The Disagreement Today’s disagreement is about the “math wars.”The “math wars” is a debate happening in K-12 education about the best way to teach math. Broadly speaking, there are two camps that have conflicting pedagogical approaches: Explicit instruction focuses on procedural fluency, guided practice, and repetition.Inquiry-based instruction focuses on conceptual understanding, open-ended problems, and productive […]

Sharon Lurye: A few years ago she shifted her approach, turning to more direct explanation after finding a website on a set of evidence-based practices known as the science of math. “I could see how the game related to multiplication, but the kids weren’t making those connections,” said Stark, a math teacher in the suburbs […]

Wesley Crocket: Faculty members in the University of California (UC) system have begun to speak out against their campuses’ adoption of lower math standards in order to bolster diversity, equity, and inclusion (DEI). The controversy surrounds a policy enacted by a UC committee in 2020, which changed the admissions requirements for high school applicants in […]

Lucy Kellaway: Some years ago, shortly before I left the Financial Times, I gave a talk at a literary event in Oxford. Put up your hand, I said to the audience, if you are useless at maths — whereupon the arms of around a third of them shot into the air. At the time, I […]

Summer Allen: A new study finds that high school students identify more with math if they see their math teacher treating everyone in the class equitably, especially in racially diverse schools. The study by researchers at Portland State University, Loyola University Chicago and the University of North Texas was published in the journal Sociology of […]

Joanne Jacobs: But what will happen to math achievers who do want to take calculus and pursue STEM majors in college? Will they get what they need in untracked classes? Black students are more likely to wait until 11th or 12th grade to take Algebra 1, according to the U.S. Education Department, he reports in […]

James Wollack and Michael Fish: 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 […]

Kevin Carey: The problem, from a regulatory standpoint, is that they borrow a lot of money to obtain the degree — over $78,000 on average, according to the university. The total tuition is $62,593. And because it’s a graduate program, students can also borrow the full cost of their living expenses from the federal government, […]

Cory Koedel and Morgan Polikoff, via a kind Dan Dempsey email: Textbooks are one of the most widely used educational inputs, but remarkably little is known about their effects on student learning. This report uses data collected from elementary schools in California to estimate the impacts of mathematics textbook choices on student achievement. We study […]

American Inst. of Mathematics: The list below groups open textbooks by course title. All the books have been judged to meet the evaluation criteria set by the AIM editorial board. Related: Connected Math, math forum audio/video and English 10.

Vauhini Vara: Teachers pack their items outside of Everest College, in City of Industry, California, one of the shuttered Corinthian Colleges. Last year, I met fifteen former students and graduates of Corinthian Colleges who had taken a remarkable action to protest the collection of their student debt. Corinthian, a for-profit institution that was, at the […]

Emma Brown The nation’s high school seniors have shown no improvement in reading achievement and their math performance has slipped since 2013, according to the results of a test administered by the federal government last year. The results of the National Assessment of Educational Progress, or NAEP, also show a longer-term stagnation in 12th-grade performance […]

Katherine Beals & Barry Garelick: “In general, there is no more evidence of “understanding” in the explained solution, even with pictures, than there would be in mathematical solutions presented in a clear and organized way. How do we know, for example, that a student isn’t simply repeating an explanation provided by the teacher or the […]

John Steele Gordon: Mathematicians often deal in abstractions that are quite beyond the ken of non-mathematicians. For instance, in 1637, the Frenchman Pierre de Fermat conjectured that there is no whole-number solution for the equation An + Bn = Cn where N is greater than two. He famously wrote in the margin of a book […]

But I would suggest an even more important vote will occur on Wednesday, one that will decide the future of tens or hundreds of thousands of Seattle students over the next decade: the Seattle School Board’s vote on the future elementary math curriculum. As I have noted in previous blogs, Seattle Public Schools is now […]

An educational and enrichment workshop was recently conducted by the Galileo Enrichment Learning Program where the multi-awarded mathematician and Singapore Math advocate Dr. Queena Lee-Chua together with her son Scott, shared with the participants the fundamentals of Singapore Math and demonstrated how this fun learning approach is used to solve word problems.

Multi-awarded mathematician and Singapore Math advocate Dr. Queena Lee-Chua shared with the participants the fundamentals of Singapore Math and demonstrates how this fun-learning approach is used to solve word problems.

The workshop, held at Nuvali Evoliving AVR, Sta. Rosa City, Laguna, was organized by Galileo Sta. Rosa, attended by parents and their kids, as well as by teachers from different pre-schools and elementary schools in and outside Manila. It was indeed an enlightening and engaging time for everyone as the mother and son tandem proved to the audience that complex mathematical problems can be solved with simple math logic.Much more on Singapore Math, here.

