Curriculum – Math – Page 6 – School Information System

Mathmetician The Best Job in the US; Madison Math Task Force Community Meetings Tonight & Tomorrow

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.

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.

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.

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 the highest level you possibly can in high school, your career options shrink dramatically in the 21st century,” Mr. Compton said. “Our society basically tells girls they’re not good at math. I was determined that was not going to happen to my daughters.”

A Letter to Jay Matthews

To Jay Matthews:
Let me suggest that Gerald Bracey is not an appropriate person to quote when dealing with mathematics education. First, it was TIMSS in 1995 rather than 1999 when students in the last year of high school were tested. Second, while some of our students who took the advanced math test had only had precalculus, all of them had studied geometry and we did worse in geometry than we did in calculus. Bracey never mentions this. Check the figures yourself to see the disastrous results in geometry.
We had 14% of our students take this test so the fact that some other countries did not test students in vocational tracts is irrelevant since they have a much larger fraction of their students in academic programs than 14%, as we do. About the ETS restudy, while they claim that the original sample was not comparable with other countries, their population was also not comparable with that of other countries. When you take the top say 7% of our students, judged by the courses they take which is not a perfect match but
not bad, and compare them with the top say 20% of the students in another country, that is not the same as comparing them with the top 7% in another country. ETS never mentions this in their press releases on this study.
Richard Askey

Incentives Can Make Or Break Students

Bill Turque:

The inducements range from prepaid cellphones to MP3 players to gift certificates. But most of them are cash: $10 for New York City seventh-graders who complete a periodic test; $50 for Chicago high school freshmen who ace their courses; as much as $110 to Baltimore students for improved scores on the Maryland High School Assessments.
Desperate for ways to ratchet up test scores and close the achievement gap separating white and minority students, school officials from Tucson to Boston are paying kids who put up good numbers.
The District joined the list this fall, launching a one-year study of 3,300 middle schoolers who can earn up to $100 every two weeks for good grades, behavior and attendance. On Oct. 17, the first payday for the Capital Gains program, students collected an average of $43.
The efforts vary widely in scope and objective. But nearly all trigger pa

Beautiful Math

NOVA:

NARRATOR: You can find it in the rain forest, on the frontiers of medical research, in the movies, and it’s all over the world of wireless communications. One of nature’s biggest design secrets has finally been revealed.
GEOFFREY WEST (Santa Fe Institute): My god, of course. It’s obvious.
NARRATOR: It’s an odd-looking shape you may never have heard of, but it’s everywhere around you: the jagged repeating form called a fractal.
JAMES BROWN (University of New Mexico): They’re all over in biology. They’re solutions that natural selection has come up with over and over and over again.
NARRATOR: Fractals are in our lungs, kidneys and blood vessels.
KEITH DEVLIN (Stanford University): Flowers, plants, weather systems, the rhythms of the heart, the very essences of life.
NARRATOR: But it took a maverick mathematician to figure out how they work.
BENOIT MANDELBROT (Yale University): I don’t play with formulas, I play with pictures. And that is what I’ve been doing all my life.

John Tierney has more.

Counting on the Future: International Benchmarks in Mathematics for American School Districts

Dr. Gary W. Phillips & John A. Dossey [2.5MB PDF Report]:

Students in six major U.S. cities are performing on par or better in mathematics than their peers in other countries in grades 4 and 8, according to a new study by the American Institutes for Research (AIR). However, students from five other major cities are not faring as well, and overall, U.S. student performance in mathematics falls off from elementary to middle school grades — and remains behind many industrialized nations, particularly Asian nations.
The AIR study offers the first comparison between students from large U.S. cities and their international peers. The study compares U.S. 4th grade students with their counterparts in 24 countries and 8th grade students with peers in 45 countries.
“Globalization is not something we can hold off or turn off…it is the economic equivalent of a force of nature… like the wind and water” (Bill Clinton)
If you are a student today competing for jobs in a global economy, the good jobs will not go to the best in your graduating class–the jobs will go to the best students in the world. Large urban cities are intimately connected to the nations of the world. Large corporations locate their businesses in U.S. cities; foreign students attend U.S. schools; and U.S. businesses export goods and services to foreign nations. Large urban cities need to know how their students stack up against peers in the nations with which the U.S. does business. This is especially important for students in the fields of science, technology, engineering, and mathematics. The students in these fields will allow our future generation to remain technologically innovative and economically competitive.
This report provides a comparison of the number of mathematically Proficient students in Grades 4 and 8 in 11 large cities in the United States with their international peers.
This comparison is made possible by statistically linking the National Assessment of Educational Progress (NAEP) in 2003 and the Trends in International Mathematics and Science Study (TIMSS) in 2003 when both assessments were conducted in the United States in the same year and in the same grades.
After the statistical linking was completed, it was possible to compare the most recent NAEP results (from 2007) to the most recent TIMSS results (from 2003). How the United States compares to the overall international average.
At Grade 4, five countries (Singapore, Hong Kong SAR, Chinese Taipei, Japan, and the Flemish portion of Belgium) performed significantly better than the United States (Figure 1). However, the United States (at 39% proficiency) performed better than the international average (27% proficiency) of all 24 countries (Figure 13).
At Grade 8, eight countries (Singapore, Hong Kong SAR, Republic of Korea, Chinese Taipei, Japan, Belgium (Flemish), Netherlands, and Hungary) performed significantly better than the United States (Figure 1). However, the United States (at 31% proficiency) performed better than the international average (21% proficiency) of all 44 countries (Figure 14).
….
Because of the persistent requests of urban school districts, the U .S . Congress authorized NAEP to assess, on a trial basis, six large urban school districts beginning in 2002 . Since then, more districts have been added, resulting in 11 school districts in 2007 (and plans are underway to include even more districts in the future) . The urban school chiefs in these 11 large school districts, which voluntarily participated in the 2007 NAEP, recognized the global nature of educational expectations and the importance of having reliable external data against which to judge the performance of their students and to hold themselves accountable . They should be commended for their visionary goal of trying to benchmark their local performance against tough national standards. National standards provide a broad context and an external compass with which to steer educational policy to benefit local systems . The purpose of this report is to further help those systems navigate by providing international benchmarks.

Clusty Search: Gary W. Phillips and John A. Dossey.
Greg Toppo has more:

Even if the findings are less-than-stellar, he says, they should help local officials focus on improving results.
“In that sense, I think it could be a very positive thing to use in-house, in the district, to keep their nose to the grindstone,” says Kepner, a former middle- and high-school math teacher in Iowa and Wisconsin.”If they can show they’re improving, they might be able to attract more companies to a system that’s on the move.”
Phillips says the findings prove that in other countries “it is possible to do well and learn considerably under a lot of varied circumstances — in other words, being low-income is not really an excuse when you look around the rest of the world.”

Math Forum audio & video.

Doggie Biscuit for Kohn: Author rips testing, other sacred classroom concepts

By Lisa Schencker:

Rising test scores are no reason to celebrate, author Alfie Kohn told teachers at the Utah Education Association (UEA) convention on Friday.
Schools that improve test scores do so at the expense of other subjects and ideas, he said.
“When the scores go up, it’s not just meaningless. It’s worrisome,” Kohn told hundreds of educators on the last day of the convention. “What did you sacrifice from my child’s education to raise scores on the test?”
Kohn, who’s written 11 books on human behavior, parenting and schools, spent nearly two hours Friday morning ripping into both established and relatively new education concepts. He slammed merit pay for teachers, competition in schools, Advanced Placement classes, curriculum standards and testing–including Utah’s standards and testing system — drawing mixed reactions from his audience.
“Considering what we hear a lot, it was pure blasphemy,” said Richard Heath, a teacher at Central Davis Junior High School in Layton.
Kohn called merit pay–forms of which many Utah school districts are implementing this year–an “odious” type of control imposed on teachers.
“If you jump through hoops, we’ll give you a doggie biscuit in the form of money,” Kohn said.

(more…)

The End of French Math Supremacy?

The Economist:

The purity of mathematics loses its prestige
FRANCE may think of itself as a literary society, but real prestige is reserved for mathematics. Excellence in maths determines access to the elite, via ultra-selective grandes écoles such as the École Nationale d’Administration or the Polytechnique. More French mathematicians have won the Fields Medal, a top international prize, than those from any other European country. Top maths graduates working in French banks have pioneered some of the market’s most complex equity derivatives. So there has been some head-scratching at the idea that Xavier Darcos, the education minister, is now considering an end to the pre-eminence of maths in the baccalauréat school-leaving exam.

Problems Without Figures For Fourth to Eighth Grade

A Math book for “High Schools and Normal Schools by S.Y. Gillan [9.6MB PDF]:

Arithmetic can be so taught as to make the pupil familiar with thc fact that we may use a number in a problem without knowing what particular number it is. Some of the fundamentals of algebra may thus be taught along with arithmetic. But, as a rule, whenever any attempt is made to do this the work soon develops or degenerates into formal algebra, with a full quota of symbolism, generalization and formulae — matter which is not wholesome pabulum for a child’s mind and the result has been that teachers have given up the effort and have returned to the use of standardized knowledge put up in separate packages like baled hay, one bale labeled “arithmetic,” another “algebra,” etc.
Every problem in arithmetic calls for two distinct and widely different kinds of work: first, the solution, which involves a comprehension of the conditions of the problem and their relation to one another; second, the operation. First we
decide what to do; this requires reasoning. Then we do the work; this is a merely mechanical process, and the more mechanical the better. A calculating machine, too stupid to make a mistake, will do the work more accurately than a
skillful accountant. Adding, subtracting, multiplying and dividing do not train the power to reason, but deciding in a given set of conditions which of these operations to use and why, is the feature of arithmetic which requires reasoning.
The problems offered here will furnish material to promote thinking; and a few minutes daily used in this kind of work will greatly strengthen the pupils’ power to deal with the problems given in the textbook.
After consultation with teachers, the author decided to print the problems without regard to classification. They range all the way from very simple work suitable for beginners up to a standard adapted to the needs of eighth grade pupils. As a review in high school and normal school classes the problems may be taken in order as they come, and will be found Interesting and stimulating. For pupils in the grades, the teacher will Indicate which ones to omit; this discrimination will be a valuable exercise for the teacher.
A few “catch problems” are put in to entrap the unwary. To stumble occasionally into a pitfall makes a pupil more watchful of his steps and gives invigorating exercise in regaining his footing. The groove runner thus learns to use his wits and see the difference between a legitimate problem and an absurdity.
It is recommended that these exercises be used as sight work, the pupils having the book in hand and the teacher designating the problems to be solved without previous preparation.
S. Y. GILLAN.
Milwaukee, Wisconsin, May 21, 1910.

