 deals with high school mathematics. When asked about the state standards, Brian Sniff remarked that they were being rewritten, but that the changes seem to be minimal. He is on the high school rewrite committee, and I hope he is incorrect about the changes since significant changes should be made. We now have a serious report from the National Mathematics Advisory Panel which was asked to report on algebra. In addition to comments on what is needed to prepare students for algebra, which should have an impact on both elementary and middle school mathematics, there is a good description of what algebra in high school should contain. Some of the books used in MMSD do not have the needed algebra. In addition, the National Council of Teachers of Mathematics has published Curriculum Focal Points for grades PK-8 which should be used for further details in these grades. Neither of these reports was mentioned in the response you were sent.

I have pointed out errors and omissions in Connected Mathematics and Discovering Advanced Algebra to Sniff, and suggested that teachers be informed about these problems and given suggestions for how to work around them. You might ask him what has been sent to teachers about rational numbers and repeating decimals in Connected Math and the geometric series in Discovering Advanced Algebra. I wrote the principal author of Connected Math about their treatment of repeating decimals in the first edition, in 2000 and 2002. Nothing was changed in the second version. It is still a very poor treatment. I will send separately a paper I gave at a meeting in Lisbon last November. It deals with the help teachers should be given, and how inadequate it frequently is.

The National Mathematics Advisory Panel recommended that the geometric series should be done in first year algebra, since it is not hard to derive the sum of a finite geometric series and it has many interesting applications. In Discovering Advanced Geometry, the sum of this series is stated but not derived. What understanding is this giving students?

There never has been a serious public discussion about the direction of mathematics education in the Madison Schools. There should be. There was a committee set up to report and the part which surprised me most was the survey of elementary school teachers, who reported that most of them did not use a textbook as a primary resource. Decades ago my daughter went through a year at Cherokee with a teacher developed program in math. It was a disaster. I wonder about the results mentioned in a Capital Times article on the charter school Nuestro Mundo. Here are the result on WKCE Third Grade tests.

Percentage scoring proficient or advanced in reading

	Total	White	Hispanic
Nuestro Mundo	70	74	46
Madison School District	72	88	47

Percentage scoring proficient or advanced in math

	Total	White	Hispanic
Nuestro Mundo	49	63	15
Madison School District	72	87	52

Both the reading and math tests were given in English. In every other study I have seen about schools like Nuestro Mundo, the math score relative to the district score is much closer than the reading score is to the district average. Does the math staff at MMSD have an explanation for this dramatic difference?

Here is most of my letter to Phil Daro mentioned above. If you have any questions about what I have written, please feel free to contact me. My phone number is 233-7900.

Richard Askey

Recently I read the announcement of the prizes awarded by ISDDE. The Connected Math award singled out two of their books. The 8th grade book, "Say It With Symbols", had the following written about it:

Say It With Symbols tackles the development of robust fluency in symbolic manipulation (always a high priority) by focusing on "making sense with symbols" at every stage. Work on interpreting symbolic expressions leads on to creating equivalent expressions and thus to sense-making solution of linear and quadratic equations, and to modeling.

Let us look at a little of this book. There is some work on factoring quadratics, but clearly not enough for students to become fluent with it. The quadratic formula is stated but not proven, nor is there a proof (much less a motivated one) in the Teacher's Guide. Completing the square is never mentioned. There are a couple of problems like the following: Page 51 in Second Edition. [I can give comments on the First Edition if that is what you used, but I am giving them a break and using the Second. It has been through even more use than the first, but still has a lot of flaws.]

44. You can write quadratic expressions in factored and expanded forms. Which form would you use for each of the following? Explain. c. To find the line of symmetry for a quadratic relationship Answer: The line of symmetry is a vertical line perpendicular to the x-axis through a point with an x-coordinate half way between the x-intercepts. The factored form can be used to find this point. How about the case when the factors are not real? y=x^2+2x+2. There is still a line of symmetry, but without complex numbers, which few will treat in eighth grade, factoring does not work. Of course one can make it work by subtracting a constant, but this is a book for students who are just learning algebra. Whenever the word "Explain" is used in a question, I look to see what the explanation is. There is no reason given for why half way between the intercepts gives the line of symmetry. A explanation can be given using either form, but the authors do not do this. I can give you many examples where the "Explain" answer in the Teacher's Guide is far from an explanation, and sometimes is wrong.

Part d asks how to find the coordinates of the maximum or minimum point for a quadratic relationship. Here completing the square is clearly the better method at this stage, if one is aiming for the very important goal of fluency in symbolic manipulation, but that is not their goal. They seemingly never make the vital step of changing variables in an expression. There were many places where this could have been introduced and then used to give mathematical closure at the level they deal with, but it is not there.

Let us skip to the end of this book. There is an introduction to tests for divisibility in problem 9 on page 77 and problem 10 on the same page for divisibility by 2 and 4. The answers in the Teacher's Guide are reasonable. Then in problem 41 the problem of divisibility by 3 is considered. The answer pulls out the idea of changing 100a + 10b + c to 99a + a + 9b + b + c and then writes this to get the usual criteria. What is missing is an explanation for why one does this. One looks for the closest numbers to 100 and to 10 which can be divided by 3, which mimics the argument in divisibility by 2 and 4. The teachers will not know this, nor know that this can be extended to divisibility by 11 by a similar argument, although unlike the case of 3 and 9, the step from 11 to 99 to 1001 is only easy for 11 and 99. Before seeing how this extends one cannot just divide 1001 by 11, but write 1001 as 990 + 11. This extends. This is what should be in the Teacher's Guide. One recommendation from the National Mathematics Advisory Panel is that instruction should not be either entirely "student-centered" or "teacher-directed". The problem should have been given with some explanation about how divisibility by 2, 4, and 5 works, and then after remarking that divisibility by 3 cannot come from just looking at the last digit, ask the students to figure out what the closest number to 10 is which is divisible by 3, and then the closest number to 100 which is divisible by 3, and to use this information to try to find a simple test for divisibility by 3.

Let us consider the last problem. Judy thinks she knows a quick way to square any number whose last digit is 5. (Example 25) Look at the digit to the left of 5. Multiply it by the number that is one greater than this number. (example 2*3=6) Write the product followed by 25. This is the square of the number. Try this squaring method on two other numbers that end in 5. Explain why this method works. [Explanation: Students may find it easiest to explain why this method works by forming an equation [sic] to represent the value of any number ending in five, such as (10x+5), where x can be any whole number. Then a student taking the square of this value they [sic] will get (10x+5)(10x+5)=100x^2+100x+25)=100. [The 100 is only part of what should be there. It should be 100x(x+1) + 25.] This equation represents Judy's method of finding the square. [The word "equation" is wrong. They mean "expression".]

If they are going to let x be any whole number, then Judy's method is wrong, since she said to look at the digit to the left of 5, and multiply it by the number that is one greater than this number. So 125^2 would be the same as 25^2, or with careless reading, the same as 2*13 with 25 appended. This is not symbolic fluency in the textbook.

The next to the last problem dealt with divisibility by 6, and the correct statement is given in the Teacher's Guide, but the argument pulls out heavy machinery in the form of the Fundamental Theorem of Algebra when it is not needed. However, the related problem of assuming that a number is divisible by 2 and by 4 (rather than 2 and 3) does not imply it is divisible by 8 is missing. That is a mistake since students at this age will often not see the difference.

I have yet to talk to a high school teacher who thought that students who have had Connected Mathematics Project are better at symbolic calculations than those they had had earlier before CMP was introduced. Some, but not all, say the students have better conceptual understanding. Thus I find it strange that fluency in symbolic skills is singled out as a strength of CMP. Have you read the books which were mentioned?

In other areas, such as geometry, CMP has few if any of the problems which are common in East Asian countries, to help students learn how to solve multistep problems, including quite a few nice problems where auxiliary lines need to be drawn. I have books from Nigeria which have better geometry problems than CMP does. You should know this if what I found on the web is correct, that you are helping develop a middle school program based on Japanese models. Instead of giving CMP an award, it would have been much better to have read the first edition carefully and made constructive suggestions about how to improve it. It needs a lot of improvement.

Madison School District Math Program: Proposal to Increase Teacher Training and Teaching & Learning Staff

Monday evening's Madison School Board meeting will discuss a proposal to increase math teacher training and add staff to the Teaching & Learning Department. 215K PDF.

Interestingly, the latest document includes these words:

MMSD Teaching & Learning Staff and local Institute of Higher Education (IHE) Faculty work collaboratively to design a two-year professional development program aimed at deepening the mathematical content knowledge of MMSD middle school mathematics...

It is unusual to not mention the University of Wisconsin School of Education in these documents.... The UW-Madison School of Education has had a significant role in many Madison School District curriculum initiatives.

Related:

• Math Task Force
• Math Forum
• Madison West High School Math Teacher letter to Isthmus.
• Watch last Monday's school board discussion of the local math program here.

Math on the Madison School Board's Agenda this Evening

The Madison School District Board of Education will discuss this "Administrative Response" to the recent Math Task Force [452K PDF]. Links: Math Task Force, Math Forum and a letter to Isthmus from a group of West High School Math Teachers.

Accelerated Math Challenge, For a Student and Her Mom

Jay Matthews:

Anne McCracken Ehlers's third-grade daughter was not doing well in accelerated fourth-grade math at Whetstone Elementary School in Gaithersburg. Becca was spending far too long on her assignments. She was confused. She was unhappy. Ehlers is a teacher herself, in the English department at Rockville High School. So she was polite when she asked for a change, but nothing happened.