Related: Math Forum Audio/Video.

If I was a Seattle Public School parent, I would be getting angry now.

Why? Most Seattle students are receiving an inferior math education using math books and curriculum that will virtually insure they never achieve mastery in key mathematical subjects and thus will be unable to participate in careers that requires mathematical skills.

There are so many signs that a profound problem exists in this city. For example,

Parents see their kids unable to master basic math skills. And they bring home math books that are nearly indecipherable to parents or other potential tutors.

Nearly three quarters of Seattle Community College students require remediation in math.

Over one hundred Seattle students are not able to graduate high school because they could not pass state-mandated math exams.

Minority and economically disadvantaged students are not gaining ground in math.Much more on Seattle’s math battles, here.

Related:

Community college students are needlessly assigned to remedial math classes to learn lessons they won’t use during their studies, according to new research from a Washington, D.C. group.

And the study also found that many high school graduates are not learning subjects they will need to use in their careers.

The study was produced by the Washington, D.C.-based National Center on Education and the Economy and funded by the Bill and Melinda Gates Foundation.

“What these studies show is that our schools do not teach what their students need,” the authors wrote, “while demanding of them what they don’t need; furthermore, the skills that we do teach and that the students do need, the schools teach ineffectively. Perhaps that is where we should begin.”Related: Math forum audio/video.

Days are getting longer, the weather is warmer. The smell of spring is in the air. But if you inhale deeply down by JSCEE, there’s another smell. It’s the smell of math. After years of sideways movement, the stars are aligned for systemic changes to math instruction in Seattle Public Schools.

When you look at Seattle kids’ math achievement against other urban districts, Seattle might seem to be doing OK. As a district-level statistic, we’re not too bad. But closer inspection of disaggregated data and the view from inside the system prompt a cry for help. Seattle still has a large number of struggling students and a persistent achievement gap which we can’t shake. Outside tutoring has become commonplace, with math as the most frequent remediation subject. However, recent national and state developments have identified common ground and outcome-proven methods which can serve as a model for Seattle.

This brings us around to a community support initiative for math education. Seattle has a math-focused School Board, and Seattle’s new superintendent, Jose Banda, came to Seattle from proven math success with a diverse student population in Anaheim. Recent news reports are that staff at JSCEE are planning a K-8 math instructional materials adoption soon. Examples of success are scattered through Seattle classrooms and it’s time for those successes to take root across the district.Related: Math forum audio/video and Seattle’s “Discovery Math” lawsuit.

A new study has found that inexperienced teachers in the Los Angeles Unified School District are disproportionately more likely to be assigned to lower-performing math students, perpetuating the achievement gap.

The study also found that L.A. Unified teachers “vary substantially” in their effectiveness, with top teachers able to give students the equivalent of eight additional months of learning in a year compared with weaker instructors.

Such findings raise “deep concerns,” said Drew Furedi, the district’s executive director of talent management, who oversees teacher training. “For us, it’s a call to action.”

The study by the Strategic Data Project, which is affiliated with Harvard University’s Center for Education Policy Research, analyzed the performance of about 30% of L.A. Unified teachers and presented findings based primarily on students’ standardized math test scores from 2005 through 2011 in grades three through eight. The study’s authors acknowledged that test scores were only one measure of teacher effectiveness.

….

The study also found:

Teacher effects vary substantially in LAUSD, more than in many other districts. The difference between a 25th and 75th percentile elementary math teacher is over one-quarter of a standard deviation, which is roughly equivalent to a student having eight additional months of instruction in a calendar year.

Teach for America and Career Ladder teachers have higher math effects on average than other novices in their first year by 0.05 and 0.03 standard deviations respectively, which is roughly equivalent to one to two months of additional learning. These differences persist over time

The performance of math teachers improved quickly in the first five years, then leveled off.

Those with advanced degrees were no more effective than those without, although L.A. Unified pays more to teachers pursuing such degrees.

Long-term substitute teachers — who have been employed more frequently to fill in amid widespread layoffs — have positive effects in teaching middle-school mathView the complete 1.4MB PDF study, here.

Related: Math forum audio/video.

Educators at a small private Christian school in Olde Town Augusta are seeing results with a math curriculum imported from halfway around the world.

For the past three years, Heritage Academy has used Singapore Math as its basal math curriculum for kindergarten through sixth grade.

In the first year the school adopted Singapore Math, all of its kindergarten and first-grade pupils met or exceeded proficiency standards on the Iowa Tests of Basic Skills, as did 80 percent of second-graders.

Why use math from Singapore?Related: Math Forum Audio/Video.