Many thanks to Dick Askey for providing a copy (the!) of this book.
From the book:

To answer in good, concise English, affords an excellent drill in clear thinking and accurate expression. This one is suitable for high school, normal school and university students, some of whom will flounder in a most ludicrous fashion when they first attempt to give a clear-cut answer conforming to the demands of mathematics and good English.
224. After a certain battle the surgeon sawed off several wagon loads of legs. If you are told the number of legs in each load and the .price of a cork leg, how can you find the expense of supplying these men with artificial legs? Writeout a list of twenty other expense items incurred in the fighting of a battle.
225. The American people spend each year for war much more than for education. If you know the total amount spent for each purpose, how can you find the per capita expense for war and for schools?
227. A boy travels from Boston to Seattle in a week. Every day at noon he meets a mail train going east on which he mails a letter to his mother in Boston. If there is no delay, how frequently should she receive his letters?

Amusing, but Not Funny

Bob Herbert:

Sara Rimer of The Times wrote an article last week that gave us a startling glimpse of just how mindless and self-destructive the U.S. is becoming.
Consider the lead paragraph:
“The United States is failing to develop the math skills of both girls and boys, especially among those who could excel at the highest levels, a new study asserts, and girls who do succeed in the field are almost all immigrants or the daughters of immigrants from countries where mathematics is more highly valued.”
The idea that the U.S. won’t even properly develop the skills of young people who could perform at the highest intellectual levels is breathtaking — breathtakingly stupid, that is.
The authors of the study, published in Notices of the American Mathematical Society, concluded that American culture does not value talent in math very highly. I suppose we’re busy with other things, like text-messaging while jay-walking. The math thing is seen as something for Asians and nerds.

Related: Math Forum.

On College Level Math in High School

Valerie Strauss:

For Gifted Few, Moving Beyond Calculus
It would be hard to find a more advanced math class in public schools than the one Robert Sachs teaches at Thomas Jefferson High School for Science and Technology.
That’s because it isn’t really high school math.
Complex Variables is usually taught to college juniors and seniors. It is offered at selective Thomas Jefferson in Fairfax County because students demand the challenge.
“This class is pretty difficult,” said Bobbie Pelham Webb, 17, a senior. “It is one of the first math classes that is challenging to me. Calculus was easy.”

Janet Mertz Study: Math Skills Suffer in US, Study Finds

Carolyn Johnson:

It’s been nearly four years since Lawrence Summers, then president of Harvard University, made his controversial comments about the source of the gender gap in math and science careers. Still, the ripple effect continues – most recently in a study made public today on the world’s top female math competitors.
The study, to be published in next month’s Notices of the American Mathematical Society, identifies women of extraordinary math ability by sifting through the winners of the world’s most elite math competitions. It found that small nations that nurtured female mathematicians often produced more top competitors than far larger and wealthier nations.
The message: Cultural or environmental factors, not intellect, are what really limit women’s math achievements.

Sara Rimer:

The United States is failing to develop the math skills of both girls and boys, especially among those who could excel at the highest levels, a new study asserts, and girls who do succeed in the field are almost all immigrants or the daughters of immigrants from countries where mathematics is more highly valued.
The study suggests that while many girls have exceptional talent in math — the talent to become top math researchers, scientists and engineers — they are rarely identified in the United States. A major reason, according to the study, is that American culture does not highly value talent in math, and so discourages girls — and boys, for that matter — from excelling in the field. The study will be published Friday in Notices of the American Mathematical Society.
“We’re living in a culture that is telling girls you can’t do math — that’s telling everybody that only Asians and nerds do math,” said the study’s lead author, Janet E. Mertz, an oncology professor at the University of Wisconsin, whose son is a winner of what is viewed as the world’s most-demanding math competitions. “Kids in high school, where social interactions are really important, think, ‘If I’m not an Asian or a nerd, I’d better not be on the math team.’ Kids are self selecting. For social reasons they’re not even trying.”
Many studies have examined and debated gender differences and math, but most rely on the results of the SAT and other standardized tests, Dr. Mertz and many mathematicians say. But those tests were never intended to measure the dazzling creativity, insight and reasoning skills required to solve math problems at the highest levels, Dr. Mertz and others say.
Dr. Mertz asserts that the new study is the first to examine data from the most difficult math competitions for young people, including the USA and International Mathematical Olympiads for high school students, and the Putnam Mathematical Competition for college undergraduates. For winners of these competitions, the Michael Phelpses and Kobe Bryants of math, getting an 800 on the math SAT is routine. The study found that many students from the United States in these competitions are immigrants or children of immigrants from countries where education in mathematics is prized and mathematical talent is thought to be widely distributed and able to be cultivated through hard work and persistence.

Complete report 650K PDF.
Related: Math Forum.
Much more on Janet Mertz here.

What Do College Students Know? By this professor’s calculations, math skills have plummeted

Stephen Wilson:

Professors are constantly asked if their students are better or worse today than in the past. I conducted an experiment to try to answer that question for one group of students.
For my fall 2006 course, Calculus I for the Biological and Social Sciences at Johns Hopkins University (JHU), I administered the same final exam I had used for the course in the fall of 1989. The SAT mathematics (SATM) scores of the two classes were nearly identical, and the classes contained approximately the same percentage of the Arts and Sciences freshman class.
The content of the calculus I course had not changed and, from a math standpoint, using the old exam was completely appropriate.
The average exam score for my 2006 calculus I class was significantly lower than for my 1989 class. Comparing the effects of scaling in the two years reveals the extent of the decline. In my 1989 class, 27 percent of students received As on the test and 23 percent Bs. When I graded my 2006 class on my 2006 scale, 32 percent received As and 37 percent Bs. But if I instead graded my 2006 class on the 1989 scale, only 6 percent would have received As and 21 percent Bs. If I graded the 1989 class on the 2006 scale, 52 percent would have received As and 26 percent Bs.
Why did my 2006 class perform so poorly? With the proliferation of AP calculus in high school, one might think that the good students of 2006 place out of calculus I more frequently than did their 1989 counterparts. However, in 1989, 30 percent of the Arts and Sciences freshmen either took the harder engineering calculus course or a higher level mathematics course (calculus II or III, linear algebra, or differential equations). The percentage in 2006 is only 24 percent.

No Common Denominator: The Preparation of Elementary Teachers in Mathematics by America’s Education Schools

Julie Greenberg and Kate Walsh, National Council on Teacher Quality1.5MB PDF:

American students’ chronically poor performance in mathematics on international tests may begin in the earliest grades, handicapped by the weak knowledge of mathematics of their own elementary teachers. NCTQ looks at the quality of preparation provided by a representative sampling of institutions in nearly every state. We also provide a test developed by leading mathematicians which assesses for the knowledge that elementary teachers should acquire during their preparation. Imagine the implications of an elementary teaching force being able to pass this test.

American Math Chuckleheads

Rich Karlgaard:

I got an e-mail titled “An Angry American With An Idea.” This e-mail must have gone viral, because I received it a half-dozen times. You probably got it too. Here is what it said:

“I’m against the $85,000,000,000 bailout of AIG. Instead, I’m in favor of giving $85,000,000,000 to America in a ‘We Deserve It Dividend.’ To make the math simple, let’s assume there are 200,000,000 bona fide U.S. Citizens 18+. Our population is about 301,000,000 +/-, counting every man, woman and child. So 200,000,000 might be a fair stab at adults 18 and up. So divide 200 million adults 18+ into $85 billion. That equals $425,000. My plan is to give $425,000 to every person 18+ as a ‘We Deserve It Dividend.’ “

The letter goes on and describes the many wonderful things that could happen in America if each adult had an extra $425,000.
Now the funny part. Friends and colleagues–they shall remain anonymous–who passed this e-mail along would append a note: “You should read this.” “This actually makes sense.”
Not once did anyone point out the Angry American’s wee calculation flaw. Eighty-five billion dollars divided by 200 million people is $425, not $425,000.

Buffett’s Chinese Investment: Seeking Engineers

Keith Bradsher:

MidAmerican also sees promise in BYD’s battery technologies for storing wind energy and solar energy, Mr. Sokol said. Difficulties in storing energy for when the wind is not blowing or the sun is not shining have limited the deployment of these renewable energy technologies.
More broadly, Berkshire Hathaway wants to tap into China’s engineering talent and is doing so through BYD, which has 11,000 engineers and technicians among its 130,000 employees.
Mr. Buffett did not attend the news conference, but said in a statement that he was impressed with Mr. Wang’s record as a manager.

India’s Cram-School Confidential: Two Years, One Test, 40,000 Students

Eric Bellman:

Town Fills With Teens Studying Full-Time For a College Entrance Exam; ‘Bansalites Rock’
KOTA, India — Hoping to boost his chances of getting into a top college, Rohit Agarwal quit his high school and left home.
The 16-year-old moved from the far northeast corner of India in June, with two suitcases and a shoulder bag. He took a two-hour flight and a six-hour train ride to the dusty town of Kota, India’s cram-school capital.
More than 40,000 students show up in the arid state of Rajasthan every year, looking to attend one of the 100-plus coaching schools here. These intensive programs, which are separate from regular high school, prepare students for college-entrance exams. In Kota, most of the schools focus on the prestigious Indian Institutes of Technology.
The seven IITs nationwide are statistically tougher to get into than Harvard or Cambridge. While around 310,000 students took the entrance exam this April, only the top 8,600 were accepted. A whopping one-third of those winners in the current academic year passed through Kota’s cramming regimen.

DCPAC Dan Nerad Meeting Summary

A video tape of the entire presentation and discussion with Dr. Nerad may be viewed by visiting this internet link: https://www.schoolinfosystem.org/archives/2008/09/ madison_superin_10.php

Dan Nerad opened his remarks by stating his commitment to efforts for always continuing change and improvement with the engagement of the community. He outlined four areas of focus on where we are going from here.

Funding: must balance district needs and taxpayer needs. He mentioned the referendum to help keep current programs in place and it will not include “new” things.
Strategic Plan: this initiative will formally begin in January 2009 and will involve a large community group process to develop as an ongoing activity.
Meet people: going throughout the community to meet people on their own terms. He will carefully listen. He also has ideas.
Teaching and learning mission: there are notable achievement gaps we need to face head-on. The “achievement gap” is serious. The broader mission not only includes workforce development but also helping students learn to be better people. We have a “tale of two school districts” – numbers of high achievers (including National Merit Scholars), but not doing well with a lot of other students. Low income and minority students are furtherest away from standards that must be met. Need to be more transparent with the journey to fix this problem and where we are not good. Must have the help of the community. The focus must be to improve learning for ALL kids, it is a “both/and” proposition with a need to reframe the issue to help all kids move forward from where they are. Must use best practices in contemporary assessment, curriculum, pedagogy and instructional methods.

Dr. Nerad discussed five areas about which he sees a need for community-wide conversations for how to meet needs in the district.