Finally, the 8-year-old in the drama decided that enough was enough, prompting this e-mail from her teacher to Ehlers on the afternoon of Feb. 5: "I just wanted to let you know that math bunch was held today from 1:00-1:30. Rebecca chose not to come. I asked her several times to please join us and she refused saying that she would come next week. We went over rounding, estimating, and adding decimals. We also reviewed word problems that include fractions. Please encourage Rebecca to take part in these extra math sessions. Thank you very much for your support."

An Interview with US Education Secretary Arne Duncan

Science:

What do we know works to improve student achievement in K-12 STEM [science, technology, engineering, and mathematics] education?

A.D.: I'd say great teachers, who know the content.
How do we know that?
A.D.: I think that's true in any subject area. If you get outstanding teachers, kids learn.

What's the evidence for that?
A.D.: Lots of evidence points to the fact that great teachers have an impact.

What is it about effective teachers that makes a difference?
A.D.: Lots of factors. It's not one. In this area, it sounds like common sense, but still, having teachers that truly know the content is critically important. You can't teach what you don't know. So that's a starting point. Beyond that, what do great teachers look like? They are passionate, they have high expectations--this is a calling, not a job. They go way beyond the call of duty to make sure that students are getting what they need. And they are really able to differentiate instruction, to work with kids who are struggling and those who are on track to becoming the next generation of chemists and physicists.

You mentioned content. But there are studies that have found what teachers majored in in college doesn't necessarily affect their ability to improve student achievement.
A.D.: You're right. I'm not talking about what you major in. I'm saying that you can't teach physics if you don't know physics. You don't have to have majored in physics. Maybe you come out of industry, or out of some other place. I worry a lot about how many folks are teaching classes in which they are not experts in the content. To me, that's a big part of the problem. We don't have enough teachers today who are experts in math and science. This is not just high school, it's also fifth, sixth, seventh grade.

Nobel laureate John Nash shares with students his love of a puzzle

Albert Wong:

More than 800 students gathered yesterday to hear Nobel prize-winning mathematician, John F. Nash, Jr. (American mathematician), share stories about his early life.

Professor Nash, who was awarded the Nobel Prize in economic sciences in 1994 and whose life was dramatised in an Oscar-winning film, A Beautiful Mind, told a hall packed with students at the Polytechnic University yesterday how problem-solving fascinated him from an early age.

"From a very young age, when we would start working with addition and subtraction calculations ... when the standard kids were working with two digits, I was working with three or four digits ...

"I got some pleasure from that," the professor said.

Professor Nash is in Hong Kong for a week-long speaking tour. Yesterday's talk, organised by the university and the Hong Kong Federation of Youth Groups, was designed to give students an opportunity to pose questions.

Fascinating.

Math Performance Anxiety

Debra Saunders:

n the 1990s, the Math Wars pitted two philosophies against each other. One side argued for content-based standards - that elementary school students must memorize multiplication tables by third grade. The other side argued for students to discover math, unfettered by "drill and kill" exercises.

When the new 1994 California Learning Assessment Test trained test graders to award a higher score to a child with a wrong answer (but good essay) than to a student who successfully solved a math problem, but without a cute explanation, the battle was on. New-new math was quickly dubbed "fuzzy crap." By the end of the decade, repentant educators passed solid math standards.

Yet the Math Wars continue in California, as well as in New Jersey, Oregon and elsewhere. In Palo Alto, parent and former Bush education official Ze'ev Wurman is one of a group of parents who oppose the Palo Alto Unified School District Board's April 14 vote to use "Everyday Mathematics" in grades K-5. Wurman recognizes that the "fuzzies" aren't as fuzzy as they used to be, but also believes that state educators who approve math texts "fell asleep at the switch" when they approved the "Everyday" series in 2007.

The "Everyday" approach supports "spiraling" what students learn over as long as two or more years. As an Everyday teacher guide explained, "If we can, as a matter of principle and practice, avoid anxiety about children 'getting' something the first time around, then children will be more relaxed and pick up part or all of what they need. They may not initially remember it, but with appropriate reminders, they will very likely recall, recognize, and get a better grip on the skill or concept when it comes around again in a new format or application-as it will!" Those are my italics - to highlight the "fuzzies' " performance anxiety.

Related: Math Forum.

Price Drop: Stocks, Homes, Now Triple-Word Scores

Carl Bialik:

A trio of words -- one that's slang for pizza, another defined as a body's vital life force and a third referring to a snoring sound -- have conspired to change the game of Scrabble.

"Za," "qi" and "zzz" were added recently to the game's official word list for its original English-language edition. Because Z's and Q's each have the game's highest point value of 10, those monosyllabic words can rack up big scores for relatively little effort. So now that those high-scoring letters are more versatile, some Scrabble aficionados would like to see the rules changed -- which would be the only change since Alfred Butts popularized the game in 1948.

For non Scrabble-rousers, there are analogs for the proposed re-evaluations in other leisure pursuits. Some notable mispriced assets: Vermont Avenue in Monopoly, three-point field goals in basketball and football and overtime losses in hockey. Yet traditionalists say rules should endure; it's up to players to exploit them.

In Scrabble, players form words on a 15-by-15-space board using 100 tiles -- two of them blanks that can stand in for any letter, and 98 tiles with letters and corresponding point values. Players draw seven tiles to start the game and refresh their set after each turn.

Obama on Math

Michael Alison Chandler:

President Obama outlined his reform agenda yesterday for the nation's public schools in a speech before the US Hispanic Chamber of Commerce. He promoted extending the school day, adopting performance pay for teachers, and encouraging the proliferation of charter schools, to name a few.

But what did he say about math, you are wondering.

Here it is - the math report. Obama's speech mentioned math education explicitly four times:

1. He reminded the nation that economic development and academic achievement go hand in hand and that the federal government can play a significant role.

"Investments in math and science under President Eisenhower gave new opportunities to young scientists and engineers all across the country. It made possible somebody like a Sergei Brin to attend graduate school and found an upstart company called Google that would forever change our world," he said.

Washington State High School Math Text Review

W. Stephen Wilson: 285K PDF via a kind reader's email:

A few basic goals of high school mathematics will be looked at closely in the top programs chosen for high school by the state of Washington. Our concern will be with the mathematical development and coherence of the programs and not with issues of pedagogy.

Algebra: linear functions, equations, and inequalities

We examine the algebraic concepts and skills associated with linear functions because they are a critical foundation for the further study of algebra. We focus our evaluation of the programs on the following Washington standard: A1.4.B Write and graph an equation for a line given the slope and the y intercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations.

We also consider how well the programs meet the following important standard: A1.1.B Solve problems that can be represented by linear functions, equations, and inequalities.

Linear functions, equations, and inequalities in Holt

We review Chapter 5 of Holt Algebra 1 on linear functions.

The study of linear equations and their graphs in Chapter 5 begins with a flawed foundation. Because this is so common, it will not be emphasized, but teachers need to compensate for these problems.

Three foundational issues are not dealt with at all. First, it is not shown that the definition of slope works for a line in the plane. The definition, as given, produces a ratio for every pair of points on the line. It is true that for a line these are all the same ratios, but no attempt is made to show that. Second, no attempt is made to show that a line in the plane is the graph of a linear equation; it is just asserted.

Third, it not shown that the graph of a linear equation is a line; again, it is just asserted.

Related: Math Forum and Madison's Math Task Force.

Schools to Retain Controversial Math Curriculum

Michael Birnbaum:

Prince William County elementary schools will continue to teach mathematics with a textbook series that has drawn parent criticism and national scrutiny, despite deep divisions in the community over whether students should be given other options.

The curriculum from Pearson Education, "Investigations in Number, Data, and Space," which is used in thousands of classrooms nationwide, has been debated virtually since Prince William began using it three years ago under the administration of Superintendent Steven L. Walts. Critics say it fails to help students learn basic skills and facts.

Their contention was buttressed last month by a federally sponsored study of first-grade test scores in schools that used four kinds of textbooks. "Investigations," known for a student-centered approach that emphasizes creative ways to solve problems, trailed in the comparison.

But educators who have championed "Investigations" say it helps students develop a deeper conception of math fundamentals before they take on complicated topics. The debate shows no signs of going away.

Last week, the Prince William School Board split 4 to 4 on a proposal that would have allowed parents to choose between "Investigations" and a more traditional math curriculum. Opponents of the proposal, which failed Wednesday on the tie vote, said that it would have been cost prohibitive and that education would have suffered.

Proof of Anaheim math teacher's skill is in students' test scores

Carla Rivera:

The former engineer has won a national honor for his energetic commitment in the classroom. Last year his young charges, who think he may be the best math teacher anywhere, aced the AP calculus test.

Sam Calavitta presides over what may be the noisiest, most spirited math class in the nation.

He greets each student personally, usually with a nickname ("Butterfly," "Batgirl" and "Champ" are a few) and a fist bump. Then he launches a raucous, quiz-show-style contest.

Boys and girls line up on opposite sides of the room, Calavitta shouts out complex equations from index cards, and the opposing sides clap and cheer with each correct answer.

"State the anti-derivative of the secant function," Calavitta yells.

"The natural log of the absolute value secant x plus tangent x plus c," answers a student correctly.

Achievement Effects of Four Early Elementary School Math Curricula Findings from First Graders in 39 Schools

Roberto Agodini, Barbara Harris, Sally Atkins-Burnett, Sheila Heaviside, Timothy Novak, Robert Murphy and Audrey Pendleton [693K PDF]:

Many U.S. children start school with weak math skills and there are differences between students from different socioeconomic backgrounds--those from poor families lag behind those from affluent ones (Rathburn and West 2004). These differences also grow over time, resulting in substantial differences in math achievement by the time students reach the fourth grade (Lee, Gregg, and Dion 2007).

