School Information System

For Decades, Puzzling People With Mathematics

John Tierney:

For today’s mathematical puzzle, assume that in the year 1956 there was a children’s magazine in New York named after a giant egg, Humpty Dumpty, who purportedly served as its chief editor.
Mr. Dumpty was assisted by a human editor named Martin Gardner, who prepared “activity features” and wrote a monthly short story about the adventures of the child egg, Humpty Dumpty Jr. Another duty of Mr. Gardner’s was to write a monthly poem of moral advice from Humpty Sr. to Humpty Jr.
At that point, Mr. Gardner was 42 and had never taken a math course beyond high school. He had struggled with calculus and considered himself poor at solving basic mathematical puzzles, let alone creating them. But when the publisher of Scientific American asked him if there might be enough material for a monthly column on “recreational mathematics,” a term that sounded even more oxymoronic in 1956 than it does today, Mr. Gardner took a gamble.
He quit his job with Humpty Dumpty.

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A Moo-Moo Here, and Better Test Scores Later

Javier Hernandez:

But it soon became clear that this was a field “study”– as the teachers called it — not a field “trip,” and the 75 Harlem kindergartners were going not only for a glimpse of rural life, but to rack up extra points on standardized tests.
“I want to get smarter,” 5-year-old Brandon Neal said.
“I want to do better on homework and tests,” added Julliana Jimenez, one of his classmates.
New York State’s English and math exams include several questions each year about livestock, crops and the other staples of the rural experience that some educators say flummox city children, whose knowledge of nature might begin and end at Central Park. On the state English test this year, for instance, third graders were asked questions relating to chickens and eggs. In math, they had to count sheep and horses.

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

Tom Friedman via a kind reader’s email:

Last summer I attended a talk by Michelle Rhee, the dynamic chancellor of public schools in Washington. Just before the session began, a man came up, introduced himself as Todd Martin and whispered to me that what Rhee was about to speak about — our struggling public schools — was actually a critical, but unspoken, reason for the Great Recession.
There’s something to that. While the subprime mortgage mess involved a huge ethical breakdown on Wall Street, it coincided with an education breakdown on Main Street — precisely when technology and open borders were enabling so many more people to compete with Americans for middle-class jobs.
In our subprime era, we thought we could have the American dream — a house and yard — with nothing down. This version of the American dream was delivered not by improving education, productivity and savings, but by Wall Street alchemy and borrowed money from Asia.
A year ago, it all exploded. Now that we are picking up the pieces, we need to understand that it is not only our financial system that needs a reboot and an upgrade, but also our public school system. Otherwise, the jobless recovery won’t be just a passing phase, but our future.
“Our education failure is the largest contributing factor to the decline of the American worker’s global competitiveness, particularly at the middle and bottom ranges,” argued Martin, a former global executive with PepsiCo and Kraft Europe and now an international investor. “This loss of competitiveness has weakened the American worker’s production of wealth, precisely when technology brought global competition much closer to home. So over a decade, American workers have maintained their standard of living by borrowing and overconsuming vis-à-vis their real income. When the Great Recession wiped out all the credit and asset bubbles that made that overconsumption possible, it left too many American workers not only deeper in debt than ever, but out of a job and lacking the skills to compete globally.”

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Students give math a bit more thought

Michael Alison Chandler:

The teenagers in Stephanie Nichols’s algebra class have nothing on her blank stare. And they can’t even come close to her best confused expression: eyebrows furrowed, mouth frowning, a flash of ditziness framed by a blond bob.
“Sorry if I’m the slow kid,” she said, slowly, during a lesson on slope. “I don’t get it.” As students calculated problems on the board, she interrupted, “I’m really lost. . . . How did you do that?” Occasionally, she was more blunt: “Huh?”
Nichols’s vacant looks and incessant questions put the students at Arlington County’s Washington-Lee High School in the uncomfortable position of being the math teacher, explaining how the numbers on the white board relate to each other, how algebra actually works.

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Harvard admits to $1.8b gaffe in cash holdings

Beth Healy:

Harvard University, one of the world’s richest educational institutions, stumbled into its financial crisis in part by breaking one of the most basic rules of corporate or family finance: Don’t gamble with the money you need to pay the daily bills.
The university disclosed yesterday that it had lost $1.8 billion in cash – money it relies on for the school’s everyday expenses – by investing it with its endowment fund, instead of keeping it in safe, bank-like accounts. The disclosure was made in the school’s annual report for the fiscal year that ended June 30.
Typically, companies and big institutions manage their cash conservatively in order to have it readily available, by keeping the money in such low-risk investments as money-market mutual funds.
But Harvard placed a large portion of its cash with Harvard Management Co., the entity that runs the university’s endowment and invests in stocks, hedge funds, and other risky assets. It has been widely reported that Harvard Management’s endowment investments were battered in the market crash – down 27 percent in its last fiscal year. Not revealed until yesterday was that the school’s basic cash portfolio had also been caught in the undertow.

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Beware The Reverse Brain Drain To India And China

Vivek Wadhwa:

I spent Columbus Day in Sunnyvale, fittingly, meeting with a roomful of new arrivals. Well, relatively new. They were Indians living in Silicon Valley. The event was organized by the Think India Foundation, a think-tank that seeks to solve problems which Indians face. When introducing the topic of skilled immigration, the discussion moderator, Sand Hill Group founder M.R. Rangaswami asked the obvious question. How many planned to return to India? I was shocked to see more than three-quarters of the audience raise their hands.
Even Rangaswami was taken back. He lived in a different Silicon Valley, from a time when Indians flocked to the U.S. and rapidly populated the programming (and later executive) ranks of the top software companies in California. But the generational difference between older Indians who have made it in the Valley and the younger group in the room was striking. The present reality is this. Large numbers of the Valley’s top young guns (and some older bulls, as well) are seeing opportunities in other countries and are returning home. It isn’t just the Indians. Ask any VC who does business in China, and they’ll tell you about the tens of thousands who have already returned to cities like Shanghai and Beijing. The VC’s are following the talent. And this is bringing a new vitality to R&D in China and India.
Why would such talented people voluntarily leave Silicon Valley, a place that remains the hottest hotbed of technology innovation on Earth? Or to leave other promising locales such as New York City, Boston and the Research Triangle area of North Carolina? My team of researchers at Duke, Harvard and Berkeley polled 1203 returnees to India and China during the second half of 2008 to find answers to exactly this question. What we found should concern even the most boisterous Silicon Valley boosters.

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California math scores among the lowest

Jill Tucker:

f not for the two southern states, California students would be at the bottom of the national heap in mathematics, according to the 2009 Nation’s Report Card released Wednesday.
The abysmal standing, which reflects in part the state’s diverse population, hasn’t changed much over the years. California consistently has ranked among the lowest-scoring states in the biennial National Assessment of Educational Progress, a federally mandated assessment of a sampling of fourth- and eighth-graders across the country.
On the plus side, state students have made steady progress over the years, generally keeping pace with their national counterparts – albeit from the back of the pack.
California’s fourth-graders outscored their peers in only the two southern states and the District of Columbia, and tied five states. Eighth-graders outscored only Mississippi and the District of Columbia, and tied four states.
Overall, California students performed at or below the national average regardless of income or ethnicity.

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NAEP Math 2009: What it All Means

Kevin Carey:

The 2009 state NAEP math results were released today, and they’re disappointing. Fourth grade scores, which have been a great and under-recognized success story over the last two decades, were flat. Eighth grade scores rose slightly. What to conclude? Most broadly, that most of the claims about national education policy, pro and con, have been overwrought.
Supporters of the No Child Left Behind Act-and I’ve generally been one of them-hoped that the law would catalyze a major upward move in student achievement. That hasn’t happened. Perhaps it’s because every state got to choose its own standards; perhaps it’s because the law did little to get better teachers in classrooms; perhaps it’s because yawning revenue disparities between and within states were largely unaddressed. Whatever was missing, something was missing, probably many things, and the next version of ESEA will need significant changes if we want to achieve more than just more of the same.

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45% of Wisconsin Fourth Graders and 39% of Wisconsin Eighth Graders Proficient on the Latest “Nation’s Report Card”

Amy Hetzner:

Fourth- and eighth-graders in Wisconsin have improved their scores on a national mathematics test since the early 1990s, but the gap between the performance of the state’s white and black students has not gotten any better, according to test results released Wednesday.
The state’s math results from the National Assessment of Educational Progress showed little change from the last time scores for those age groups were released two years ago. Fourth-graders in Wisconsin posted the same average score – 244 – that they had two years ago, although the percentage of students deemed proficient or higher in math slid to 45% from 47%. The average score for eighth-graders rose slightly to 288 on a 500-point scale, with the proficiency rate rising as well, to 39%.
“Wisconsin has made slow but steady gains in mathematics achievement for both overall achievement and for most subgroups of students,” State Superintendent Tony Evers said in a news release about the results. “However, achievement gaps, in particular for African-American students in Wisconsin, are too large. We must do more.”
The NAEP – also called the nation’s report card – is given to samples of students to monitor progress on a statewide basis. In Wisconsin, questions from the math test were given to 3,830 fourth-graders and 3,474 eighth-graders from January to March this year. The test does not attempt to gauge performance by individual school districts.

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

Sean Cavanagh:

Three years after calling for a reordering of elementary and middle school math curricula, the nation’s largest group of math teachers is urging a new approach to high school instruction, one that aims to build students’ ability to choose and apply the most effective problem-solving techniques, in the classroom and in life.
Cultivating those skills will make math more useful, and more meaningful, to students, the National Council of Teachers of Mathematics argues in a document scheduled for release this week.
Focus in High School Mathematics: Reasoning and Sense Making” is a follow-up to the NCTM’s 2006 document, “Curriculum Focal Points,” which offered grade-by-grade content standards in math for prekindergarten through 8th grade. “Focal Points” won general praise in math circles, even from some of the NCTM’s strongest critics.
The high school document has both a different purpose and a different structure. It is not a suggested set of content standards, but rather a framework that attempts to show how skills that the NCTM considers essential–reasoning and sense-making–can be promoted across high school math.

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More on Singapore Math & The Madison School District

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

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

Dawn Stiegert @ The Madison Metropolitan School District:

The national mathematics conference on Cognitively Guided Instruction (CGI) had a strong Madison School District presence, with teachers there as presenters and attendees.
MMSD teachers involved with the Expanding Math Knowledge grant had the opportunity to attend the conference this summer in San Diego. EMK was a two-year grant funded by the WI Dept. of Public Instruction. The MMSD Dept. of Teaching and Learning collaborated with the UW-Madison College of Education to provide continued and expanded math education for approximately 40 teachers in grades 3-5.

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Innovative math program boosts scores at O.C. schools

Seema Mehta:

In the airy computer lab at Romero-Cruz Elementary School in Santa Ana, 11-year-old Davis Nguyen quickly completed math problems. Each correct answer let an animated penguin named JiJi take steps across a bridge. The computer game looked simple, but backers say it is part of an innovative and powerful new way to teach math, and standardized test results released Tuesday appear to back up their claims.
Across the state, schools saw a 4.5% increase in the number of elementary students scoring “proficient” or “advanced” in math. But 64 Orange County elementary schools that took part in a math program created by the nonprofit MIND Research Institute saw a nearly 13% increase in the number of students scoring in those top levels.
The achievement buoyed the schools’ rating as well.