Early learning opportunities: for pre-kindergarten children. A total community commitment is needed to prevent the ‘achievement gap’ from widening.
High schools: How do we want high schools to be? Need to be more responsive. The curriculum needs to be more career oriented. Need to break down the ‘silos’ between high school, tech schools and colleges. Need to help students move through the opportunities differently. The Small Learning Communities Grant recently awarded to the district for high schools and with the help of the community will aid the processes for changes in the high schools.
School safety: there must be an on-going commitment for changes. Nerad cited three areas for change:

a. A stronger curriculum helping people relate with other people, their differences and conflicts.

b. A response system to safety. Schools must be the safest of sanctuaries for living, learning and development.

c.Must make better use of research-based technology that makes sense.
Math curriculum and instruction: Cited the recent Math Task Force Report

a. Good news: several recommendations for curriculum, instruction and policies for change.

b. Bad news: our students take less math than other urban schools in the state; there are notable differences in the achievement gap.

Fine Arts: Cited recent Fine Arts Task Force Report. Fine arts curriculum and activities in the schools, once a strength, has been whittled away due to budget constraints. We must deal with the ‘hands of the clock’ going forward and develop a closer integration of the schools and community in this area.

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Kiselev’s Geometry: Book II, Stereometry

Alexander Givental, via email:

The Stereometry book adapted from Russian by A. Givental is the second part of the legendary Kiselev’s Geometry. It first appeared in 1892 as a second half of a single textbook and, for a long time, the two co-existed between the same covers. Indeed, the idea of a plane was introduced on page 1 while the last chapter of the book (that followed the stereometry part) was devoted to the geometric constructions in two dimensions. Kiselev’s Geometry has demonstrated an unusual staying power, being in an uninterrupted circulation for a good part of a century. (For the historic outline, see the review of the first part.) As a matter of fact, the first part of the book met with stiffer competition so that, while its rule was weakened in the 1960s, the second part reigned in the textbook market well into the 1970s.
The combined 1980 edition came out under the title Elementary Geometry for teacher colleges with a Foreward by A. N. Tikhonov who observed, albeit with some reservations, that the pedagogical mastery with which the book was written, the simplicity and consistency of the exposition, kept the book from becoming obsolete.

California’s new 8th-grade algebra rule gets some poor marks

Howard Blume:

The new state policy of requiring algebra in the eighth grade will set up unprepared students for failure while holding back others with solid math skills, a new report has concluded.
These predictions, based on national data, come in the wake of an algebra mandate that the state Board of Education, under pressure from Gov. Arnold Schwarzenegger, adopted in July. That decision won widespread praise from some reform advocates and the Bush administration, putting California out front in a national debate over improving mathematics instruction.
The policy also led to a lawsuit filed this month by groups representing school districts and school administrators. They contend that the state board adopted the new rules illegally. Their underlying concern is that the algebra policy is unworkable and unfunded.
The new study, released today by the Brookings Institution in Washington, D.C., looked at who is taking eighth-grade algebra and how they are doing.
And there was some ostensibly good news. Nationwide, more students are taking algebra than before. Over five years, the percentage of eighth-graders in advanced math — algebra or higher — went up by more than one-third. In total, about 37% of all U.S. students took advanced math in 2005, the most recent year in the analysis.

More here and here.

The Misplaced Math Student: Lost in Eighth-Grade Algebra

Tom Loveless:

Algebra in eighth grade was once reserved for the mathematically gifted student. In 1990, very few eighth graders, about one out of six, were enrolled in an algebra course. As the decade unfolded, leaders began urging schools to increase that number. President Clinton lamented, “Around the world, middle students are learning algebra and geometry. Here at home, just a quarter of all students take algebra before high school.”1 The administration made enrolling all children in an algebra course by eighth grade a national goal. In a handbook offering advice to middle school students on how to plan for college, U.S. Secretary of Education Richard Riley urged, “Take algebra beginning in the eighth grade and build from there.”2 Robert Moses ratcheted up the significance of the issue by labeling algebra “The New Civil Right,” thereby highlighting the social consequences of so many poor and minority students taking remedial and general math courses instead of algebra.3
The campaign was incredibly successful. Several urban school districts declared a goal of algebra for all eighth graders. In 1996, the District of Columbia led the nation with 53 percent of eighth graders enrolled in algebra. From 1990 to 2000, national enrollment in algebra courses soared from 16 percent to 24 percent of all eighth graders.
The surge continued into the next decade. Eighth-grade enrollment in algebra hit 31 percent nationally in 2007, a near doubling of the 1990 proportion. Today more U.S. eighth graders take algebra than any other math course.4 In July 2008, the State of California decided to adopt an algebra test as its eighth-grade assessment of student proficiency. The policy in effect mandates that all eighth graders will be enrolled in algebra by 2011.

Related from Jay Matthews.

Recalculating The 8th-Grade Algebra Rush

Jay Matthews:

Nobody writing about schools has been a bigger supporter of getting more students into eighth-grade algebra than I have been. I wrote a two-part series for the front page six years ago that pointed out how important it is to be able to handle algebra’s abstractions and unknown quantities before starting high school. I have argued that we should rate middle schools by the percentage of students who complete Algebra I by eighth grade.
Now, because of a startling study being released today, I am having second thoughts.
Tom Loveless, director of the Brown Center on Education Policy at the Brookings Institution, has looked at the worst math students, those scoring in the bottom 10th on the National Assessment of Educational Progress eighth-grade test. He discovered that 28.6 percent of them — let me make that clear: nearly three out of every 10 — were enrolled in first-year algebra, geometry or second-year algebra. Almost all were grossly misplaced, probably because of the push to get kids into algebra sooner.
The report (to be available at http://www.brookings.edu/brown.aspx ) reprints this simple NAEP problem:
There were 90 employees in a company last year. This year the number of employees increased by 10 percent. How many employees are in the company this year?
A) 9
B) 81
C) 91
D) 99
E) 100
The correct answer is D. Ten percent of 90 is 9. Add that to 90 and you get 99. How many of the misplaced students got it right? Just 9.8 percent. Not good.

Cultivating Algebra Enthusiasm

Michael Alison Chandler:

“Nothing like a little math to wake you up in the morning,” teacher Tricia Colclaser said this month after a taxing round of word problems.
Abstract math is not known for its stirring effect on U.S. teenagers. But algebra is viewed as increasingly essential for students preparing for college or careers in a fast-changing, technology-based economy. Some advocates call it the new literacy.
Strengthening the math abilities of all students is a steep challenge. Educators must reinforce basic concepts early on, attract teachers talented enough to go beyond dictating formulas, and, not least, overcome an anti-math bias many students harbor long into adulthood, that all the hours spent mixing letters and numbers yield more punishment than possibility.
How hard can it be?
The question led this education reporter back to high school to try again, as a student in Colclaser’s class. To prepare, I reviewed a recent version of Virginia’s Algebra II Standards of Learning exam. The 50 questions conjured a familiar wave of anxiety but little actual math. I then fumbled through a state Algebra I test, getting at most 10 answers right.

When Achievement Push Comes to Shove

Jay Matthews:

We have some of the top schools in the country in Arlington County. Is there some point with our children at which we could back off and not continue to push for rising achievement, an official goal of the county schools? Is there a way we can say, good enough is good enough?
My oldest son is in middle school. He is a talented but not gifted math student. Midway through this past school year, it was clear that he was not ready for algebraic thinking, and his seventh-grade math teacher compassionately helped us help him decide to move back to a more appropriate math level. Because I teach human development, I was able to help him understand that this wasn’t about being dumb, but a developmental marker he had not yet hit. He moved back to repeat the math class he took last year.
Now I have a boy who is not enthusiastic about math. He doesn’t believe he is good at it and doesn’t think math is fun, all because we want rising achievement for all students.

WHERE WE STAND: America’s Schools in the 21st Century

Via a kind reader’s email:

Monday, September 15th
9:00 p.m. on Milwaukee Public Television (Channel 10)
11:00 p.m. on Wisconsin Public Television stations
In 1995, America’s college graduation rate was second in the world. Ten years later, it ranked 15th. As so many nations around the world continue to improve their systems of education, America can no longer afford to maintain the status quo. In an ever-changing, increasingly competitive global economy, is the U.S. doing all it can to prepare its students to enter the workforce of the 21st century and ensure our country’s place as a world leader?
WHERE WE STAND: America’s Schools in the 21st Century examines the major challenges for U.S. schools in the face of a changing world. Divided into five segments, topics include globalization; measuring student progress; ensuring that all students achieve; the current school funding system, and teacher quality.
WHERE WE STAND is airing at a critical time in our country’s history. Along with its companion website and a variety of dynamic outreach activities across the country, the program will inspire a national dialogue in the weeks prior to the November elections. Nationally recognized education experts and leading proponents of educational reform will put these examples in context. They include Geoffrey Canada, CEO of the Harlem Children’s Zone; Diane Ravitch, education historian; Wendy Puriefoy, President of Public Education Network; Chester Finn, Senior Fellow at the Hoover Institute; Rick Hess, Director of Education Policy Studies, AEI; Michael Rebell, Executive Director of the Campaign for Educational Equity; and Sharon Lynn Kagan, Associate Dean for Policy, Teacher’s College at Columbia University.

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How One’s ‘Number Sense’ Helps With Mathematics

Rob Stein:

Scientists have for the first time established a link between a primitive, intuitive sense of numbers and performance in math classes, a finding that could lead to new ways to help children struggling in school.
A study involving 64 14-year-olds found that the teenagers who did well on a test that measured their “number sense” were much more likely to have gotten good grades in math classes.
“We discovered that a child’s ability to quickly estimate how many things are in a group significantly predicts their performance in school mathematics all the way back to kindergarten,” said Justin Halberda, an assistant professor of psychological and brain sciences at Johns Hopkins University who led the research, published online yesterday by the journal Nature. “It was very surprising.”

School District Steps Back from Controversial Math Curriculum

Janese Heavin via a kind reader’s email:

Columbia Public Schools’ chief academic officer said the district is ready to compromise with the community when it comes to elementary math. But Sally Beth Lyon, who oversees district curricula, stopped short of saying concepts-based math would be replaced by a more traditional program.
“We’re going to figure out how to get something done so we can all move forward,” she told the Tribune. “We’re still at the table and will discuss the best way to move forward and include and acknowledge the community concerns we’re hearing.”
Lyon’s comments followed last night’s Board of Education meeting, where board member Ines Segert accused the district of appointing people to district math committees who are biased toward investigative math programs and not appointing mathematicians who favor more traditional math instruction.
Segert cited three University of Missouri math education professors who serve on district committees and have received grant funds to train Columbia teachers how to use concepts-based math materials. “They instruct teachers in a certain ideology that happens to be used in these textbooks we have in class,” said Segert, a vocal advocate of returning traditional math to classrooms.