The federal Title I program provides financial assistance to schools with a high number or percentage of poor children to help all students meet state academic standards. Under the No Child Left Behind Act (NCLB), Title I schools must make adequate yearly progress (AYP) in bringing their students to state-specific targets for proficiency in math and reading. The goal of this provision is to ensure that all students are proficient in math and reading by 2014.

The purpose of this large-scale, national study is to determine whether some early elementary school math curricula are more effective than others at improving student math achievement, thereby providing educators with information that may be useful for making AYP. A small number of curricula dominate elementary math instruction (seven math curricula make up 91 percent of the curricula used by K-2 educators), and the curricula are based on different theories for developing student math skills (Education Market Research 2008). NCLB emphasizes the importance of adopting scientifically-based educational practices; however, there is little rigorous research evidence to support one theory or curriculum over another. This study will help to fill that knowledge gap. The study is sponsored by the Institute of Education Sciences (IES) in the U.S. Department of Education and is being conducted by Mathematica Policy Research, Inc. (MPR) and its subcontractor SRI International (SRI).

BASIS FOR THE CURRENT FINDINGS
This report presents results from the first cohort of 39 schools participating in the evaluation, with the goal of answering the following research question: What are the relative effects of different early elementary math curricula on student math achievement in disadvantaged schools? The report also examines whether curriculum effects differ for student subgroups in different instructional settings.

Curricula Included in the Study. A competitive process was used to select four curricula for the evaluation that represent many of the diverse approaches used to teach elementary school math in the United States:

• Investigations in Number, Data, and Space (Investigations) published by Pearson Scott Foresman (Russell, Economopoulos, Mokros, Kliman, Wright, Clements, Goodrow, Murray, and Sarama 2006)
• Math Expressions published by Houghton Mifflin Company (Fuson 2006a)
• Saxon Math (Saxon) published by Harcourt Achieve (Larson 2004)
• Scott Foresman-Addison Wesley Mathematics (SFAW) published by Pearson Scott Foresman (Charles, Crown, Fennel, Caldwell, Cavanagh, Chancellor, Ramirez, Ramos, Sammons, Schielack, Tate, Thompson, and Van de Walle 2005)

The process for selecting the curricula began with the study team inviting developers and publishers of early elementary school math curricula to submit a proposal to include their curricula in the evaluation. A panel of outside experts in math and math instruction then reviewed the submissions and recommended to IES curricula suitable for the study. The goal of the review process was to identify widely used curricula that draw on different instructional approaches and that hold promise for improving student math achievement.

MINNESOTA MIRACLE WITH MATH TURNAROUND SPECIALIST PROF. BILL SCHMIDT

National Council on Teacher Quality:

We've grown so accustomed to Massachusetts' trailblazer stature in education that perhaps we were a little blasé over its decision to participate in the TIMSS, international assessments of 4th and 8th grade mathematics performance. Nor were we all that surprised to learn that the state's students performed relatively well compared to students from other nations.

Less blasé are we about Minnesota, which for years has demonstrated little more than smug satisfaction over its high standing among American states, but which decided to finally prove its mettle by competing against the world and doing fairly well (as is illustrated here).

A handwaving approach to arithmetic

The Economist:

HUMAN language is the subject of endless scientific investigation, but the gestures that accompany speech are a surprisingly neglected area. It is sometimes jokingly said that the way to render an Italian speechless is to tie his wrists together, but almost everyone moves their hands in meaningful ways when they talk. Susan Goldin-Meadow of the University of Chicago, however, studies gestures carefully--and not out of idle curiosity. Introspection suggests that gesturing not only helps people communicate but also helps them to think. She set out to test this, and specifically to find out whether gestures might be used as an aid to children's learning. It turns out, as she told the AAAS, that they can.

The experiment she conducted involved balancing equations. Presented with an equation of the form 2 + 3 + 4 = x + 4, written on a blackboard, a child is asked to calculate the value of x. In the equations Dr Goldin-Meadow always made the last number on the left the same as the last on the right; so x was the sum of the first two numbers. Commonly, however, children who are learning arithmetic will add all three of the numbers on the left to arrive at the value of x.

In her previous work Dr Goldin-Meadow had noted that children often use spontaneous gestures when explaining how they solve mathematical puzzles so, to see if these hand-movements actually help a child to think, or are merely descriptive, she divided a group of children into two and asked them to balance equations. One group was asked to gesture while doing so. A second was asked not to. Both groups were then given a lesson in how to solve problems of this sort.

Moscow Math Festival for 6th and 7th Graders

Click on the photo to view a larger version.

Here are the problems from this past Sunday's Moscow Math Festival for Grade 6 [PDF] (1,275 participants) and Grade 7 [PDF] (888 participants), along with a few photos (the competition was held at Moscow State University, using three buildings).

The Spiral of Ignorance

The Economist:

Lack of understanding of the credit crunch is magnifying its damage

THE BBC's "Today" programme is the main current-affairs show on British radio. Last year it recruited a new presenter, Evan Davis, who is also an economist. An amusing pattern has since developed. Quizzed about the credit crunch, a politician delivers some carefully memorised remark about, say, quantitative easing. Then the guest experiences an audible moment of existential horror, as Mr Davis ungallantly presses him for details.

The tide has gone out and, with a very few exceptions, Britain is swimming naked: almost nobody appears to know what he is talking about. The havoc of the financial crisis has stretched and outstripped even most economists. The British political class is befogged. Ordinary people are overwhelmed. And just as the interaction between banking and economic woes is proving poisonous, so the interplay of public and political ignorance is damaging the country's prospects.

Start with the government, whose ministers are still oscillating between prophesying economic Armageddon and gamely predicting the best of all possible recoveries. Gordon Brown is learned in economic history--indeed, he is at his most animated and endearing when discussing it. But the prime minister's grip on the history he is living through is less masterful. The government's implicit strategy is to try something and, when that does not work, try something else: the approach modestly outlined by Barack Obama, but rather less honest.

Life After Algebra II

Michael Alison Chandler:

As the school year speeds by, rising seniors at Fairfax High are already meeting with their teachers and guidance counselors to decide which classes they should take next year. Up until this point, the math sequence is spelled out -- Algebra I, Geometry, Algebra II. After this point, there are plenty of options.

Here are the math classes students in a non-honors Algebra II class can choose from:

Trigonometry (Semester Course)
Probability and Statistics (Semester Course)
Discrete Math (Semester Course)
Pre Calculus with Trigonometry
AP Statistics
AP Computer Science

If they are not pursuing an advanced diploma, they can also choose to take no math class their senior year. That's an option a few students I talked to this week planned to take. Others were aiming for pre-calculus, which will put them on track to take Calculus in college. Others were talking about a combination of the semester-long courses.

A handwaving approach to arithmetic

The Economist:

HUMAN language is the subject of endless scientific investigation, but the gestures that accompany speech are a surprisingly neglected area. It is sometimes jokingly said that the way to render an Italian speechless is to tie his wrists together, but almost everyone moves their hands in meaningful ways when they talk. Susan Goldin-Meadow of the University of Chicago, however, studies gestures carefully--and not out of idle curiosity. Introspection suggests that gesturing not only helps people communicate but also helps them to think. She set out to test this, and specifically to find out whether gestures might be used as an aid to children's learning. It turns out, as she told the AAAS, that they can.

The experiment she conducted involved balancing equations. Presented with an equation of the form 2 + 3 + 4 = x + 4, written on a blackboard, a child is asked to calculate the value of x. In the equations Dr Goldin-Meadow always made the last number on the left the same as the last on the right; so x was the sum of the first two numbers. Commonly, however, children who are learning arithmetic will add all three of the numbers on the left to arrive at the value of x.

Students Then and Now

J. Edward Ketz:

Compared with the students in the 1970s, today's accounting students are uneducated and unfit for a college education.

I have been teaching full time for over thirty years. If you toss in my apprenticeship teaching as a graduate student, I have taught for almost thirty-five years. During that span of time, one sees many, many students, and it amazes me how different they have been over time, and the inequality continues to grow. Compared with the students in the 1970s, today's students are uneducated and unfit for a college education.

Before proceeding, let me enunciate two premises. First, I do not think there is any significant difference between the two groups in terms of native, raw intelligence. Instead, the distinction between yesterday's and today's students when they first set foot on college campuses rests in their educational backgrounds, analytical thinking, quantitative skills, reading abilities, willingness to work, and their attitudes concerning the educational process. In short, they differ in terms of their readiness for college. Second, I am focusing on the average student who majors in accounting. Both groups arise from a distribution of students. The lower tail of yesteryear's population had some weak students, and the upper tail of the present-day population has some very strong students; however, when one focuses on the means of these two distributions, he or she finds a huge gap.

To begin, today's average accounting major cannot perform what used to be Algebra I and II in high school. Students cannot solve simultaneous equations. Students have difficulty with present value computations, not to mention formula derivations. Students even have difficulty employing the high-low method to derive a cost function, something that merely requires one to estimate a straight line from two points.

I would like to discuss in class the partial derivative of a present value formula to ascertain the impact of changes in interest rates, but that has become a fruitless enterprise. Even if students had a course in calculus, the exams probably had multiple choice questions so students guessed their way through the course, they don't remember what they learned, and whatever they learned was mechanical and superficial.

Related:

• K-12 Tax & Spending History
• State of Wisconsin (taxes & fees) K-12 spending growth
• Madison West High School Math Teachers letter to Isthmus on curriculum reduction.