Respondents focus their brief on arguing that no reasonable school board would adopt “inquiry-based” high school mathematics textbooks instead of “direct instruction” textbooks. There are “dueling experts” and other conflicting evidence regarding the best available material for teaching high school math, and the Seattle School Board (“the Board”) gave due consideration to both sides of the debate before reaching its quasi legislative decision to adopt the Discovering series and other textbooks on a 4-3 vote.

The trial court erred by substituting its judgment for the Board’s in determining how much weight to place on the conflicting evidence. Several of the “facts” alleged in the Brief of Respondents (“BR”) are inaccurate, misleading, or lack any citation to the record in violation of RAP l0.3(a)(4). The Court should have an accurate view of the facts in the record to decide the important legal issues in this case. The Board is, therefore, compelled to correct any misimpressions that could arise from an unwary reading of respondents’ characterization of the facts.Much more on the successful citizen lawsuit overturning the Seattle School District’s use of Discovery Math, here. http://seattlemathgroup.blogspot.com/. Clusty Search: Discovery Math.

Local links: Math Task Force, Math Forum Audio/Video and West High School Math Teachers letter to Isthmus.

I know that I’m inviting trouble with this, but something that Reader wrote in a comment on another thread piqued my interest. I would like to discuss only a narrow question. Please don’t expand the discussion.

Writing about Everyday Math and Singapore, Reader wrote: “The fact is, the newer curricula stress more problem solving and discovery. That is, it’s doing more than a lot of older curricula.”

Here’s my question: can problem-solving be taught?

I mean this in the nicest possible way and I don’t have an answer myself. I’m not sure, I’m asking. Can people be taught or trained in problem-solving techniques or is it a talent that some people just natively have more than others? Problem solving requires a certain amount of creativity, doesn’t it? It can require a flexibility of perspective, curiosity, persistence, and pattern recognition. Can these things be taught or trained?

Related: Math Forum audio/video links.

via a kind reader. Related: Connected Math, Math Forum audio/video, the successful Seattle Discovery Math lawsuit and the Madison School District Math Task Force (SIS links).

Nineteen years ago, Jennifer Courter set out on a career path that has since provided her with a steady stream of lucrative, low-stress jobs. Now, her occupation — mathematician — has landed at the top spot on a new study ranking the best and worst jobs in the U.S.

“It’s a lot more than just some boring subject that everybody has to take in school,” says Ms. Courter, a research mathematician at mental images Inc., a maker of 3D-visualization software in San Francisco. “It’s the science of problem-solving.”

The study, to be released Tuesday from CareerCast.com, a new job site, evaluates 200 professions to determine the best and worst according to five criteria inherent to every job: environment, income, employment outlook, physical demands and stress. (CareerCast.com is published by Adicio Inc., in which Wall Street Journal owner News Corp. holds a minority stake.)

The findings were compiled by Les Krantz, author of “Jobs Rated Almanac,” and are based on data from the U.S. Bureau of Labor Statistics and the Census Bureau, as well as studies from trade associations and Mr. Krantz’s own expertise.

According to the study, mathematicians fared best in part because they typically work in favorable conditions — indoors and in places free of toxic fumes or noise — unlike those toward the bottom of the list like sewage-plant operator, painter and bricklayer. They also aren’t expected to do any heavy lifting, crawling or crouching — attributes associated with occupations such as firefighter, auto mechanic and plumber.

The study also considers pay, which was determined by measuring each job’s median income and growth potential. Mathematicians’ annual income was pegged at $94,160, but Ms. Courter, 38, says her salary exceeds that amount.Related:

- The Madison School District is holding public meetings tonight (LaFollette High School) and tomorrow (Memorial High School) on the recent Math Task Force Report.
- Math Forum audio/video
- West High School Math Teachers Letter to Isthmus
- Madison and Wisconsin Math Data, 8th Grade by Richard Askey
- UW-Madison Math Faculty letter to the Madison School District
- Math report commentary by TJ Mertz, more here
Parents and citizens have another opportunity to provide input on this matter when Brian Sniff, Madison’s Math Coordinator and Lisa Wachtel, Director of Madison’s Teaching & Learning discuss the Math Report at a Cherokee Middle School PTO meeting on January 14, 2009 at 7:00p.m.

Terry Millar: Improvement in math and science education is a priority in Madison, as it is across the nation. Science, technology, engineering and math (STEM) training is not only of growing importance to our technology-dependent society, these disciplines also represent esthetically compelling advances in human knowledge that all students should have the opportunity to appreciate. […]

Lynn Thompson: But they strongly believe that their math textbooks should include actual math. Donald’s “Connected Mathematics” book at Harbour Pointe Middle School in Mukilteo asks him to arrange a list of 20 cities in order of their populations, all in the tens of millions. Yes, he concedes, he must recognize differences among numbers, but […]