Lyon’s comments followed what was almost a scolding from board member Ines Segert during last night’s board meeting. Segert criticized the district for appointing math education professors on math committees who seem to benefit from investigative math curriculum. She also accused the district of giving people incomplete data and summaries that skew results to justify current practices.
Lyon denied that anyone making curricula decisions receive district dollars. Any grant money they get comes from federal and state sources, she said.

Madison Schools’ Math Task Force Discussion

25MB mp3 audio file from the September 8, 2008 meeting.
Links:

Complete 3.9MB PDF Report

Prince William County, Maryland Pupils Still Grapple With Math Test

Ian Shapira:

New state test results show that Prince William County’s third-graders are struggling to score at the highest level since the implementation of a controversial math program that was intended to boost performance.
The scores, which are the first state Standards of Learning (SOL) results to gauge the new program’s effectiveness, reveal that fewer than half of Prince William’s third-graders scored in the advanced category this year, the first that the Pearson math program “Investigations in Number, Data, and Space” was taught in that grade. Last year, third-graders who had not begun “Investigations” posted the same results.
The flat scores are a sizable decline since 2006, when 56 percent of third-graders reached the advanced level in math.
” ‘Investigations’ didn’t cure the problem,” said Vern Williams, a Fairfax County teacher and former member of the National Mathematics Advisory Panel who was invited by the Prince William School Board to speak at its work session later this month.

It will be interesting to see what, if any effect the soon to be released Madison Math Task Force report has on the local curriculum.
Math Forum

“Middle School Madness Blog”

by Unnamed MMSD Educators [RSS]. The blog touches on the “Standards Based Report Card” initiative among a number of other topics.

What about . . . THE 6th GRADE STUDENT READING AT A 2nd GRADE LEVEL?
From the district Curricular Standards:
“These Grade Level Performance Standards describe behaviors typical at the specified grade level. They represent behaviors students generally exhibit as they move from novice to expert in their ability to take control of language processes. It is important to remember, however, that literacy learning may not be sequential and each child has a unique developmental pattern.”
The 6th grade student reading at a 2nd grade level earns a ONE (remember, no zeroes) for the Power Standard of Reading Comprehension. Why? For not meeting the “behaviors typical at the specified grade level ” (6th).
Now, if said student raises her/his reading level to that of a 4th-grade student, guess what. That student still does not meet the 6th grade standard and will still earn a ONE for the Power Standard of Reading Comprehension. Effort and improvement are not taken into consideration in this constricted construct for grading.

via a kind reader email.
Much more on standards based report cards here.

Founder of The Secret Society of Mathmaticians

Julie Rehmeyer:

Henri Cartan, one of the leaders of a revolution in mathematics, dies at 104
In the 1930s, a group of young French mathematicians led an uprising that revolutionized mathematics. France had lost most of a generation in the First World War, so the emerging hotshots in mathematics had few elders to look up to. And when these radicals did look up, they didn’t like what they saw. The practice of mathematics at the time was dry, scattered and muddled, they believed, in need of reinvention and invigoration.
So they took up arms: pens and typewriters. Using the nom de plume “Nicolas Bourbaki” (after a dead Napoleonic general), they wrote a series of textbooks laying out mathematics the right way. Though the young mathematicians started out only intending to write a good textbook for analysis (essentially an advanced form of calculus), they ended up creating dozens of volumes which formed a manifesto for a new philosophy of mathematics.
The last of the founders of Bourbaki, Henri Cartan, died August 13 at age 104. In addition to his work in Bourbaki, Cartan made groundbreaking contributions to a wide array of mathematical fields, including complex analysis, algebraic topology and homological algebra. He received the Wolf Prize in 1980, one of the highest honors in mathematics, for his work on the theory of analytic functions. Two of his students won the Fields medal, sometimes considered equivalent to the Nobel Prize in mathematics, one won the Nobel Prize in physics and another won the economics Nobel.

SAT Comparison: Wisconsin, Minnesota, Illinois, Michigan and Iowa

The average SAT scores for Wisconsin and the neighboring states are summarized below. The higher the percentage of students who take the test, the lower
the average score is likely to be.

State	% Taking Test	Critical Reading	Math	Writing
Minnesota	8	596	609	579
Illinois	7	583	601	578
Michigan	6	581	598	572
Wisconsin	5	587	604	577
Iowa	3	603	612	582
The Wisconsin Department of Public Instruction Press Release [255K PDF] only compared Wisconsin to the National Average, below.
National Average	45	502	516	494

College Board 2008 SAT information.

Math scores at Metro schools jump

Natalia Mielczarek:

Metro high school students did something last year that most school districts only dream of — 80 percent reached math proficiency, or better, as compared with 69 percent the year before.
Definitions of proficiency aside, some testing experts call the 11-percentage-point jump unprecedented.
“If the numbers are accurate and represent the change in learning, that’s a tremendous gain,” said David Silver, a statistician at the National Center for Research on Evaluation, Standards, and Student Testing at UCLA.
“For comparison, over the past five years in California, we saw a total increase of eight points in mathematics in grades 2 to 7,” he said. “The biggest gain we ever saw in that time from year-to-year was four percentage points.”

California’s Algebra Problem

Los Angeles Times Editorial:

Even if there were money to pay for it, the state’s new algebra mandate would still be a bad idea.
ow that the State Board of Education is foolishly requiring every eighth-grader to take algebra, starting in three years, all that remains to be figured out is, how on Earth is this going to happen when so few kids are on track to get there?
The solution, according to state Supt. of Public Instruction Jack O’Connell, is to spend $3.1 billion on a “California Algebra I Success Initiative” that would recruit and train math teachers, lengthen the middle-school day, reduce class sizes in math and so forth.
The ideas are good enough. Essentially, though, they’re a political ball tossed to Gov. Arnold Schwarzenegger, who pushed for the eighth-grade requirement. (O’Connell opposed it.) The governor took on the easy part of school reform, in which he got to call for an unrealistic standard and proclaim that California was the first in the land with such high expectations. Will he now refuse to pay for the math requirement that he said was so necessary? That’s a possibility. The algebra funding would add about 5% to the state’s total allocation for public education, money that is not readily available even in a good budget year.

A Second-Rate Secondary Education
High schools need to start treating their students with the same respect colleges do.

Leon Botstein:

The weakest and most vulnerable element in education, particularly in the developed world, is the education of adolescents in our secondary-school systems. Relative economic prosperity and the extension of leisure time have spawned an inconsistent but prevalent postponement of adulthood. On the one hand, as consumers and future citizens, young people between the ages of 13 and 18 are afforded considerable status and independence. Yet they remain infantilized in terms of their education, despite the earlier onset of maturation. Standards and expectations are too low. Modern democracies are increasingly inclined to ensure rates of close to 100 percent completion of a secondary school that can lead to university education. This has intensified an unresolved struggle between the demands of equity and the requirements of excellence. If we do not address these problems, the quality of university education will be at risk.
To make secondary education meaningful, more intellectual demands of an adult nature should be placed on adolescents. They should be required to use primary materials of learning, not standardized textbooks; original work should be emphasized, not imitative, uniform assignments; and above all, students should undergo inspired teaching by experts. Curricula should be based on current problems and issues, not disciplines defined a century ago. Statistics and probability need to be brought to the forefront, given our need to assess risk and handle data, replacing calculus as the entry-level college requirement. Secondary schools and their programs of study are not only intellectually out of date, but socially obsolete. They were designed decades ago for large children, not today’s young adults.

Raise, not lower standards. Quite a concept. Clusty Search: Leon Botstein.
High School Redesign.

On Math Curriculum Reduction

Emily Messner:

The students swapped stories of little sisters, brothers and cousins who were taking above-grade-level math and getting good grades, yet did not seem to have a firm grasp of the material. The curriculum is being “narrowed and shallowed,” Walstein said. “The philosophy is that they squeeze you out the top like a tube of toothpaste. That’s what Montgomery County math is.”
Several students nodded their heads. This thesis has become Walstein’s obsession: In its drive to be the best, please affluent parents and close the achievement gap on standardized tests, the county is accelerating too many students in math, at the expense of the curriculum — and the students. The average accelerated math student “thinks he’s fine. His parents think he’s fine. The school system says he’s fine. But he’s not fine!” Walstein declares on one occasion. On another, Walstein is even less diplomatic. ” ‘We have the best courses and there’s no achievement gap and everything is wonderful,’ ” he says, parroting the message he believes county administrators are trying to project.
“The problem is, they’re lying!”

Math Forum audio / video links.

Michigan High-School Students Will Have Increased Chances to Develop Science and Engineering Skills

Business Wire:

To help meet the economic and business challenges ahead and retain Michigan’s position as the state with the highest percentage of engineers in the nation, Michigan high-school students will get significantly increased chances to develop critically needed engineering, science and math skills in 2009, thanks to a restructuring of the FIRST Robotics Competition (FRC) in Michigan.
“Although it is impossible to predict the future, including the economic opportunities and challenges Michigan may face, it is clear that to re-energize our economy we need more than a favorable business tax environment and financial incentives alone,” said Bloomfield, Mich. resident and FIRST in Michigan Director, Francois Castaing.
“We need a steady flow of new engineers and technicians who will help existing and new industries tackle international competition and environmental challenges,” he continued. “Michigan needs the next Larry Page to start another Google or to invent a new fuel from crab grass.”

Who’s better at math? Subtract gender

Emily Johns:

Scores from 7 million students nationwide show that girls and boys do equally well on tests. But Minnesota’s high school girls still lag.
When it comes to math scores, high school girls are measuring up, reports a national study challenging the persistent notion that boys are naturally better with numbers.
The University of Wisconsin-Madison study released Thursday in the journal Science reported that, overall, U.S. girls and boys got equal math scores, from second through 11th grades. The results of the study, the largest of its kind, represented marked improvement over a 1990 study showing measurable differences in complex problem-solving, starting in high school.

Forget credit; some students attend summer school to ace classes in fall

Stella Chavez:

Julie Chang is spending the summer learning calculus at a college prep school. In the fall, she’s going to take calculus again, as a junior at Plano Senior High.
Her strategy is simple: Learn as much as possible about the subject over the summer so there’s a good chance of acing the class when it really counts – during the school year.
And maybe she can reach her goal of being valedictorian for the Class of 2010

As education in Iowa slips, where’s the public outcry?

Des Moines Register Editorial:

What would it take for Iowa – and the nation – to fully prepare students for the globally competitive world of today and tomorrow?
What does that mean for the curriculum, training of teachers and expectations for students? What is the best way to transform classrooms to deliver this world-class education, not just to elite students but to everyone? Are national standards the answer, or should that be left to states?
Those are some of the questions The Des Moines Register’s editorial board has asked in recent months. We’ve talked with educators and policymakers, we’ve visited schools and we’ll visit others here and abroad.
everal things are clear from conversations to date:
One is a growing, though hardly universal, concern that the United States must better educate students to keep its competitive edge in a fast-changing global economy. The rise of Asia and the flattening of the world with technology – allowing jobs to move virtually anywhere in the world – create great opportunities but also pose significant threats. That’s especially worrisome when American youngsters perform so poorly in math and science on international tests compared to their peers in many other places.
Interest grows in higher standards.