February 1994: Now They Call it 21st Century Skills

Charles J. Sykes:

"Dumbing Down Our Kids--What's Really Wrong With Outcome Based Education"

Charles J. Sykes, Wisconsin Interest, reprinted in Network News & Views 2/94, pp. 9-18

Joan Wittig is not an expert, nor is she an activist. She just didn't understand why her children weren't learning to write, spell, or read very well. She didn't understand why they kept coming home with sloppy papers filled with spelling mistakes and bad grammar and why teachers never corrected them or demanded better work. Nor could she fathom why her child's fourth-grade teacher would write, "I love your story, especially the spelling," on a story jammed with misspelled words. (It began: "Once a pona time I visited a tropical rian forist.")

While Wittig did not have a degree in education, she did have some college-level credits in education and a "background of training others to perform accurately and competently in my numerous job positions, beginning in my high school years." That experience was enough for her to sense something was wrong. She was not easily brushed off by assurances that her children were being taught "whole language skills." For two years, she agonized before transferring her children from New Berlin's public schools to private schools.

After only a semester at the private schools, her children were writing and reading at a markedly higher level. Their papers were neatly written, grammatical, and their spelling was systematically corrected.

Earlier this year, she decided to take her story to her local school board.

Armed with copies of her children's work (before and after their transfer to private schools), she questioned the district's allegiance to "whole language"--a teaching philosophy, Wittig said, where children are "encouraged to write and spell any way they want and the teacher does not correct the spelling so that the child's creativity is not stifled."

"Is this to be considered teaching?" she asked. "Is effective learning taking place?"

She also wondered about the schools' emphasis on "cooperative learning," in which children learn in groups. "I sent my child to school to be taught by a teacher," she said, "not by another student."

A local newspaper story recounted the reaction to Wittig's presentation: "Superintendent James Benfield said such criticism could make school employees feel they are doing something wrong. 'We should not have employees criticized until we change the guidelines,' he said, adding that he would be willing to consider a change."

Change is unlikely. If Wittig left the skirmish puzzled, she is not alone.

A growing number of school districts seem eager to embrace the very techniques Joan Wittig was challenging. And what she saw as the dumbing down of her children's schools is being hailed by state commissions, educational experts, and a growing number of school boards as the latest in educational "reforms."

Many of those "reforms" are being instituted under the rubric of outcome based education (OBE), a term fraught with controversy, ambiguity, and misunderstanding.

The source of the confusion is readily understandable. Different people mean different things when they talk about outcome based education. Adding to the confusion, some districts apparently have adopted OBE techniques, but deny having done so when parents and/or reporters make inquiries.

Lost in the fog of jargon that surrounds OBE are radical differences over the role of schools in society. School administrators who are understandably reluctant to venture into such treacherous waters often downplay, deny, or evade the philosophical underpinnings of the reforms they advocate.

One thing, however, is clear. Outcome based education programs are spreading rapidly at both the state and local level, driven in large measure by efforts to establish national and state "goals" for improving education. That process is likely to accelerate with the Clinton administration's decision to require states to adopt federally approved "goals" as a condition of receiving school aid. Those federal guidelines could very well look a good deal like the "outcomes" advocated by architects of OBE.

This will intensify the level of political controversy over OBE.

But the politics of OBE are anything but simple. OBE programs are bitterly opposed by some conservative parent groups, but have been widely embraced by moderate and conservative business leaders, including those who served on Governor Tommy G. Thompson's Commission on Schools for the 21st Century (known as the Fish Commission after its chairman, Ody Fish). On the other hand, OBE is championed by the education establishment (and is de rigueur at schools of education), but it is opposed by one of the nation's largest teachers' unions, the American Federation of Teachers.

Much of the confusion over OBE centers on the notion of "outcomes."

Ironically, "outcomes" were first raised to prominence by leaders of the conservative educational reform movement of the 1980s. Championed by Chester E. Finn, Jr., among others, such reformers argued that the obsession with inputs (dollars spent, books bought, staff hired) focused on the wrong end of the educational pipeline. They insisted that schools could be made more effective and accountable by shifting emphasis to outcomes (what children actually learned). Finn's emphasis on outcomes was designed explicitly to make schools more accountable by creating specific and verifiable educational objectives in subjects like math, science, history, geography, and English. In retrospect, the intellectual debate over accountability was won by conservatives. Indeed, conservatives were so successful in advancing their case that the term "outcomes" has become a virtually irresistible sales tool for educational reform.

The irony is that, in practice, the educational philosophies collectively known as outcome based education have little, if anything, in common with these original goals. To the contrary, OBE, with its hostility to competition, traditional measures of progress, and academic disciplines in general, can more accurately be described as part of a counter-reformation, a reaction to those attempts to make schools more accountable and effective. The OBE being sold to schools across Wisconsin represents, in effect, a semantic hijacking.

"The conservative education reform of the 1980s wanted to focus on outcomes (i.e. knowledge gained) instead of inputs (i.e. dollars spent)," notes former Education Secretary William Bennett. "The aim was to ensure greater accountability. What the education establishment has done is to appropriate the term but change the intent."

In other words, educationists have adopted the language of accountability to help them avoid being accountable.

Central to this semantic hijacking is OBE's shift of outcomes from cognitive knowledge to goals centering on values, beliefs, attitudes, and feelings. As an example of a rigorous cognitive outcome (the sort the original reformers had in mind), Bennett cites the Advanced Placement Examinations, which give students credit for courses based on their knowledge and proficiency in a subject area, rather than on their accumulated "seat-time" in a classroom.

In contrast, OBE programs are less interested in whether students know the origins of the Civil War or the author of the Tempest than whether students have met such outcomes as "establishing priorities to balance multiple life roles" (a goal in Pennsylvania) or "positive self-concept" (a goal in Kentucky). Nothing that Joan Wittig found in her children's classrooms was inconsistent with OBE philosophies or practices.

Consider the differences in approaches to educational reforms:

• Where the reformers like Finn cited "outcomes," they insisted on higher academic standards; OBE lowers them.
• Where the original reformers aimed at accountability, OBE makes it difficult, if not impossible, to objectively measure and compare educational progress.
• Instead of clearly stated, verifiable outcomes, OBE goals are often diffuse, fuzzy, and ill-defined, loaded with educationist jargon like "holistic learning," "whole-child development," and "interpersonal competencies."
• Where the original reformers saw their goal as excellence, OBE is characterized by a radical egalitarianism that tends to penalize high-achieving students.
• Where original reformers emphasized schools that worked, OBE is experimental. Its advocates are unable to point to a single district where it has been successful.
• And finally, where the original reformers saw an emphasis on outcomes as a way to return to educational basics, OBE has become, in Bennett's words, "a Trojan Horse for social engineering, an elementary and secondary version of the kind of 'politically correct' thinking that has infected our colleges and universities."

But while much of Outcome Based Education is genuinely radical, in general, it does not represent anything really very new. Rather, it is a continuation of the decades-old drift in educational circles away from subject content towards technique; from teaching knowledge to emphasizing nebulous "mental skills."

It represents a continuation of the flight from academic rigor and accountability. Ultimately, OBE is less sinister than it is the embodiment of mediocrity as an educational goal.

The architects of OBE envision a world in which no one fails, or at least one in which no one fails in school. "For the most part," declares Albert Mammary, "we believe competition in the classroom is destructive." Mammary has been superintendent of New York's Johnson City Central School District, K-12, where he developed an "Outcomes-Driven Developmental Model" (ODDM), which he describes as the "nation's first comprehensive school improvement model."

The model is built on slogans along the line of "Success for all students" and "Excellence for All."

For Mammary, the first step to success begins with doing away with failure.

Outcome based schools "believe there should be no failure and that failure ought to be removed from our vocabulary and thoughts," he wrote in 1991. "Failure, or fear of failure, will cause students to give up."

Former students may recall that, to the contrary, the fear of failure was an inducement to try harder, a spur that caused papers to be written and formulas memorized. But Mammary sees the threat of failure only as a barrier to enthusiastic learning.

"When students don't have to worry about failure," he insists, "they will be more apt to want to learn."

Mammary apparently feels the same way about differentiation of any sort. He opposes curved grading, ability grouping, and tracking. Tests are also transformed. They are no longer trials of knowledge, but celebrations of success.

"Testing should be creative," he insists, "aligned to learning outcomes, and only given when the students will do well."

This is only the beginning of his redefinition of "success" and "excellence."

Outcome based schools, he declares, "believe excellence is for every child and not just a few." They achieve this not by dragging the top kids down, he writes, but by bringing expectations up for everyone. He does this, however, by insisting that everyone be a winner.

Mammary is explicit on this: "A no-cut philosophy is recommended. Everyone trying out for the football team should make it; every girl or boy that (sic) wants to be a cheerleader should make it; everyone who comes to the program for the gifted and talented should make it."

There is a dreamy, utopian quality about all of this. Wouldn't it be nice if everyone were a prom queen; if everybody who dreamed of being a quarterback could be one; if every aspiring pianist could star in a concert. The world, unfortunately, doesn't work that way.

But that is precisely the point. Dreams have such power to fix our imaginations precisely because everyone cannot achieve them. Boys aspire to be quarterbacks because of the level of accomplishment it represents. Not everyone can do it. If anyone could be quarterback, what is left to aspire to?

There is also a practical concern here. A football team that must play anyone who wishes to be quarterback will quickly become a team on which no one will want to play any position.

By abolishing failure (or at least the recognition and consequences of failure) and redefining excellence to mean whatever anyone wants it to mean, we deprive success of meaning. In the ideal OBE world, everyone would feel like a success, without necessarily having to do much of anything to justify their self-esteem.

If Mammary appears to be a dreamer, there are practical applications of his philosophy. The most obvious is the hostility of OBE to traditional grades as measurements of achievement.

The emphasis on abolishing grades and traditional tests is central to the philosophy of OBE advocates. "Grading lies at the core of how our current system operates," declares OBE guru William Spady, director of the High Success Program on Outcome-Based Education.