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Math illiteracy

This site continues to mention math curricula challenges from time to time, and as long as I am around, and have community math experiences, it will continue to do so.
I try to visit Madison’s wonderful Farmer’s Market weekly. This past weekend, I purchased some fabulous raspberries from an older Hmong couple. Their raspberries are the best. Unfortunately, while I made my purchase, they asked how much change I was due, something I saw repeated with other buyers. They periodically have a younger person around to handle the transactions, or a calculator.
Purchasing tickets at high school sporting events presents yet another opportunity to evaluate high schooler’s basic, but ESSENTIAL math skills. A Dane County teenager could not make change from $10 for three $2 tickets recently. I have experienced this at local retail establishments as well.
Unfortunately, the “Discovery” approach to math does not appear work….

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

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

The mathematics committee of the junior high schools of Madison has been meeting regularly for four rears with one intention in mind — to improve the mathematics program of the junior high school. After experimenting with three programs in the 7th grade, the Seeing Through Mathematics series, Books 1 and 2, were recommended for adoption and approved in May of 1963.
The committee continued its leadership role in implementing the new program and began evaluation of the 9th grade textbooks available. The committee recommended the adoption of Seeing Through Mathematics, Book 3, published by Scott, Foresman and Company, and Algebra: Its Element and Structure, Book 1, published by Webster Division, McGraw-Hill Book Company, and the Board of Education adopted them on May 3, 1965.
A number of objections to the Seeing Through Mathematics textbooks were made by various University of Wisconsin professors. Dr. R. C. Buck, chairman of the University of Wisconsin Mathematics Department strongly criticized the series. A public objection to the adoption was made at the Board of Education meeting by Dr. Richard Askey of the University Mathematics Department. Later, a formal petition of protest against the adoption of Seeing Through Mathematics, Book 3, was sent to committee members. [related: 2006 Open Letter from 35 UW-Madison Math Professors about the Madison School District’s Math Coordinator position]
The sincerity of the eminently qualified professional mathematicians under Dr. Buck’s chairmanship was recognized by both the administration and the committee as calling for reconsideration of the committee’s decisions over the past three years relative to the choice of Seeing Through Mathematics 1, 2 and 3.
Conversely, the support of the Scott, Foresman and. Company mathematics program and its instruction philosophy, as evidenced by numerous adoptions throughout the country and the pilot studies carried out in the Madison Public Schoolsvindicated that equitable treatment of those holding diametric viewpoints should be given. It was decided that the interests of the students to be taught would be best served through a hearing of both sides before reconsideration.
A special meeting of the Junior High School. Mathematics committee was held on June 10, 1965.
Meeting 1. Presentations were made by Dr. R. C. Buck, Dr. Richard Askey, and Dr. Walter Rudin of the University of Wisconsin Mathematics Department, and Dr. J. B. Rosen, chairman-elect of the University of Wisconsin Computer Sciences Department.
The presentations emphasized the speakers’ major criticism of the Seeing Through Mathematics series — “that these books completely distort the ideas and spirit of modern mathematics, and do not give students a good preparation for future mathematics courses. Examples were used to show that from the speakers’ points of view the emphasis in Seeing Through Mathematics is wrong. They indicated they felt the language overly pedantic, and the mathematics of the textbooks was described as pseudo-mathematics. However, it was pointed out that the choice of topics was good the content was acceptable (except for individual instances), and the treatment was consistent. A question and answer session tollowed the presentations.
……….
After careful consideration of all points of view, the committee unanimously recommended:

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

Related: The recent Madison School District Math Task Force.
Britannica on deja vu.

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Significant Gender Gap on the PSAT Math Test

Mark Perry:

The table above (click to enlarge) is based on PSAT scores in 2008 for college-bound juniors for males and females taking the mathematics exam, showing the results for the five geographical regions of the U.S. For both males and females, the highest scores were in the Midwest states, similar to the findings for the SAT test results, reported yesterday on the NY Times Economix blog, “Why The Midwest Rules on the SAT.”
The results also show a significant gender gap in favor of males for the mean math test scores in all five regions, with mean male test scores ranging from 3.2 points higher in the Midwest (52.2 for males vs. 49 for females)to a low of 2.5 points higher in the South (50 points for males vs. 47.5 for females). In all five regions, the standard deviation of male test scores was higher than the standard deviation of female test scores, confirming previous findings of greater variability in male intelligence/scores on standardized tests.

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To Take or Not to Take AP and IB

Jay Matthews:

The Question:

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

My Answer:

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

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My summer at the Woodstock for technologists

Simon Daniel:

It’s not every day you move an atom with a mouse click. But this is precisely what I do one day at the Singularity University, a new institution supported by Google and Nasa, which aims to educate a select group of entrepreneurs and scientists about the rapid pace of technology.
The class of 40 students – who are taking time out of their working lives – has settled into a busy routine. Our 12-hour days are crammed with experiments, visits to technology centres including IBM and Willow Garage, and discussion with experts. The purpose is to open our eyes to the pace of change and future possibilities.
On Wednesday we arrive at IBM Almaden research centre, a series of black glass buildings in the hills near San Jose. Unassuming office doors open to reveal scientists working away in a scene reminiscent of a sci-fi movie. We meet Kevin Roche, who is building complex machines that can deposit thin films of atoms to form nano-scale devices.
This is where, in 1989, the physicist Donald Eigler built a scanning tunnelling microscope and demonstrated the ability precisely to manipulate individual atoms by rearranging xenon atoms to spell out IBM. In homage, we use a similar machine and write SU (for Singularity University) by selecting iron atoms with a mouse and nudging them across the screen.
We open another door and witness magnetic “racetrack” memory experiments. This is the idea of storing data in magnetic field domains that can then slide or “race” along nano-wires so they can be read quickly. The idea may help our future portable devices to store hundreds of times more video.

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

Tom Foremski:

using single numbers in spreadsheets used to model financial risk and instead use a “distribution” – a range of numbers. He says that by using a distribution or “dist” we would be able to not only produce better models of uncertainty but we would avoid fundamental mistakes in modeling financial and operational performance.
Mr Savage recently published a book “The Flaw of Averages – Why we underestimate risk in the face of uncertainty” which explains his evangelism for the use of dists within financial models of risk.
Currently, the most widely used method of predicting uncertainty is to use single numbers, usually representing a single average of expected outcomes.
However, models based on average assumptions are wrong on average. This is a paradox that has been known by mathematicians for nearly 100 years, called Jensen’s Inequality. Although business schools teach Jensen’s Inequality, business managers continue to use average numbers to try to model things like demand, production, and project completion time. And they are constantly surprised by real world outcomes that can be very costly.

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Schools Boost Science, Math With Hands-On Teaching

Christy Goodman:

To answer the age-old question “When am I going to use this?,” school systems in Calvert, Charles and St. Mary’s counties are working to enrich their science, technology, engineering and mathematics programs by using hands-on teaching, guest speakers and real-world experiments and applications.
Charles is expanding its Gateway to Technology to all middle schools after a successful pilot program last year, school system spokeswoman Katie O’Malley-Simpson said. The program is part of the nationally recognized Project Lead the Way curriculum, which supports engineering and science.
“It focuses on showing, rather than telling, students how to use engineering in everyday problems,” O’Malley-Simpson said. “They see that because they are applying their skills as they learn them.”

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US Students are Average on International Tests

US Department of Education:

Major findings include:
Reading
In PIRLS 2006, the average U.S. 4th-graders’ reading literacy score (540) was above the PIRLS scale average of 500, but below that of 4th-graders in 10 of the 45 participating countries, including 3 Canadian provinces (Russian Federation, Hong Kong, Alberta, British Columbia, Singapore, Luxembourg, Ontario, Hungary, Italy, and Sweden).
Among the 28 countries that participated in both the 2001 and 2006 PIRLS assessments, the average reading literacy score increased in 8 countries and decreased in 6 countries. In the rest of these countries, including the United States, there was no measurable change in the average reading literacy score between 2001 and 2006. The number of these countries that outperformed the United States increased from 3 in 2001 to 7 in 2006.
Mathematics
The 2007 TIMSS results showed that U.S. students’ average mathematics score was 529 for 4th-graders and 508 for 8th-graders. Both scores were above the TIMSS scale average, which is set at 500 for every administration of TIMSS at both grades, and both were higher than the respective U.S. score in 1995.
Fourth-graders in 8 of the 35 other countries that participated in 2007 (Hong Kong, Singapore, Chinese Taipei, Japan, Kazakhstan, Russian Federation, England, and Latvia) scored above their U.S. peers, on average; and 8th-graders in 5 of the 47 other countries that participated in 2007 (Chinese Taipei, Korea, Singapore, Hong Kong, and Japan) scored above their U.S. peers, on average.
Among the 16 countries that participated in both the first TIMSS in 1995 and the most recent TIMSS in 2007, at grade 4, the average mathematics score increased in 8 countries, including in the United States, and decreased in 4 countries. Among the 20 countries that participated in both the 1995 and 2007 TIMSS at grade 8, the average mathematics score increased in 6 countries, including in the United States, and decreased in 10 countries.
In PISA 2006, U.S. 15-year-old students’ average mathematics literacy score of 474 was lower than the OECD average of 498, and placed U.S. 15-year-olds in the bottom quarter of participating OECD nations, a relative position unchanged from 2003.
Fifteen-year-old students in 23 of the 29 other participating OECD-member countries outperformed their U.S. peers.
There was no measurable change in U.S. 15-year-olds’ average mathematics literacy score between 2003 and 2006, in its relationship to the OECD average, or in its relative position to the countries whose scores increased or decreased.
Science
The 2007 TIMSS results showed that U.S. students’ average science score was 539 for 4th-graders and 520 for 8th-graders. Both scores were above the TIMSS scale average, which is set at 500 for every administration of TIMSS at both grades, but neither was measurably different than the respective U.S. score in 1995.
Fourth-graders in 4 of the 35 other countries that participated in 2007 (Singapore, Chinese Taipei, Hong Kong, and Japan) scored above their U.S. peers, on average; and 8th-graders in 9 of the 47 other countries that participated in 2007 (Singapore, Chinese Taipei, Japan, Korea, England, Hungary, the Czech Republic, Slovenia, and the Russian Federation) scored above their U.S. peers, on average.
While there was no measurable change in the average score of U.S. 4th-graders or 8th-graders in science between 1995 and 2007, among the other 15 countries that participated in the 1995 and 2007 TIMSS at grade 4, the average science score increased in 7 countries and decreased in 5 countries; and among the other 18 countries that participated in both the 1995 and 2007 TIMSS at grade 8, the average science score increased in 5 countries and decreased in 3 countries.
In PISA 2006, U.S. 15-year-old students’ average science literacy score of 489 was lower than the OECD average of 500, and placed U.S. 15-year-olds in the bottom third of participating OECD nations. Fifteen-year-old students in 16 of the 29 other participating OECD-member countries outperformed their U.S. peers in terms of average scores.
Technical notes about the data sources, methodology, and standard errors are included at the end of this report.