Grade 6 & 9 Math Problems from Japan

700K PDF. Grade 6

Grade 9

Via the Asia Pacific Economic Cooperation Wiki and ed in 08 (best item from their $60M campaign thus far).
Math Forum.

Back to school math prep

AZ Central:

We continue our special series this week on preparing your children for the new school year. This year high school students are required to take more math. School Solutions’ Kim Covington explains that’s no sweat for the students of a Tempe teacher.
A record number of students at Desert Vista High School in Tempe got perfect scores on their SAT. That’s 26 students, but another 40 just missed one.
Many of those students attended Desert Vista’s popular 4 hour summer math camp. The 5th-8th graders who take part breezed through Algebra in just a few weeks. Teacher Larry Strom started the math camp two years ago. The Math Department Chair says, “we tell them to take Algebra as early as they possibly can.”

Peter Schrag: The quick road to math success: Get a bigger whip

Peter Schrag:

There’ve been lots of complaints that Gov. Arnold Schwarzenegger has neither much interest in education policy, nor the capacity to deal with it. But his precipitous plunge into the algebra wars last week and the state Board of Education’s sudden decision to bow to his demand makes you wish that that he had less interest or a lot more capacity.
The leap, in the form of a letter urging the board to require that every eighth-grader take beginning algebra and the board’s overnight agreement to mandate it within three years is like trying to make a scrawny horse pull a heavier load with a bigger whip. At best, it won’t work; at worst, it will kill the horse.
The state has for some years had an admirable “goal” that every eighth-grader take algebra, combined with a set of incentives for districts to get all students there. The incentives – essentially penalizing schools by reducing a school’s Academic Proficiency Index for each student who takes only general math – have worked. More than half of California’s eighth-graders now take either algebra or geometry.

Algebra Rules

SF Chronicle:

One thing both sides of the math-wars debate should agree on is this: Educators can set high standards, but the higher standards only help students if the students have a base of knowledge from which they can rise. In 1997, when the state board of education issued math standards that called for eighth graders to learn Algebra 1, they knew that California teens could not instantly meet that goal.
Rather than set a strict mandate for eighth grade Algebra 1, the board used other policies to set incentives for moving more students into higher-level math, and disincentives for failing to do so – with the goal of having all eighth graders learn Algebra 1 by 2014. The ratio of eighth graders who took Algebra 1 or even higher level math grew from 16 percent in 2000 to 52 percent today. Those 52 percent of students are in a strong position to make it through the college track. Supporters believe this progress – especially the doubling of African American students in eighth-grade Algebra 1 – represents a coup in the struggle to close the achievement gap.

Math Meltdown

Patrick Welsh:

Summertime means school for an increasing number of high school students who have struggled in their math courses. But the system could be contributing to the kids’ poor performances.
Sam Cooke once cooed: “It’s summertime, and the living is easy.”
Tell that to the increasing number of middle and high school students who will be sweating out summer school this year because of their meltdown in math.

Related: Math Forum.

Former Math Teacher’s Lesson of the Day

Claudia Ayers:

It isn’t absurd enough that we test high school students with a High School Exit Exam that is pretty much on a par with the California Basic Educational Skills Test (CBEST) required of teachers, but now we are all congratulating ourselves with a decision to test eighth graders for algebra. At least state schools chief Jack O’Connell has learned from his own past mistakes and opposed this decision. If only he had the guts to say he blew it on advocating for the exit exam, which is not only a complete waste of tens of millions of dollars, but sends more and more kids into the streets and trouble with the law when they fail to graduate because they do not test as well as others. (About 10 percent of high school students must “fail,” otherwise it isn’t a “test.”)
I tutored algebra to younger students when I myself was in high school. Later I taught it in public high schools for nearly 20 years, concurrently with other math courses, including geometry, pre-algebra and seventh and eighth grade math. I taught in some of the highest achieving, and some of the lowest achieving middle and high schools in the state. So, maybe my perspective is broader than the average citizen’s. Still, anyone who thinks it is a good idea to begin testing all eighth graders in algebra is simply delusional. It would be more PC to say uninformed, but I am at wit’s end.

California’s algebra fracas symbolizes bigger mess

Dan Walters:

This week’s dust-up over whether all of California’s eighth-graders should be taking algebra encapsulates one of the state’s overarching educational dilemmas: Is it wise to set educational standards that apply to all students, even though they have an astonishing and ever-widening array of innate abilities and cultural, economic, ethnic and linguistic backgrounds?
Gov. Arnold Schwarzenegger and advocates of educational rigor are hailing the state Board of Education’s vote to impose the algebra requirement in response to pressure from federal officials about creating more uniformity in standards and testing.
However, state schools Superintendent Jack O’Connell, who wanted to modify the decade-old state policy of introducing eighth-graders to algebra to comply with the federal demands, claims that the decree will leave many kids behind because the state is unprepared, educationally and financially, to implement it.
The conflict echoes, ironically, the controversy over the decree that high-schoolers must pass an exit exam before being awarded graduation diplomas – a standard that O’Connell vigorously championed as legislator and state schools chief.

India plans massive technical education push

EETimes:

The government is launching a three-year initiative to boost technical education.
The Ministry of Human Resource Development will head the effort designed to overhaul India’s education system, which lags other developing countries. Officials said the effort aims to improve the quality of Indian education by expanding the capacity of institutions and creating new ones.
Regional, social and gender disparities in higher and technical education are also being addressed in the new strategy, which is being bolstered by a nine-fold budget increase for technical education. At the same time, the ministry said, regional governments need to do more to support technical education.
The federal government plans to establish eight new Indian Institutes of Technology, known for producing top researchers for global technology firms. Also planned are two more Indian Institutes of Science, Education and Research. Twenty new Indian Institutes of Information Technology are also planned.

Teachers learn principles to pass on to in-demand students

Kathleen Gallagher:

How many teachers does it take to make a pingpong ball launcher?
More than one, 84 high school and middle school teachers participating in a two-week training class at the Milwaukee School of Engineering found out.
On Friday, they finished learning how to work cooperatively to make pingpong ball launchers and marble sorters, and to rip apart everything from flashlights to strap hinges so they could remake them to work better.
As a result, each is now certified to teach one Project Lead the Way class in digital electronics, civil engineering and architecture, or another engineering topic.
The Project Lead the Way-trained teachers are part of a push that powerful forces in the state have gotten behind.

The Third World Challenge

Bob Compton, via a kind reader’s email:

ersonally, I know that China and India are not “Third World” countries, but that is because I’ve traveled to those countries and I deeply admire their cultures and their people.
The inspiration for the name “Third World Challenge” came a statement made to me by a professor at the Harvard Graduate School of Education when I showed my film Two Million Minutes for the HGSE faulty. “We have nothing to learn from education systems in Third World countries,” he intoned with much gravitas, “Much less a Third World country that lacks freedom of speech.” To my surprise, no other faculty member rose to challenge that statement.
While I certainly expected a more open-minded and globally aware audience at Harvard, I have now screened my film around the country and a surprisingly large segment of the American population believes India and China’s K-12 education systems are inferior to that of the United States. While no American makes the statement with the boundless hubris of a Harvard professor, the conclusion often is the same – America is number one in education and always will be.
This of course is not true. American students’ academic achievement has been declining vis-à-vis other developed countries for more than 20 years. What is now surprising and worrisome is US students are even lagging the developing world.

More “Algebra” for Chicago Public Schools Eighth Graders

Alexander Russo:

What do you think about the CPS effort to bring more algebra into middle schools?
From Catalyst: “The June board meeting included a brief presentation on student achievement from the Office of Instructional Design and Assessment. A recap of statistics showed that while 40 percent of 8th-graders across the country take algebra, only 8 percent of CPS 8th-graders do.
“With this in mind, Chief Officer Xavier Botana noted how the district is revamping algebra instruction: 8th-grade algebra will now be called “High School Algebra in the Middle Grades,” a name change that Botana said will help parents and others understand that students are tackling high-school-level material.

A commenter nails the issue:

The exit exams have to be real. They can’t be given credit for high school algebra, then show up in high school unprepared to take second year algebra.
Of course, they would only be prepared to take algebra in 8th grade if they have had rigorous math instruction before that. I believe these suburban schools with 40% of 8th graders taking algebra also have pre-algebra programs for kids in the 7th grade.
I’m all for offering rigorous classes; but there has to be some support to help kids get there.

Madison West High School Math Teachers letter 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.
Math Forum audio / video and links

It will be interesting to see the results of the Madison Math Task Force’s work.

No Common Denominator: The Preparation of Elementary Teachers in Mathematics by America’s Education Schools, June 2008

National Council on Teacher Quality (3MB PDF):

American students’ chronically poor performance in mathematics on international tests may begin in the earliest grades, handicapped by the weak knowledge of mathematics of their own elementary teachers. NCTQ looks at the quality of preparation provided by a representative sampling of institutions in nearly every state. We also provide a test developed by leading mathematicians which assesses for the knowledge that elementary teachers should acquire during their preparation. Imagine the implications of an elementary teaching force being able to pass this test.

Brian Maffly:

Most of the nation’s undergraduate education programs do not adequately prepare elementary teachers to teach mathematics, according to a study released Thursday by an education-reform advocacy group. Utah State University is among the 83 percent of surveyed programs that didn’t meet what the National Council on Teacher Quality calls an emerging “consensus” on what elementary teachers must learn before joining professional ranks.
“There’s a long-standing belief in our country that elementary teachers don’t really need to get much math. The only thing you need to teach second-grade math is to learn third-grade math,” said Kate Walsh, executive director of the Washington, D.C.-based group. “We haven’t put much attention to fact the elementary teachers are the first math teachers kids get. Their foundational skills have long-term ramifications whether that child will be able to do middle and high school math.”
The NCTQ’s findings are similar to a reading report the group released two years ago, claiming that 85 percent of undergraduate elementary education programs fail to adequately prepare students to teach reading.