Spady, who has been influential in the establishment of OBE programs in Wisconsin, quotes conservative reformers such as Chester Finn in his writings, but he follows Mammary in calling for the leveling of distinctions based on ability, industry or achievement.

Grades are gatekeepers, separating good students from others. "This, in turn, reinforces the system of inter-student comparison and competition created by class ranks. Such a system, of course, gives a natural advantage to those with stronger academic backgrounds, higher aptitudes for given areas of learning, and more resources at home to support their learning."

His objection appears to be based less on educational grounds than on his suspicion of inequality of any sort. Grades favor the smart and the studious. Spady wants to make up for the unfairness of it all.

Grades are oppressive, Spady writes. "Grades label students, control their opportunities, limit their choices, shape their identities, and define their rewards for learning and behaving in given ways."

Grades pit students against one another, he complains, "implying that achievement and success are inherently comparative, competitive and relevant" (which, in fact, they are, both in school and life). Indeed, Spady sees the issue of grades in terms of class struggle. "The usual result: the rich get richer, the poor give up."

Not necessarily. Occasionally, the student who gets Ds will work to become a student who gets Cs, and the C student will strive to become an A student. The A student may work harder so that he does not become a C student.

But Spady sees no link between grades and motivation to succeed or improve oneself. Instead, he focuses on the potential damage that poor grades might inflict on "young people struggling to define their identity and self-worth." He assumes here that identity and self-worth are independent of achievement.

Like Mammary, Spady envisions a grading system with no failure, but also no bad grades at all. OBE, he explains, eliminates labeling and competitive grading and stresses "VALIDATING that a high level of performance is ultimately reached on those things that will directly impact on the student's success in the future. In other words, all we're really interested in is A-level performance, thank you, so we EXPECT it of all students, systematically teach for it, and validate it when it occurs."

The OBE buzzword for its approved evaluation system is "authentic assessment." Assessment is authentic, apparently, only when it becomes impossible to rank one student's performance ahead of another's.

In this new system, Spady suggests that teachers will be able to "throw away their pens at evaluation and reporting time and replace them with pencils that have large erasers." Although he does not expand on the point, the abolition of "permanent records" has obvious advantages for educationists as well as students. The eraser takes both off the hook at the same time.

One form of accountability especially detested by the educational establishment creates measurements by which academic achievement can be readily compared among schools and among districts. Evaluations that are constantly in flux obviously cannot be compared this way. At most, schools could report progress toward their educational "goals," which may be notoriously difficult to quantify. Those goals, however, will be a benchmark of sorts, and educationists can be expected to point to them as authentic measures of their success.

Indeed, success of some sort or another seems inevitable, since the goals often appear to be set to accommodate the lowest common denominator.

In its goal statement, Milwaukee's suburban Whitnall district declared, "By 1996-97, all students will demonstrate 100% proficiency in the District's performance outcomes."

Whitnall school board member Ted Mueller quotes one astute resident remarking, "If we require all students to be able to stuff a basketball to be able to graduate from high school, the only way you're going to be able to accomplish that is to lower the basketball hoop."

Because material must be taught and re-taught until every student has mastered it, teachers in the OBE classroom necessarily have to narrow their ambitions. OBE advocates describe this as teaching less, but better. Fewer areas of math are covered, but they are covered more intensely. Even so, it is hard to avoid the "Robin Hood effect," in which time and attention are shifted from high achieving students (who quickly master the material) to slower achieving students. This is, of course, exacerbated by OBE's insistence on eliminating tracking or ability grouping.

Robert Slavin, director of the elementary school program at Johns Hopkins University's Center for Research on Elementary and Middle Schools, notes that OBE (or "mastery learning") "poses a dilemma, a choice between content coverage and mastery."

"Because rapid coverage is likely to be of greatest benefit to high achievers, whereas high mastery is of greatest benefit to low achievers," he concludes, programs such as OBE may be taught at the expense of the quicker students.

"If some students take much longer than others to learn a particular objective, then one of two things must happen," Slavin writes. "Either corrective instruction must be given outside of regular classroom time, or students who achieve mastery early on will have to spend considerable amounts of time waiting for their classmates to catch up..." It is not even clear that such a system benefits slower learners. Slavin's research found that "it may often be the case that even for low achievers, spending the time to master each objective may be less productive than covering more objectives."

One of the most popular features of OBE is also one of the overt examples of the Robin Hood effect. In cooperative learning, students allegedly teach one another. In reality, it serves as a mechanism to keep students working at a uniform pace.

In her presentation to the New Berlin school board, Joan Wittig remarked on the bizarre consequences of such mandatory "cooperation."

"Lazy, poor students rely on the good students to do all the work," she told the board. "Good students are reinforced that they must do everything if it is to be done right."

Another critic is high school senior Marisa Meisters, who wrote to a local newspaper:
As a senior at Arrowhead [High School], I have seen the results of OBE firsthand. The bottom line is that it does not work. The main goal of OBE is to teach students how to work in groups. The students in each group who understand the concept are supposed to teach the others in the group. Instead of moving on to more challenging concepts, the faster students have to wait for the entire group to understand the concept before they move on. Another OBE goal is to allow students to master subjects by retaking any test until the student can pass. The result is that the students do not study. Why should they when they can keep retaking the test? Eventually the student is bound to guess right.

But the genuinely radical vision of OBE's architects is nothing so banal as "less taught but taught well." Theorists like William Spady envision an educational system "grounded on future-driven outcomes that will directly impact the lives of students in the future, not on lesson and unit and course objectives. This means that content details will have to give way to the larger cognitive, technical, and interpersonal competencies needed in our complex, changing world."

Exactly how "exit outcomes" will be divorced from "content details" is unclear. But it seems to mean that details of history (such as who won World War II) might be sacrificed in favor of material that will "directly impact" the lives of young people. Teaching "things," or specific knowledge, is thus downgraded in the service of what Spady vaguely describes as "larger...competencies." This appears to be educationese for saying that one does not need to know where England is as long as one has mastered "spatial" competencies; one need not know history as long as one has attained an interpersonally competent outcome.

Of course, Spady doesn't expect this to come all at once. He acknowledges that schools will have to muddle through for the time being with the existing curriculum content, or what is left of it. Spady envisions a three-part process of transformation.

In the first stage, existing subject areas (science, math, history, English) "are taken as givens and are used to frame and define outcomes." In its infancy, OBE will be content to define outcomes in terms of math abilities, knowledge of history, etc. These are the terms on which OBE is usually sold to parents and school boards. This is, however, only the beginning as far as Spady is concerned.

In the second stage, which Spady calls "Transitional OBE," educrats create "a vehicle for separating curriculum content from intended outcomes and for placing primacy on the latter."

In this stage, traditional curricular content is replaced by outcomes emphasizing Spady's "higher order competencies and orientations."

As if to emphasize how separate these competencies are from the traditional content of the curriculum, Spady stresses that "these broad competencies are almost always content neutral." Indeed, he goes so far as to declare that the "content simply becomes a vehicle through which [higher order competencies] are developed and demonstrated."

By Spady's third and final stage--called "Transformational OBE"--the divorce between course content and the "exit outcomes" is complete and irreversible. Traditional curricular content has faded away altogether. In Transformational OBE, Spady writes, "curriculum content is no longer the grounding and defining element of outcomes."

With content excluded, Spady turns up the flow of educationese to full-bore.

Now he writes, "outcomes are seen as culminating Exit role performances which include sometimes complex arrays of knowledge, competencies, and orientations and which require learning demonstrations in varying role contexts."

Naturally this "dramatically redefines the role of subject content in determining and constraining what outcomes can be." Actual knowledge--the ability to write a coherent letter, add a column of numbers, know the century in which the [U.S.] Civil War took place--should not be allowed to crimp the style of the higher order competencies.

Predictably (and also conveniently), these competencies cannot be measured by tests or other verifiable, comparative measures. Indeed, Spady describes the student of the future as a sort of performance art--a work in progress.

"The bottom line of Transformational OBE is that student learning is manifested through their ability to carry out performance roles in contexts that at least simulate life situations and challenges."

Unfortunately, graduates will not be called on merely to perform in simulations of life. They will face the real thing, a reality unlikely to conform itself to Spady's model.

Perhaps because of the transitional nature of OBE, fuzzy goals clogged with impenetrable jargon seem endemic to OBE.

Kentucky's state educational goals include such "valued outcomes" as: "Listening," which officials defined by saying "Students construct meaning from messages communicated in a variety of ways for a variety of purposes through listening."

This was distinguished from "Observing," which they defined by saying "Students construct meaning from messages communicated in a variety of ways for a variety of purposes through observing."

Other goals included: "Interpersonal Relationships," in which "Students observe, analyze, and interpret human behaviors to acquire a better understanding of self, others, and human relationships;" "Consumerism...Students demonstrate effective decision-making and evaluate consumer skills;" "Mental and Emotional Wellness...Students demonstrate positive strategies for achieving and maintaining mental and emotional wellness;" "Positive self-concept...Students demonstrate the ability to be adaptable and flexible through appropriate tasks or projects;" "Multicultural and World View...Students demonstrate an understanding of, appreciation of, and sensitivity to a multicultural and world view;" and "Ethical values...Students demonstrate the ability to make decisions based on ethical values."

Obvious questions remain unanswered here: Whose ethical values will be used to establish the acceptable outcomes? Will any size fit? How will they be measured? How will schools determine whether a student has met its goals for "Interpersonal Skills" or "Consistent, Responsive and Caring Behavior," or "Open Mind to Alternative Perspectives?"

