Search results

http://seattlemathgroup.blogspot.com/.

Discovery Math

Singapore Math

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.

Refusing to teach kids math will not improve equity

Noah Smith:

“The result of the educative process is capacity for further education.” — John Dewey

A couple of weeks ago, Armand Domalewski wrote a guest post for Noahpinion about how the new California Math Framework threatened to dumb down math education in the state — for example, by forbidding kids from taking algebra before high school:

Well, I’m going to write another post about this subject, because the direction in which math education is trending in America under “progressive” guidance just frustrates me so deeply.

A few days after Armand’s post, the new California Math Framework was adopted. Some of the worst provisions had been thankfully watered down, but the basic strategy of trying to delay the teaching of subjects like algebra remained. It’s a sign that the so-called “progressive” approach to math education championed by people like Stanford’s Jo Boaler has not yet engendered a critical mass of pushback.

And meanwhile, the idea that teaching kids less math will create “equity” has spread far beyond the Golden State. The city of Cambridge, Massachusetts recently removed algebra and all advanced math from its junior high schools, on similar “equity” grounds.

It is difficult to find words to describe how bad this idea is without descending into abject rudeness. The idea that offering children fewer educational resources through the public school system will help the poor kids catch up with rich ones, or help the Black kids catch up with the White and Asian ones, is unsupported by any available evidence of which I am aware. More fundamentally, though, it runs counter to the whole reason that public schools exist in the first place.

The idea behind universal public education is that all children — or almost all, making allowance for those with severe learning disabilities — are fundamentally educable. It is the idea that there is some set of subjects — reading, writing, basic mathematics, etc. — that essentially all children can learn, if sufficient resources are invested in teaching them.

Related: Madison’s various one size fits all schemes:

Connected Math

Discovery math:

Not, Singapore math, however.

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

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

Discovery math

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

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]

WEAC: $1.57 million for Four Wisconsin Senators

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

Colleges Learning Costly Woke Math in the Courtroom School of Hard Knocks

Steve Miller:

As they reel from revenue losses connected to the pandemic, many colleges and universities are racking up other costs not likely to turn up in their glossy brochures or as line items on staggering tuition bills: untold millions of dollars in legal fees and settlements for allegedly violating the rights of students, professors, and applicants on free speech, admissions and other matters as the schools pursue social justice causes.

Harvard University’s legal costs fighting a continuing 2017 challenge to its racial admissions practices have surpassed $25 million, the cap of its primary insurer, and it is now suing a secondary legal insurer, the Zurich American Insurance Company, over its refusal to pick up the tab going forward.

The University of North Carolina at Chapel Hill had spent more than $16.8 million by the end of 2018, and its costs have only grown as it, like Harvard, continues defending admissions policies allegedly favoring blacks and Hispanics over whites and Asians.

Challenges to alleged free-speech violations, which have plagued universities for decades, continue to grow with a heightened grievance culture.

The University of California San Diego in 2019 paid nearly $1 million after a four-year court fight over its move to defund student media because of a school newspaper piece satirizing “safe spaces.”

“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

Commentary on Virginia’s planned advanced math course reductions

Caroline Downey:

Democratic Virginia state Senator J. Chapman Petersen is one of many parents voicing concerns about a new racial equity push that would eliminate certain advanced placement classes in the state’s mathematics curriculum.

The Virginia Mathematics Pathway Initiative (VMPI) would replace the traditional mathematics progression of Algebra 1, Geometry, and Algebra 2 courses with courses that teach so-called “essential” topics. Under the plan, all students would take the same courses through the tenth grade but would then be allowed to enroll in classes that correspond with their post-graduation career plans.

A major goal of the VMPI is to combat disparities in educational outcomes between racial and ethnic minorities. However, many Northern Virginia parents are mobilizing to reject the program, claiming that the new “pathway” will inhibit higher-achieving students and discourage academic exploration and performance among all kids, including the racial minorities the program is designed to help.

Related: Connected Math Discovery Math

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

1965 Madison School District Math 9 Textbook Committee

Why are Soviet mathematics/physics textbooks so insanely hardcore in comparison to US textbooks?

Scott Miller:

There are a lot of good points being made in this thread. I have had a theory that it is in part related to the funding available for lab equipment and computers. During the latter half of the 20th century, in Russia you were very lucky to get access to a “real” computer.

I spent some time in 1992 in Protvino, RU, a science city of (at the time) some 20,000 scientists and engineers. The city hadn’t been listed on any official map from the USSR, even though it had existed since 1958; it was devoted to a large synchrotron. I was really struck by the contrast between the super-abundance of material resources to get the job done in the US and EU, vs. the creativity and thought by the Russians. At the risk of oversimplifying, I noticed that because of the traditional scarcity of equipment, Russian students and scientists had to think rather than experiment, whether with computers or accelerators; it was often all that was available to them.

For instance, there was much more of an effort in Protvino to repurpose equipment than to have new equipment machined as I had seen at FermiLab or CERN. The rank and file Russian engineers that I saw in the ’90s were using a home-grown knockoff of the Intel 8088 series. The managers got imported IBM XTs. At the same time in the US working on the SSC, on my desk I had a SuperSPARC minicomputer, a Mac, and an HP 80486 Windows machine, as well as access to a twin Hypercube.