Joanne has more.

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Pilot math project involves SRI, USF and Helios Education Foundation

Tampa Bay Business Journal:

SunBay Digital Mathematics, a math education pilot project, began this week in Pinellas County.
The Helios Education Foundation and the Pinellas County School District are partnering with SRI International and the University of South Florida’s College of Education in a project to set the direction for middle school mathematics, a release said.
The one-year project involves 15 seventh-grade teachers in seven Pinellas schools. They will attend workshops and monthly meetings focused on using technology-based curriculum based on advanced math concepts.
The Pinellas Education Foundation is the fiscal agent for funding the project.

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Madison School District Elementary Math Curriculum Purchases

Superintendent Dan Nerad [64K PDF]:

MMSD has begun a three-year implementation plan to achieve an equitable and balanced mathematics program at tbe elementary level. The plan was developed and refined through collaboration with teachers, Instructional Resource Teachers and principals over the course of the past several years. The plan includes the materials described below (details via this 64K PDF),
With the attached order, MMSD has provided each classroom teacher in the District with a Learning Mathematics in the Primary/Intermediate Grades instructional guide and the set of teacher resources from the Investigations program. The third component of the teacher materials is Teaching Student Centered Mathematics by John Van de Walle, which is in place in most classrooms but will continue to be ordered using ELM or Title I funds, as necessary. Additional professional resources have been or are being purchased at the building level to create a library available for all staff to access as needed. Those resources include Primary Mathematics textbooks and teacher guides, Thinking Mathematically and Children’s Mathematics by Thomas Carpenter, Teaching Number series from Wright, among other recommended titles.
MMSD has provided all Title I schools with the Primary Mathematics (Singapore) workbooks and Extra Practice workbooks for the 2009-2010 school year. All manipulatives have been ordered for Title I schools over tbe past two years and are in place. Non-Title I schools have been and will continue to use ELM funds to purchase tbe student components for the implementation of a balanced mathematics classroom.

Related:

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For Today’s Graduate, Just One Word: Statistics

Steve Lohr:

At Harvard, Carrie Grimes majored in anthropology and archaeology and ventured to places like Honduras, where she studied Mayan settlement patterns by mapping where artifacts were found. But she was drawn to what she calls “all the computer and math stuff” that was part of the job.
“People think of field archaeology as Indiana Jones, but much of what you really do is data analysis,” she said.
Now Ms. Grimes does a different kind of digging. She works at Google, where she uses statistical analysis of mounds of data to come up with ways to improve its search engine.
Ms. Grimes is an Internet-age statistician, one of many who are changing the image of the profession as a place for dronish number nerds. They are finding themselves increasingly in demand — and even cool.
“I keep saying that the sexy job in the next 10 years will be statisticians,” said Hal Varian, chief economist at Google. “And I’m not kidding.”

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Discovery learning in math: Exercises versus problems Part I

Barry Garelick, via email:

By way of introduction, I am neither mathematician nor mathematics teacher, but I majored in math and have used it throughout my career, especially in the last 17 years as an analyst for the U.S. Environmental Protection Agency. My love of and facility with math is due to good teaching and good textbooks. The teachers I had in primary and secondary school provided explicit instruction and answered students’ questions; they also posed challenging problems that required us to apply what we had learned. The textbooks I used also contained explanations of the material with examples that showed every step of the problem solving process.
I fully expected the same for my daughter, but after seeing what passed for mathematics in her elementary school, I became increasingly distressed over how math is currently taught in many schools.
Optimistically believing that I could make a difference in at least a few students’ lives, I decided to teach math when I retire. I enrolled in education school about two years ago, and have only a 15-week student teaching requirement to go. Although I had a fairly good idea of what I was in for with respect to educational theories, I was still dismayed at what I found in my mathematics education courses.
In class after class, I have heard that when students discover material for themselves, they supposedly learn it more deeply than when it is taught directly. Similarly, I have heard that although direct instruction is effective in helping students learn and use algorithms, it is allegedly ineffective in helping students develop mathematical thinking. Throughout these courses, a general belief has prevailed that answering students’ questions and providing explicit instruction are “handing it to the student” and preventing them from “constructing their own knowledge”–to use the appropriate terminology. Overall, however, I have found that there is general confusion about what “discovery learning” actually means. I hope to make clear in this article what it means, and to identify effective and ineffective methods to foster learning through discovery.

Garelick’s part ii on Discovery learning can be found here.
Related: The Madison School District purchases Singapore Math workbooks with no textbooks or teacher guides. Much more on math here.

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

Austin Modine:

Bill Gates called US immigration restrictions a “huge mistake” while on tour of India today, urging America to open its golden doors for more “smart people.”
The Microsoft billionaire spoke out on US immigration at a software CEO forum Monday in New Deli while visiting the country to receive the Indira Gandhi Prize for Peace, Disarmament, and Development.
“I have been speaking about some of the immigration restrictions that the US has got involved in, and they are terrible for the US and also terrible for the world,” India’s national newspaper The Hindu quotes Gates saying. “The US Congress is very tough on immigration, in general. And my position has been, well, that is unfortunate, but what about making an exception for smart people, people with engineering degrees and letting such people come in.”
Adding that Microsoft has always been against tougher immigration laws, Gates said stricter US policy would be a “huge mistake.”

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

Jessie Mangaliman:

Maria Mendoza is hunkered over her math workbook, diligently copying a work sheet, “Adding 3 & 4 Digit Numbers.” She had copied it once already, and completed the problems. But there were two minor errors and the math teacher, Agnes Kaiser, had returned it to be done over.
Mendoza, 13, happily complied.
“Now I get it,” she said, satisfied.
Maria, who will be in eighth grade this fall at Graham Middle School, was one of 81 students from Mountain View in the four-week summer math program that ended Friday at Foothill College in Los Altos.
This is no ordinary summer math camp for students behind many grades in their learning of math. The curriculum used to teach Maria and other students is Math My Way, the program the college has been using successfully for years to teach intensive, remedial math to incoming community college students with elementary-level math skills. The camp was funded with a $77,000 grant from the Silicon Valley Community Foundation, part of an initiative to close the education achievement gap, a learning disparity among different racial groups.

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Wash. Board of Education revises math requirement

AP:

The State Board of Education has made a minor revision in the high school math credit requirements.
During a meeting in Gig Harbor on Friday, the board gave students more flexibility in their choices for high school math.
The board decided earlier that beginning with the class of 2013, high school students will be required to earn three credits of math to earn a diploma.
When the requirement was changed, the state rule said students who took a high school level math class without credit as an eighth grader were required to repeat that same course for credit in high school.

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Education reform in Massachusetts A chance for charters

The Economist:

Independent public schools may be getting a chance in the Bay State
MASSACHUSETTS ranks at or near the top of national measures of how well schoolchildren do at reading and mathematics. A leader in early-years education, it is also applauded for its vocational, technical and agriculture schools. Still, there are problems. The disparity between students in affluent districts and those in low-income urban ones is shocking. In the Concord/Carlisle school district, for instance, 92% of students graduated from high-school on time and planned to attend a four-year college or university in 2007, compared with just 12.8% in Holyoke, one of the poorest cities in the state.
Many states have turned to charter schools (self-governing publicly-funded schools) to close achievement gaps like that, but charters are a tricky subject in Massachusetts even though the few they do have, such as Boston Collegiate, are among the best in the country. Unions abhor them while the school boards that run most public schools fear losing power and funding. Politicians have been unwilling to take on Massachusetts’s mighty unions.
Last year Deval Patrick, the self-styled “education governor” of the state, unveiled a 55-point plan to overhaul the state’s education system. The governor’s package includes the introduction of three types of “readiness schools” to turn around poorly performing districts. Like charters, they will have greater flexibility, autonomy and will be held accountable for their results. But they will not be fully independent, remaining under the control of local school boards. Mr Patrick will introduce a bill authorising these schools later this month. One sort would have an external partner, such as a university, while another would be teacher-led.

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A failing grade for Maryland math

Liz Bowie:

Maryland’s public schools are teaching mathematics in such a way that many graduates cannot be placed in entry-level college math classes because they do not have a grasp of the basics, according to education experts and professors.
College math professors say there is a gap between what is taught in the state’s high schools and what is needed in college. Many schools have de-emphasized drilling students in basic math, such as multiplication and division, they say.
“We have hordes of students who come in and have forgotten their basic arithmetic,” said Donna McKusick, dean for developmental education at the Community College of Baltimore County. College professors say students are taught too early to rely on calculators. “You say, ‘What is seven times seven?’ and they don’t know,” McKusick said.
Ninety-eight percent of Baltimore students signing up for classes at Baltimore City Community College had to pay for remedial classes to learn the material that should have been covered in high school. Across Maryland, 49 percent of the state’s high school graduates take remedial classes in college before they can take classes for credit.

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

Library of Congress Vatican Exhibit:

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

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Why America is flunking science

Chris Mooney and Sheril Kirshenbaum:

In the recent Tom Hanks/Ron Howard film “Angels & Demons,” science sets the stage for destruction and chaos. A canister of antimatter has been stolen from CERN — the European Organization for Nuclear Research — and hidden in the Vatican, set to explode right as a new pope is about to be selected.
Striving to make these details as realistic as possible on screen, Howard and his film crew visited CERN, used one of its physicists as a science consultant, and devoted meticulous care to designing the antimatter canister that Hanks’ character, Robert Langdon, and his sexy scientist colleague, Vittoria Vetra (Ayelet Zurer), wind up searching for.
But there was nothing they could do about the gigantic impossibility at the center of the plot. While the high-energy proton collisions generated at CERN do occasionally produce minute quantities of antimatter — particles with the opposite electrical charge as protons and electrons, but the same mass, which can in turn be combined into atoms like antihydrogen — it’s not remotely enough to power a bomb. As CERN quips on a Web site devoted to “Angels & Demons,” antimatter “would be very dangerous if we could make a few grams of it, but this would take us billions of years.”

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

Andrew Levy:

When the Bamberger family opened a haberdashery 65 years ago, they insisted their staff use mental arithmetic to price up customers’ purchases.
Despite the arrival of calculators, that attitude has remained unchanged over the intervening years.
But now the family finds itself facing an unexpected maths problem – most youngsters it would like to employ are incapable of working out sums in their heads.

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Mathematics Learning in Early Childhood: Paths Toward Excellence and Equity

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

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


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

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

The Woodrow Wilson National Fellowship Foundation:

The Woodrow Wilson Indiana Teaching Fellowship seeks to attract talented, committed individuals with backgrounds in the STEM fields–science, technology, engineering, and mathematics–into teaching in high-need Indiana high schools. Learn more…
Funded through a $10 million grant from the Lilly Endowment, the Fellowship offers rigorous disciplinary and pedagogical preparation, extensive clinical experience, and ongoing mentoring. Eligible applicants include current undergraduates, recent college graduates, midcareer professionals, and retirees who have majored in, or had careers in, STEM fields.