Joanne has more. It will be interesting to see of the Madison Math Task Force addresses the question of teacher content knowledge. Related:

Minnesota Council of Teachers of Mathematics
Minnesota, TIMMSS and 8th grade science results
Minnesota recently formed 9 centers for science & math teaching.
TIMSS

California: Education Data Tells a Sorry Story

Dan Walters:

“Most incoming (community college) students are not ready for college-level work,” the report says. “In addition, relatively few of these students reach proficiency during their time (in community college).”
That’s interesting, but it also raises this question: Since virtually all of those community college students graduated from high school, what is that telling us about the level of K-12 instruction?
One presumes, perhaps naively, that if someone possesses a California high school diploma, thus signifying 12 years of education costing taxpayers around $130,000, that someone must possess basic reading, writing and computational skills.
Remember, we’re not talking about the roughly one-third of California’s teenagers who don’t graduate from high school; with few exceptions we’re talking about graduates who have enough gumption to attend community college, and yet, this report says most don’t have the appropriate basic skills for college-level studies. By the way, that also doesn’t count the large numbers of high school graduates – well over a third – who require remedial instruction after being accepted into the California State University system.

Madison’s Math Task Force Meets Today and Tomorrow

Madison School District:

Welcome

Approval of Minutes dated June 6, 2008

Review of Drafts of Findings and Recommendations for Final Task Force Report

Consensus findings

Findings that require further discussion

Consensus recommendations

Recommendations that require further discussion

Further Discussion of Findings Requiring Revised or Additional Language as Needed

Further Discussion of Recommendations requiring Revised or Additional Language as Needed

Other Findings or Recommendations Proposed for Inclusion in the Final Report

Other Issues regarding Final Report Draft

Friday:

Welcome
Review of Revised Report Documents

Revised findings
Revised recommendations
Discussion

Review and Discussion of Other Chapters of Final Report

Additional Comments and Concerns relate to the Final Report

Acceptance of Findings, Recommendations and Sub-reports and Final Report

Next Steps in Process of Submitting to the MMSD Board

Acknowledgments

Adjournment

Much more on the Math Task Force here.
March 7, 2008 Madison Math Task Force Minutes.

MasterCard to Donate $200,000 for St. Louis Math Education

Matt Allen:

MasterCard Worldwide is donating nearly $200,000 in grants this year as part of its St. Louis corporate giving program, Project Math, which helps advance math education in the St. Louis area.
Among those who are currently receiving funding from MasterCard as part of Project Math are the Wentzville School District, The Magic House, Big Brothers Big Sisters of Eastern Missouri and the Missouri Colleges Fund. Junior Achievement of Mississippi Valley Inc. received a $50,000 grant in March enabling the organization to reach more than a dozen St. Louis area schools.

Maths review: toddlers should learn through number play

Laura Clout & Lucy Cockcroft:

Pre-school children should spend time cooking with their parents and playing with numbers to help improve their maths skills, a Government review has recommended.
The report by Sir Peter Williams, Chancellor of Leicester University, also advised that every primary school should have a specialist maths teacher and called for more mental arithmetic in class.
He called for urgent action to change England’s “can’t do attitude” to the subject, and said that every child should have mastered the basics of the subject by the age of seven.
To help achieve this children should be playing with shapes, time, capacity and numbers to foster their “natural instincts” from a young age

Germans eye kindergarten for next engineers

Richard Milne:

Germany’s shortage of engineers has become so acute that some of its leading companies are turning to nursery schools to guarantee future supplies.
Industrial giants such as Siemens and Bosch are among hundreds of companies giving materials and money to kindergartens to try to interest children as young as three in technology and science.
Many European countries from Switzerland to Spain suffer shortages of graduates. But the problem is especially acute in Germany, renowned as a land of engineering. German companies have 95,000 vacancies for engineers and only about 40,000 are trained, according to the engineers’ association.
“It is a new development in that we have seen we need to start very early with children. Starting at school is not good enough – we need to help them to understand as early as possible how things work,” said Maria Schumm-Tschauder, head of Siemens’ Generation21 education programme.

Madison Math Task Force Minutes

March 7, 2008 Meeting [rtf / pdf]. Well worth reading for those interested in the use of Connected Math and Core Plus, among others, in our schools.
A few interesting items:

Mitchell Nathan proposed a change to the name of the Work Group to more authentically describe its intent. There was consensus to accept the change in designation for the Work Group from “Curriculum Review and Research Findings” to “Learning from Curricula.”
“Addresses the misconception that there is one curriculum. There are a number of curricula at play, with the exception of the narrowing down at the middle school level, but teachers are also drawing from supplementary materials. There are a range of pathways for math experiences. The work plan would give an overview by level of program of what exists. “
“Could say that variety is good for children to have places to plug into. Could expand on the normative idea of purchasing commercial curricula vs. richer, in-house materials. Standards tell the teachers what needs to be taught. Published materials often are missing some aspect of the standards. District tries to define core resources; guides that help people with classroom organization.” Fascinating, given the move toward one size fits all in high school, such as English 9 and 10.
“Want to include a summary of the NRC report that came out in favor of Connected Math but was not conclusive—cannot control for teacher effects, positive effects of all curricula, etc. “
“Would like to give some portrayal of the opportunities for accelerated performance — want to document informal ways things are made available for differentiation. “
“Include elementary math targeted at middle school, e.g., Math Masters. There is information out there to address the Math Masters program and its effect on student achievement.”
“Data are available to conclude that there is equity in terms of resources”
“District will have trend data, including the period when Connected Math was implemented, and control for changes in demographics and see if there was a change. No way to link students who took the WKCE with a particular curriculum experience (ed: some years ago, I recall a teacher asked Administration at a PTO meeting whether they would track students who took Singapore Math at the Elementary level: “No”). That kind of data table has to be built, including controls and something to match teacher quality. May recommend that not worth looking at WKCE scores of CM (Connected Math) student or a case study is worth doing. “
The Parent Survey will be mailed to the homes of 1500 parents of students across all grades currently enrolled in MMSD math classes. The Teacher Survey will be conducted via the district’s web site using the Infinite Campus System.
MMSD Math Task Force website

Math Forum audio / video and links.

Columbia, Missouri ACT Results Compared with Math Curriculum

Columbia Parents for Real Math:

CPS Secondary Math Curriculum Coordinator Chip Sharp provided average ACT scores reported by course enrollment which are used in the figures below. Plotting the data in several ways gives food for thought regarding the differences between algebra and integrated math pathways offered at CPS.
The data don’t distinguish between which students are sophomores, juniors or seniors when they take the ACT, which students may have repeated courses or what year they started the pathway (7th, 8th or 9th grade). But it does give some idea of how much math “preparation” each course pathway provides at least for the years for which data is available.

I’ve heard that Madison’s Math Task Force will render a report prior to Superintendent Art Rainwater’s June 30, 2008 retirement. Related: Math Forum.

$10M for Math in Milwaukee

Alan Borsuk:

Milwaukee Public Schools officials got the assurance they were seeking when Gov. Jim Doyle said Wednesday that he will release $10 million to improve math instruction in Milwaukee next year.
Although the money was included in the budget approved last fall, Doyle had the option of not awarding it. After Doyle used his veto powers recently to require a $270 million cut in spending next year, MPS leaders were concerned the $10 million might be chopped.
Doyle used an eighth-grade classroom at the Lincoln Center of the Arts, an MPS middle school on the lower east side, to announce he was awarding the money, which is to be used to pay for more than 100 math teaching positions.

Accelerated Math Adds Up To a Division Over Merits

Daniel de Vise:

Next fall, 26 of the sharpest fifth-grade minds at Potomac Elementary School will study seventh-grade math. The rest of the fifth grade will learn sixth-grade math. Fifth-grade math will be left to the third- and fourth-graders.
Public schools nationwide are working to increase the number of students who study Algebra I, the traditional first-year high school math course, in eighth grade. Many Washington area schools have gone further, pushing large numbers of students two or three years ahead of the grade-level curriculum.
Math study in Montgomery County has evolved from one or two academic paths to many. Acceleration often begins in kindergarten. In a county known for demanding parents, the math push has generated an unexpected backlash. Many parents say children are pushed too far, too fast.
Sixty Montgomery math teachers complained, in a November forum, that students were being led into math classes beyond their abilities.

School Shopping, Part IV

Jan Eyer:

I think we’ve decided where Belle is going to kindergarten. Barring some unforeseen circumstance, she’ll be attending our neighborhood school in the fall.
When I last wrote on this subject, we were really torn between the two options, the neighborhood school and the public “Open” school. Since that writing, I did a classroom observation at the Open school, which was required as part of the application process, and liked what I saw overall. I did wish that they hadn’t put me in a student teacher classroom, but I suppose that’s a reality that is good to observe, too.
We went ahead with being entered in the lottery, and we drew number 45. The lottery was in the end of March, and as of now they are at number 38 on the list. Historically, people who draw numbers in the 40s usually get in, but it can be as late as July or August. So all through April and May, Kevin and I put off discussing the issue because we figured we’d hash it out if/when we got in and there was a decision to make. (Of course, that didn’t stop me from getting opinions on both schools from anyone and everyone I could.) We told Belle that there were two schools we were considering for her, and she was OK with it being up in the air.

Eyer recently wrote about the Ann Arbor School District’s use of “Everyday Math”.

Gwinnett County, GA Schools asked math teachers to stay for summer school

D. Aileen Dodd:

Gwinnett County Schools began to prepare teachers for higher than normal failure rates on the standardized math exam for middle-schoolers long before the state announced the troubled scores.
Tougher standards made the new middle school math section of the Georgia Criterion-Referenced Competency Test more challenging for students. New curriculum changes also proved to be more difficult for some educators to teach and students to grasp.
When you have a new assessment on a new curriculum you usually anticipate that you will have a dip in performance,” said Sloan Roach, spokesperson for Gwinnett Schools.
Planning ahead for problems, Gwinnett administrators asked more middle school teachers than usual to stick around for summer school, so the district wouldn’t be overwhelmed by eighth-graders seeking help in math. Eighth-graders are required to pass the CRCT for promotion to high school.

Algebra I stumping high school freshmen

Lori Higgins:

Thousands of high school freshmen across Michigan are failing Algebra I, the first of four math courses this class of students must take and pass to fulfill what are among the toughest graduation requirements in the nation.
The failure rate — estimated at 20% to 30% of about 113,000 freshmen — has some predicting a crisis by the time these students are juniors and must take Algebra II.
In Macomb County after the first semester of this school year, the failure rate was around 28%.
“We have enough data to think this is going to continue to be a problem,” said Gayle Green, assistant superintendent with the Macomb Intermediate School District. Failure rates for Oakland and Wayne counties haven’t been compiled but officials there are concerned, too.

Related: April, 2004 West High School Math Teacher Letter to Isthmus.

May 21, 2008 Congressional Hearing on Math Curriculum

Via a kind reader email: House Committee on Education & Labor:

The House Education and Labor Committee held a hearing to examine a recent report released by the National Mathematics Advisory Panel on the state of math education and instruction in the United States. Among other things, the report found that the nation’s system for teaching math is “broken and must be fixed” if the U.S. wants to maintain its competitive edge.

