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Wisconsin Public Policy Forum Madison School District Report[PDF]

Friday Afternoon Veto: Governor Evers Rejects AB446/SB454; an effort to address our long term, disastrous reading results

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.

When A Stands for Average: Students at the UW-Madison School of Education Receive Sky-High Grades. How Smart is That?

“Some schools with less than 5% proficiency in math and English are rated as “Meets” or “Exceeds” expectations on the current report card”

Will Flanders:

WILL Research Director Will Flanders’s new policy brief, Needs Improvement: How Wisconsin’s Report Card Can Mislead Parents, provides an important explanation of how Wisconsin’s school report cards work and how the various inputs work towards a school’s score. Specifically, Flanders highlights:

School report card scores vary widely based on student demographics. In schools with fewer low-income students, overall performance is given more weight. In schools with more low-income students, growth is given more weight.
Wisconsin’s report card can make some bad schools look good. Some schools with less than 5% proficiency in math and English are rated as “Meets” or “Exceeds” expectations on the current report card. This severely limits the ability of families to make use of the report card as a metric for school quality.
The report card harms private schools in the choice program due to a mismeasurement of disability & economic status. Disability status affects growth scores and the economic status of students effects the weight of growth in the report card score. Both of these factors are often measured inaccurately in choice schools, harming their overall scores.
Private school systems cannot get school-level report cards. The Wisconsin Department of Public Instruction (DPI) has made it so that private school systems must choose between byzantine enrollment and auditing systems or getting individual school report cards for their schools. Without individual school report cards, it is more difficult for schools to determine how each school in their system is doing.

The Report (PDF).

Underly and our long term disastrous reading results….

WEAC: $1.57 million for Four Wisconsin Senators

Legislation and Reading: The Wisconsin Experience 2004-

“Well, it’s kind of too bad that we’ve got the smartest people at our universities, and yet we have to create a law to tell them how to teach.”

The data clearly indicate that being able to read is not a requirement for graduation at (Madison) East, especially if you are black or Hispanic”

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

Wisconsin Public Policy Forum Madison School District Report[PDF]

Friday Afternoon Veto: Governor Evers Rejects AB446/SB454; an effort to address our long term, disastrous reading results

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.

When A Stands for Average: Students at the UW-Madison School of Education Receive Sky-High Grades. How Smart is That?

Math Curriculum

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 of Kansas City. “You have to explicitly teach the content.”

As American schools work to turn around math scores that plunged during the pandemic, some researchers are pushing for more attention to a set of research-based practices for teaching math. The movement has passionate backers, but is still in its infancy, especially compared with the phonics-based “science of reading” that has inspired changes in how classrooms across the country approach literacy.

Math forum audio/video.

Singapore Math

Connected Math

Discovery Math

Remedial math

Madison’s math review task force.

UC faculty speak out against reduced math rigor

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 order “to expand course offerings beyond the traditional sequence of math courses that may lead students into the ‘race to calculus,’ to be more inclusive of new and innovative advanced math courses (e.g., data science), and to address equity issues.”

Math forum audio/video.

Singapore Math

Connected Math

Discovery Math

Remedial math

Madison’s math review task force.

‘Nation’s Report Card’ (NAEP) shows math skills reset to the level of the 1990s, while struggling readers are scoring lower than they did in 1971

Kevin Mahnken:

COVID-19’s cataclysmic impact on K–12 education, coming on the heels of a decade of stagnation in schools, has yielded a lost generation of growth for adolescents, new federal data reveal.

Wednesday’s publication of scores from the National Assessment of Educational Progress (NAEP) — America’s most prominent benchmark of learning, typically referred to as the Nation’s Report Card — shows the average 13-year-old’s understanding of math plummeting back to levels last seen in the 1990s; struggling readers scored lower than they did in 1971, when the test was first administered. Gaps in performance between children of different backgrounds, already huge during the Bush and Obama presidencies, have stretched to still-greater magnitudes.

The bad tidings are, in a sense, predictable: Beginning in 2022, successive updates from NAEPhave laid bare the consequences of prolonged school closures and spottily delivered virtual instruction. Only last month, disappointing resultson the exam’s history and civics component led to a fresh round of headlines about the pandemic’s ugly hangover.

But the latest release, highlighting “long-term trends” that extend back to the 1970s, widens the aperture on the nation’s profound academic slump. In doing so, it serves as a complement to the 2020 iteration of the same test, which showed that the math and English skills of 13-year-olds had noticeably eroded even before the emergence of COVID-19.

Seems like huge spending increases during COVID didn't help.

We need to hold students & teachers accountable and not let the rampant social promotion in K-12 schools continue. https://t.co/krIJY1DgzV
— Robin Vos (@repvos) June 21, 2023

“Well, it’s kind of too bad that we’ve got the smartest people at our universities, and yet we have to create a law to tell them how to teach.”

The data clearly indicate that being able to read is not a requirement for graduation at (Madison) East, especially if you are black or Hispanic”

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

Wisconsin Public Policy Forum Madison School District Report[PDF]

http://seattlemathgroup.blogspot.com/.

Friday Afternoon Veto: Governor Evers Rejects AB446/SB454; an effort to address our long term, disastrous reading results

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.

When A Stands for Average: Students at the UW-Madison School of Education Receive Sky-High Grades. How Smart is That?

Forcing maths on teenagers is cruel and counterproductive: Rishi Sunak would be better focusing on primary schools than making students study the subject to age 18Forcing maths on teenagers is cruel and counterproductive:

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 wrote a column saying something had gone badly wrong when so many people in one of the most intellectually rarefied towns on the planet were not only dunces at maths but wore their inadequacy as if it were a charming quirk.

This week, the prime minister made the same point when he railed against the country’s “anti-maths mindset”. Rishi Sunak’s solution is to force all teenagers to study the subject until they are 18; mine was to roll my sleeves up and become a maths teacher myself.

The difference between our approaches is that mine did no harm. I tried my hardest to get teenagers to learn probability and algebra but after a year, with the relief that comes from deciding to do what you love, I switched to teaching economics and business instead. Sunak’s scheme may be equally well intentioned, but coercing students to go on doing what they hate will be ruinously expensive, counterproductive and borderline cruel.

Sunak, whose formative experience of maths was from his own school days at Winchester, would have done well to visit me as I entirely failed to teach standard-form maths to a Year 10 bottom set in an inner London comp. He would have witnessed a struggling student asking the million-dollar question: “Miss, why are we doing this?” There was no earthly reason. None of them would ever need standard form again. Surely Sunak would have seen that his first task was to do something about the 30 per cent of students nationally who fail to get the lowest pass at maths GCSE.

These teenagers are now required to retake the exam over and over until they pass or turn 18 — with the result that 100,000 students each year will have spent two years notching up successive failures, leaving most of them at 18 feeling they are not only failures at maths, but at life.

Remedial math at the University of Wisconsin.

“used surveys in early 2020 to assess how students felt in their math classes and what teachers thought about their own efforts to help students feel like they belong”

Much more on the successful citizen lawsuit overturning the Seattle School District’s use of Discovery Math, here.

Discovery Math

Connected math.

Singapore Math

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

Notes on math education

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 Education. Dara Shifrer, associate professor of sociology at Portland State and former middle school math teacher, led the study.

Who can do well in math? How you answer that question may depend on where you live. Whereas people in East Asian countries tend to believe that hard work can lead anyone to succeed at math, people in the United States are more likely to believe that people need natural talent in the subject to succeed. This perception means that students in the U.S. may be particularly susceptible to racial and gender stereotypes about who is and is not “good at math.”

“Americans don’t realize what strange stereotypes we have about math,” says Shifrer. “It really sets kids up for failure here.”

The fact that some high school students are more likely to give up on math than others has important implications for their individual futures and for the lack of diversity in STEM (science, technology, engineering and math) careers.

Much more on the successful citizen lawsuit overturning the Seattle School District’s use of Discovery Math, here.

http://seattlemathgroup.blogspot.com/.

Discovery Math

Connected math.

Singapore Math

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

Notes on Parents and Math Rigor

Ellen Gamerman:

On RussianMathTutors.com, a site promoting a Soviet-era style of math instruction, a sample question involves Masha, a mom who bakes a batch of unmarked pies: three rice, three bean and three cherry. The student must determine how Masha can find a cherry pie “by biting into as few tasteless pies as possible.”

While Masha is biting pies, American parents are eating it up.

In the smarter, faster, better quest that is child-rearing in the United States, goal-oriented moms and dads eager to give their children an academic edge have long looked beyond U.S. borders for math education. Singapore math promotes concept mastery and critical thinking. Japanese math espouses the discipline of daily study. Now, another turbocharged math style is having its moment. Russian math, which uses reasoning and abstract concepts to build understanding, is lighting up parent group chats as the country emerges from a pandemic that left children zoning out over Zoom and schools prioritizing social-emotional recovery over homework.

“I always think for students it’s great to aim higher,” said Andrea Campbell, a mother from Newcastle, Calif. Her three children have studied with $20-an-hour instructors from Russian Math Tutors for the past two years as they pursue math competitions. “For math, you can’t do enough.”

Math Forum Audio / Video

Madison’s Math Task Force

21% OF UNIVERSITY OF WISCONSIN SYSTEM FRESHMAN REQUIRE REMEDIAL MATH

(2009) What impact do high school mathematics curricula have on college-level mathematics placement?

Related: Singapore Math.

Discovery Math.

Connected Math.

Math education outcomes: credit card edition

Sumit Agarwal, Andrea Presbitero, André F. Silva, and Carlo Wix:

We study credit card rewards as an ideal laboratory to quantify the cross-subsidy from naive to sophisticated consumers in retail financial markets. Using granular data on the near universe of credit card accounts in the United States, we find that sophisticated consumers profit from reward credit cards at the expense of naive consumers who lose money both in absolute terms and relative to classic cards. We estimate an aggregate annual cross-subsidy of $15.5 billion. Notably, our results are not driven by income—while sophisticated high-income consumers benefit the most, naive high-income consumers pay the most. Banks lure consumers into the use of reward cards by offering lower interest rates than on comparable classic cards and bank profits are highest for borrowers in the middle of the credit score distribution. We show that credit card rewards transfer wealth from less to more educated, from poorer to richer, from rural to urban, and from high to low minority areas, thereby widening existing spatial disparities.

Math Forum audio video.

Connected math

Discovery math

Wisconsin students’ math, reading scores drop from 2019

Scott Girard:

In reading, Wisconsin eighth graders saw their average score drop by five points compared to a three-point drop for the nation. Wisconsin students hadn’t had an average score this low in NAEP data going back to 1998.

The data clearly indicate that being able to read is not a requirement for graduation at (Madison) East, especially if you are black or Hispanic”

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

Wisconsin Public Policy Forum Madison School District Report[PDF]

Ben Chapman and Douglas Belkin:

Friday Afternoon Veto: Governor Evers Rejects AB446/SB454; an effort to address our long term, disastrous reading results

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.

No When A Stands for Average: Students at the UW-Madison School of Education Receive Sky-High Grades. How Smart is That?

How One School Is Beating the Odds in Math, the Pandemic’s Hardest-Hit Subject:
Benjamin Franklin Elementary in Connecticut overhauled the way it taught — and the way it ran the classroom. Every minute counted

Sarah Mervosh:

It’s just after lunchtime, and Dori Montano’s fifth-grade math class is running on a firm schedule.