And haven't the schools gotten themselves into a lot of areas that are, frankly, none of their business?

Academic areas are not neglected, but they often bear only a passing resemblance to traditional fields of study.

Geography is transformed into "Relationship of Geography to Human Activity," in which "Students recognize the geographic interaction between people and their surroundings in order to make decisions and take actions that reflect responsibility for the environment." (Note that this does not actually include knowing something so mundane as what countries border the United States.)

Similarly, the "aesthetic" goal in which "Students appreciate creativity and the value of the arts and humanities" could conceivably by achieved without students having read a classic work of literature or seen a masterpiece of art.

The emphasis on "skills" tends to conceal the basic flaw of such curriculums that are devoid of "facts." As E.D. Hirsch notes, "Yes, problem-solving skills are necessary, But they depend on a wealth of relevant knowledge." Such knowledge plays little, if any, role in what passes for outcome based education these days.

Criticism of OBE's abstract academic goals is not limited to conservatives. Albert Shanker, president of the American Federation of Teachers, has joined the chorus of OBE critics who question its academic priorities.

"OBE standards include academic outcomes," he notes, "but they are very few and so vague that they would be satisfied by almost any level of achievement, from top-notch to minimal; in other words, they are no improvement over what we have now."

Pennsylvania's writing outcome, for example, called for "All students [to] write for a variety of purposes including to narrate, inform, and persuade, in all subject areas." Remarked Shanker, "In an excellent school, this could mean a portfolio of short stories, several 1,000-word essays, and numerous shorter ones. In a poor school, it could mean three short paragraphs loaded with misspellings.

"Vaguely worded outcomes like this will not send a message to students, teachers and parents about what is required of youngsters. Nor will they help bridge the enormous gap between schools where students are expected to achieve...and schools where anything goes."

As Shanker noted, Pennsylvania was something of a trailblazer in the area of establishing "goals" for outcome based educational programs. Officials there were so enthusiastic that they embraced 51 separate "learning outcomes," of which the vast majority concerned values, feelings, or attitudes.

One "outcome" defined as a base goal in Pennsylvania was that "all students understand and appreciate their worth as unique and capable individuals and exhibit self-esteem." It did not describe how self-esteem would be exhibited or measured.

Other learning outcomes included: "All students develop interpersonal communication, decision making, coping, and evaluation skills and apply them to personal, family and community living." "All students relate in writing, speech or other media, the history and nature of various forms of prejudice to current problems facing communities and nations, including the United States."

Once again, it was not clear how the schools would keep tabs on environmental decisions made in students' private lives or how they would remediate environmentally incorrect behaviors.

The very number of "learning outcomes" is significant. As Shanker notes, the large number of outcomes "sounds demanding, but it's the opposite." That is because teachers are already spread thin and will therefore have to pick and choose among the dozens of mandated "outcomes." It is not hard to predict what sort of choices they will make. Remarks Shanker, "it's a lot easier to schmooze with kids about 'life roles' than to make sure they can do geometry theorems or read Macbeth. In an educational version of Gresham's law, the fluffy will drive out the solid and worthwhile."

Wisconsin, known for its good sense and immunity to the trendy and untested, has not escaped infection. OBE buzzwords have become commonplace in local district mission statements and planning documents. The City of Waukesha School District's Strategic Planning report, for instance, declares that "The process of learning is as important as the content being taught" and that "learning to cooperate is as important as learning to compete."

The movement towards outcome based education was given its greatest impetus, however, by a state commission charged with developing goals for the state's schools. The Governor's Commission on Schools for the 21st Century called for state law to be revised "to state the goals and expectations of Wisconsin pubic schools in language that is compatible with an outcome-based integration education model..." It also called on state officials to ensure "conformity with outcome-based educational objectives."

The Fish Commission embraced an "integrated education model curriculum framework" that says that "every student will give evidence of the knowledge, skills, and understanding in each of the following areas."

There followed a list of "outcomes" and "goals," including: "Leisure Time; Cultural interdependence; Interpersonal skills; Adaptability; Equity; Accepting People; Positive self-image; Application of values and ethics; Risk taking and experimentation; Family relationships; Environmental Stewardship; Positive work attitudes and habits; Racial, ethnic, cultural diversity histories of U.S.; Team Work; Human Growth and Development; Respect all occupations; Shared decision making; Health & wellness.

While the list did include history, geography, computer literacy, and communications among other more traditional subjects, it is still remarkable for its lack of focus and its extraordinarily wide net. The commission did not explain how it would ascertain, measure, or correct students' knowledge, skills, and understanding of family relationships, or why this should be considered a state-mandated educational goal.

In May 1993, I had the chance to moderate a debate on outcome based education. During the debate, I asked an official of Wisconsin's Department of Public Instruction (and a proponent of OBE), "Have there been specific, controlled studies conducted to measure the performance of low, medium, and high capability students in Outcome Based Education versus traditional teaching curriculums."

His answer: "Most of the outcome based programs that are in effect now have not been in effect for a long enough period of time for studies of the kind you're talking about to take place."

In other words: no.

The suspicions that OBE might be a stalking horse for politically correct social engineering are fueled by its penchant for setting "outcomes" that relate to social, cultural, and political issues. Comments by some of OBE's most prominent architects tend to contribute to the misgivings of critics. William Spady, who has been paid $2,500 to make presentations to at least one suburban Milwaukee district, has made it clear that his vision of the future of education is dominated by social, cultural, and ideological preoccupations.

At times, his agenda is overtly political.

In 1987, Spady outlined his own assumptions regarding the future which needed to be taken into account when fashioning "exit outcomes."

His first assumption stated, "Despite the historical trend toward intellectual enlightenment and cultural pluralism, there has been a major rise in religious and political orthodoxy, intolerance, and conservatism with which young people will have to deal."

The implication is that OBE could somehow serve as an antidote to this 'ominous' resurgence of conservative thought.

His remaining assumptions strike a similarly ideological note. He describes the "re-pluralizing of society," the "decline of the traditional nuclear family," and the "gap between 'have' and 'have not' children." He is alarmist about the future of the environment.

"Global climate and ecology," he wrote, "are already shifting in a dangerous direction."

This is not to suggest that all OBE programs have a hidden political agenda. But its authors do seem to have a far more expansive view of the role of schools than more traditional educators ever envisioned. Albert Mammary, for example, writes:

"We believe that if students don't get love at home, they should get it in schools. If they don't get caring at home, they should get it in schools. If they don't belong and aren't connected at home, they should get it in schools. If they don't get food and clothing at home, they should also get that in schools."

This would seem to suggest that schools not only become centers of social work and welfare, but also substitute families. Educators should not be surprised if this ambition is not greeted with enthusiasm from every corner of society.

Designers of OBE scoff at charges that the new curriculums involve social engineering, and they are right to the extent that many programs bear little resemblance to the grandiose visions set out by Messrs. Mammary and Spady.

But, given the vagueness of the jargon-laden "outcomes," it is difficult for parents to know in advance what their students will learn and equally hard to measure success after the fact.

Such confusion provides ample opportunity for abuse. Political agendas can infiltrate curriculums as certain ideas and attitudes become part of the mandated "outcomes," but this is not inevitable.

In most cases, the outcome is less likely to be indoctrination than a pervasive mediocrity. A recent National Geographic article describing the culture of Sweden quoted one ethnologist: "We're taught very early not to stand out from the crowd..." The Swedish word lagom refers to this sense of "appropriateness," or averageness, that dominates Swedish life. "Lagom is best," Swedes are quoted as saying. "To be average is good in Sweden. To be different is bad."

This could well be the slogan for Outcome Based Education.

In a world with no losers and no winners, the overall tone will be blandness and conformity, an outcome that would probably be met with considerable enthusiasm by the designers of Outcome Based Education. No one feels very good, but then no one's self-esteem suffers much either.

What's really wrong with OBE? Its product is likely to be unmotivated, uninspired children who feel good about themselves, but who are unprepared for failure, rejection, and disappointment--and equally unprepared for competition in the 1990s and beyond.

Singapore Math Bill Approved in Utah

Lisa Schencker:

Some lawmakers want Utah to follow the lead of a tiny Asian country when it comes to teaching math.

A senate committee Friday morning approved a bill, SB 159, that would allow districts and charter schools to apply for grants to use the Singapore method to teach math. Singapore is one of the highest scoring countries on international math tests.

In Singapore, math students are encouraged to think visually and develop mental strategies to solve problems. They're discouraged from using paper to compute math problems.

"We seek to create a school system that will produce a significant percentage of the scientists and engineers needed by our country," said Sen. Howard Stephenson, R-Draper, who is sponsoring the bill.

SB 159 would offer competitive grants to districts that come up with plans for teaching Singapore math in kindergarten through sixth grade and some secondary school classes. The bill would also require districts to train teachers in Singapore math and offer grants to colleges and other groups to train mathematicians to be teachers.

"I believe this will raise the math abilities of everyone in the state," said Aaron Bertram, chairman of the University of Utah mathematics department.

The Structure of Everything

Marc Kaufman:

Did you know that 365 -- the number of days in a year -- is equal to 10 times 10, plus 11 times 11, plus 12 times 12?

Or that the sum of any successive odd numbers always equals a square number -- as in 1 + 3 = 4 (2 squared), while 1 + 3 + 5 = 9 (3 squared), and 1 + 3 + 5 + 7 = 16 (4 squared)?

Those are just the start of a remarkable number of magical patterns, coincidences and constants in mathematics. No wonder philosophers and mathematicians have been arguing for centuries over whether math is a system that humans invented or a cosmic -- possibly divine -- order that we simply discovered. That's the fundamental question Mario Livio probes in his engrossing book Is God a Mathematician?