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

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How I Spent My Summer: Hacking Into iPhones With Friends

Yukari Iwatani Kane:

Like many teenagers, Ari Weinstein spends his summers riding his bike and swimming. This year, the 15-year-old had another item on his to-do list: Foil Apple Inc.’s brightest engineers and annoy chief executive Steve Jobs.
Ari is part of a loose-knit group of hackers that has made it a mission to “jailbreak” Apple’s iPhone and iPod touch. The term refers to installing unapproved software that lets people download a range of programs, including those not sanctioned by Apple.
Since Apple began selling its latest iPhone 3GS on June 19, Ari and six online cohorts spent hours a day probing the new product for security holes. This weekend, one of the member of the group, dubbed the Chronic Dev Team, released the jailbreaking software they’ve been working on. Ari says the program is a test version with some bugs, but that users have successfully downloaded it. A quarter-million people have visited the site, he says.
“Coding and testing things that may or may not work, and figuring things out, is a really rewarding experience,” says Ari, a Philadelphia resident who began hacking when he was 11.

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Wisconsin’s New K-12 Academic Standards

Alan Borsuk:

Wisconsin education officials are aiming to move into the national mainstream by setting firmer standards for what children should learn in school and finding better ways to measure achievement.
A new report from the American Diploma Project praises Wisconsin’s proposed new set of standards for high school English and math. The report is the latest of several indications that changes are being made when it comes to student expectations – and that others are noticing.
Wisconsin built a reputation in recent years for having loosely written state standards. The state was viewed as setting the bar about as low as anywhere in the country in determining if students were proficient, and taking too rosy an approach to deciding whether schools were getting adequate results.
Several national groups, some of them with conservative orientations but others harder to peg politically, criticized the state for its softness.
The report from the Diploma Project, issued last week, says that in revising its statement of what students are expected to learn in English and math, “Wisconsin has taken an important step to better prepare young people for success in post-secondary education and in their careers.”

Much more on the WKCE here.

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

Lauren Wiseman:

Doris Broome DeBoe, who became one of the District’s leading math teachers, said she was drawn to the subject because it was absolute. Where other subjects were subjective, she said, math was exact.
“Once you understand what you are doing, there is no deviation,” she said.
As a teacher, she believed in endless math drills, nightly homework and practice. She described herself not as a harsh instructor but as one who thought algebra is “a skill like ball playing and piano playing. Once you learn the basics, practice is necessary to ensure mastery.”
She said every child had the potential to do well in class. “My best dog is the underdog,” she told her students.
Her conviction motivated many students. Michael Bell, a student at Bertie Backus Middle School in the mid-1970s, said Mrs. DeBoe was the inspiration for creating his math preparation company, Acaletics, which helps develop curriculums and training programs within the Florida public school system. His company follows the same basic formula as Mrs. DeBoe’s teaching: Practice makes perfect.

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A Bank Run Teaches the ‘Plain People’ About the Risks of Modernity

Douglas Belkin:

Dan Bontrager is a 54-year-old Amish man with flecks of gray in his long beard. He’s also treasurer of the Tri-County Land Trust, an Amish lending cooperative created to support the Amish maxim that community enhances faith in God.
This past spring, Mr. Bontrager was startled when a number of men he has known most of his life tied their horses to the hitching post outside his office and came inside to withdraw their money from the Land Trust.
“We had a run,” Mr. Bontrager says. “I don’t know if you know anything about the Amish grapevine, but word travels fast. Somebody assumed it was going to happen, and it started a panic.”

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

Anneliese Dickman:

The Public Policy Forum’s latest report, released today, finds that of the 10 career clusters predicted to grow the most over the next five years, seven include occupations requiring strong backgrounds in science, math, technology, or engineering (STEM). Of the 10 specific jobs predicted to be the fastest growing in the state, eight require STEM skills or knowledge and six require a post-secondary degree.
Do Wisconsin’s state educational policies reflect this growing need for STEM-savvy and skilled workers? Are Wisconsin education officials focusing on STEM in a coherent and coordinated way? Our new report probes those issues by examining state workforce development data and reviewing state-level policies and standards that impact STEM education.
We present several policy options that could be considered to build on localized STEM initiatives and establish a greater statewide imperative to prioritize STEM activities in coordination with workforce needs. Those include:

Amy Hetzner has more.

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A Formula for Changing Math Education

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

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

BBC:

Italian researchers found people were better at processing information when requests were made on that side in three separate tests.
They believe this is because the left side of the brain, which is known to be better at processing requests, deals with information from the right ear.
The findings are reported online in the journal Naturwissenschaften.

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American IT grads unprepared and unemployable: Indian CEO Vineet Nayar

Richi Jennings:

Vineet Nayar is reported to have called Americans graduates “unemployable”; the CEO of IT services vendor HCL Technologies was speaking recently in New York. In IT Blogwatch, bloggers debate racism, stereotyping, sweatshops, and H1B visas.
By Richi Jennings, your humble blogwatcher, who has selected these bloggy tidbits for your enjoyment. Not to mention the best gaming toilets…
Rob Preston reports inflammatory comments with dignity:

via Lou Minatti.

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

Ed Yong:

History has had no shortage of outstanding female mathematicians, from Hypatia of Alexandria to Ada Lovelace, and yet no woman has ever won the Fields medal – the Nobel prize of the maths world. The fact that men outnumber women in the highest echelons of mathematics (as in science, technology and engineering) has always been controversial, particularly for the persistent notion that this disparity is down to an innate biological advantage.
AdaLovelace.jpgNow, two professors from the University of Wisconsin – Janet Hyde and Janet Mertz – have reviewed the strong evidence that at least in maths, the gender gap is down to social and cultural factors that can help or hinder women from pursuing the skills needed to master mathematics.
The duo of Janets have published a review that tackles the issue from three different angles. They considered the presence of outstanding female mathematicians. Looking beyond individuals, they found that gender differences in maths performance don’t really exist in the general population, with girls now performing as well as boys in standardised tests. Among the mathematically talented, a gender gap is more apparent but it is closing fast in many countries and non-existent in others. And tellingly, the size of the gap strongly depends on how equally the two sexes are treated.

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Girls vs. Boys at Math

Joyce Gramza:

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

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

Mark Perry:

The tables above show selected statistics from the paper Global Sex Differences in Test Score Variability (see summary here), published by two economists, one from the London School of Economics and the other from the Helsinki School of Economics. Analyzing standardized test scores in reading and mathematics from the OECD’s “Program for International Student Assessment” (PISA), a survey of 15-year olds in 41 industrialized countries, the authors found that:
Our analysis of international test score data shows a higher variance in boys’ than girls’ results on mathematics and reading tests in most OECD countries. Higher variability among boys is a salient feature of reading and mathematics test performance across the world. In almost all comparisons, the age 15 boy-girl variance difference in test scores is present. This difference in variance is higher in countries that have higher levels of test score performance.

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Connecticut District Retools High School Math Instruction

Jessica Calefati:

Mathematics teachers in one coastal Connecticut school district were frustrated with students’ inability to retain what they learned in Algebra I and apply it to Algebra II, so they decided to approach high school mathematics instruction in a new way. The teachers shrank the number of topics covered in each course by about half and published their custom-made curriculum online last fall, the New York Times reports.
The new curriculum’s lessons were written by Westport, Conn., teachers and sent to HeyMath! of India, a company that adds graphics, animation, and sound to the lessons before posting them on the Web. But teachers say the new curriculum is as much about bringing classroom instruction into the digital age as it is about having the opportunity to teach students fewer concepts in greater depth.
Westport’s decision to rewrite its math curriculum is part of a growing trend to re-evaluate “mile-wide, inch-deep” instruction. In 2006, the National Council of Teachers of Mathematics pushed for more basic math skills instruction, and two years later a federal panel of investigators appointed by then President George W. Bush also urged schools to whittle down their elementary and middle school math curricula.

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Wisconsin Math Standards

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

There is an effort under way to rewrite the Wisconsin math state standards. Comments from the public are invited until this coming Monday (June 15).
Some math professors at UW-Madison believe the draft could use some improvement and encourage folks to review the standards and submit comments via a survey all of which can found at: http://dpi.wi.gov/cal/standards-revisions.html

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

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

Annie Osborn in the Boston Globe:

Teen’s lessons from China. I am a product of an American private elementary school and public high school, and I am accustomed to classrooms so boisterous that it can be considered an accomplishment for a teacher to make it through a 45-minute class period without handing out a misdemeanor mark. It’s no wonder that the atmosphere at Yanqing No. 1 Middle School (“middle school” is the translation of the Chinese term for high school), for students in grades 10-12, seems stifling to me. Discipline problems are virtually nonexistent, and punishments like lowered test scores are better deterrents for rule breaking than detentions you can sleep through.
But what does surprise me is that, despite the barely controlled chaos that simmers just below the surface during my classes at Boston Latin School, I feel as though I have learned much, much more under the tutelage of Latin’s teachers than I ever could at a place like Yanqing Middle School, which is located in a suburb of Beijing called Yanqing.
Students spend their days memorizing and doing individual, silent written drills or oral drills in total unison. Their entire education is geared toward memorizing every single bit of information that could possibly materialize on, first, their high school entrance exams, and next, their college entrance exams. This makes sense, because admission to public high schools and universities in China is based entirely on test scores (although very occasionally a rich family can buy an admission spot for their child), and competition in the world’s most populous country to go to the top schools makes the American East Coast’s Harvard-or-die mentality look puny.
Chinese students, especially those in large cities or prosperous suburbs and counties and even some in impoverished rural areas, have a more rigorous curriculum than any American student, whether at Charlestown High, Boston Latin, or Exeter. These students work under pressure greater than the vast majority of US students could imagine.

(more…)

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Math & Science: China dominates NSA-backed coding contest

Patrick Thibodeau:

Programmers from China and Russia have dominated an international competition on everything from writing algorithms to designing components.
Whether the outcome of this competition is another sign that math and science education in the U.S. needs improvement may spur debate. But the fact remains: Of 70 finalists, 20 were from China, 10 from Russia and two from the U.S.
TopCoder Inc., which runs software competitions as part of its software development service, operates TopCoder Open, an annual contest.
About 4,200 people participated in the U.S. National Security Agency-supported challenge. The NSA has been sponsoring the program for a number of years because of its interest in hiring people with advanced skills.
Participants in the contest, which was open to anyone — from student to professional — and finished with 120 competitors from around the world, went through a process of elimination that finished this month in Las Vegas.
China’s showing in the finals was also helped by the sheer volume of its numbers, 894. India followed at 705, but none of its programmers were finalists. Russia had 380 participants; the United States, 234; Poland, 214; Egypt, 145; and Ukraine, 128, among others.