In one corner of the classroom, Ms. Montano huddles with a small group of students, working through a lesson about place value: Is 23.4 or 2.34 the bigger number? Nearby, other students collaborate to solve a “math mystery.” All the while, Ms. Montano watches the time.

At 1:32 p.m., she presses a buzzer, sending students shuffling: “Ladies and gentleman, switch please!”

This is what pandemic recovery looks like at Benjamin Franklin Elementary in Meriden, Conn., where students are showing promising progress in math, a subject that was hit hard during the shift to remote learning, even more so than reading.

The school’s math progress may not look like much: a small improvement amounting to a single decimal point increase from spring 2019 to the spring of this year, according to state test results.

But by pandemic standards, it was something of a minor miracle, holding steady when test scores nationally have fallen, particularly among low-income, Black and Hispanic students, the children that Franklin serves. About three in four students at the school qualify for free or reduced lunch, and a majority are Hispanic, Black or multiracial.

The groundwork was laid before the pandemic, when Franklin overhauled how math was taught.

It added as much as 30 minutes of math instruction a day. Students in second grade and above now have more than an hour, and fourth and fifth graders have a full 90 minutes, longer than is typical for many schools. Students no longer have lessons dominated by a teacher writing problems on a white board in front of the class. Instead, they spend more time wrestling with problems in small groups. And, for the first time, children who are behind receive math tutoring during the school day.

Related: math forum audio and video

Discovery math

Connected math

Singapore math

The drops in test scores were roughly four times greater among the students who were the least proficient in both math and reading

Scores released Thursday show unprecedented drops on the long-term trends tests that are part of the National Assessment of Educational Progress, known as the “Nation’s Report Card.” The tests are administered to U.S. students age 9.

The test scores reflect more than a pandemic problem, with experts saying it could take a generation for some scores to rebound. Some say current achievement levels could weigh on economic output in years to come.

The scores of lower-performing students are most troubling and could take decades to bounce back, said Dr. Aaron Pallas, professor of Sociology and Education at Teachers College, Columbia University.

“I don’t think we can expect to see these 9-year-olds catch up by the time they leave high school,” he said, referring to the lower-performing students. “This is not something that is going to disappear quickly.”

The data clearly indicate that being able to read is not a requirement for graduation at (Madison) East, especially if you are black or Hispanic”

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

Wisconsin Public Policy Forum Madison School District Report[PDF]

Friday Afternoon Veto: Governor Evers Rejects AB446/SB454; an effort to address our long term, disastrous reading results

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.

No When A Stands for Average: Students at the UW-Madison School of Education Receive Sky-High Grades. How Smart is That?

Literacy Scores by Country, in Reading, Math, and Science

Nathan Yau:

Among 15-year-old students, here’s how 77 countries compare in reading, math, and science. Higher scores are better.

Mandates, closed schools and Dane County Madison Public Health.

The data clearly indicate that being able to read is not a requirement for graduation at (Madison) East, especially if you are black or Hispanic”

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

Wisconsin Public Policy Forum Madison School District Report[PDF]

https://www.schoolinfosystem.org/pdf/2009/05/wollack_fishwmc2009.pdf

Friday Afternoon Veto: Governor Evers Rejects AB446/SB454; an effort to address our long term, disastrous reading results

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.

When A Stands for Average: Students at the UW-Madison School of Education Receive Sky-High Grades. How Smart is That?

Controversy Rages as California Follows SF’s Lead With New Approach to Teaching Math

Joe Hong:

At the heart of the wrangling lies a broad agreement about at least one thing:
The way California public schools teach math isn’t working. On national standardized tests, California ranks in the bottom quartile among all states and U.S. territories for 8th grade math scores.

Yet for all the sound and fury, the proposed framework, about 800-pages long, is little more than a set of suggestions. Its designers are revising it now and will subject it to 60 more days of public review. Once it’s approved in July, districts may adopt as much or as little of the framework as they choose — and can disregard it completely without any penalty.

“It’s not mandated that you use the framework,” said framework team member Dianne Wilson, a program specialist at Elk Grove Unified. “There’s a concern that it will be implemented unequally.”

K-12 Math links:

“Discovery math” (Seattle lawsuit)

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

Connected Math.

Singapore Math

Math forum

“California is on the verge of politicizing K-12 math in a potentially disastrous way”

Signatories: 1,105 as of November 5, 2021

California is on the verge of politicizing K-12 math in a potentially disastrous way. Its proposed Mathematics Curriculum Framework is presented as a step toward social justice and racial equity, but its effect would be the opposite—to rob all Californians, especially the poorest and most vulnerable, who always suffer most when schools fail to teach their students. As textbooks and other teaching materials approved by the State would have to follow this framework and since teachers are expected to use it as a guide, its potential to steal a promising future from our children is enormous.

The proposed framework would, in effect, de-mathematize math. For all the rhetoric in this framework about equity, social justice, environmental care and culturally appropriate pedagogy, there is no realistic hope for a more fair, just, equal and well-stewarded society if our schools uproot long-proven, reliable and highly effective math methods and instead try to build a mathless Brave New World on a foundation of unsound ideology. A real champion of equity and justice would want all California’s children to learn actual math—as in arithmetic, algebra, geometry, trigonometry and calculus—not an endless river of new pedagogical fads that effectively distort and displace actual math. The proposed framework:

Promotes fringe teaching methods such as “trauma-informed pedagogy.” [ch. 2, p. 16]
Distracts from actual mathematics by having teachers insert “environmental and social justice” into the math curriculum. [ch. 1, p. 35]
Distracts from actual mathematics by having teachers develop students’ “sociopolitical consciousness.” [ch. 2, p. 39]
Distracts from actual mathematics by assigning students—as schoolwork—tasks it says will solve “problems that result in social inequalities.” [ch. 7, p. 29]
Urges teachers to take a “justice-oriented perspective at any grade level, K–12” and explicitly rejects the idea that mathematics itself is a “neutral discipline.” [ch. 2, p. 29]
Encourages focusing on “contributions that historically marginalized people have made to mathematics” rather than on those contributions themselves which have been essential to the academic discipline of mathematics. [ch. 2, p. 31]
“Reject[s] ideas of natural gifts and talents” and discourages accelerating talented mathematics students. [ch. 1, p. 8]
Encourages keeping all students together in the same math program until the 11th grade and argues that offering differentiated programs causes student “fragility” and racial animosity. [ch.1, p. 15]
Rejects the longstanding goal of preparing students to take Algebra I in eighth grade, on par with high-performing foreign countries whose inhabitants will be future competitors of America’s children—a goal explicitly part of the 1999 and 2006 Math Frameworks. [ch. 9, p. 43]

We, the undersigned, disagree. Mathematics is a discipline whose language is universally accessible with good teaching. The claim that math is not accessible is an insult to the millennia of non-Western mathematicians and erases the contributions of cultures around the world to mathematics as we now know it. Large numbers of students in developing countries are currently succeeding in advanced mathematics, and American industries have been put in the position of having to encourage them to come to the United States to work.

K-12 Math links:

“Discovery math” (Seattle lawsuit)

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

Connected Math.

Singapore Math

Math forum

America’s math curricular decline

The Economist:

America has a maths problem. Its pupils have ranked poorly in international maths exams for decades. In 2018, American 15-year-olds ranked 25th in the oecd, a club of mostly rich countries. American adults ranked fourth-from-last in numeracy when compared with other rich countries. As many as 30% of American adults are comfortable only with simple maths: basic arithmetic, counting, sorting and similar tasks. American employers are desperate for science, technology, engineering and mathematics skills: nuclear engineers, software developers and machinists are in short supply. And while pupils’ maths scores are bad enough now, they could be getting worse. On the National Assessment of Educational Progress (naep), a national exam, 13-year-old pupils’ scores dropped five points in 2020 compared with their peers’ in 2012. The status quo does not add up. But teachers and academics cannot agree on where to go next.

K-12 Math links:

“Discovery math” (Seattle lawsuit)

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

Connected Math.

Singapore Math

Math forum

Proposed guidelines in California would de-emphasize calculus, reject the idea that some children are naturally gifted and build a connection to social justice. Critics say math shouldn’t be political.

Jacey Fortin:

If everything had gone according to plan, California would have approved new guidelines this month for math education in public schools.

But ever since a draft was opened for public comment in February, the recommendations have set off a fierce debate over not only how to teach math, but also how to solve a problem more intractable than Fermat’s last theorem: closing the racial and socioeconomic disparities in achievement that persist at every level of math education.

The California guidelines, which are not binding, could overhaul the way many school districts approach math instruction. The draft rejected the idea of naturally gifted children, recommended against shifting certain students into accelerated courses in middle school and tried to promote high-level math courses that could serve as alternatives to calculus, like data science or statistics.

The draft also suggested that math should not be colorblind and that teachers could use lessons to explore social justice — for example, by looking out for gender stereotypes in word problems, or applying math concepts to topics like immigration or inequality.

Just read this NYT piece on proposed California state education standards that demand that teachers change curriculums to bring racial identity politics into everyday math lessons. So I click the draft standards and the first section cited this CRT paper. https://t.co/tGoJ3nmsB9 pic.twitter.com/qCTEtqzG3T
— Lee Fang (@lhfang) November 6, 2021

K-12 Math links:
“Discovery math” (Seattle lawsuit)
https://www.schoolinfosystem.org/?s=Discovery+math

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

https://www.schoolinfosystem.org/?s=Connected+math

https://www.schoolinfosystem.org/?s=singapore+math

Math forum
https://www.schoolinfosystem.org/?s=Math+forum+audio+video

“used surveys in early 2020 to assess how students felt in their math classes and what teachers thought about their own efforts to help students feel like they belong”

Scott Girard:

Key findings include that classroom and school belonging are distinct and that teachers with more confidence in their ability to teach math had a stronger sense of classroom belonging among their students. The research also found there was no systematic difference in math classroom belonging across racial/ethnic groups or by gender.

“I’m heartened to know that second finding, that teachers’ sense of their efficacy has an impact on kids,” said Madison Metropolitan School District executive director of research and innovation Beth Vaade. “That’s what we want, we want to know as educators that what we do in a classroom is going to be connected to what scholars feel.”

MEP, which is a partnership between the University of Wisconsin-Madison and MMSD, initially hoped to use observations and interviews with students and staff to complement the data from the surveys. But the COVID-19 pandemic prevented that extra step, something researcher and MEP co-director Eric Grodsky called “disappointing.”

Specifically, they explored that feeling in middle school math classrooms. Grodsky said that decision came partly because of the “stereotype threat” surrounding the subject, with the assumption that women and students of color are worse at math creating a psychological threat as soon as they enter a classroom. MMSD STEM director Patti Schaefer said math was an “appealing” subject for this type of research.

“We see math as I’m either a math person or I’m not, a very split way of seeing ourselves in math,” Schaefer said.

To measure belonging, researchers surveyed 1,887 students and 60 teachers at five MMSD middle schools.

Math curriculum/rigor and student performance are not new topics. A few links: Connected Math, Discovery Math, Math Task Force, 21% of University of Wisconsin System Freshman Require Remedial Math, UW-LaCrosse’s Remedial Math Courses and Math forum.

What impact do high school mathematics curricula have on college-level mathematics placement? (Traditional math curriculum students placed higher).

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

Wisconsin Public Policy Forum Madison School District Report[PDF]

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.