Skip Fennel’s wide ranging testimony can be read here [66K PDF]:

However, I would add that at a time of teacher surplus at the elementary school level, it is perhaps time to scrap the model of elementary teacher as generalist. Why not have specifically trained elementary mathematics specialists starting from day one of their career? Our country can’t wait until such specialists are graduate students.

Francis “Skip” Fennell is Professor of Education, McDaniel College and Past President, National Council of Teachers of Mathematics (NCTM). Notes and links on the recent NCTM report.

Prince William Schools Join to Design Regional Science/Technology Magnet

Ian Shapira:

Prince William County, after years of longing, may finally get a selective magnet school to serve as a mini-rival to Fairfax County’s prestigious Thomas Jefferson High School for Science and Technology.
The Prince William, Manassas and Manassas Park school systems recently won a $100,000 state grant to design a regional “governor’s school” that would open by fall 2010 and specialize in math, science and technology.
The yet-unnamed school, which would have rigorous admissions requirements, would differ in key respects from Thomas Jefferson, a full-day governor’s school in the Alexandria section of Fairfax that draws students from across Northern Virginia. Students would still attend neighborhood schools, traveling to the new magnet campus only for high-level classes.

Accelerated Math in Maryland Middle Schools

Daniel de Vise:

The most noticeable change is a dramatic increase in students taking accelerated math classes in the middle years, an initiative that seems to have spread to every school system in the region. Educators view math acceleration as a gateway to advanced study in high school and, in turn, to college. Higher-level math classes have helped middle schools cultivate a community of students similar to those in honors and Advanced Placement high school classes.
At Samuel Ogle Middle School in Bowie, the number of students taking Algebra I, a high-school-level course, has doubled from 60 to 120 in the past two years.

Barry Garelick references Montgomery County’s experiment with Singapore Math. About Singapore Math. More here.

National Science Bowl for High School Students

US Department of Energy:

The National Science Bowl® is a highly visible educational event and academic competition among teams of high school students who attend science seminars and compete in a verbal forum to solve technical problems and answer questions in all branches of science and math. The regional and national events encourage student involvement in math and science activities, improve awareness of career options in science and technology, and provide an avenue of enrichment and reward for academic science achievement.

Financial Literacy

The Economist:

“EVERYBODY wants it. Nobody understands it. Money is the great taboo. People just won’t talk about it. And that is what leads you to subprime. Take the greed and the financial misrepresentation out of it, and the root of this crisis is massive levels of financial illiteracy.”
For years John Bryant has been telling anyone who will listen about the problems caused by widespread ignorance of finance. In 1992, in the aftermath of the Los Angeles riots, he founded Operation HOPE, a non-profit organisation, to give poor people in the worst-hit parts of the city “a hand-up, not a handout” through a mixture of financial education, advice and basic banking. Among other things, Operation HOPE offers mortgage advice to homebuyers and runs “Banking on Our Future”, a national personal-finance course of five hour-long sessions that has already been taken by hundreds of thousands of young people, most of them high-school students.
The council is not short of expertise. It is chaired by Charles Schwab, eponymous boss of a broking firm. Its other members include the head of Junior Achievement, which has been teaching children about money since 1919, and a co-author of “Rich Dad, Poor Dad”, a self-help bestseller. Already, it has approved a new curriculum for middle-school students, “MoneyMath: Lessons for Life“. (Lesson one: the secret to becoming a millionaire. Answer: save, save, save.) It is starting a pilot programme to work out how to connect the “unbanked” to financial institutions. And it is supporting what, echoing the Peace Corps, is called the Financial Literacy Corps: a group of people with knowledge of finance who will volunteer to advise those in financial difficulties.

Yet another math curriculum. One of the things I noticed when paging through the large Connected Math (CMP) textbooks a few years ago was the consumer oriented nature of the content (as opposed to a creative approach).

Coalition Releases State Of Black Madison Report

Channel3000:

New group the State of Black Madison Coalition said it is out to “change the plight of African Americans in the community,” and members warned if that doesn’t happen, Madison could see the major problems that plague Beloit and Milwaukee.
The new coalition of African American focused groups, armed with a new report called “The State of Black Madison 2008: Before the Tipping Point,” issued a call to action Tuesday to the entire Madison community.
It said Madison is on the precipice of change and if problems of disparity between whites and blacks are not addressed, the city might, as the one coalition member put it, “plunge into intractable problems that plague most major urban cities.”
The reports details the state of African Americans in Madison, saying if trends from 1990-2005 continue, it will take 265 years for the income gap between blacks and the rest of the Dane County community to disappear.
“A city should be measured by how close the weakest link is to the strongest link. My friends, in Madison we are football fields apart,” said Scott Gray, president and CEO of the Urban League of Greater Madison

WKOW-TV:

African-American city leaders say the black community is in trouble and hope a new report called the State of Black Madison will be a catalyst for change.
The summary report, Before the Tipping Point, was released today by the State of Black Madison Coalition. They based their findings on information from the Center on Wisconsin Strategy and other recent research. Among the discoveries: racial disparity is most prevalent in the areas of criminal justice, education, health care and housing. 37-percent of African Americans in Dane County live in poverty today, as compared to just 11-percent of the community as a whole. And if trends that turned up between 1990-2005 continue, it will take 265 years for the income gap between blacks and the rest of the county to disappear.

Complete report (pdf).

Elite Korean Schools, Forging Ivy League Skills

Sam Dillon:

It is 10:30 p.m. and students at the elite Daewon prep school here are cramming in a study hall that ends a 15-hour school day. A window is propped open so the evening chill can keep them awake. One teenager studies standing upright at his desk to keep from dozing.
Kim Hyun-kyung, who has accumulated nearly perfect scores on her SATs, is multitasking to prepare for physics, chemistry and history exams.
“I can’t let myself waste even a second,” said Ms. Kim, who dreams of attending Harvard, Yale or another brand-name American college. And she has a good shot. This spring, as in previous years, all but a few of the 133 graduates from Daewon Foreign Language High School who applied to selective American universities won admission.
It is a success rate that American parents may well envy, especially now, as many students are swallowing rejection from favorite universities at the close of an insanely selective college application season.
“Going to U.S. universities has become like a huge fad in Korean society, and the Ivy League names — Harvard, Yale, Princeton — have really struck a nerve,” said Victoria Kim, who attended Daewon and graduated from Harvard last June.
Daewon has one major Korean rival, the Minjok Leadership Academy, three hours’ drive east of Seoul, which also has a spectacular record of admission to Ivy League colleges.
How do they do it? Their formula is relatively simple. They take South Korea’s top-scoring middle school students, put those who aspire to an American university in English-language classes, taught by Korean and highly paid American and other foreign teachers, emphasize composition and other skills key to success on the SATs and college admissions essays, and — especially this — urge them on to unceasing study.

Study Suggests Math Teachers Scrap Balls and Slices; “The Researchers Did Something Rare in Education Research”

Kenneth Chang:

One train leaves Station A at 6 p.m. traveling at 40 miles per hour toward Station B. A second train leaves Station B at 7 p.m. traveling on parallel tracks at 50 m.p.h. toward Station A. The stations are 400 miles apart. When do the trains pass each other?
Entranced, perhaps, by those infamous hypothetical trains, many educators in recent years have incorporated more and more examples from the real world to teach abstract concepts. The idea is that making math more relevant makes it easier to learn.
That idea may be wrong, if researchers at Ohio State University are correct. An experiment by the researchers suggests that it might be better to let the apples, oranges and locomotives stay in the real world and, in the classroom, to focus on abstract equations, in this case 40 (t + 1) = 400 – 50t, where t is the travel time in hours of the second train. (The answer is below.)
“The motivation behind this research was to examine a very widespread belief about the teaching of mathematics, namely that teaching students multiple concrete examples will benefit learning,” said Jennifer A. Kaminski, a research scientist at the Center for Cognitive Science at Ohio State. “It was really just that, a belief.”
Dr. Kaminski and her colleagues Vladimir M. Sloutsky and Andrew F. Heckler did something relatively rare in education research: they performed a randomized, controlled experiment. Their results appear in Friday’s issue of the journal Science.

The Advantage of Abstract Examples in Learning Math by Jennifer A. Kaminski, Vladimir M. Sloutsky, Andrew F. Heckler.
I wonder what has become of the Madison School District’s Math Task Force?
Math Forum audio, video, notes and links.

School Test Scores Rise as More Low Scoring Students Drop Out

Margaret Downing:

A few years ago, I signed on as a volunteer tutor at my local elementary. I was matched with a student — I’ll call him Eddie — who was failing miserably at both the math and English portions of the TAAS (Texas Assessment of Academic Skills), a statewide minimal skills test that was the precursor to today’s TAKS (Texas Assessment of Knowledge and Skills).
I took him on in math, it being the worst of all his subjects, and began a series of one-on-one weekly meetings. It soon became apparent that while Eddie’s multiplication and division skills were very shaky, his ability to subtract once we got into double digits was no better. Asked to compute 25 minus 17, Eddie’s eyes darted around the room looking for an escape hatch. There were too many numbers to count on his fingers.
Word problems only ramped up the agony.

Some HOPE Scholarship recipients need remedial help in college

Jennifer Burk:

Despite earning B averages in high school, at least one in 10 HOPE Scholarship recipients receives some type of remedial help during the first year of college.
Put simply, some college freshmen who seemed to excel in high school still need help in basic math and English.
Twelve percent of college freshmen who have the HOPE Scholarship, awarded to Georgia students who graduate from high school with at least a B average, received learning support in fall 2006, according to the University System of Georgia.
The reasons why run the gamut, with blame placed at the state level all the way down to the student.
“It’s hard for me to say the causes of that,” said Dana Tofig, a spokesman for the Georgia Department of Education.
But part of the reason for the state’s continuing overhaul of the public schools’ kindergarten through 12th grade curriculum is to get students out of remediation and make them more prepared for college work, he said.
“The curriculum“>curriculum before was way too broad and way too vague,” Tofig said.

“The Schools Aren’t Teaching Our Kids What They Need to Know”

Bob Herbert:

Ignorance in the United States is not just bliss, it’s widespread. A recent survey of teenagers by the education advocacy group Common Core found that a quarter could not identify Adolf Hitler, a third did not know that the Bill of Rights guaranteed freedom of speech and religion, and fewer than half knew that the Civil War took place between 1850 and 1900.
“We have one of the highest dropout rates in the industrialized world,” said Allan Golston, the president of U.S. programs for the Bill and Melinda Gates Foundation. In a discussion over lunch recently he described the situation as “actually pretty scary, alarming.”
Roughly a third of all American high school students drop out. Another third graduate but are not prepared for the next stage of life — either productive work or some form of post-secondary education.
When two-thirds of all teenagers old enough to graduate from high school are incapable of mastering college-level work, the nation is doing something awfully wrong.
Mr. Golston noted that the performance of American students, when compared with their peers in other countries, tends to grow increasingly dismal as they move through the higher grades:

Common Core of Data.