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Alternative Teacher Certification Works

UW-Madison professors Peter Hewson and Eric Knuth took up a valid cause in their May 15 guest column when they voiced concerns about having under-prepared teachers in Wisconsin classrooms.
But they’re off base in implying that alternative certification programs such as the American Board for Certification of Teacher Excellence, proposed in SB 175, will mean more students won’t have effective teachers.
Research has shown otherwise.
A recent study in “Education Next” showed states with genuine alternative certification programs see higher test scores and more minority teachers. A Brookings Institute study from 2006 showed that teachers who have come through colleges of education are no more effective than teachers who come through an alternative certification program or no certification program at all.
In addition, ABCTE’s rigorous teacher preparation program includes nearly 200 hours of workshops on topics such as pedagogy and classroom assessment. Our exams are difficult, with only 40 percent of candidates passing on the first try. As a result, our teacher retention rate is 85 percent after three years, compared to less than 65 percent for traditional certification routes.
I understand Hewson and Knuth’s motivation for suggesting that an alternative to traditional certification may not produce great teachers. That philosophy is good for their employer, but not — as research has shown — any better for students.
/– David Saba, president, ABCTE, Washington, D.C./

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A Mathematician’s Lament

Sara Bennett:

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

A musician wakes from a terrible nightmare. In his dream he finds himself in a society where music education has been made mandatory. “We are helping our students become more competitive in an increasingly sound-filled world.” Educators, school systems, and the state are put in charge of this vital project. Studies are commissioned, committees are formed, and decisions are made–all without the advice or participation of a single working musician or composer.
Since musicians are known to set down their ideas in the form of sheet music, these curious black dots and lines must constitute the “language of music.” It is imperative that students become fluent in this language if they are to attain any degree of musical competence; indeed, it would be ludicrous to expect a child to sing a song or play an instrument without having a thorough grounding in music notation and theory. Playing and listening to music, let alone composing an original piece, are considered very advanced topics and are generally put off until college, and more often graduate school.

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

Thanks much for taking the time from your busy schedule to respond to our letter below.  I am delighted to note your serious interest in the topic of how to obtain middle school teachers who are highly qualified to teach mathematics to the MMSD’s students so that all might succeed.  We are all in agreement with the District’s laudable goal of having all students complete algebra I/geometry or integrated algebra I/geometry by the end of 10th grade.  One essential component necessary for achieving this goal is having teachers who are highly competent to teach 6th- through 8th-grade mathematics to our students so they will be well prepared for high school-level mathematics when they arrive in high school.
The primary point on which we seem to disagree is how best to obtain such highly qualified middle school math teachers.  It is my strong belief that the MMSD will never succeed in fully staffing all of our middle schools with excellent math teachers, especially in a timely manner, if the primary mechanism for doing so is to provide additional, voluntary math ed opportunities to the District’s K-8 generalists who are currently teaching mathematics in our middle schools.  The District currently has a small number of math-certified middle school teachers.  It undoubtedly has some additional K-8 generalists who already are or could readily become terrific middle school math teachers with a couple of hundred hours of additional math ed training.  However, I sincerely doubt we could ever train dozens of additional K-8 generalists to the level of content knowledge necessary to be outstanding middle school math teachers so that ALL of our middle school students could be taught mathematics by such teachers.
Part of our disagreement centers around differing views regarding the math content knowledge one needs to be a highly-qualified middle school math teacher.  As a scientist married to a mathematician, I don’t believe that taking a couple of math ed courses on how to teach the content of middle school mathematics provides sufficient knowledge of mathematics to be a truly effective teacher of the subject.  Our middle school foreign language teachers didn’t simply take a couple of ed courses in how to teach their subject at the middle school level; rather, most of them also MAJORED or, at least, minored in the subject in college.  Why aren’t we requiring the same breathe and depth of content knowledge for our middle school mathematics teachers?  Do you really believe mastery of the middle school mathematics curriculum and how to teach it is sufficient content knowledge for teachers teaching math?  What happens when students ask questions that aren’t answered in the teachers’ manual?  What happens when students desire to know how the material they are studying relates to higher-level mathematics and other subjects such as science and engineering?
The MMSD has been waiting a long time already to have math-qualified teachers teaching mathematics in our middle schools.   Many countries around the world whose students outperform US students in mathematics only hire teachers who majored in the  subject to teach it.  Other school districts in the US are taking advantage of the current recession with high unemployment to hire and train people who know and love mathematics, but don’t yet know how to teach it to others.  For example, see
http://www.reuters.com/article/domesticNews/idUSTRE54L2W120090522
If Madison continues to wait, we will miss out on this opportunity and yet another generation of middle schoolers will be struggling to success in high school.
The MMSD has a long history of taking many, many year to resolve most issues.  For example, the issue of students receiving high school credit for non-MMSD courses has been waiting 8 years and counting!  It has taken multiple years for the District’s math task force to be formed, meet, write its report, and have its recommendations discussed.  For the sake of the District’s students, we need many more math-qualified middle school teachers NOW.  Please act ASAP, giving serious consideration to our proposal below.  Thanks.

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Superintendent Dan Nerad’s Response to “Action Needed, Please Sign on…. Math Teacher Hiring in the Madison School District”

Madison School District Superintendent Dan Nerad via email:

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

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MathTime: Hinsdale kids design math app for iPhone

Mick Swasko:

You might think of flash cards and work sheets when you think of grade-school math. But now, thanks to two young brothers from Hinsdale, there’s an app for that.
Eleven-year-old Owen Voorhees’ iPhone application, MathTime, debuted in the iTunes App Store last week. The simple program, which displays random addition, subtraction, multiplication or division problems and their solutions, has been a work in progress for nearly nine months.
“I hope it helps people practice their facts,” Owen said, explaining that the application is intended for students a bit younger than himself, such as brother Finn, 9.

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A Look At Maryland’s High School Assessment Test

Nelson Hernandez:

When Maryland’s high school class of 2009 graduates next month, it will become the first in the state to prove it can solve an equation such as 12x + 84 =252. (Answer: 14.)
But state officials still don’t know the value of another variable: the number of students who won’t pass exams in algebra, English, biology and government for a new graduation requirement. As of March, about 4,000 of 58,000 seniors statewide hadn’t passed the High School Assessments or met an alternative academic standard. This is the first year that seniors have been required to meet the testing standard.
State and local officials predict that graduation rates will remain roughly the same and that only a handful of seniors will be denied a diploma based on the HSA requirement.

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

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

After Irace got his termination papers in June from JPMorgan Chase, he called “Brother K.”
Brother Kenneth Hoagland, the principal at Kellenberg, a private Catholic institution, taught Irace at Chaminade High School in Mineola, New York.
Hoagland called Irace in for an interview in August, when he needed a replacement for a math instructor on leave. A month later, the former trader was teaching quadratic equations and factoring to freshmen in five 40-minute periods of algebra a day. He enrolled in refresher math classes at Nassau Community College, sometimes learning subjects a day or two ahead of the kids. This semester, he’s teaching sixth-graders measurements and percentages.
Conditioning Drills
Seated at wooden desks, 21 to 39 in each class, they get excited when he flashes the animated math adventures of a robot named Moby onto a classroom projector. After school, Irace, now 198 pounds (90 kilograms), puts a whistle on a yellow cord around his neck and runs girls through conditioning drills as an assistant coach for the lacrosse team. The extra coaching stipend runs $1,000 to $2,000 for the season.

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Wisconsin bill to boost math and science teachers risky for students

Peter Hewson & Eric Knuth:

While this legislation is well-intentioned, it will ultimately do more harm than good — and it is the children in the most troubled schools who will pay the price.
Here’s why: SB 175 is intended to attract math and science professionals (engineers and scientists) into teaching, based on the belief that they have the necessary subject-matter knowledge. The bill would allow them to get teaching licenses almost entirely on the basis of written tests (a math test, for example), as long as they receive some loosely specified form of mentoring during their first year on the job.
There’s nothing wrong with using written tests, and mentoring new teachers is a great idea. But neither is sufficient to protect children from dangerously under-prepared teachers.
Although subject-matter knowledge is essential to good teaching, the knowledge required for teaching is significantly different from that used by math and science professionals. A well-constructed certification program gives beginning teachers a crucial knowledge base (of math or science as well as about teaching) and helps them develop the skills and practices that bring this knowledge to life.
There’s a reason that so many certification programs immerse new teachers in classroom tasks gradually: It gives them a chance to make their mistakes and sharpen their skills in more controlled, lower-stakes contexts before handing them primary responsibility for a classroom of students.

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The disinformation campaign about U.S. schools

Walt Gardner:

Repetition doesn’t make something true. The latest reminder was a piece by Financial Times columnist Clive Crook, in which he warns that America’s long-term economic prospects are bleak because of a “calamitous” failure of schools to produce a high-quality workforce. This alarmist view is not limited to Crook. It has been echoed by Bill Gates and philanthropist Eli Broad, and by a host of organizations, such as the Business Roundtable.
OPEN FORUM
Should job creation favor men? 05.19.09
Now is the time for right-to-repair law 05.18.09
Open forum: Journalism students lead way 05.16.09
More Open Forum »
It’s easy to understand why people take at face value what reformers with impressive credentials say about education. They can be intimidating. But that’s no excuse. As a wag quipped: In God we trust, all others bring evidence.
So let’s look at the evidence.
In October 2007, B. Lindsay Lowell of Georgetown University and Hal Salzman of the Urban Institute concluded that the United States has a problem on the demand side of the equation – not on the supply side. This crucial distinction is lost in the heated debate, resulting in widespread misunderstanding.

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One Step Ahead of the Train Wreck: Everyday Mathematics

Via a Barry Garelick email:

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

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Teaching Arts and Sciences Together

Mae Jemison:

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

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



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

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

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

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

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

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

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

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

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

mertz@oncology.wisc.edu

Dear Superintendent Nerad and members of the Board of Education:

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

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

Sincerely,

Ed Hughes comments over at Madison United for Academic Excellence:

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

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

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

Major Findings:

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


Related:

[280K PDF Complete Presentation]

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

Randy Pollock:

Which country — the United States or China — will make the 21st century its own?
When President Obama recently called for American young people “to be makers of things” and focus on subjects such as science and engineering, it was partly a nod to China’s rapid growth. Had he lived, taught and consulted in China for the last 33 months, as I have, he might have urged American students first to follow his example and study the liberal arts. Only technical knowledge complemented by well-honed critical and creative thinking skills can help us regain our innovative edge. China’s traditional lack of emphasis on teaching these skills could undermine its efforts to develop its own innovative economy.
I once challenged my Chinese MBA students to brainstorm “two-hour business plans.” I divided them into six groups, gave them detailed instructions and an example: a restaurant chain. The more original their idea, the better, I stressed — and we’d vote for a prize winner. The word “prize” energized the room. Laptops flew open. Fingers pounded. Voices roared. Packs of cookies were ripped open and shared. Not a single person text-messaged. I’d touched a nerve.
In the end, five of the six groups presented plans for, you guessed it, restaurant chains. The sixth proposed a catering service. Why risk a unique solution when the instructor has let it slip he likes the food business?