A new law allows students to graduate from high school without the ability to read, write, or do math.

Frederick Hess:

Despite these numbers, some on the left have decided that the answer is not to insist that schools use the $190 billion in emergency federal COVID school aid to help students catch up and even excel, but to launch a nihilistic crusade in service to a warped mantra of “equity.” This is the same notion of equity that has spurred California’s move to eliminate advanced math instruction and Oregon’s Department of Education urging that teachers learn to abandon “racist” math practices like asking to students “show their work” or worry about “getting the ‘right answer.’”

What’s going on? To be blunt, too many grownups on the American left have thrown in the towel. Many of the same Democratic leaders who, just a few years ago, were cheering Common Core and Obama’s Race to the Top, now nod along as the woke fringe and “diversity, equity, and inclusion” officialdom insist that schools frequently serve as little more than engines of systemic racism. This line of argument turns out to be surprisingly convenient for Democratic officials, as it permits them to placate the woke base, back away from the kinds of demands that offend their teacher union allies, and suggest that the disappointments of grandiose school reform were a product not of their missteps or excessive faith in bureaucracies but of the public’s own moral failings.

While it may help Democrats finesse a political squeeze, this tack marks a troubling break with the recent past, when right and left agreed about the perils of the “soft bigotry of low expectations.” While the sweeping, bipartisan No Child Left Behind Act (NCLB) born of that consensus proved to be a mess as a statute—undone by unrealistic dictates and its cavalier expansion of the federal footprint—it represented a powerful, shared conviction that America’s schools must strive to educate every child; that every student should (at least!) learn how to proficiently read, write, and do math; and that we must reject those who would set different expectations for students based on their color creed—whether those are fueled by bigotry or misplaced benevolence.

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

Wisconsin Public Policy Forum Madison School District Report[PDF]

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.

Baltimore High School Students Perform Math & Reading at Grade School Level

Chris Papst:

“My son is really in desperate need of tutoring in math,” Gray told Project Baltimore. “And, how did my son pass if he didn’t know none of this math?”

Now, Project Baltimore has obtained student assessment scores from just one class, in one high school, that show how widespread the problem appears to be.

iReady is a system schools use to measure at which grade level a student is performing. In Baltimore City Schools, iReady assessments are given in math and reading, three times a year, to measure a student’s progress. The scores we obtained show some students are performing 10 grade levels below their age.

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

Wisconsin Public Policy Forum Madison School District Report[PDF]

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration

Gov. Kate Brown signed a law to allow Oregon students to graduate without proving they can write or do math. She doesn’t want to talk about it.

Hillary Borrud:

For the next five years, an Oregon high school diploma will be no guarantee that the student who earned it can read, write or do math at a high school level.

Gov. Kate Brown had demurred earlier this summer regarding whether she supported the plan passed by the Legislature to drop the requirement that students demonstrate they have achieved those essential skills. But on July 14, the governor signed Senate Bill 744 into law.

Through a spokesperson, the governor declined again Friday to comment on the law and why she supported suspending the proficiency requirements.

Brown’s decision was not public until recently, because her office did not hold a signing ceremony or issue a press release and the fact that the governor signed the bill was not entered into the legislative database until July 29, a departure from the normal practice of updating the public database the same day a bill is signed.

The Oregonian/OregonLive asked the governor’s office when Brown’s staff notified the Legislature that she had signed the bill. Charles Boyle, the governor’s deputy communications director, said the governor’s staff notified legislative staff the same day the governor signed the bill.

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

Wisconsin Public Policy Forum Madison School District Report[PDF]

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration

“Social Justice Math” & California

Joanne Jacobs:

California’s new Mathematics Curriculum Framework has become a political hot potato, reports Lawrence Richard on Yahoo News. The state education board will postpone a decision on implementation for 10 months in response to critics who charged it would “de-mathematize math” and prevent high achievers from taking advanced classes.

2007 Math Forum

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

Wisconsin Public Policy Forum Madison School District Report[PDF]

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.

Replace the Proposed New California Math Curriculum Framework

Independent Institute:

2007 Math Forum

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

George Zacharopoulos, Francesco Sella & Roi Cohen Kadosh:

Wisconsin Public Policy Forum Madison School District Report[PDF]

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.

The impact of a lack of mathematical education on brain development and future attainment

Formal education has a long-term impact on an individual’s life. However, our knowledge of the effect of a specific lack of education, such as in mathematics, is currently poor but is highly relevant given the extant differences between countries in their educational curricula and the differences in opportunities to access education. Here we examined whether neurotransmitter concentrations in the adolescent brain could classify whether a student is lacking mathematical education. Decreased γ-aminobutyric acid (GABA) concentration within the middle frontal gyrus (MFG) successfully classified whether an adolescent studies math and was negatively associated with frontoparietal connectivity. In a second experiment, we uncovered that our findings were not due to preexisting differences before a mathematical education ceased. Furthermore, we showed that MFG GABA not only classifies whether an adolescent is studying math or not, but it also predicts the changes in mathematical reasoning ∼19 mo later. The present results extend previous work in animals that has emphasized the role of GABA neurotransmission in synaptic and network plasticity and highlight the effect of a specific lack of education on MFG GABA concentration and learning-dependent plasticity. Our findings reveal the reciprocal effect between brain development and education and demonstrate the negative consequences of a specific lack of education during adolescence on brain plasticity and cognitive functions.

2007 Math Forum

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

Wisconsin Public Policy Forum Madison School District Report[PDF]

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration.

Why Do Americans Stink at Math?

Elizabeth Green:

When Akihiko Takahashi was a junior in college in 1978, he was like most of the other students at his university in suburban Tokyo. He had a vague sense of wanting to accomplish something but no clue what that something should be. But that spring he met a man who would become his mentor, and this relationship set the course of his entire career.

Takeshi Matsuyama was an elementary-school teacher, but like a small number of instructors in Japan, he taught not just young children but also college students who wanted to become teachers. At the university-affiliated elementary school where Matsuyama taught, he turned his classroom into a kind of laboratory, concocting and trying out new teaching ideas. When Takahashi met him, Matsuyama was in the middle of his boldest experiment yet — revolutionizing the way students learned math by radically changing the way teachers taught it.

Instead of having students memorize and then practice endless lists of equations — which Takahashi remembered from his own days in school — Matsuyama taught his college students to encourage passionate discussions among children so they would come to uncover math’s procedures, properties and proofs for themselves. One day, for example, the young students would derive the formula for finding the area of a rectangle; the next, they would use what they learned to do the same for parallelograms. Taught this new way, math itself seemed transformed. It was not dull misery but challenging, stimulating and even fun.

2006: Math Forum audio video

There Is No Such Thing as “White” Math

Sergiu Klainerman:

I am not at all qualified to introduce today’s guest writer, Sergiu Klainerman.

I barely eked out a C+ in high school calculus, while Sergiu is a professor of mathematics at Princeton who specializes in the mathematical theory of black holes. He’s been a MacArthur fellow, a Guggenheim fellow and is a member of the National Academy of Sciences

Mathematics allowed a young Sergiu, who came of age in Ceausescu’s Romania, to escape to a world where right and wrong couldn’t be fudged, and, ultimately, to a life of freedom in the United States. Without math, his life quite literally would not have been possible.

In the piece below he explains how activists are destroying his discipline in the name of progress. Worse, they are robbing poor children of the opportunity to raise themselves up by mastering it — with untold effects on all of us.

Math, with its seemingly unbiased tools — 2 + 2 always equals 4 — has presented a problem for an ideological movement that sees any inequality of outcome as evidence of systemic bias. The problem cannot be that some kids are better at math, or that some teachers are better at teaching it. Like so much else, the basic woke argument against math is that it is inherently racist and needs to be made antiracist. That is accomplished by undermining the notion of right and wrong answers, by getting rid of the expectation that students show their work, by referring to mathematical testing tools as racist, and by doing away with accelerated math classes.

If that sounds like a caricature, I urge you to read this whole document, funded by the Bill and Melinda Gates Foundation, which Sergiu writes about below. As the linguist John McWhorter put it in a powerful piece published yesterday: “to distrust this document is not to be against social justice, but against racism.”

Sergiu wrote me in an email that the situation in his field reminds him of this line from Thomas Sowell: “Ours may become the first civilization destroyed, not by the power of enemies, but by the ignorance of our teachers and the dangerous nonsense they are teaching our children. In an age of artificial intelligence, they are creating artificial stupidity.”

This week, as promised, is education week. Like Shark Week! But dorkier. And, I hope, far more important. This is our first installment.

I’m pleased to publish Sergiu Klainerman:

In my position as a professor of mathematics at Princeton, I have witnessed the decline of universities and cultural institutions as they have embraced political ideology at the expense of rigorous scholarship. Until recently — this past summer, really — I had naively thought that the STEM disciplines would be spared from this ideological takeover.

I was wrong. Attempts to “deconstruct” mathematics, deny its objectivity, accuse it of racial bias, and infuse it with political ideology have become more and more common — perhaps, even, at your child’s elementary school.

This phenomenon is part of what has been dubbed “The Great Awokening.” As others have explained powerfully, the ideology incubated in academia, where it indoctrinated plenty of bright minds. It then migrated, through those true believers, into our important cultural, religious and political institutions. Now it is affecting some of the country’s most prominent businesses.

Unlike the traditional totalitarianism practiced by former communist countries, like the Romania I grew up in, this version is soft. It enforces its ideology not by jailing dissenters or physically eliminating them, but by social shaming, mob punishment, guilt by association, and coerced speech.

When it comes to education, I believe the woke ideology is even more harmful than old-fashioned communism.

Communism had a strong sense of objective reality anchored in the belief that humans are capable of discovering universal truths. It forcefully asserted, in fact, the absolute truth of dialectic materialism, as revealed by its founders Marx, Engels and Lenin. Communist ideology held science and mathematics in the highest regard, even though it often distorted the former for doctrinal reasons.

Mathematics was largely immune to ideological pressure, and thus thrived in most communist countries. Being skilled in math was a source of great societal prestige for school children. And it was a great equalizer: those from socioeconomically disadvantaged families had a chance to compete on equal footing with those from privileged ones.

Math Forum audio / video

Civics: Math Rigor…

Brian Reidl:

It is not just random social-media postings. In March, MSNBC’s Brian Williams went on the air and endorsed a tweet that stated: “Bloomberg spent $500 million on ads. U.S. Population, 327 million . . . He could have given each American $1 million.” His guest, New York Times editorial board member Mara Gay, concurred that “It’s an incredible way of putting it. It’s true. It’s disturbing.”

It is not true. Instead it is a spectacular failure of arithmetic. Michael Bloomberg’s $500 million in ad purchases could have otherwise given each American $1.52 — not $1 million. And dividing Jeff Bezos’s $200 billion in wealth equally among 330 million Americans would provide $600 each, not $1 million or $3 million.

Additionally, 260,000 people “liked” a tweet condemning how “Jeff Bezos is about to become the world’s first trillionaire” (he has $800 billion to go).

It is tempting to dismiss these claims as random, innocent mathematical errors. In reality, they are central to the growing “Democratic Socialist” worldview, which is increasingly united around the belief that seizing the wealth of Jeff Bezos and other billionaires can finance the future they want. This belief explains the far Left’s non-stop fixation with billionaire wealth (such as the widely circulated but false claim that billionaires have added $584 billion in wealth since the pandemic began). In particular, the Left is obsessed with the world’s richest man (“Jeff Bezos has decided he will not end world hunger today” recently received 500,000 Twitter likes). Just last week, protesters built a guillotine in front of Bezos’s home.