Livio, an astrophysicist at the Hubble Space Telescope Science Institute in Baltimore, explains the invention-vs.-discovery debate largely through the work and personalities of great figures in math history, from Pythagoras and Plato to Isaac Newton, Bertrand Russell and Albert Einstein. At times, Livio's theorems, proofs and conundrums may be challenging for readers who struggled through algebra, but he makes most of this material not only comprehensible but downright intriguing. Often, he gives a relatively complex explanation of a mathematical problem or insight, then follows it with a "simply put" distillation.

An extended section on knot theory is, well, pretty knotty. But it ultimately sheds light on the workings of the DNA double helix, and Livio illustrates the theory with a concrete example: Two teams taking different approaches to the notoriously difficult problem of how many knots could be formed with a specific number of crossings -- in this case, 16 or fewer -- came up with the same answer: 1,701,936.

Madison Math Program Public Input Session

The Madison School District Administration held a public input session on the recent Math Task Force report [3.9MB PDF] last evening at Memorial High School. Superintendent Dan Nerad opened and closed the meeting, which featured about 56 attendees, at least half of whom appeared to be district teachers and staff. Math Coordinator Brian Sniff ran the meeting.

Task force member and UW-Madison Professor Mitchell Nathan [Clusty Search] was in attendance along with Terry Millar, a UW-Madison Professor who has been very involved in the Madison School District's math programs for many years. (Former Madison Superintendent Art Rainwater recently joined the UW-Madison Center for Education Research, among other appointments). UW-Madison Math professor Steffen Lempp attended as did school board President Arlene Silveira and board members Ed Hughes and Beth Moss. Jill Jokela, the parent representative on the Math Task Force, was also present.

Listen via this 30MB mp3 audio file. 5.5MB PDF Handout.

Related:

• Commentary
• Math Forum
• UW-Madison Math Faculty open Letter about the District's Math Coordinator position
• Madison West High School Math Faculty letter to Isthmus

Mathmetician The Best Job in the US; Madison Math Task Force Community Meetings Tonight & Tomorrow

Sarah Needleman:

Nineteen years ago, Jennifer Courter set out on a career path that has since provided her with a steady stream of lucrative, low-stress jobs. Now, her occupation -- mathematician -- has landed at the top spot on a new study ranking the best and worst jobs in the U.S.

"It's a lot more than just some boring subject that everybody has to take in school," says Ms. Courter, a research mathematician at mental images Inc., a maker of 3D-visualization software in San Francisco. "It's the science of problem-solving."

The study, to be released Tuesday from CareerCast.com, a new job site, evaluates 200 professions to determine the best and worst according to five criteria inherent to every job: environment, income, employment outlook, physical demands and stress. (CareerCast.com is published by Adicio Inc., in which Wall Street Journal owner News Corp. holds a minority stake.)

The findings were compiled by Les Krantz, author of "Jobs Rated Almanac," and are based on data from the U.S. Bureau of Labor Statistics and the Census Bureau, as well as studies from trade associations and Mr. Krantz's own expertise.

According to the study, mathematicians fared best in part because they typically work in favorable conditions -- indoors and in places free of toxic fumes or noise -- unlike those toward the bottom of the list like sewage-plant operator, painter and bricklayer. They also aren't expected to do any heavy lifting, crawling or crouching -- attributes associated with occupations such as firefighter, auto mechanic and plumber.

The study also considers pay, which was determined by measuring each job's median income and growth potential. Mathematicians' annual income was pegged at $94,160, but Ms. Courter, 38, says her salary exceeds that amount.

Related:

• The Madison School District is holding public meetings tonight (LaFollette High School) and tomorrow (Memorial High School) on the recent Math Task Force Report.
• Math Forum audio/video
• West High School Math Teachers Letter to Isthmus
• Madison and Wisconsin Math Data, 8th Grade by Richard Askey
• UW-Madison Math Faculty letter to the Madison School District
• Math report commentary by TJ Mertz, more here

Parents and citizens have another opportunity to provide input on this matter when Brian Sniff, Madison's Math Coordinator and Lisa Wachtel, Director of Madison's Teaching & Learning discuss the Math Report at a Cherokee Middle School PTO meeting on January 14, 2009 at 7:00p.m.

Madison School District seeks input on proposed math changes

Andy Hall:

A series of potentially controversial proposals will be outlined next week as residents are invited to help shape how math is taught in the Madison School District.

Among the recommendations from a task force that recently completed a one-year study:

• Switch to full-time math teachers for all students in grades five through eight.

• The math task force's executive summary and full report

• Substantially boost the training of math teachers.

• Seriously consider selecting a single textbook for each grade level or course in the district, rather than having a variety of textbooks used in schools across the district.

The task force was created in 2006 by the Madison School Board to independently review the district's math programs and seek ways to improve students' performance.

Related links:

• Math Forum
• UW-Madison Math Faculty open letter about the Madison School District's Math Coordinator position.
• West High School Math Teacher letter on curriculum

Judge Blocks California's 8th Grade Algebra Plans

Samantha Young:

A judge on Friday blocked a plan to make California the first state in the nation to require algebra testing for all eighth-graders.

The ruling sidelines an ambitious mandate approved by the state Board of Education in July after Gov. Arnold Schwarzenegger recommended it over the concerns of California's school superintendent and education groups.

The board pushed through the effort in order for the state to meet federal testing requirements or face losing up to $4.1 million in funding. The mandate would have affected students in the 2011-12 school year.

But the California School Boards Association and the Association of California School Administrators sued in September to overturn the requirement. They questioned whether the state had the money, staff and training to comply with the state board's decision.

Milwaukee Schools Likely to Require more Math & Science

Alan Borsuk:

Three years of math, three years of science - start getting ready, all you sixth-graders in Milwaukee Public Schools.

A School Board committee voted 3-0 Monday night to increase the requirements for graduating from MPS from two years each of math and science to three, effective with the class of 2014-'15, members of which are currently sixth-graders.

In addition, students would need to complete a half-year's worth of either an online course, community service or a service-learning project.

The proposal will go to the full board tonight and is expected to be approved.

TIMSS-07 comment

In the comments on TIMSS-07 math scores, one important aspect
has not been mentioned.



Grade 8	US	Minn.	Korea	Singapore
Number	510	537	583	597
Algebra	501	515	596	579
Geometry	480	505	587	578
Data and Chance	531	560	580	574

Korea and Singapore have balanced scores, the US and Minnesota do not. The first three areas are the core areas of mathematics on which otherthings are built. We have to improve on them.

Dick Askey

John Hechinger has more:

U.S. fourth- and eighth-graders improved their math scores in a closely watched international test, but continued to lag well behind peers from top-performing Asian countries. U.S. students also failed to show measurable gains in science.

The U.S. and other governments on Tuesday released the results of the test, Trends in International Mathematics and Science Study, the world's largest assessment of international achievement. Some 425,000 students in almost 60 countries took the exam, administered every four years, starting in 1995.

Ira David Socol on Teach for America, KIPP Schools, and Reforming Education

Thomas:

Today we present readers an in-depth interview with Ira David Socol, author of "The Drool Room" and the web site "SpeEdChange." Our interest in talking with Ira centered upon three critical factors.

First, there is little doubt that Ira is passionate about education and the process of learning. More importantly, that passion is relentlessly focused on creating a learning process that is responsive to the needs of learners.

Second, to be frank, Ira shares some of our views on how best to reform education. He notes that there are a multitude of ways to create positive learning opportunities for students but our current school structures prevent the flexibility necessary to provide alternate paths. Like OpenEducation.net, he is also a strong proponent of the use of technology yet does not buy into the "digital natives" nonsense.

Informational and Community Discussion Sessions on the Madison Mathematics Task Force

Date: January 6th, 2009 Time: 6:00 - 8:00 pm Where: LaFollette High School - LMC

Date: January 7th, 2009 Time: 6:00 - 8:00 pm Where: Memorial High School - Wisconsin Neighborhood Center

You are cordially invited to attend an information session and discussion about the findings and recommendations of the Math Task Force which recently completed a review of the MMSD K-12 Mathematics program. Please also share this information with others who may be interested in attending.

At each session, there will be a brief informational presentation followed by an opportunity for discussion. The Executive Summary and complete Task Force Report can be found at http://www.madison.k12.wi.us/boe/math/.

We are looking forward to sharing this information with you and learning about your reactions to the research and recommendations included in the report. Your thoughts are important to us as we work to improve the MMSD K-12 Mathematics program.

Questions/comments? Please contact Brian Sniff at bsniff@madison.k12.wi.us

Looking forward to seeing you on January 6th or 7th.

Scores on Science Test Causing Concern in U.S.

Maria Glod:

U.S. students are doing no better on an international science exam than they were in the mid-1990s, a performance plateau that leaves educators and policymakers worried about how schools are preparing students to compete in an increasingly global economy.

Results of the Trends in International Mathematics and Science Study (TIMSS), released yesterday, show how fourth- and eighth-graders in the United States measure up to peers around the world. U.S. students showed gains in math in both grades. But average science performance, although still stronger than in many countries, has stagnated since 1995.

Students in Singapore, Taiwan, Japan and Hong Kong outperformed U.S. fourth-graders in science. The U.S. students had an average score of 539 on a 1,000-point scale, higher than their peers in 25 countries.

Math Task Force Feedback Sessions Slated for January

Last year the MMSD School Board appointed a committee to look at the math curriculum in the district. The task force recently presented their findings to the School Board. We accepted their report and referred it to the Superintendent for recommendations. The next step in the process is a community input session.

Sessions were originally scheduled for December 8 and 9. Those sessions have been postponed until January in order to better publicize the sessions and avoid conflicts with holiday-season events. The dates have not yet been selected, and I will post the dates, places, and times when they have been confirmed.