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Education Critic to Obama: Tell the Truth

Jay Matthews:

If there was any doubt that education analyst Gerald W. Bracey doesn’t play favorites, that’s gone now. After excoriating the Bush administration and its education officials for eight years, after canvassing his neighborhood, donating his own money and voting for Barack Obama for president, Bracey is giving the new president just what he gave the old one — unrelenting grief.
In a speech to the American Educational Research Association in San Diego last month on “countering the fearmongers about American public schools,” Bracey added to his list of non-truthtellers President Obama and Education Secretary Arne Duncan. “Obama and Duncan seem to be following the long-established line that you can get away with saying just about anything you choose about public schools and no one will call you on it,” Bracey said. “People will believe anything you say about public education as long as it’s bad.”
Bracey and I disagree on many issues, but I have long been one of his most appreciative readers, dating back to the days when I knew him only as a sharp-witted writer whose pieces occasionally appeared in The Washington Post’s Outlook section. When I came back to Washington to cover local schools, I introduced myself to Bracey, who was then living in Northern Virginia, and wrote a piece about him and his long battle to persuade policymakers, political candidates and journalists to stop exaggerating our educational problems to win themselves appropriations, votes and attention. He lost at least one job because of his writing. Instead of using his doctorate in educational psychology to get a cushy university or think tank job, he has devoted his life to setting us straight, in his less financially secure role as freelance writer, author and speaker.

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

Angela Bettis:

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


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


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


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


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


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

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


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


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

Related: Math Forum and Clusty Search on Everyday Math.

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

Ovetta Wiggins:

You could see the pride in third-grader Kuron Anderson’s eyes as he jumped from his tiny chair to talk about his technology project. He called it “The Many Faces of the Man,” a digital photo mosaic that he created to celebrate the election of President Obama.
“I worked hard on it, and I did my best,” Kuron said.
He then methodically explained how he used about 1,000 pictures to create his project for the first science and technology fair last month at the Mitchellville School of Math, Science and Technology in Bowie.
“This is the before picture,” the 8-year-old said, pointing to the cutout on the cardboard display. “And if you step back, you will see his face on the computer. It is made up of cell images.”

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

Wisconsin State Journal Editorial

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


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



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

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All-Athletics

The Boston Globe has been publishing for 137 years, and the news that it may have to fold has distressed its many readers. Each Fall, Winter and Spring the paper publishes a special section, of 14 pages or so, on notable local public high school athletes and their coaches. There is a mention of athletes and coaches at local prep schools as well.
The latest Boston Globe’s Winter “ALL-SCHOLASTICS” section arrived, with the “ten moments that stood out among the countless athletic stories in Massachusetts.” There are reports on the best athletes and coaches in Skiing, Boys’ Basketball, Girls’ Basketball, Boys’ Hockey, Girls’ Hockey, Boys’ Track, Girls’ Track, Boys’ Swimming, Girls’ Swimming, Preps, Wrestling, and Gymnastics. The Preps and Gymnastics parts consolidate boys’ and girls’ accomplishments, perhaps to save space (and cost).
Each full-page section also features photographs of 9-16 athletes, with perhaps a twitter-sized paragraph on their achievements. In addition, there are 30 photos and tweets about some coaches, spread among the various sports. There are 26 “Prep” athletes mentioned, from various sports, but I didn’t see any “Prep” coaches profiled. For each high school sport there are two “athletes of the year” identified, and all the coaches are “coaches of the year” in their sport.
There may be, at this time, some high school “students of the year” in English, math, Chinese, physics, Latin, chemistry, European history, U.S. history, biology, and the like. There may also be high school “teachers of the year” in these and other academic subjects, but their names and descriptions are not to be found in The Boston Globe, perhaps the most well-known paper in the “Athens of America” (Boston).
It may be the case, indeed it probably is the case, that some of the athletes featured in the Winter “All-Scholastics” section today are also high school students of math, history, English, science, and languages, but you would not know that from the coverage of The Boston Globe. The coaches of the year may in many, if not all, cases, also be teachers of academic subjects in the Massachusetts public and private schools, but that remains only a guess as well.
When the British architect Christopher Wren was buried in 1723, part of his epitaph, written by his eldest son, Christopher Wren, Jr., read: “Lector, si monumentum requiris, Circumspice.” If you wanted to judge his interest, efforts and accomplishments, all you had to do was look around you. His work was there for all to see.
The work of Massachusetts high school athletes and coaches is all around us in The Boston Globe on a regular basis, but the work of our high school scholars and teachers is nowhere to be seen in that public record.
If one seeks a monument to anti-academic and anti-intellectual views and practices in Boston today, one need look no further than The Boston Globe. I read it every day, and I will be sorry to see it fold, if it does, but I will not miss its attention to and recognition of the academic efforts and accomplishments of Massachusetts secondary students and their teachers, because there is none now, and never has been any, no matter how many reports on education reform and academic standards it may have published over the years. If you ask how much The Boston Globe editors (and I am sure The Globe is not alone in this) cares about the good academic work now actually being done by high school teachers and their students in Massachusetts, the answer is, from the evidence, that they do not.

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

For many years now, parents and community members, including members of Madison United for Academic Excellence, have expressed concerns about the decline in rigor and the lack of adequate challenge in our district’s curriculum. The release this week of WKCE scores for the November 2008 testing led me to wonder about the performance of our district’s strongest students. While most analyses of WKCE scores focus on the percentages of students scoring at the Advanced and Proficient levels, these numbers do not tell us about changes in the percent of students at each particular level of performance. We can have large increases in the percent of students scoring at the Proficient and Advanced levels because we have improved the performance of students who were previously at the Basic level on the WKCE, but yet fail to have any effect on the performance of our district’s strongest students. This is the argument that we are improving the performance of our low ability students, but failing to increase the performance of our already successful students. An examination of the numbers of students who are performing at just the Advanced level on the WKCE provides us with some insight into the academic progress of our more successful students.
I decided to examine WKCE math scores for students across the district. While it is not possible to track the performance of individual students, it is possible to follow the performance of a cohort as they advance through the system. Thus students who are now in 10th grade, took the 8th grade WKCE in 2006 and the 4th grade test in 2002. Because there have been significant changes in the demographics of the district’s students, I split the data by socio-economic status to remove the possibility of declines in WKCE performance simply being the result of increased numbers of low income students. Although the WKCE has been criticized for not being a rigorous enough assessment tool, the data on our students’ math performance are not encouraging. The figures below indicate that the percent of students scoring at the Advanced level on the WKCE decreases as students progress through the system, and this decline is seen in both our low income students and in our Not Economically Disadvantaged students. The figures suggest that while there is some growth in the percent of Advanced performing students in elementary school, there is a significant decline in performance once students begin taking math in our middle schools and this decline continues through high school. I confess that I take no pleasure in sharing this data; in fact, it makes me sick.

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

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

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

(more…)

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

Samara Kalk Derby:

Chris Dyer’s students want to know if, when he becomes rich and famous, he’ll let them swim in his pool.
Dyer, an eighth-grade math teacher at Cherokee Middle School on Madison’s west side, developed a board game while student teaching at the school that was picked up by an international educational products manufacturer and has now sold more than 2,000 copies.
The game, Angleside School Adventure, teaches kids how to measure angles. While learning to play the game in class one recent afternoon, student Oscar Hernandez, 14, wondered aloud whether Dyer is a millionaire yet. Dyer laughed and assured his students that, if he becomes a millionaire, he’ll still be teaching them.
Many of Dyer’s students say he is the best math teacher they’ve had.
“He’s pretty good at explaining things to people who don’t know,” said 13-year-old Allison Ballard. “And for the people who do know, he just lets them go ahead.”

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The “Most Failed” College Math Course: Math 111

Shanna Woodruff:

s there any hope for college algebra?
Math 111 has been rumored throughout campus to be one of the most failed classes at Oregon State. Many students go into class with that expectation.
“I heard from everyone that I talked to about Math 111, that it was the number one failed class in the university, so I got in the mindset that I was going to fail, and I did,” said Mark Stockhoff, a freshman in new media communications and business.
The issues relating to this rumor may be caused by the math placement test, poor math education before college, class size and student effort put into the class.
“We have a placement test, which we ask folks to take, and up until last year, only about 50 percent of entering freshmen placed into a college math course,” said Math 111 instructor Peter Argyres.
To address the poor scores, the math department worked to create an online test that wasn’t proctored to allow students to take the test in an easier environment and time frame, but the jump in scores was so significant that it was determined students had cheated on the math test.

Joanne has more.

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Seattle School Board Delays New Math Program

Nick Eaton:

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


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


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


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


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



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

Much more on math here.

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

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


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

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



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

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

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

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


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

Men more frequently require to be reminded than informed.”

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

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Gabriele Meyer on the Madison School District’s Math Program

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


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

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

To: comment@madison.k12.wi.us
Cc: askey@math.wisc.edu
There are a number of points in the Summary of Administrative Response to MMSD Mathematics Task Force Recommendations which should be made. As a mathematician, let me just comment on comments on Recommendation 11. There are other comments which could be made, but I have a limited amount of time at present.
The first question I have is in the first paragraph. “One aspect of the balanced approach is represented in the four block approach to structuring mathematics lessons. The four blocks include Problem Solving, Number Work, Fluency and Maintenance and Inspecting Equations.” There is a missing comma, since it is not clear whether Maintenance goes with the previous word or the last two. However, in either case, “Inspecting Equations” is a strange phrase to use. I am not sure what it means, and when a mathematician who has read extensively in school mathematics does not understand a phrase, something is wrong. You might ask Brian Sniff, who seems to have written this report based on one comment he made at the Monday meeting, what he means by this.
In the next paragraph, there are the following statements about the math program used in MMSD. “The new edition [of Connected Math Project] includes a greater emphasis on practice problems similar to those in traditional middle and high school textbooks. The new edition still remains focused on problem-centered instruction that promotes deep conceptual understanding.” First, I dislike inflated language. It usually is an illustration of a lack of knowledge. We cannot hope for “deep conceptual understanding”, in school mathematics, and Connected Math falls far short of what we want students to learn and understand in many ways. There are many examples which could be given and a few are mentioned in a letter I sent to the chair of a committee which gave an award to two of the developers of Connected Mathematics Project. Much of my letter to Phil Daro is given below.
The final paragraph for Recommendation 11 deals with high school mathematics. When asked about the state standards, Brian Sniff remarked that they were being rewritten, but that the changes seem to be minimal. He is on the high school rewrite committee, and I hope he is incorrect about the changes since significant changes should be made. We now have a serious report from the National Mathematics Advisory Panel which was asked to report on algebra. In addition to comments on what is needed to prepare students for algebra, which should have an impact on both elementary and middle school mathematics, there is a good description of what algebra in high school should contain. Some of the books used in MMSD do not have the needed algebra. In addition, the National Council of Teachers of Mathematics has published Curriculum Focal Points for grades PK-8 which should be used for further details in these grades. Neither of these reports was mentioned in the response you were sent.