Math Forum

21% of University of Wisconsin System Freshman Require Remedial Math

Assembly against private school forced closure.

Wisconsin Catholic schools will challenge local COVID-19 closing order. More.

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

MMSD Budget Facts: from 2014-15 to 2020-21 [July, 2020]

Wisconsin Public Policy Forum Madison School District Report[PDF]

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration

Madison School District to use some federal COVID-19 relief funds for online math instruction (Fall 2020 Referendum tax & Spending increase plans continue)

Logan Wroge:

The Madison School District will spend close to $500,000 out of the $8.2 million the district estimates it will receive from the federal Coronavirus Aid, Relief, and Economic Security (CARES) Act to shore up its mathematics instruction for elementary and middle school students.

Using CARES Act money, the district plans to:

• Purchase $143,808 in individual math kits for elementary students;

• License for one year at $211,750 for all elementary students learning math;

• License the i-Ready platform for one year at $122,190 for middle school mathematics.

According to memos on the online platforms, i-Ready and DreamBox will be core teaching components to “hybrid and virtual learning environments.”

Middle schools have been using i-Ready for the past two years, but the use expanded in the spring when the platform’s developer allowed all Madison students to access it, according to a memo.

“Teachers have access to materials in their classrooms that are not available at home,” said a memo on the purchase of elementary math kits. “Purchasing the students kits will provide essential resources to all students to engage in online learning with lessons provided by their teacher.”

The $2 trillion CARES Act included $30.7 billion for K-12 and higher education institutions to respond to the financial constraints and needs of the pandemic.

The School District expects to receive funds from two pots of money for K-12 schools. Kelly Ruppel, the district’s chief financial officer, said the district estimates it will be able to use $8.2 million of the $9.1 million slated to go to Madison, depending on how much private schools within the district boundaries are eligible to receive.

Costs continue to grow for local, state and federal taxpayers in the K-12 space, as well:

Let’s compare: Middleton and Madison Property taxes:

Madison property taxes are 22% more than Middleton’s for a comparable home, based on this comparison of 2017 sales.

Fall 2020 Administration Referendum slides.

(Note: “Madison spends just 1% of its budget on maintenance while Milwaukee, with far more students, spends 2%” – Madison’s CFO at a fall 2019 referendum presentation.)

Property taxes up 37% from 2012 – 2021.

MMSD Budget Facts: from 2014-15 to 2020-21

1. 4K-12 enrollment: -1.6% (decrease) from 2014-15 to projected 2020-21

2. Total district staffing FTE: -2.9% (decrease) from 2014-15 to proposed 2020-21

3. Total expenditures (excluding construction fund): +15.9% +17.0% (increase) from 2014-15 to proposed 2020-21

4. Total expenditures per pupil: +17.8% +19.0%(increase) from 2014-15 to proposed 2020-21

5. CPI change: +10.0% (increase) from January 2014 to January 202

6. Bond rating (Moody’s): two downgrades (from Aaa to Aa2) from 2014 to 2020

Sources:

1. DPI WISEdash for 2014-15 enrollment; district budget book for projected 2020-21 enrollment

2. & 3.: District budget books

5. Bureau of Labor Statistics (https://www.bls.gov/data/)

6. Moody’s (https://www.moodys.com/)

– via a kind reader (July 9, 2020 update).

2017: West High Reading Interventionist Teacher’s Remarks to the School Board on Madison’s Disastrous Reading Results

Madison’s taxpayer supported K-12 school district, despite spending far more than most, has long tolerated disastrous reading results.

My Question to Wisconsin Governor Tony Evers on Teacher Mulligans and our Disastrous Reading Results

Math from Three to Seven:

Wisconsin Public Policy Forum Madison School District Report[PDF]

Booked, but can’t read (Madison): functional literacy, National citizenship and the new face of Dred Scott in the age of mass incarceration

Options for giving math talks and lectures online

Terry Tao:

As part of social distancing efforts to slow down the spread of the novel coronavirus, several universities have now transitioned, or begun transitioning, to online teaching models. (My home university of UCLA has not yet done so, but is certainly considering the option. UPDATE: we are transitioning.) As a consequence, I thought it might be an appropriate time to start a discussion on the pros and cons of various technologies for giving talks and lectures online, particularly in the context of mathematical talks where there may be special considerations coming for instance for the need to do mathematical computations on a blackboard or equivalent. My own institution is for instance recommending the use of Zoom for lectures and Respondus for giving finals, and has a limited number of classrooms set up for high quality video and audio casting, as well as a platform for discussion forums and course materials for each class. For smaller meetings, such as one-on-one meetings with graduate students, one can of course improvise using off-the-shelf tools such as Skype. I would be interested in knowing what other options are available and what success lecturers have had with them.

Company drops lawsuit against parent who has led opposition to Wake’s math curriculum

T Keung Hui:

The provider of Wake County’s controversial high school math curriculum had dropped its lawsuit against a Cary parent who is leading the fight to get the program dropped from the district’s schools.

The Mathematics Vision Project had filed a lawsuit in July in a Utah state court accusing Blain Dillard of making false and defamatory statements about the MVP Math program that the company says harmed its business. Dillard had responded with his own countersuit, charging that MVP was trying to chill free speech rights.

In a joint settlement released Tuesday, both parties said that they had agreed to dismiss their lawsuits.

Related: Madison’s math task force and forum.

Blocks from the glitz of Fiserv Forum, a Milwaukee school flounders and a community shrugs

Alan Borsuk:

Let me suggest that at least a bit of our attention should focus on the Wisconsin Conservatory of Lifelong Learning, known as WCLL (pronounced “wickle”).

There seems to be a surge of unsettling things happening on the Milwaukee education landscape, some of them just more of the same (low student achievement, divisive politics) and some of them not so typical (corruption).

Sweeping things under the carpet or collectively shrugging our shoulders are not good long-term strategies for dealing with these situations, but they seem to be popular practices.

Start with WCLL, an MPS kindergarten through 12th-grade school with about 625 students. The school originally was located on the far south side. It moved a few years ago to the Sarah Scott building at 1017 N. 12th St. That building has housed a list of schools that didn’t do well. WCLL is following suit.

According to data from the state Department of Public Instruction, 1.5% of WCLL’s third through eighth graders were proficient in reading and math last year, 75.4% were rated “below basic” in reading and 82.8% “below basic” in math. Daily attendance averaged 77% and the four-year graduation rate was 38.2%.

Lately, WCLL has been in the news because of a series of fights involving lots of kids that were caught on phone video. Some parents have called the school out of control. The response from MPS leaders has been muted and unspecific. To an outside eye, there’s no sign of doing something to change what’s going on.

We need to change how maths is taught in schools

Bobby Seagull:

Being good at maths does not necessarily make you good at managing money. You might be able to use Pythagoras’ theorem, but can you compare the merits of a fixed-rate mortgage with a floating one? And while you can handle quadratic inequalities, how confident would you feel working out credit card interest?

Finishing GCSE maths exams aged 16, most of us never again encounter trigonometry and the Sohcahtoa mnemonic, the joy of simultaneous equations or how to work out the volume of a sphere (4/3πr³). So we might ask, “What was the point of school maths?”

As a maths teacher, I love my subject. I find beauty in the way that patterns in the world can be explained by maths — whether it is the insect cicadas emerging in prime number cycles to evade predators or how fractal patterns permeate snowflakes. However, you can achieve the top grade in GCSE Maths (A* in old money, but now a shiny new grade 9) and still not be practically proficient with numbers in the real world, especially when it comes to money.

This is why I am supporting the first National Numeracy Day next Wednesday (I am an ambassador for the charity behind it, which focuses on improving numeracy for adults). Their headline statistic is that just under half of UK working-age adults have the numeracy skills numeracy skills of a primary schoolchild.

This is bad for the individuals concerned and for the companies they work for. The charity has developed “the essentials of numeracy” to test the skills and attitudes needed to use numbers and data to make good decisions at work and home.

Related: Math Forum.

Math from Three to Seven

A question of culture

When I was a grad student at UC Berkeley (in the late 1980s), it was under- stood, among my American classmates, that the Eastern Europeans were simply better. They weren’t genetically superior; indeed, many of my Amer- ican classmates, myself included, were themselves descended from Eastern European immigrants. And we knew that we weren’t stupid. Many of us had excelled at mathematical olympiads, even at the international level. But at Berkeley, the Eastern Europeans — students and faculty alike — were known for their intensity.

American-dominated seminars might last for one polite hour; in contrast, a Russian or Rumanian seminar would go on for an entire argumentative evening. Some of us joked that the Russians really came from the planet Krypton, attaining super powers when they came to live among us.

All joking aside, we fledgling mathematicians understood that the single most important thing was not raw intelligence or knowledge (Americans tend to lag behind in the latter compared to all international students). What mattered was passion. The way to become successful in mathematics, like almost every endeavor, is to care about it, to love it, to obsess over it. And in this, Eastern Europeans had a clear superiority, a cultural advantage. They had been trained, from an early age, to love mathematics more intensely.

For many years, dating from at least the Sputnik era, America has suf- fered from an educational inferiority complex. We try to catch up, hunting for the secret ingredients that other nations use. Should we adopt the Sin- gapore curriculum? Put our kids in after-school Kumon programs? Teach them meditation? Yoga?

There’s nothing wrong with any of this; examining the practices of oth- ers’ is bound to be enriching. But it’s not the ingredients that really matter.

There is no single magical special sauce. What you need is a culture of in- tellectual inquiry, and one that fits.

Related: Math Forum.

Mathematics I use

Fan Cross:

Recently, on an online forum, a question was posed: How much, and what kind, of mathematics does a working programmer actually use? Here is my answer.

First, I and almost all programmers use a lot of boolean logic, from evaluating boolean expressions for conditionals and loop exit criteria, to rearranging the terms of such expressions according to, e.g., De Morgan’s laws. Much of our work borders on the first-order predicate calculus and other predicate logics in the guise of analysis of preconditions, invariants, etc (though it may not always be presented as such).

Next, I do a lot of performance analysis. The kind of data sets we process these days are massive. In 2010, Eric Schmidt made a comment at the Techonomy conference that we (humans) produce as much data in two days as ever existed world-wide in 2003. I want to be able to process large chunks of that and infer things from it, and understanding the space and time complexity of the operations we apply to the data is critical to determining whether the computations are even feasible. Further, unlike in much traditional big-O or theta analysis, the constant factors matter very much at that kind of scale: a factor of 2 will not change the asymptotic time complexity of an algorithm, but if it means the difference between running it over 10,000 or 20,000 processors, now we are talking about real resources. The calculations tend to be much more intricate as a result. Examples: can I take some linear computation and reduce it in strength to a logarithmic computation? Can I reduce memory usage by a factor of three? Etc.

Rethinking High School Math

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 an earlier story. Native Americans have similar patterns.

“Research indicates that forcing students to take Algebra I before they’re ready can be harmful,” writes Sawchuk. “Is it because they’ve correctly assessed students’ ability and put them in the appropriate course?” said Joshua Goodman, an associate professor of public policy at Harvard’s Kennedy School. “Or is it because there’s some amount of discrimination going on?”

Related: Math Forum Audio/Video.

Checking In: Are Math Assignments Measuring Up?