If you want to comment directly on the math curriculum/task force recommendations, you can send e-mail comments@madison.k12.wi.us or post here. I'll make sure the Superintendent receives your feedback.

"Rice Paddies and Math Tests"

Malcolm Gladwell, Outliers
New York: Little, Brown, 2008, pp. 247-249
"Rice Paddies and Math Tests"

Every four years, an international group of educators administers a comprehensive mathematics and science test to elementary and junior high students around the world. It's the TIMSS...and the point of the TIMSS is to compare the educational achievement of one country with another's.

When students sit down to take the TIMSS exam, they also have to fill out a questionnaire. It asks them all kinds of questions, such as what their parents' level of education is, and what their views about math are, and what their friends are like. It's not a trivial exercise. It's about 120 questions long. In fact, it is so tedious and demanding that many students leave as many as ten or twenty questions blank.

Now, here's the interesting part. As it turns out, the average number of items answered on that questionnaire varies from country to country. It is possible, in fact, to rank all the participating countries according to how many items their students answer on the questionnaire. Now, what do you think happens if you compare the questionnaire rankings with the math rankings on the TIMSS? They are exactly the same. In other words, countries whose students are willing to concentrate and sit still long enough to focus on answering every single question in an endless questionnaire are the same countries whose students do the best job of solving math problems.

The person who discovered this fact is an educational researcher at the University of Pennsylvania named Erling Boe, and he stumbled across it by accident. "It came out of the blue," he says. Boe hasn't even been able to publish his findings in a scientific journal, because, he says, it's just a bit too weird. Remember, he's not saying that the ability to finish the questionnaire and the ability to excel on the math test are related. He's saying that they are the same: if you compare the two rankings, they are identical.

Think about this another way. Imagine that every year, there was a Math Olympics in some fabulous city in the world. And every country in the world sent its own team of one thousand eighth graders. Boe's point is that we could predict precisely the order in which every country would finish in the Math Olympics without asking a single math question. All we would have to do is give them some task measuring how hard they were willing to work. In fact, we wouldn't even have to give them a task. We should be able to predict which countries are best at math simply by looking at which national cultures place the highest emphasis on effort and hard work.

So, which places are at the top of both lists? The answer shouldn't surprise you: Singapore, South Korea, China (Taiwan), Hong Kong, and Japan. [Mainland China doesn't yet take part in the TIMSS study.] What those five have in common, of course, is that they are all cultures shaped by the tradition of wet-rice agriculture and meaningful work. They are the kind of places where, for hundreds of years, penniless peasants, slaving away in the rice paddies three thousand hours a year, said things to one another like "No one who can rise before dawn three hundred and sixty days a year fails to make his family rich."

Community Forum - Math Task Force Recommendations

There will be 2 forums to receive community feedback on the Math Task Force report/recommendations.

* Monday, December 8 - 6:00-8:00pm at Memorial High School
* Tuesday, December 9 - 6:00-8:00pm at La Follette High School

There will be a brief presentation on the task force recommendations, followed by a break-out session for community feedback and comments.

The Superintendent will use the feedback and comments in developing his recommendations for the Board.

As a reminder, the Math Task Force info can be found at http://www.mmsd.org/boe/math/

Thank you.

Arlene

Study: Math teachers a chapter ahead of students

Libby Quaid:

Math can be hard enough, but imagine the difficulty when a teacher is just one chapter ahead of the students. It happens, and it happens more often to poor and minority students. Those children are about twice as likely to have math teachers who don't know their subject, according to a report by the Education Trust, a children's advocacy group.

Studies show the connection between teachers' knowledge and student achievement is particularly strong in math.

"Individual teachers matter a tremendous amount in how much students learn," said Ross Wiener, who oversees policy issues at the organization.

The report looked at teachers with neither an academic major nor certification in the subjects they teach.

Among the findings, which were based on Education Department data:
_In high-poverty schools, two in five math classes have teachers without a college major or certification in math.

_In schools with a greater share of African-American and Latino children, nearly one in three math classes is taught by such a teacher.

Math is important because it is considered a "gateway" course, one that leads to greater success in college and the workplace. Kids who finish Algebra II in high school are more likely to get bachelor's degrees. And people with bachelor's degrees earn substantially more than those with high school diplomas.

Schools of Hope project aims to improve Madison students' algebra performance

Andy Hall:

Three weeks after its launch, the program at La Follette is operating smoothly, according to officials and students at the school.

Joe Gothard, who is in his second year as La Follette principal, said he sought to bring the tutoring program to the school to involve the community in raising achievement levels.

"We're not going to settle for our students of color to be unsuccessful," Gothard said.

Over the past several years, the school's African American students have been less likely than their peers to complete algebra by 10th grade, although in some years the rate still exceeds the overall average for African American students in the Madison School District.

Gothard is troubled by the patterns on another measure of student achievement, the Wisconsin Knowledge and Concepts Examination, which show that the proportion of 10th graders demonstrating math proficiency ranks lower at La Follette than at any other major high school in Dane County. Just 53 percent of La Follette students received ratings of proficient or advanced on the test, compared to 65 percent in the district and 69 percent in the state.

"Initially there's that burning in your stomach," Gothard said, describing his reaction to such data, which was followed by a vow: "We are not going to accept going anywhere but up."

Va. Math Standards' Bar Might Be Raised

Michael Birnbaum:

Kindergartners would be expected to be able to count to 100, not just to 30. Perimeter and area would be introduced and explored in third grade, instead of in second grade.

Those are among many proposed revisions to Virginia's math standards that are part of a national movement to strengthen and streamline math education to prepare all students to learn algebra and higher concepts.

The standards prescribe in detail concepts students are expected to learn in each grade, and the state verifies whether those expectations are met each year through the Standards of Learning tests. Now the standards are being revised for the second time since their introduction in 1995.

Community Input on Math Task Force Recommendations - SAVE THE DATES!

Hi - there will be 2 community input forums to gather input from the community on the recommendations of the Math Task Force. The report of the MTF can be found at:

http://www.mmsd.org/boe/math/

The forums are scheduled for:

Monday, December 8 from 6:00-8:00pm at Memorial High School

Tuesday, December 9 from 6:00-8:00pm at LaFollette High School

I am not sure of the format yet but know this is a busy time of year so wanted to give you an opportunity to mark your calendars if you plan on attending on of the forums. I'll send more information when available.

Arlene

Madison Business Employees Help Tutor Students; Local Reading Scores

Channel3000:

Years after graduation, he's hearing the ring of the school bell at Sherman Middle School on Madison's north side.

"I've had an effect on a number of the kids' math scores," said Schmidt, 44, whose background is in computer software design. "I know they're doing better because they tell me they're doing better."

He said that he isn't happy to take the credit, which is something that almost has to be pulled out of him. But the five students who he tutors weekly in math as part of the "Schools of Hope" tutoring program sing his praises when he's out of the room.
"Monty's awesome," said seventh-grader Henrietta Allison.

"They know that when he comes in on Monday, he's going to be asking, 'Did you do your homework? What are you missing?'" said teacher Chrissy Mitlyng. "They expect that, and I think that's a really good relationship to have."

Teachers report that students who work with the tutors are more confident after their sessions, and are more likely to speak up in class and participate in group work. While classroom confidence might be the most notable impact, it trickles down to fill the racial achievement gap the program was designed to help close, WISC-TV reported.

In 1995, 28.5 percent of black students in the Madison Metropolitan School District tested below the minimal standard on the third grade reading test, along with 9.7 percent of Latino students, 24.2 percent of Asian students and 4.1 percent of white students.

Related: When all third graders read at grade level or beyond by the end of the year, the achievement gap will be closed...and not before:

On November 7, Superintendent Art Rainwater made his annual report to the Board of Education on progress toward meeting the district's student achievement goal in reading. As he did last fall, the superintendent made some interesting claims about the district's success in closing the academic achievement gap "based on race".

According to Mr. Rainwater, the place to look for evidence of a closing achievement gap is the comparison of the percentage of African American third graders who score at the lowest level of performance on statewide tests and the percentage of other racial groups scoring at that level. He says that, after accounting for income differences, there is no gap associated with race at the lowest level of achievement in reading. He made the same claim last year, telling the Wisconsin State Journal on September 24, 2004, "for those kids for whom an ability to read would prevent them from being successful, we've reduced that percentage very substantially, and basically, for all practical purposes, closed the gap". Last Monday, he stated that the gap between percentages scoring at the lowest level "is the original gap" that the board set out to close.

Unfortunately, that is not the achievement gap that the board aimed to close.

......

What the superintendent is saying is that MMSD has closed the achievement gap associated with race now that roughly the same percentage of students in each subgroup score at the minimal level (limited achievement in reading, major misconceptions or gaps in knowledge and skills of reading). That's far from the original goal of the board. We committed to helping all students complete the 3rd grade able to read at or beyond grade level as demonstrated by all students in all subgroups scoring at proficient or advanced reading levels on the WRCT.

More here and here.

Start-Up Teaches Math to Americans, Indian-Style

Claire Cain Miller

The New York Times recently reported on a study that found, once again, that the United States is failing to develop the math skills of its students, particularly girls, especially compared to other countries where math education is more highly valued.

Indian Math Online is a start-up that aims to take on that disparity by teaching math to American kids using techniques from Indian schools.

Bob Compton, an Indianapolis-based venture capitalist and entrepreneur who co-founded Indian Math Online, hatched the idea when he was producing Two Million Minutes, a documentary comparing high school education in India, China and the United States. He realized that Indian teenagers who were the same age as his daughters were three years ahead of them in math.

"If you don't get mathematics to th