Unready in MA

Many Mass. graduates unprepared in college
Thousands need remedial classes, are dropout risks
By Peter Schworm
Boston Globe Staff / April 16, 2008
Thousands of Massachusetts public high school graduates arrive at college unprepared for even the most basic math and English classes, forcing them to take remedial courses that discourage many from staying in school, according to a statewide study released yesterday.
The problem is particularly acute in urban districts and vocational schools, according to the first-of-its kind study. At three high schools in Boston and two in Worcester, at least 70 percent of students were forced to take at least one remedial class because they scored poorly on a college placement test.
The study raises concern that the state’s public schools are not doing enough to prepare all of their students for college, despite years of overhauls and large infusions of money.
The findings are also worrisome because students who take remedial courses, which do not count toward a degree, are far more likely to drop out of college, often without the skills needed to land a good job. That has broad implications for the state’s workforce, economy, and social mobility.
The report, conducted jointly by the state Departments of Elementary and Secondary Education and Higher Education, found that the problem crossed socioeconomic lines. One third of high school graduates in suburban Hanover took remedial classes, as did 27 percent of graduates in Lynnfield and Needham.

(more…)

More Cal State Students Need Remedial Classes

Sherry Saavedra:

Cal State schools are a long way from their goal of seeing 90 percent of entering freshmen ready for college-level work.
Instead, 37 percent of freshmen entered a California State University campus last fall needing remedial math, while 46 percent were unprepared for college-level English, according to new data.
Locally, a quarter of freshmen at San Diego State University started school needing remedial math; 48 percent at Cal State San Marcos needed it. About one-third of SDSU freshmen were not proficient in English, compared with more than half at Cal State San Marcos.
The CSU system pours millions of dollars into outreach efforts aimed at making high schoolers more prepared for college, and it often bails them out with remedial classes when they’re not. But the past seven years have produced only modest improvements in math among Cal State’s 23 campuses, and there have been no changes in English.
Since last year, the math proficiency rate improved by less than half a percentage point, but the English rate slid by triple that amount.
Students are often sent to remedial courses when they don’t demonstrate proficiency on a CSU place

Character Counts, But Not by Race

Mona Charen:

The public schools, perhaps more than any other institution in American life, are afflicted with “sounds good” syndrome. Let’s teach kids about the dangers of smoking. Sounds good. Let’s improve math scores with a new curriculum called “whole math.” Sounds good. Let’s reduce teen pregnancy and sexually transmitted diseases by teaching sex ed. Sounds good. Let’s have cooperative learning where kids help one another. And so on.
The Fairfax County, Va., schools (where my children attend) recently joined a nationwide “sounds good” trend by introducing a character education curriculum. Students were exhorted to demonstrate a number of ethical traits like (I quote from my son’s elementary school’s website) “compassion, respect, responsibility, honesty.” It would be easy to mock the program — each trait, for example, is linked to a shape (respect is a triangle, honesty is a star). The intention to help mold character is a laudable one. But this program, like so much else about the public schools in the “sounds good” era, has foundered.
The curriculum made news recently when a report ordered by the school board evaluated student conduct for “sound moral character and ethical judgment” and then grouped the results by race. Oh, dear. It seems that among third graders, 95 percent of white students received a grade of “good” or better, whereas only 86 percent of Hispanic kids did that well and only 80 percent of black and special education students were so rated.
Martina A. “Tina” Hone, an African-American member of the school board, told the Washington Post that the decision to aggregate the evaluations by race was “potentially damaging and hurtful.”

Math report recommends teachers focus on basic skills

Lisa Schencker:

The report’s key recommendations include, for grades PreK-8, spending more time teaching fewer concepts and focusing more on basic skills critical to learning algebra such as whole numbers, fractions and aspects of geometry and measurement. “It has a lot of implications for math instruction not just in Utah but throughout the country,” said Brenda Hales, Utah state associate superintendent.
This week, a month after the national panel released its findings, 10,000 math teachers from across the country and several panel members gathered in Salt Lake City and discussed the panel’s recommendations as part of the annual math teachers’ conference.
Some educators said they might not be able slow down and teach fewer topics more in-depth as the report recommends because states and the federal government require them to teach and test on a certain number of topics each year under No Child Left Behind.

Milwaukee Schools Join National Testing (NAEP)

Alan Borsuk:

“The Nation’s Report Card” is going to start giving grades for Milwaukee Public Schools.
Milwaukee was named Thursday as one of seven urban school districts that will join the testing program of the National Assessment of Education Progress. NAEP is the closest thing to a nationwide testing program at levels below college admission tests. The government-funded organization that runs NAEP has trade-marked the “Nation’s Report Card” label for the program.
NAEP results released last week showed that Wisconsin eighth-graders were doing a bit better than the nation in writing skills, but that among African-Americans students, Wisconsin had the lowest scores in the United States and the second-widest gap between white and black kids in the nation.
There were no results for Milwaukee specifically in that round of testing, or in earlier tests that showed huge gaps in Wisconsin between white and black students in reading and math.

“Ill Prepared Students Flood Iowa Community Colleges”

Lisa Rossi:

Nearly one-third of freshmen at Iowa’s community colleges took at least one remedial course last fall, but an even larger percentage of the freshmen needed additional high-school-level instruction in one or more subject areas, a Des Moines Register survey has found.
The trend has educators frustrated and concerned.
While community colleges have long accepted that part of their role is to be a bridge between high schools and four-year colleges and universities, some community college advocates are becoming exasperated with the number of ill-prepared students arriving from high schools.
“I just think it’s unfortunate that such a large percentage of students who arrive at our door are in need of additional remediation to come up to the college level,” said M.J. Dolan, executive director of the Iowa Association of Community College Trustees.
The Register’s survey of the community colleges found that 31.5 percent of incoming freshmen last fall took one or more remedial courses to improve their understanding of certain academic subjects.

Eighth Grade Vocabulary List: 1978

Well worth reading [1.2MB PDF]:

rivulet: A small stream or brook. The ancient rivulet was conducted according to customs that were centuries old. The children enjoyed wading in the rivulet. The manuscript needed only minor rivulets before publication. A pleasant rivulet trickled through the fields.
firth: A narrow inlet or arm of the sea. (A firth may refer to any narrow arm of the sea or more particular to the opening of a river into the sea. Because the coast of Scotland is dotted with so many firths, the word has come to be associated with that country.) The soldier explored the firths that cut into the coastline. The young child was severely reprimanded for having committed the firth. After swimming across the firth, he was completely exhausted. The coast was cut with many narrow firths, which were ideal hideouts for smugglers.

You won’t find ten-year old children reciting Shakespeare soliloquies, acting out the Cuban Missile Crisis or performing Sophocles plays in most American classrooms today. But Albert Cullum’s elementary school students did all this and more. Combining interviews with Cullum and his former students with stunning archival footage filmed by director Robert Downey, Sr., A TOUCH OF GREATNESS documents the extraordinary work of this maverick public school teacher who embraced creativity, motivation and self-esteem in the classroom through the use of poetry, drama and imaginative play.
Regarded by academics as one of the most influential educators of the 1960s and ‘70s, Cullum championed what is, by today’s standards, an unorthodox educational philosophy: the belief that the only way teachers can be successful with children is to speak directly to their hearts and to their instinctive and largely ignored capacity to quickly understand and identify with the great personalities, ideas and emotions found in classical literature. To that end, Cullum regularly taught his elementary school children literary masterpieces, exposed them to great works of art and engaged them in the events of world history. Without leaving the classroom, his students visited King Tut’s tomb, attended joint sessions of the U.S. Congress, operated on “bleeding” nouns in his “grammar hospital,” and clamored to play the timeless roles of Julius Caesar, Lady Macbeth and Hamlet.
When Cullum was an elementary school teacher in the New York City suburbs during the 1960s, his friend Robert Downey helped film several student plays and classroom events. In A TOUCH OF GREATNESS, these lush black and white films, with original music created by Tom O’Horgan, capture the work of this radical teacher and his students’ love of learning.

Does Computing Add Up in the Classroom? On The “Mediocre Level of American Students’ Math Achievement

Steve Lohr:

Computing is essentially math on steroids. So, at first glance, it would seem no surprise that the recent report by the National Mathematics Advisory Panel would include computer-based instruction among its recommendations to address the “mediocre level” of math achievement by American students.
But the champions of computing in the classroom have hailed the math panel report as an encouraging win for their side. It suggests, they say, that computing should be seen as a valuable tool in mainstream education, like math and science, in kindergarten through high school curriculums.
“There is a real battle going on to determine the role that computing is going to play in K-12 education,” observed Robert B. Schnabel, a computer scientist at Indiana University, who is chairman of the Association for Computing Machinery’s education policy committee. “Is it going to be integrated into math and science curriculums or is it going to be more like shop?”

What’s Missing from Math Standards? Focus, Rigor and Coherence

William H. Schmidt:

Why do some countries, like Singapore, Korea, and the Czech Republic, do so much better than the United States in math? I’ve heard all sorts of reasons; diversity and poverty top the list. But after some 15 years conducting international research, I am convinced that it’s the diversity and poverty of U.S. math standards—not the diversity and poverty of U.S. students—that are to blame.
The single most important result of the Third International Mathematics and Science Study (TIMSS) is that we now know that student performance is directly related to the nature of the curricular expectations. I do not mean the instructional practices. I mean the nature of what it is that children are to learn within schools. (In the U.S., the curricular expectations are usually referred to as standards; in other countries they are known by various names.) After all, what is more central to schooling than those things we, as a society, have chosen to pass on to our children?
The TIMSS research has revealed that there are three aspects of math expectations, or standards, that are really important: focus, rigor, and coherence. Let’s take a brief look at each.

“Professor Strengthens Math, Science Education”

Madeline Fisher:

Talk with Terry Millar long enough and it’s bound to happen: The mathematics professor will begin drilling you in math. He’ll slip in a question such as “What is pi?” and before you know it you’re being coached to a whole new level of mathematical understanding.
Linda McQuillen refers to it as having Millar “attend to her mathematics” and as his long-time collaborator she’s well acquainted with the experience.
“Traveling with him [to meetings] and when we’d do presentations for various audiences, on the cab rides to and from the airport, we were always doing mathematics,” laughs McQuillen, a retired math teacher and a former leader of the Madison school district’s math goals. “The problem is, Terry can do it verbally and I can’t. He’s just amazing.”
If Millar’s enthusiasm for teaching math can be overwhelming, it’s also true he has put the energy to good use. For well over a decade, Millar has worked to improve math and science instruction for students at all levels by bringing together the knowledge of university mathematicians and scientists with the teaching and curricular expertise of educators.

Terry Millar and Linda McQuillen participated in the Math Forum. Check out the notes, audio and video here.