Keith Dysarz:

Nearly every state includes measures of college- and career-readiness in their accountability plans under the Every Student Succeeds Act, and the quality of classroom assignments can help gauge whether students are being prepared for success beyond high school.

What is Equity In Motion?

In this series, we look at how issues or equity are playing out in the daily activities of schools and educators. Specifically, do classroom assignments reflect the more rigorous standards for college- and career-readiness?

Math Forum audio and video.

Just teach my kid the math

James Tanton:

It is astounding to me that mathematics – of all school subjects – elicits such potent emotional reaction when “reform” is in the air. We’ve seen the community response to the Common Core State Standards in the U.S., the potency of the Back to Basics movement in Alberta, Canada, and the myriad of internet examples of the absolute absurdity of “new math.”

At face value, the strong reactions we see can be interpreted as paradoxical. Parents might openly admit they themselves did not understand mathematics, that they actively hate mathematics even, but insist that we don’t dare do anything different for their child in math class! Parents’ befuddlement over their child’s third-grade homework might be seen as a wrong of the new curriculum, not as evidence of the failing of their own mathematics education, that they weren’t provided the flexibility and agility of thought to see simple arithmetic in multiple lights.

It seems that previous generations were seduced to equate familiarity with understanding. For instance, our standard arithmetic algorithms are somewhat bizarre – they are the end result of a human process of codifying arithmetical thinking, designed with the extra goal of using as little of precious 17th-century ink as possible. But if one does them often enough, their routine begins to feel comfortable and familiar.

Related: Math Forum

Connected math

13 Baltimore City High Schools, zero students proficient in math

Chris Papst:

Project Baltimore analyzed 2017 state test scores released this fall. We paged through 16,000 lines of data and uncovered this: Of Baltimore City’s 39 High Schools, 13 had zero students proficient in math.

Digging further, we found another six high schools where one percent tested proficient. Add it up – in half the high schools in Baltimore City, 3804 students took the state test, 14 were proficient in math.

Related: Math Forum

James Wollack
and Michael Fish:

Déjà vu: Madison elementary school students explore the district’s new math curriculum

Amber Walker:

MMSD highlighted the success of the new math curriculum in its annual report, released last July. The report said the first cohort of schools using Bridges saw an eight-point increase in math proficiency scores and nine-point gains in math growth in one school year on the spring Measures of Academic Progress (MAP) exam for third through fifth grade students.

By comparison, fifth grade MAP proficiency scores across the district increased eight points in the last four years.

“(Bridges) focuses on developing the students’ understanding of math concepts,” Davis said. “It is not about how students can memorize certain skills, but really around their ability to problem solve and look at math in more complex ways…and explain their reasoning to their teachers and peers.”

Related (deja vu):

Math. It’s not just for breakfast any more.

David Burkehead:

This is just simple math. People compare some “big ticket” item with “small ticket” items and don’t mention how the very large numbers of those small ticket items add up, or how very little the large ticket item would really stretch among the many to whom those small ticket items apply.

So when someone says “if we can afford X, then surely Y isn’t too expensive” take a closer look. Just how much of those “Y” do we have to buy and how much is the total cost?

Related: Math Forum audio and video.

Michelle Obama at WWDC: Bad Math Teachers Drove My Daughters Out of STEM

Slashdot.org:

“I have two daughters now who are perfectly good in math, but they had one or two bad math teachers and they are done. That’s what happens to girls. They walk away from tech and science. And there’s something going on that is not just about the girls. There’s something going on with how these subjects are taught.”

(2009) What impact do high school mathematics curricula have on college-level mathematics placement?

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

2012: “An increasing number of freshmen in the UW System need remedial math when they start college, according to UW officials.”

2014: “

The UW’s freshman math remediation rate of 21% is below the national average of 25% to 35%, according to Cross.

UW Regent Jose Vasquez bristled at the UW System taking on “a problem that is really our cohort’s problem,” referring to K-12. “The problem was not created by the university and I’m not convinced we can solve it within the university.”

He advocated earlier intervention in high school.

”

Related: Math Forum audio/video.

and: Foundations of Reading Results (Wisconsin Education Schools), or MTEL arrives.

Why Singapore’s kids are so good at maths

aJeevan Vasagar:

The classrooms at Admiralty are sparsely decorated. When I visit a class of 13-year-olds, there’s a single artwork on the back wall; a paper cut-out of a cherry tree scattering blossom. At the front, where the teacher stands, is a whiteboard, a projector, a Singapore flag and a clock. I am later told that other decorations had been removed to avoid distracting or aiding students during a round of tests.

The subject is English, a second language for most of the children here, who speak either Malay or Chinese at home. At the front of the class, the teacher, Wendy Chen, is showing a film of migrant workers responding to racist comments. It’s a controversial subject: foreign labourers who work in construction, manufacturing and domestic service are often targets of racial prejudice in Singapore. Chen strips the language down to its constituent parts, asking the 13-year-old students to look at the use of the pronouns “we” and “they”. She hands out a newspaper cutting, again about migrant workers, and asks them to analyse it. “Underline who, what, when, where, how,” she instructs briskly.

The atmosphere is industrious. Throughout the day, the children work quietly at their tasks with relatively little chatter. Corporal punishment is permitted as a last resort — for boys only — at Singapore schools. When the teachers need to command attention, they strike an insistent note rather than raising their voices. One teacher, as she senses her class flagging, begins to pepper her instructions with the phrase “my dears”. Further absorbing discipline, many of the children join police or military cadet organisations, and can be seen dressed in uniform and standing to attention in the schoolyard after class. For the boys, who face two years’ national service after graduating from high school, it’s a particularly useful preparation.

Singapore Math.

Math Forum Audio and Video

For Pi Day, key figures on math and education in the U.S.

Monica Anderson:

For almost 30 years, math enthusiasts have been taking part in festivities on March 14 to honor an infinitely long number beginning with 3.14 – the ratio of a circle’s circumference to its diameter, otherwise known as pi.

The first official Pi Day was March 14, 1988, when physicist Larry Shaw led staff and visitors to San Francisco’s Exploratorium in a celebration of all things pi-related. Since then, it has been celebrated across the globe, with universities, conferences and even pizzerias honoring the day.

To mark Pi Day, here are four findings about math and education in the United States:

Related: Math Forum audio and video.

Goodbye, maths and English. Hello, teamwork and communication?

Alex Gray:

It’s no longer enough to fill your CV with impressive grades. Employers are looking beyond qualifications to figure out what other skills their candidates have.

Cognitive skills in topics like maths and English have long been used as to measure the calibre of a job candidate. But a report by The Hamilton Project, an economic think-tank, says that non-cognitive skills are also integral to educational performance and success at work – and are becoming increasingly so.

Non-cognitive skills are your “soft skills”: things like how well you can communicate, how well you work with others, how well you lead a team and how self-motivated you are.

K-12 Math Rigor? Are High School Graduates Capable Of Basic Cost/Benefit Calculations…

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, regardless of their credit history.

After accounting for basic living expenses, the average Harvard A.R.T. Institute graduate has to pay 44 percent of discretionary income just to make the minimum loan payment.

PDF Report link.

Related: Math Forum audio/video

21% OF UNIVERSITY OF WISCONSIN SYSTEM FRESHMAN REQUIRE REMEDIAL MATH

Madison’s 2009 (!) Math Task Force

DEJA VU: REPORT OF THE 1965 MADISON SCHOOL DISTRICT MATH 9 TEXTBOOK COMMITTEE.

More regulation simply makes things worse. Why not make sure that students can adequately assess the cost and benefits of their choices?

Big bang for just a few bucks: The impact of math textbooks in California

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 four of the most popular books in the state from 2008-2013 and find that one—Houghton Mifflin California Math—consistently outperforms the other three. The superior performance of California Math persists up to four years after adoption and shows up in grades 3, 4, and 5.

The textbook impacts we identify are educationally meaningful and come at an extremely low cost. With regard to cost, textbooks are relatively inexpensive and tend to be similarly priced. The implication is that the marginal cost of choosing a more effective textbook over a less effective alternative is essentially zero. In terms of achievement impacts, our findings suggest non-trivial gains in student achievement are attainable simply by choosing more effective curriculum materials. The effect sizes we document are on par with what one could expect from a hypothetical policy that substantially increases the quality of the teaching workforce. But whereas there is much uncertainty about whether commensurate increases in teacher quality are attainable, and how they might be attained—at least in the near term—choosing a more effective textbook is a seemingly straightforward policy option for raising student achievement.

A critical factor limiting the capacity of school administrators to choose more effective textbooks is that there is virtually no evidence on how different textbooks affect student achievement. The fundamental problem limiting the development of an evidence base is that very few states track school and district textbook adoptions. This point bears repeating: most states do not know which curriculum materials are being used in which schools and districts. Without these data, it is not possible to perform evaluations of textbook efficacy. Thus, in most states, decisionmakers who wish to incorporate into their adoption decisions evidence on how textbooks affect student achievement are simply out of luck.

…..

Our work makes several important contributions. First, we have assembled a dataset of textbook adoptions in California, the largest U.S. state with the greatest number of schools. We have received funding to continue collecting these data moving forward. We will continue to analyze the data and go on to study other subjects and other grades. We also plan to make the data available to interested researchers so that others can pursue new lines of inquiry. There are many questions in this area of great import that do not have to do with impacts on student achievement—
for instance, is there equitable access to current curriculum materials? How do charter and traditional public schools differ in their adoption patterns? We hope these newly available data can spawn a new wave of data-driven research on textbook adoptions and their effects. The current research literature is sorely lacking in quantitative analyses of textbooks in schools.

Second, our work again demonstrates a method (previously demonstrated by Bhatt, Koedel, and Lehmannxiv) that can be applied in other states, grades, and subjects. We believe at this point that the method is suf ciently well developed that it can be widely applied. By doing this—studying textbook effects across multiple settings—we can begin to develop a better understanding of what is working, where, and for whom. In addition to California, we have collected data on textbook adoptions in Texas, Illinois, New York, and Florida. Whether the data we have are suf ciently complete to allow this kind of investigation in each setting is unclear, but we will try.

PDF Report link.

Related: Math Forum audio/video

21% OF UNIVERSITY OF WISCONSIN SYSTEM FRESHMAN REQUIRE REMEDIAL MATH

Madison’s 2009 (!) Math Task Force

DEJA VU: REPORT OF THE 1965 MADISON SCHOOL DISTRICT MATH 9 TEXTBOOK COMMITTEE.

Madison School District Middle School Math Specialist Program

Madison School District Administration (PDF):

Project Description: MMSD has provided funding to support coursework in the content and teaching knowledge of middle school teachers of math. Toward that goal, a partnership was formed back in 2010 between the District, the UW-Madison School of Education, the UW- Madison Department of Mathematics, and the University of Wisconsin Extension – Office of Education Outreach and Partnerships. MMSD will continue this for the 2016-17 school year and continue to offer math coursework for teachers to participate. The courses consists of a five course sequence (Number, Ratio, Geometry, Algebra, and Experimentation, Conjecture & Reasoning) with two courses being offered each semester. MMSD will continue to provide some financial support for teachers in each class with priority determined by; 1) middle school teacher working with an existing condition of employment, 2) middle school math teachers, and 3) teachers who began the program in previous years.