(more…)

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

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

Interestingly, the latest document includes these words:

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

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

Related:

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Math on the Madison School Board’s Agenda this Evening

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

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Accelerated Math Challenge, For a Student and Her Mom

Jay Matthews:

Anne McCracken Ehlers’s third-grade daughter was not doing well in accelerated fourth-grade math at Whetstone Elementary School in Gaithersburg. Becca was spending far too long on her assignments. She was confused. She was unhappy. Ehlers is a teacher herself, in the English department at Rockville High School. So she was polite when she asked for a change, but nothing happened.
Finally, the 8-year-old in the drama decided that enough was enough, prompting this e-mail from her teacher to Ehlers on the afternoon of Feb. 5: “I just wanted to let you know that math bunch was held today from 1:00-1:30. Rebecca chose not to come. I asked her several times to please join us and she refused saying that she would come next week. We went over rounding, estimating, and adding decimals. We also reviewed word problems that include fractions. Please encourage Rebecca to take part in these extra math sessions. Thank you very much for your support.”

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An Interview with US Education Secretary Arne Duncan

Science:

What do we know works to improve student achievement in K-12 STEM [science, technology, engineering, and mathematics] education?
A.D.: I’d say great teachers, who know the content.
How do we know that?
A.D.: I think that’s true in any subject area. If you get outstanding teachers, kids learn.
What’s the evidence for that?
A.D.: Lots of evidence points to the fact that great teachers have an impact.
What is it about effective teachers that makes a difference?
A.D.: Lots of factors. It’s not one. In this area, it sounds like common sense, but still, having teachers that truly know the content is critically important. You can’t teach what you don’t know. So that’s a starting point. Beyond that, what do great teachers look like? They are passionate, they have high expectations–this is a calling, not a job. They go way beyond the call of duty to make sure that students are getting what they need. And they are really able to differentiate instruction, to work with kids who are struggling and those who are on track to becoming the next generation of chemists and physicists.
You mentioned content. But there are studies that have found what teachers majored in in college doesn’t necessarily affect their ability to improve student achievement.
A.D.: You’re right. I’m not talking about what you major in. I’m saying that you can’t teach physics if you don’t know physics. You don’t have to have majored in physics. Maybe you come out of industry, or out of some other place. I worry a lot about how many folks are teaching classes in which they are not experts in the content. To me, that’s a big part of the problem. We don’t have enough teachers today who are experts in math and science. This is not just high school, it’s also fifth, sixth, seventh grade.

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

Albert Wong:

More than 800 students gathered yesterday to hear Nobel prize-winning mathematician, John F. Nash, Jr. (American mathematician), share stories about his early life.
Professor Nash, who was awarded the Nobel Prize in economic sciences in 1994 and whose life was dramatised in an Oscar-winning film, A Beautiful Mind, told a hall packed with students at the Polytechnic University yesterday how problem-solving fascinated him from an early age.
“From a very young age, when we would start working with addition and subtraction calculations … when the standard kids were working with two digits, I was working with three or four digits …
“I got some pleasure from that,” the professor said.
Professor Nash is in Hong Kong for a week-long speaking tour. Yesterday’s talk, organised by the university and the Hong Kong Federation of Youth Groups, was designed to give students an opportunity to pose questions.

Fascinating.

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Math Performance Anxiety

Debra Saunders:

n the 1990s, the Math Wars pitted two philosophies against each other. One side argued for content-based standards – that elementary school students must memorize multiplication tables by third grade. The other side argued for students to discover math, unfettered by “drill and kill” exercises.
When the new 1994 California Learning Assessment Test trained test graders to award a higher score to a child with a wrong answer (but good essay) than to a student who successfully solved a math problem, but without a cute explanation, the battle was on. New-new math was quickly dubbed “fuzzy crap.” By the end of the decade, repentant educators passed solid math standards.
Yet the Math Wars continue in California, as well as in New Jersey, Oregon and elsewhere. In Palo Alto, parent and former Bush education official Ze’ev Wurman is one of a group of parents who oppose the Palo Alto Unified School District Board’s April 14 vote to use “Everyday Mathematics” in grades K-5. Wurman recognizes that the “fuzzies” aren’t as fuzzy as they used to be, but also believes that state educators who approve math texts “fell asleep at the switch” when they approved the “Everyday” series in 2007.
The “Everyday” approach supports “spiraling” what students learn over as long as two or more years. As an Everyday teacher guide explained, “If we can, as a matter of principle and practice, avoid anxiety about children ‘getting’ something the first time around, then children will be more relaxed and pick up part or all of what they need. They may not initially remember it, but with appropriate reminders, they will very likely recall, recognize, and get a better grip on the skill or concept when it comes around again in a new format or application-as it will!” Those are my italics – to highlight the “fuzzies’ ” performance anxiety.

Related: Math Forum.

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

Carl Bialik:

A trio of words — one that’s slang for pizza, another defined as a body’s vital life force and a third referring to a snoring sound — have conspired to change the game of Scrabble.
“Za,” “qi” and “zzz” were added recently to the game’s official word list for its original English-language edition. Because Z’s and Q’s each have the game’s highest point value of 10, those monosyllabic words can rack up big scores for relatively little effort. So now that those high-scoring letters are more versatile, some Scrabble aficionados would like to see the rules changed — which would be the only change since Alfred Butts popularized the game in 1948.
For non Scrabble-rousers, there are analogs for the proposed re-evaluations in other leisure pursuits. Some notable mispriced assets: Vermont Avenue in Monopoly, three-point field goals in basketball and football and overtime losses in hockey. Yet traditionalists say rules should endure; it’s up to players to exploit them.
In Scrabble, players form words on a 15-by-15-space board using 100 tiles — two of them blanks that can stand in for any letter, and 98 tiles with letters and corresponding point values. Players draw seven tiles to start the game and refresh their set after each turn.

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Obama on Math

Michael Alison Chandler:

President Obama outlined his reform agenda yesterday for the nation’s public schools in a speech before the US Hispanic Chamber of Commerce. He promoted extending the school day, adopting performance pay for teachers, and encouraging the proliferation of charter schools, to name a few.
But what did he say about math, you are wondering.
Here it is – the math report. Obama’s speech mentioned math education explicitly four times:
1. He reminded the nation that economic development and academic achievement go hand in hand and that the federal government can play a significant role.
“Investments in math and science under President Eisenhower gave new opportunities to young scientists and engineers all across the country. It made possible somebody like a Sergei Brin to attend graduate school and found an upstart company called Google that would forever change our world,” he said.

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Washington State High School Math Text Review

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

A few basic goals of high school mathematics will be looked at closely in the top programs chosen for high school by the state of Washington. Our concern will be with the mathematical development and coherence of the programs and not with issues of pedagogy.
Algebra: linear functions, equations, and inequalities
We examine the algebraic concepts and skills associated with linear functions because they are a critical foundation for the further study of algebra. We focus our evaluation of the programs on the following Washington standard: A1.4.B Write and graph an equation for a line given the slope and the y intercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations.
We also consider how well the programs meet the following important standard: A1.1.B Solve problems that can be represented by linear functions, equations, and inequalities.
Linear functions, equations, and inequalities in Holt
We review Chapter 5 of Holt Algebra 1 on linear functions.
The study of linear equations and their graphs in Chapter 5 begins with a flawed foundation. Because this is so common, it will not be emphasized, but teachers need to compensate for these problems.
Three foundational issues are not dealt with at all. First, it is not shown that the definition of slope works for a line in the plane. The definition, as given, produces a ratio for every pair of points on the line. It is true that for a line these are all the same ratios, but no attempt is made to show that. Second, no attempt is made to show that a line in the plane is the graph of a linear equation; it is just asserted.
Third, it not shown that the graph of a linear equation is a line; again, it is just asserted.

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

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Schools to Retain Controversial Math Curriculum

Michael Birnbaum:

Prince William County elementary schools will continue to teach mathematics with a textbook series that has drawn parent criticism and national scrutiny, despite deep divisions in the community over whether students should be given other options.
The curriculum from Pearson Education, “Investigations in Number, Data, and Space,” which is used in thousands of classrooms nationwide, has been debated virtually since Prince William began using it three years ago under the administration of Superintendent Steven L. Walts. Critics say it fails to help students learn basic skills and facts.
Their contention was buttressed last month by a federally sponsored study of first-grade test scores in schools that used four kinds of textbooks. “Investigations,” known for a student-centered approach that emphasizes creative ways to solve problems, trailed in the comparison.
But educators who have championed “Investigations” say it helps students develop a deeper conception of math fundamentals before they take on complicated topics. The debate shows no signs of going away.
Last week, the Prince William School Board split 4 to 4 on a proposal that would have allowed parents to choose between “Investigations” and a more traditional math curriculum. Opponents of the proposal, which failed Wednesday on the tie vote, said that it would have been cost prohibitive and that education would have suffered.

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

Carla Rivera:

The former engineer has won a national honor for his energetic commitment in the classroom. Last year his young charges, who think he may be the best math teacher anywhere, aced the AP calculus test.
Sam Calavitta presides over what may be the noisiest, most spirited math class in the nation.
He greets each student personally, usually with a nickname (“Butterfly,” “Batgirl” and “Champ” are a few) and a fist bump. Then he launches a raucous, quiz-show-style contest.
Boys and girls line up on opposite sides of the room, Calavitta shouts out complex equations from index cards, and the opposing sides clap and cheer with each correct answer.
“State the anti-derivative of the secant function,” Calavitta yells.
“The natural log of the absolute value secant x plus tangent x plus c,” answers a student correctly.

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

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

Many U.S. children start school with weak math skills and there are differences between students from different socioeconomic backgrounds–those from poor families lag behind those from affluent ones (Rathburn and West 2004). These differences also grow over time, resulting in substantial differences in math achievement by the time students reach the fourth grade (Lee, Gregg, and Dion 2007).
The federal Title I program provides financial assistance to schools with a high number or percentage of poor children to help all students meet state academic standards. Under the No Child Left Behind Act (NCLB), Title I schools must make adequate yearly progress (AYP) in bringing their students to state-specific targets for proficiency in math and reading. The goal of this provision is to ensure that all students are proficient in math and reading by 2014.
The purpose of this large-scale, national study is to determine whether some early elementary school math curricula are more effective than others at improving student math achievement, thereby providing educators with information that may be useful for making AYP. A small number of curricula dominate elementary math instruction (seven math curricula make up 91 percent of the curricula used by K-2 educators), and the curricula are based on different theories for developing student math skills (Education Market Research 2008). NCLB emphasizes the importance of adopting scientifically-based educational practices; however, there is little rigorous research evidence to support one theory or curriculum over another. This study will help to fill that knowledge gap. The study is sponsored by the Institute of Education Sciences (IES) in the U.S. Department of Education and is being conducted by Mathematica Policy Research, Inc. (MPR) and its subcontractor SRI International (SRI).
BASIS FOR THE CURRENT FINDINGS
This report presents results from the first cohort of 39 schools participating in the evaluation, with the goal of answering the following research question: What are the relative effects of different early elementary math curricula on student math achievement in disadvantaged schools? The report also examines whether curriculum effects differ for student subgroups in different instructional settings.
Curricula Included in the Study. A competitive process was used to select four curricula for the evaluation that represent many of the diverse approaches used to teach elementary school math in the United States:

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

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MINNESOTA MIRACLE WITH MATH TURNAROUND SPECIALIST PROF. BILL SCHMIDT

National Council on Teacher Quality:

We’ve grown so accustomed to Massachusetts’ trailblazer stature in education that perhaps we were a little blasé over its decision to participate in the TIMSS, international assessments of 4th and 8th grade mathematics performance. Nor were we all that surprised to learn that the state’s students performed relatively well compared to students from other nations.
Less blasé are we about Minnesota, which for years has demonstrated little more than smug satisfaction over its high standing among American states, but which decided to finally prove its mettle by competing against the world and doing fairly well (as is illustrated here).