NOTE: There is a significant reduction in the estimate of this program from the 2015-2016 school year to the 2016-2017 school year. As a reminder, the change for this program and financial support moving forward was shared with the Board April 2016. The model continues the five course MSMS Program using non-credit courses for teachers currently enrolled in the program. This reduces the annual operating budget to $27,000. In addition, the full-time Math teacher leader’s responsibilities have been repositioned to provide support and professional development for middle school math teachers and for algebra teachers.

Talent management has been working with principals to select best candidates for current and future hiring. Middle school math teachers are now provided with standards aligned curricular resources and job embedded coaching.

Madison School District Administration (PDF):

The University of Wisconsin System is exempt from complying with the requirements of the District’s Contract Compliance Plan.

The Economist’s Washington correspondent wonders why his offspring are being taught swimming so well and maths so badly

James Astill:

Yet my children’s experience of school in America is in some ways as indifferent as their swimming classes are good, for the country’s elementary schools seem strangely averse to teaching children much stuff. According to the OECD’s latest international education rankings, American children are rated average at reading, below average at science, and poor at maths, at which they rank 27th out of 34 developed countries. At 15, children in Massachusetts, where education standards are higher than in most states, are so far behind their counterparts in Shanghai at maths that it would take them more than two years of regular education to catch up.

This is not for lack of investment. America spends more on educating its children than all but a handful of rich countries. Nor is it due to high levels of inequality: the proportion of American children coming from under-privileged backgrounds is about par for the OECD. A better reason, in my snapshot experience of American schooling, is a frustrating lack of intellectual ambition for children to match the sporting ambition that is so excellently drummed into them in our local swimming pool and elsewhere.

My children’s elementary school, I should say, is one of America’s better ones, and in many ways terrific. It is orderly, friendly, well-provisioned and packed with the sparky offspring of high-achieving Washington, DC, commuters. Its teachers are diligent, approachable and exude the same relentless positivity as the swimming instructors. We feel fortunate to have them. Yet the contrast with the decent London state school from which we moved our eldest children is, in some ways, dispiriting.

After two years of school in England, our six-year-old was so far ahead of his American peers that he had to be bumped up a year, where he was also ahead. This was partly because American children start regular school at five, a year later than most British children; but it was also for more substantive reasons.

Reading requires attention as well. (MTEL)

Locally, Madison has long tolerated disastrous reading results despite spending more than most, now around $18k per student.

And, National Council on teacher quality links are worth a look.

Culture, Gender, and Math

Luigi Guiso, Ferdinando Monte, Paola Sapienza, Luigi Zingales:

results, we classified countries according to several measures of gender equality. (i) The World Economic Forum’s Gender Gap Index (GGI) (10) reflects economic and political
The existence (1), degree (2), and origin (3, 4) of a gender gap (difference between girls’ and boys’ scores) in mathematics are highly debated. Biologically based explanations for the gap rely on evi- dence that men perform better in spatial tests, whereas women do better in verbal recall ones (1, 5, 6). However, the perform- ance differences are small, and their link with math test per- formance is tenuous (7). By contrast, social conditioning and gender-biased environ- ments can have very large ef- fects on test performance (8).
To assess the relative
importance of biological and
cultural explanations, we
studied gender differences
in test performance across
countries (9). Cultural inequal-
ities range widely across
countries (10), whereas re-
sults from cognitive tests do
not (6). We used data from
the 2003 Programme for
International Student Assess-
ment (PISA) that reports on
276,165 15-year-old students
from 40 countries who took
identical tests in mathematics
and reading (11, 12). The
tests were designed by the Organisation for Economic Co-operation and Develop-
ment (OECD) to be free of
cultural biases. They are sufficiently chal- lenging that only 0.6% of the U.S. students tested perform at the 99th percentile of the world distribution.

by country (see chart, above): in Turkey, –22.6, whereas, in Iceland, 14.5. A similar variation exists in the proportion of girls over boys who score above 95%, or 99% of the country-level distribution (fig. S2A).
opportunities,
Math and reading gender gaps. In more gender-equal cultures, the math gender gap dis- appears and the reading gender gap becomes larger. (Top) Gender gaps in mathematics (yellow) and reading (gray) are calculated as the difference between the average girls’ score and the average boys’ score. A subset of countries is shown here (see SOM for complete data set and calculations). In many countries, on average, girls perform more poorly than boys in mathematics. In all countries, girls perform better than boys in reading. The gender gap in mathematics and reading correlates with country measures of gender status within the cul- ture, one of which measures is the GGI (bottom). Larger values of GGI point to a better aver- age position of women in society. Besides USA, the countries are abbreviated as their first three letters, except for PRT, Portugal, and ISL, Iceland.
The gender gap is reversed in reading. On average, girls have reading scores that are 32.7 higher than those of boys (6.6% higher than the mean average score for boys), in Turkey, 25.1 higher and in Iceland, 61.0 higher (see chart). The effect is even stronger in the right tail of the distribution. In spite of the difference in levels, the gender gap in reading exhibits a variation across countries similar to the gender gap in math. Where girls enjoy the strongest advantage in reading with respect to boys, they exhibit the smallest disadvantage (sometime even an advantage) in math. [The correlation between the average gender gaps in mathematics and reading across countries is 0.59 (fig. S4)].
0.81), our statistical model suggests that the mean score performance in mathematics of girls relative to boys would increase by 23 points, which would eliminate the Turkish gender gap in math (see table, p. 1165). In more gender-equal countries, such as Norway and Sweden, the math gender gap disappears. Similar results are obtained when we use the other indicators of women’s roles in society. These results are true not only at the mean level, but also in the tail of the distribution (table S3). In Iceland, the ratio of girls to boys who score above the 99th percentile of the country distribution in math scores is 1.17.
70 60 50 40 30 20 10
0 -10 -20 -30
0.8 0.75 0.7 0.65 0.6 0.55 0.5
TUR
Gender gap, math Gender gap, reading
KOR ITA USA PRT
Women’s emancipation (GGI)
FRA POL
NOR SWE ISL
GGI index Test score differences between girls and boys

Meet the New Math, Unlike the Old Math

Kevin Hartnett

“Overall, there’s a movement towards more complex cognitive mathematics, there’s a movement towards the student being invited to act like a mathematician instead of passively taking in math and science,” said David Baker, a professor of sociology and education at Pennsylvania State University. “These are big trends and they’re quite revolutionary.”

Pedagogical revolutions are chancy endeavors, however. The Common Core math standards were released in 2010 and NGSS in 2013. Now, years on, even enthusiastic early adopters of the Common Core like the state of New York are retreating from the standards. While the ultimate impact of both the Common Core and NGSS is still uncertain, it’s clear these standards go beyond simply swapping one set of textbooks for another — to really take hold, they’ll require a fundamental rethinking of everything from assessments to classroom materials to the basic relationship between teachers and students.

Related: Connected Math and math forum.

Meet the New Math, Unlike the Old Math

Kevin Hartnett:

If we could snap our fingers and change the way math and science are taught in U.S. schools, most of us would. The shortcomings of the current approach are clear. Subjects that are vibrant in the minds of experts become lifeless by the time they’re handed down to students. It’s not uncommon to hear kids in Algebra 2 ask, “When are we ever going to use this?” and for the teacher to reply, “Math teaches you how to think,” which is true — if only it were taught that way.

To say that this is now changing is to invite an eye roll. For a number of entrenched reasons, from the way teachers are trained to the difficulty of agreeing on what counts in each discipline, instruction in science and math is remarkably resistant to change.

That said, we’re riding the next big wave in K-12 science and math education in the United States. The main events are a pair of highly visible but often misunderstood documents — the Common Core math standards and the Next Generation Science Standards (NGSS) — that, if implemented successfully, will boldly remake the way math and science are taught. Both efforts seek to recast instruction in the fundamental ideas and perspectives that animate the two fields.

“What we did in reorganizing the content of school mathematics was long overdue,” said Phil Daro, one of three lead authors of the Common Core math standards.

The changes go beyond the contentious new methods of teaching arithmetic that have grabbed headlines and threatened to blunt the momentum of Common Core math. Both documents developed out of decades of academic research on how children learn, and they reflect similar priorities. They exhibit an elegant rethinking of the basic structure of knowledge, along with new assertions of what’s important for students to be able to do by the time they finish high school.

Related: Connected Math; Math Forum audio and video.

A bot crawled thousands of studies looking for simple math errors. The results are concerning.

Brian Resnick:

But Michèle Nuijten, a PhD student at Tilburg University in the Netherlands who co-created Statcheck, has her sights on fixing a much smaller but surprisingly impactful problem in science: rounding errors.

“When starting this project, I wouldn’t say [this was a big problem],” Nuijten tells me. “We’re detecting when people are making rounding errors, who cares?”

But she and some colleagues in the Netherlands were curious enough to check. They built a computer program that could quickly scan published psychological papers and check the math on the statistics. They called their program “Statcheck” and ran it on 30,717 papers.

Related: Math Forum.

Great Mathematicians on Math Competitions and “Genius”

Less Wrong:

mentioned in Fields Medalists on School Mathematics, school mathematics usually gives a heavily distorted picture of mathematical practice. It’s common for bright young people to participate in math competitions, an activity which is closer to that of mathematical practice. Unfortunately, while math competitions may be more representative of mathematical practice than school mathematics, math competitions are themselves greatly misleading. Furthermore, they’ve become tied to a misleading mythological conception of “genius.” I’ve collected relevant quotations below.

Acknowledgment – I obtained some of these quotations from a collection of mathematician quotations compiled by my colleague Laurens Gunnarsen.

Related: Math Forum.

U.S. Wins First Place at International Mathematics Competition in Hong Kong

Mathematical Association of America:

“We are very excited to bring home another first-place IMO award, which serves as a recognition for the the high standard of mathematical creativity and problem-solving capabilities we have in our country,”said Po-Shen Loh, lead coach for the U.S. team and associate professor of mathematics at Carnegie Mellon University.

“We are very excited to bring home another first-place IMO award, which serves as a recognition for the the high standard of mathematical creativity and problem-solving capabilities we have in our country,”said Po-Shen Loh, lead coach for the U.S. team and associate professor of mathematics at Carnegie Mellon University.

The six U.S. team members were selected through a series of competitions organized by the Mathematical Association of America (MAA), culminating with the USA Mathematical Olympiad. The six team members joined 70 of their peers at Carnegie Mellon University in June to immerse themselves in problem solving for three weeks at MAA’s Mathematical Olympiad Summer Program.

“We have been running the U.S. Olympiad training program with a focus on the long-term development of our country’s talent, and it’s great to see that reflected in the continued team success a second year in a row,” said MAA Executive Director Michael Pearson.

Members of the winning 2016 U.S. team were Ankan Bhattacharya, Michael Kural, Allen Liu, Junyao Peng, Ashwin Sah, and Yuan Yao, all of whom were awarded gold medals for their individual scores. Team members Liu and Yao each earned perfect test scores. The team was accompanied by Loh and deputy coach Razvan Gelca, professor of mathematics and statistics at Texas Tech University.

Related: Math Forum.

Wayne State drops math as general ed requirement

David Jesse:

Wayne State University has subtracted mathematics from the list of classes all students must take to graduate.

Up until now, students had to take one of three different math classes before they could earn their degree.

Now, depending on their major, students may be able to squeak through college without taking math. The university is leaving it up to the individual departments to decide whether math will be a required part of a degree’s curriculum.

That means the nursing program will be responsible for setting one level of math students must pass in order to graduate, while the journalism department could set a completely different standard.

“We felt the math requirement was better left to the various programs and majors to decide and to decide what levels of mathematics would be needed,” Monica Brockmeyer, associate provost for student success, told the Free Press.. “We still continue to support mathematics at Wayne State.”

Indeed, in a note sent out late last month to students announcing the change, the university said it “strongly encouraged” students to take mathematics as an elective. The note said two of the foundation classes are still important to take for students looking to go into STEM fields and that the Mathematics in Today’s World class “does an excellent job in introducing students to many important applications of mathematics.”

Related: Math Forum.

Commentary On K – 12 Math Preparation

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 time, facing a financial meltdown and several lawsuits over alleged fraud in its recruitment process, had recently started shutting down or selling off its campuses. The students, calling themselves the Corinthian Fifteen, had organized a “debt strike,” refusing to repay their student loans even at the risk of going into default. Their argument was that the Department of Education shouldn’t collect on loans that students were misled into incurring, especially since they earned a degree that was all but worthless or, in some cases, found that their college had shut down before they could graduate.

Related: connected math and the math forum audio/video.

U.S. high school seniors slip in math and show no improvement in reading

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 in U.S. public and private schools: Scores on the 2015 reading test have dropped five points since 1992, the earliest year with comparable scores, and are unchanged in math during the past decade.

“These numbers are not going the way we want,” said William J. Bushaw, executive director of the National Assessment Governing Board, an independent panel established by Congress to oversee NAEP policy. “We have to redouble our efforts to prepare our students.”

The sobering news, released Wednesday, comes at the same time the nation is celebrating its highest-ever graduation rate, raising questions about whether a diploma is a meaningful measure of achievement.

Eighty-two percent of high school seniors graduated on time in 2014, but the 2015 test results suggest that just 37 percent of seniors are academically prepared for college coursework in math and reading — meaning many seniors would have to take remedial classes if going on to college.

Related: Math Forum audio/video links.

Explaining Your Math: Unnecessary at Best, Encumbering at Worst

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 textbook, thus exhibiting mere “rote learning” rather than “true understanding” of a problem-solving procedure?

“Math learning is a progression from concrete to abstract. The advantage to the abstract is that the various mathematical operations can be performed without the cumbersome attachments of concrete entities—entities like dollars, percentages, groupings of pencils. Once a particular word problem has been translated into a mathematical representation, the entirety of its mathematically relevant content is condensed onto abstract symbols, freeing working memory and unleashing the power of pure mathematics. That is, information and procedures that have been become automatic frees up working memory. With working memory less burdened, the student can focus on solving the problem at hand. Thus, requiring explanations beyond the mathematics itself distracts and diverts students away from the convenience and power of abstraction. Mandatory demonstrations of “mathematical understanding,” in other words, can impede the “doing” of actual mathematics.”

Related: Math Forum: audio/video.

Naming Coordinates, Feedback and Revision – Math Mistakes

Math Mistakes:

I notice that the kid didn’t write them as (x,y) but wrote them as x,y. I wonder how come he did that? Or, more precisely, I wonder if he doesn’t see much of a difference between (x,y) and x,y or if three is some other reason for leaving off the parentheses.

Madison School Board Accountabilty Commentary.

The Man Behind Modern Math

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 that he had a proof for it, but he never wrote it down.

Most people think Fermat was mistaken, for the proof became a sort of holy grail of mathematicians. And it wasn’t until 1995 that the British professor Andrew Wiles published a proof of Fermat’s conjecture, using many 20th century techniques that were unavailable to Fermat. The proof runs 109 pages, and—trust me on this—if you don’t have a Ph.D. in math, you won’t understand a word of it.

Will Our Understanding of Math Deteriorate Over Time?

Lance Fortnow:

Scientific American writes about rescuing the enormous theorem (classification of finite simple groups) before the proof vanishes. How can a proof vanish?

In mathematics and theoretical computer science, we read research papers primarily to find research questions to work on, or find techniques we can use to prove new theorems. What happens to a research area then when researchers go elsewhere?

In a response to a question about how can one contribute to mathematics, Bill Thurston notes that our knowledge of mathematics can deteriorate over time.

Related: Math Forum and “connected math“.

Lifelong Math Tax: Rental America: Why the poor pay $4,150 for a $1,500 sofa

Chico Harlan:

At Buddy’s, a used 32-gigabyte, early model iPad costs $1,439.28, paid over 72 weeks. An Acer laptop: $1,943.28, in 72 weekly installments. A Maytag washer and dryer: $1,999 over 100 weeks.

Abbott wanted a love seat-sofa combo, and she knew it might rip her budget. But this, she figured, was the cost of being out of options. “You don’t get something like that just to put more burden on yourself,” Abbott said.

Five years into a national economic recovery that has further strained the poor working class, an entire industry has grown around handing them a lifeline to the material rewards of middle-class life. Retailers in the post-Great Recession years have become even more likely to work with customers who don’t have the money upfront, instead offering a widening spectrum of payment plans that ultimately cost far more and add to the burdens of life on the economy’s fringes.

Related Math Forum and Connected Math.

On B-School Test, Americans Fail to Measure Up; “Improve K-12 Math”

Lindsay Gellman:

New waves of Indians and Chinese are taking America’s business-school entrance exam, and that’s causing a big problem for America’s prospective M.B.A.s.

Why? The foreign students are much better at the test.

Asia-Pacific students have shown a mastery of the quantitative portion of the four-part Graduate Management Admission Test. That has skewed mean test scores upward, and vexed U.S. students, whose results are looking increasingly poor in comparison. In response, admissions officers at U.S. schools are seeking new ways of measurement, to make U.S. students look better.

Domestic candidates are “banging their heads against the wall,” said Jeremy Shinewald, founder and president of mbaMission, a New York-based M.B.A. admissions-consulting company. While U.S. scores have remained consistent over the past several years, the falling percentiles are “causing a ton of student anxiety,” he said.

we continue to play in the “C” (D?) leagues.

Madison’s disastrous reading scores.

Math forum audio and video. Math task force.

Parents feel ‘unequipped’ to help children with maths

Josie Gurney-Read:

“It’s not a subject, maths, it’s a language. A language, without which, we cannot communicate. The teaching of arithmetic and algebra, for example, is like teaching the grammar of this language.”

It will perhaps be unsurprising to most that Carol Vorderman, who spent 26 years as co-host on the Channel 4 quiz show Countdown, should be working towards giving schoolchildren the resources and opportunity to achieve highly in maths at primary school.

Having created The Maths Factor – an online maths school for primary age children – four years ago, Vorderman will attend the first ‘graduation day’ today, for children who have made exceptional progress through the program.

Related: Math Forum.

A Math Teacher on Common Core

Brooke Powers:

Before Common Core I was a typical math teacher. I had my curriculum maps and and state standards which read like a skill and drill check list that I marked off one by one whether the kids understood them or not. I used really “great” methods and math terminology like “butterfly method”, “keep switch flip”, “leave opposite opposite”, and so many more that I would love to forget. I moved to Kentucky the year that KCAS (Kentucky’s Common Core) was adopted and thought “how different could it be?” The answer to that question can be answered easily with a quick peak inside my classroom today.

Today, my classroom is cognitively busy and alive with excitement about numbers. We no longer focus on skills, timed tests, facts, or catchy phrases to make students remember things that have no meaning to them. Today, we do math talks, counting circles, estimating, and reasoning instead of direct instruction. We take the time to understand numbers and their meanings rather than memorizing facts. I don’t drill random formulas and information into students heads so that they can remember it long enough to pass a test rather than understanding it to a depth that can be applied to real life.

I really do understand the reason so many parents seem to get upset about the “new math” associated with Common Core. After all, it is change and change is difficult but here is what I know. I have talked to tons of adults and not one has told me that they have to take skill and drill tests daily at work or risk being fired. When I ask what they have to do at work I get a lot of answers but there is always a common theme, in real life we are no longer asked to use math as a check list of skills that we either know or don’t know. Instead real life is about using the math to solve real problems, to be a critical thinker, to reason, and actually understand what is happening around them. Those are all the things along with many more that Common Core has brought to my classroom.

Much more on the Common Core, here.

Related: Math Forum Audio & Video.

On Remedial Math

Ron Schacter

Many of the graduates entering college from New York’s Hampton Bays High School in 2011 weren’t ready for higher education math.

At neighboring Suffolk County Community College, 68 percent of the first-year students from Hampton Bays had to take remedial math.

“These numbers were horrifying to us and created a real sense of urgency,” says Denise Sullivan, the assistant superintendent for curriculum at the Hampton Bays Schools.

Sullivan approached the college president to discuss the problem and forged an innovative partnership.

In an uncommon move, Sullivan and the chair of the mathematics department at the college created a high school course that mirrors the remedial class that students deficient in math have to take when they start college.

The college was “thrilled.” “Nobody else was taking this approach,” Sullivan says. The college had found that only 20 percent of the students who entered in need of developmental courses went on to graduate.

Math Forum Audio & Video (2008!).

Deja Vu on Madison Math: Algebra: The most-failed class for Madison freshmen

Molly Beck:

“When you look at the data, there’s something not working, clearly,” she said. “And if you know being on track in ninth grade is key to a student’s success then it’s our obligation to change that.”

She said the district will be strengthening the quality and consistency of algebra instruction across schools so that courses in each school approach the class the same. After the district’s review of high school curriculum is complete, the ninth-grade algebra requirement and graduation requirements could change.

Like Madison, districts across the state are looking at ways to improve rates at which students pass algebra and are also developing new curriculum that includes algebraic concepts as early as kindergarten, said Department of Public Instruction spokesman Tom McCarthy.

Signe Carney, who has taught math at Memorial High School for 18 years, said part of the reason for the algebra failure rate is that “people are OK with saying, ‘I’m bad at math,’ and they will never say they can’t read. People think they can or can’t, and if they think they can’t, they won’t succeed.”

Another factor is that algebraic concepts build on each other, so it’s hard to catch up if students miss days, she said.

What impact do high school mathematics curricula have on college-level mathematics placement? by James Wollack & Michael Fish @ UW Center for Placement Testing.

Connected Math.

Everyday Math

Teacher group: Math is ‘the domain of old, white men’

Danette Clark:

According to a Teach for America website, culturally responsive teaching in math is important because “math has traditionally been seen as the domain of old, White men.”

As reported earlier this week, Teach for America groups across the country are committing themselves to “culturally responsive teaching,” a radical pedagogy used by communist Bill Ayers and other blatant anti-American indoctrinators.

The site, Culturally Responsive Teaching, Teach for America, says that because math is seen as a domain for old, white men, many students cannot identify with it. Therefore, educators should find ways to relate math to the lives of their students.

Math Task Force and When A Stands for Average.

Math wars: Rote memorization plays crucial role in teaching students how to solve complex calculations, study says

Joseph Brean:

In a finding sure to inflame the math wars, a team of neuroscientists has revealed the crucial role played by rote memorization in the growing brains of young math students.

Memorizing the answers to simple math problems, such as basic addition or the multiplication tables, marks a key shift in a child’s cognitive development, because it helps bridge the gap from counting on fingers to complex calculation, according to the new brain scanning research.

The progression from counting on fingers to simply remembering that, for example, six plus three equals nine, parallels physical changes in a child’s brain, in which the hippocampus, a key brain structure for memory, gradually takes over from the pre-frontal parietal cortex, an area of higher order reasoning.