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A handwaving approach to arithmetic

The Economist:

HUMAN language is the subject of endless scientific investigation, but the gestures that accompany speech are a surprisingly neglected area. It is sometimes jokingly said that the way to render an Italian speechless is to tie his wrists together, but almost everyone moves their hands in meaningful ways when they talk. Susan Goldin-Meadow of the University of Chicago, however, studies gestures carefully–and not out of idle curiosity. Introspection suggests that gesturing not only helps people communicate but also helps them to think. She set out to test this, and specifically to find out whether gestures might be used as an aid to children’s learning. It turns out, as she told the AAAS, that they can.
The experiment she conducted involved balancing equations. Presented with an equation of the form 2 + 3 + 4 = x + 4, written on a blackboard, a child is asked to calculate the value of x. In the equations Dr Goldin-Meadow always made the last number on the left the same as the last on the right; so x was the sum of the first two numbers. Commonly, however, children who are learning arithmetic will add all three of the numbers on the left to arrive at the value of x.
In her previous work Dr Goldin-Meadow had noted that children often use spontaneous gestures when explaining how they solve mathematical puzzles so, to see if these hand-movements actually help a child to think, or are merely descriptive, she divided a group of children into two and asked them to balance equations. One group was asked to gesture while doing so. A second was asked not to. Both groups were then given a lesson in how to solve problems of this sort.

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Moscow Math Festival for 6th and 7th Graders

Click on the photo to view a larger version.

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

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The Spiral of Ignorance

The Economist:

Lack of understanding of the credit crunch is magnifying its damage
THE BBC’s “Today” programme is the main current-affairs show on British radio. Last year it recruited a new presenter, Evan Davis, who is also an economist. An amusing pattern has since developed. Quizzed about the credit crunch, a politician delivers some carefully memorised remark about, say, quantitative easing. Then the guest experiences an audible moment of existential horror, as Mr Davis ungallantly presses him for details.
The tide has gone out and, with a very few exceptions, Britain is swimming naked: almost nobody appears to know what he is talking about. The havoc of the financial crisis has stretched and outstripped even most economists. The British political class is befogged. Ordinary people are overwhelmed. And just as the interaction between banking and economic woes is proving poisonous, so the interplay of public and political ignorance is damaging the country’s prospects.
Start with the government, whose ministers are still oscillating between prophesying economic Armageddon and gamely predicting the best of all possible recoveries. Gordon Brown is learned in economic history–indeed, he is at his most animated and endearing when discussing it. But the prime minister’s grip on the history he is living through is less masterful. The government’s implicit strategy is to try something and, when that does not work, try something else: the approach modestly outlined by Barack Obama, but rather less honest.

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Life After Algebra II

Michael Alison Chandler:

As the school year speeds by, rising seniors at Fairfax High are already meeting with their teachers and guidance counselors to decide which classes they should take next year. Up until this point, the math sequence is spelled out — Algebra I, Geometry, Algebra II. After this point, there are plenty of options.
Here are the math classes students in a non-honors Algebra II class can choose from:
Trigonometry (Semester Course)
Probability and Statistics (Semester Course)
Discrete Math (Semester Course)
Pre Calculus with Trigonometry
AP Statistics
AP Computer Science
If they are not pursuing an advanced diploma, they can also choose to take no math class their senior year. That’s an option a few students I talked to this week planned to take. Others were aiming for pre-calculus, which will put them on track to take Calculus in college. Others were talking about a combination of the semester-long courses.

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A handwaving approach to arithmetic

The Economist:

HUMAN language is the subject of endless scientific investigation, but the gestures that accompany speech are a surprisingly neglected area. It is sometimes jokingly said that the way to render an Italian speechless is to tie his wrists together, but almost everyone moves their hands in meaningful ways when they talk. Susan Goldin-Meadow of the University of Chicago, however, studies gestures carefully–and not out of idle curiosity. Introspection suggests that gesturing not only helps people communicate but also helps them to think. She set out to test this, and specifically to find out whether gestures might be used as an aid to children’s learning. It turns out, as she told the AAAS, that they can.
The experiment she conducted involved balancing equations. Presented with an equation of the form 2 + 3 + 4 = x + 4, written on a blackboard, a child is asked to calculate the value of x. In the equations Dr Goldin-Meadow always made the last number on the left the same as the last on the right; so x was the sum of the first two numbers. Commonly, however, children who are learning arithmetic will add all three of the numbers on the left to arrive at the value of x.

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Students Then and Now

J. Edward Ketz:

Compared with the students in the 1970s, today’s accounting students are uneducated and unfit for a college education.
I have been teaching full time for over thirty years. If you toss in my apprenticeship teaching as a graduate student, I have taught for almost thirty-five years. During that span of time, one sees many, many students, and it amazes me how different they have been over time, and the inequality continues to grow. Compared with the students in the 1970s, today’s students are uneducated and unfit for a college education.
Before proceeding, let me enunciate two premises. First, I do not think there is any significant difference between the two groups in terms of native, raw intelligence. Instead, the distinction between yesterday’s and today’s students when they first set foot on college campuses rests in their educational backgrounds, analytical thinking, quantitative skills, reading abilities, willingness to work, and their attitudes concerning the educational process. In short, they differ in terms of their readiness for college. Second, I am focusing on the average student who majors in accounting. Both groups arise from a distribution of students. The lower tail of yesteryear’s population had some weak students, and the upper tail of the present-day population has some very strong students; however, when one focuses on the means of these two distributions, he or she finds a huge gap.
To begin, today’s average accounting major cannot perform what used to be Algebra I and II in high school. Students cannot solve simultaneous equations. Students have difficulty with present value computations, not to mention formula derivations. Students even have difficulty employing the high-low method to derive a cost function, something that merely requires one to estimate a straight line from two points.
I would like to discuss in class the partial derivative of a present value formula to ascertain the impact of changes in interest rates, but that has become a fruitless enterprise. Even if students had a course in calculus, the exams probably had multiple choice questions so students guessed their way through the course, they don’t remember what they learned, and whatever they learned was mechanical and superficial.

Related:

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February 1994: Now They Call it 21st Century Skills

Charles J. Sykes:

Dumbing Down Our Kids–What’s Really Wrong With Outcome Based Education
Charles J. Sykes, Wisconsin Interest, reprinted in Network News & Views 2/94, pp. 9-18
Joan Wittig is not an expert, nor is she an activist. She just didn’t understand why her children weren’t learning to write, spell, or read very well. She didn’t understand why they kept coming home with sloppy papers filled with spelling mistakes and bad grammar and why teachers never corrected them or demanded better work. Nor could she fathom why her child’s fourth-grade teacher would write, “I love your story, especially the spelling,” on a story jammed with misspelled words. (It began: “Once a pona time I visited a tropical rian forist.”)
While Wittig did not have a degree in education, she did have some college-level credits in education and a “background of training others to perform accurately and competently in my numerous job positions, beginning in my high school years.” That experience was enough for her to sense something was wrong. She was not easily brushed off by assurances that her children were being taught “whole language skills.” For two years, she agonized before transferring her children from New Berlin’s public schools to private schools.
After only a semester at the private schools, her children were writing and reading at a markedly higher level. Their papers were neatly written, grammatical, and their spelling was systematically corrected.
Earlier this year, she decided to take her story to her local school board.

(more…)

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Singapore Math Bill Approved in Utah

Lisa Schencker:

Some lawmakers want Utah to follow the lead of a tiny Asian country when it comes to teaching math.
A senate committee Friday morning approved a bill, SB 159, that would allow districts and charter schools to apply for grants to use the Singapore method to teach math. Singapore is one of the highest scoring countries on international math tests.
In Singapore, math students are encouraged to think visually and develop mental strategies to solve problems. They’re discouraged from using paper to compute math problems.
“We seek to create a school system that will produce a significant percentage of the scientists and engineers needed by our country,” said Sen. Howard Stephenson, R-Draper, who is sponsoring the bill.
SB 159 would offer competitive grants to districts that come up with plans for teaching Singapore math in kindergarten through sixth grade and some secondary school classes. The bill would also require districts to train teachers in Singapore math and offer grants to colleges and other groups to train mathematicians to be teachers.
“I believe this will raise the math abilities of everyone in the state,” said Aaron Bertram, chairman of the University of Utah mathematics department.

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The Structure of Everything

Marc Kaufman:

Did you know that 365 — the number of days in a year — is equal to 10 times 10, plus 11 times 11, plus 12 times 12?
Or that the sum of any successive odd numbers always equals a square number — as in 1 + 3 = 4 (2 squared), while 1 + 3 + 5 = 9 (3 squared), and 1 + 3 + 5 + 7 = 16 (4 squared)?
Those are just the start of a remarkable number of magical patterns, coincidences and constants in mathematics. No wonder philosophers and mathematicians have been arguing for centuries over whether math is a system that humans invented or a cosmic — possibly divine — order that we simply discovered. That’s the fundamental question Mario Livio probes in his engrossing book Is God a Mathematician?
Livio, an astrophysicist at the Hubble Space Telescope Science Institute in Baltimore, explains the invention-vs.-discovery debate largely through the work and personalities of great figures in math history, from Pythagoras and Plato to Isaac Newton, Bertrand Russell and Albert Einstein. At times, Livio’s theorems, proofs and conundrums may be challenging for readers who struggled through algebra, but he makes most of this material not only comprehensible but downright intriguing. Often, he gives a relatively complex explanation of a mathematical problem or insight, then follows it with a “simply put” distillation.
An extended section on knot theory is, well, pretty knotty. But it ultimately sheds light on the workings of the DNA double helix, and Livio illustrates the theory with a concrete example: Two teams taking different approaches to the notoriously difficult problem of how many knots could be formed with a specific number of crossings — in this case, 16 or fewer — came up with the same answer: 1,701,936.

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Madison Math Program Public Input Session

The Madison School District Administration held a public input session on the recent Math Task Force report [3.9MB PDF] last evening at Memorial High School. Superintendent Dan Nerad opened and closed the meeting, which featured about 56 attendees, at least half of whom appeared to be district teachers and staff. Math Coordinator Brian Sniff ran the meeting.
Task force member and UW-Madison Professor Mitchell Nathan [Clusty Search] was in attendance along with Terry Millar, a UW-Madison Professor who has been very involved in the Madison School District’s math programs for many years. (Former Madison Superintendent Art Rainwater recently joined the UW-Madison Center for Education Research, among other appointments). UW-Madison Math professor Steffen Lempp attended as did school board President Arlene Silveira and board members Ed Hughes and Beth Moss. Jill Jokela, the parent representative on the Math Task Force, was also present.
Listen via this 30MB mp3 audio file. 5.5MB PDF Handout.
Related:

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