Related: Math Forum.

21% of University of Wisconsin System Freshman Require Remedial Math

Karen Herzog:

Regent Margaret Farrow said K-12 must be a strong partner in preparing high school students for college. “We’re not, quite frankly, creating this situation we’re trying to solve.”

Starting next year, all 11th graders in Wisconsin pubic schools will be required to take the ACT college-readiness exam that universities use in their admissions process, Farrow noted. She said she’s concerned about what those test results will show.

“I think we’re doing all we can, but we need help because these are our kids,” Farrow said. “If they aren’t making it, this state and this country aren’t making it. … This is an emergency. This is a tragedy happening.”

The UW’s freshman math remediation rate of 21% is below the national average of 25% to 35%, according to Cross.

UW Regent Jose Vasquez bristled at the UW System taking on “a problem that is really our cohort’s problem,” referring to K-12. “The problem was not created by the university and I’m not convinced we can solve it within the university.”

He advocated earlier intervention in high school.

However, “it’s in all of our best interest to work together on this,” Cross said.

Related: Math Forum.

Madison’s math review task force. Have the results of the task force made a difference?

America’s Math Crisis

Dick Resch

Americans could use a crash course in math.
According to a new study from the Brookings Institution, jobs in science, technology, engineering and math are vacant for more than twice as long as other positions — largely because employers can’t find people with the math and science skills to fill them.

In fact, high school graduates with science, technology, engineering and math (STEM) skills are in greater demand than college grads without them.

American Teens Achieve Mediocrity In Financial Literacy, Local math & reading background

Michelle Hackman:

When it comes to financial literacy around the world, American teens are middling.

The United States may fuel the world’s largest economy and operate its most robust financial system. But compared to the financial prowess of teenagers in 17 other countries, U.S. teens come off downright mediocre.

That’s according to a new study published Wednesday by the Organization for Economic Cooperation and Development as part of its Program for International Student Assessment, conducted once every three years.

The OECD, a 34-nation organization based in Paris, surveyed 15-year-old students in 13 member nations and five other nations throughout 2012 to ascertain their level of familiarity with the financial system as they neared adulthood.

“Finance is part of everyday life for many 15-year-olds, who are already consumers of financial services, such as bank accounts,” the report said. “As they near the end of compulsory education, students will face complex and challenging financial choices, including whether to join the labor market or continue with formal education and, if so, how to finance such study.”

Unfortunately, this is unsurprising. Read two useful articles on local math difficulties and long term disastrous reading results.

The OECD report.

On College Debt & lack of K-12 Math Teaching

Heidi Moore:

And the contract terms on private college loans are rigid to the point of cruelty. Borrowers have almost no say and little ability to renegotiate the terms if financial trouble occurs – an inevitability. Many private lenders don’t allow students to pay down the principal of a loan, which means endless payments just to cover the high interest, without ever chipping away at the real amount. Payment options like forbearance are temporary and restricted; prepayment or consolidation are largely forbidden. The most dangerous part for such a significant debt is that there is no escape, no way to ease the burden.

Private or publicly guaranteed student loans are a sideshow. Our K-12 schools should be teaching basic math, skills that students can use to understand the implications of their choices.

Dumping Everyday Math? The Future of Seattle Elementary Math Education Will Be Decided on Wednesday

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 using a grossly inferior math curriculum, Everyday Math. Most school districts in the area (and around the country) have dropped it because it fails to provide basic competency in elementary-level mathematics, crippling students’ ability to learn algebra and higher mathematics later in their career. Everyday Math is a prime example of “fuzzy math,” with students spending much their their time inventing their own algorithms, writing long essays, using calculators, and doing group projects. Everyday Math is a wonderful example of the tendency to jump on the latest fad, which may sound good, but fails in the classroom.

So you would think the district would be doubly sure not to make a serious mistake again.

Last month, a committee established by the district provided their recommendation of a possible new curriculum. Their rankings were:

1. EnVision Math
2. Go Math!
3. Math in Focus (MIF), which is a U.S. version of Singapore Math.

As I explained in my last blog of the subject, their evaluation was a great disappointment. Math in Focus, based on the extraordinarily successful Singapore Math approach, was downgraded because it advanced student’s too rapidly (compared to the latest fad, the Common Core standards). Go Math! is glossy and weak. EnVision, their top choice, is glossy and full of excessive reading and writing, making it a poor choice for students who do not have strong English skills. But better than Everyday Math for sure.

Much more on Everyday Math, here.

Related: Math Forum audio/video.

Locally, Madison has also used Everyday Math.

2+2=What? Parents rail against Common Core math

Michael Rubinkam:

What could be so horrible? Grade-school math.

As schools around the U.S. implement national Common Core learning standards, parents trying to help their kids with math homework say that adding, subtracting, multiplying and dividing has become as complicated as calculus.

They’re stumped by unfamiliar terms like “rectangular array” and “area model.” They wrestle with division that requires the use of squares, slashes and dots. They rage over impenetrable word problems.

Donna St. George, via a kind reader’s email:

Solve math problems with logic

Manila Standard Today:

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.

The Surprising Impact of High School Math on Job Market Outcomes

Jon James:

The economic returns to education are well documented. It is also well-known that college graduates with certain majors will earn more than others and find it easier to land a job. But surprisingly, the courses students take in high school also make a difference, when the courses are mathematics. Even among workers with the same level of education, those with more math have higher wages on average and are less likely to be unemployed. These findings suggest that even students ending their formal education after high school can increase their future earnings by investing in more math courses while in high school.

High school graduates earn more money in general than high school dropouts. This well-known fact is a powerful incentive to finish high school. But is it just the diploma that counts, or do the particular courses students take while in high school matter for their future job prospects? Students can opt for a variety of courses, from vocational tracks to advanced placement classes for college credit, during their final four years of required education.
Most high school graduates choose a curriculum that is far more rigorous than the minimum requirements. This is most evident in mathematics courses. For example, in 2009, 75 percent of high school graduates completed math coursework at the level of Algebra II or above. Most of these students could have stopped at Algebra I and satisfied the minimum high school requirements. Only six states required Algebra II for graduation as of 2006. About 11 required Algebra I, six required geometry, and the remaining 27 required only that students complete a minimum of three years of mathematics at any level.
The fact that so many students take a rigorous math curriculum is not surprising given that a minimum of Algebra II is necessary for adequate college preparation. But an analysis of detailed high school transcript data and employment outcomes suggests that a more rigorous high school math curriculum benefits even those who do not go to college. While math may be difficult for many, our findings indicate that the payoffs for all students may be substantial.

Unsurprising, particularly when one encounters young people unable to comprehend cell phone costs, student loan terms or simply make change.
Related: Math Forum audio / video and Connected Math.

Voevodsky’s Mathematical Revolution

Julie Rehmeyer:

On last Thursday at the Heidelberg Laureate Forum, Vladimir Voevodsky gave perhaps the most revolutionary scientific talk I’ve ever heard. I doubt if it generated much buzz among the young scientists in advance, though, because it had the inscrutable title “Univalent Foundations of Mathematics,” and the abstract contained sentences like this one: “Set-theoretic approach to foundations of mathematics work well until one starts to think about categories since categories cannot be properly considered as sets with structures due to the required invariance of categorical constructions with respect to equivalences rather than isomorphisms of categories.”
Eyes glazed over yet?

Grades are in: June’s final exams in math show more failure in Montgomery County Schools

For another semester, Montgomery County high school students flunked their final exams in math courses in startlingly high numbers, according to new figures that show failure rates of 71 percent for Geometry and 68 percent for Algebra 1.
The numbers add to a phenomenon that goes back more than five years and came to widespread public attention this spring, setting off a wave of concern among parents as well as elected officials in the high-performing school system.
Latest math-exam figures show high failure rates persist in the high-performing school system.
The new figures, for exams given in June, show that failure rates worsened in Algebra 1 and Geometry; improved in Precalculus and Bridge to Algebra 2; and stayed fairly even in Algebra 2, Honors Precalculus, Honors Algebra 2 and Honors Geometry.
Overall, 45 percent of high school students in eight math courses failed their June finals — about 14,000 students out of roughly 31,000 enrolled.
Exactly what explains steep failure rates for exam-takers has been an issue of debate in recent months.
In a memo to the school board, School Superintendent Joshua P. Starr released a preliminary figure on test-skipping: As many as 500 students were no-shows for the Algebra 1 exam in June, accounting for one-sixth of the 2,912 students who failed the test.
Starr said student motivation was one of a half-dozen issues under study as a newly created math work group seeks to understand the failure problem and suggest ways to turn it around. Other possible causes cited include alignment between the curriculum and the exam, school system practices and policies, and the “cognitive demands” of the exam.

Related: Math Forum audio & video along with a number of connected matharticles.
2004 (!) Madison West High School math teacher letter to Isthmus on dumbing down the curriculum.

Failing Math Curriculum in Seattle Public Schools

Cliff Mass:

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:

Study: Schools And Colleges Are Teaching The Wrong Type Of Math

John O’Connor:

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.

Republicans Should Love ‘Common Core’ National standards can revive the way we teach math and science.

Edward Frenkel & Hung-Hsi Wu:

The Common Core State Standards are a set of rigorous academic standards in mathematics and English language arts. They are the culmination of a meticulous, 20-year process initiated by the states and involving teachers, educators, business leaders and policy makers from across the country and both sides of the aisle.
The standards form a foundation for a high-quality education, have been adopted by 45 states and the District of Columbia, and are slated for full implementation in 2014.
Unfortunately, the Republican National Committee recently adopted a resolution rejecting the Core Standards, calling them a “nationwide straitjacket on academic freedom and achievement.” This resolution and efforts under way to repeal the Core Standards in several states are misguided and have to be resisted.
Mathematical education in the U.S. is in deep crisis. The World Economic Forum ranks the quality of math and science education in the U.S. a dismal 48th. This is one of the reasons the 2010 report “Rising Above the Gathering Storm” by the National Academies warned that America’s ability to compete effectively with other nations is fading.

“Sadly, many teachers working with our children at the start of their mathematical journeys are not themselves comfortable with the mathematics they are trying to teach.”

Susan Schwartz Wildstrom:

I am moved to respond to Sol Garfunkel’s “Opinion” article.1 I am a long-time high school mathematics teacher in a public school. I started teaching around the time of SMSG and have been in the trenches throughout several of the math wars. I know Dr. Garfunkel’s fine work in creating interesting modeling projects and his outspoken opinion that using technology to solve problems that apply the mathematics we are teaching will better concretize students’ understanding of the underlying mathematics. It sounds like a fine idea, but the reality is often very different.
Our problems in teaching mathematics begin in elementary school. Sadly, many teachers working with our children at the start of their mathematical journeys are not themselves comfortable with the mathematics they are trying to teach. They often only know one way to teach an idea and they may not fully understand how that method works and why it gives the right answers. Such a teacher confronted with an alternate creative method (perhaps suggested by a clever child or a seasoned colleague) may reject the alternative rather than trying to see how and why two methods produce the same result. Beyond stifling the creativity of students and discouraging them from trying to see how the mathematics works, such an approach is not fertile ground for applications and modeling projects in which creative exploration and possibly unorthodox methods are encouraged as a means of truly understanding what is happening. Teachers who lack confidence in their own understanding of the ideas may not want to include these sorts of activities in their classrooms.