As a result, “computer experiments” like Monte Carlo simulation were not used very often in Protvino except by those for whom it was essential (and often not even then – such experiments were usually pushed down so far in the queue that they never got executed). Rather, there was much more emphasis on closed-form or approximate analytical solutions. Coding up a simulation and having a computer torture it until it confessed the results you wanted certainly takes talent, but it is arguably a different kind of talent than thinking deeply about the problem itself. Thinking about the simulation often leads to thinking that improves the computing methods and hardware used. Thinking about the problem itself gives insight into the nature of the problem itself and its connections with other areas of study.

Related: Connected Mathd Singapore Math

Madison’s most recent Math Task Force

Remedial Math at the UW-Madison.

K-12 Tax & Spending Climate: The Seven-Year Auto Loan: America’s Middle Class Can’t Afford Its Cars [Math Education…]

Ben Eisen & Adrienne Roberts:

Mr. Jones, now 22 years old, walked out with a gray Accord sedan with heated leather seats. He also took home a 72-month car loan that cost him and his then-girlfriend more than $500 a month. When they split last year and the monthly payment fell solely to him, it suddenly took up more than a quarter of his take-home pay.

He paid $27,000 for the car, less than the sticker price, but took out a $36,000 loan with an interest rate of 1.9% to cover the purchase price and unpaid debt on two vehicles he bought as a teenager. It was particularly burdensome when combined with his other debt, including credit cards, he said.

Just 18% of U.S. households had enough liquid assets to cover the cost of a new car, according to a Wall Street Journal analysis of 2016 data from the Fed’s triennial Survey of Consumer Finances, a proportion that hasn’t changed much in recent years.

Even a conservative car loan often won’t do it. The median-income U.S. household with a four-year loan, 20% down and a payment under 10% of gross income—a standard budget—could afford a car worth $18,390, excluding taxes, according to an analysis by personal-finance website Bankrate.com.

Related: Discovery, Connected and Singapore Math.

Madison’s math task force.

21% of University of Wisconsin System Freshman Require Remedial Math
.

The Math That Takes Newton into the Quantum World

John Baez:

In my 50s, too old to become a real expert, I have finally fallen in love with algebraic geometry. As the name suggests, this is the study of geometry using algebra. Around 1637, René Descartes laid the groundwork for this subject by taking a plane, mentally drawing a grid on it, as we now do with graph paper, and calling the coordinates x and y. We can write down an equation like x2+ y2 = 1, and there will be a curve consisting of points whose coordinates obey this equation. In this example, we get a circle!

It was a revolutionary idea at the time, because it let us systematically convert questions about geometry into questions about equations, which we can solve if we’re good enough at algebra. Some mathematicians spend their whole lives on this majestic subject. But I never really liked it much until recently—now that I’ve connected it to my interest in quantum physics.

What Are Classroom Practices That Support Equity-Based Mathematics Teaching?

nctm:

Current mathematics education research is used to frame equity-based teaching practices through three lenses useful for building one’s teaching: reflecting , noticing , and engaging in community .

Reflecting . Equity-based teaching requires a substantial amount of reflection, which involves not just reflecting on your pedagogy and your classroom norms, but also considering how you identify yourself and how others identify you (Crockett, 2008; Gutiérrez, 2013b; Walshaw, 2010).

Noticing . Noticing generally refers to paying attention to students’ mathematical thinking (Jacobs, Lamb, & Philipp, 2010), yet it is a crucial skill for equity-based teaching; noticing helps teachers pay attention to how students position and identify themselves and each other (Wager, 2014).

Engaging in Community . Community engagement is powerful, in all aspects of teaching. While there are many ways to engage in your multiple communities, we highlight two specific communities here: your classroom and your teaching community.

Commentary.

(2009) What impact do high school mathematics curricula have on college-level mathematics placement? James Wollack
and Michael Fish:

Major Findings

CORE-Plus students performed significantly less well on math placement test and ACT-M than did traditional students

Change in performance was observed immediately after switch

Score trends throughout CORE-Plus years actually decreased slightly

Inconsistent with a teacher learning-curve hypothesis

CORE-AP students fared much better, but not as well as the traditional-AP students
Both sample sizes were low

2014: 21% of University of Wisconsin System Freshman Require Remedial Math

International Math Competition Defeat Prompts Soul Searching in China

Charlotte Yang:

Chinese high school students generally outperform their western peers at math — at least, that’s what many in the country believe.

That assumption was shattered Monday, when China placed a mediocre sixth at the 2019 Romanian Master of Mathematics (RMM), a major math competition for pre-university students. The U.S. won the championship for best team, while the highest individual prize went to an Israeli candidate.

Math competitions like the RMM are serious business in China, where participation can give students a leg up in university admissions.

China’s defeat on Monday prompted social media users to ask if recent Ministry of Education curbs on math competitions were misguided.

Since the ministry requested that universities limit preferential admissions for math competition participants, interest in the subject has fallen, one Weibo user said, in a comment that received 2,200 likes.“Chinese parents still take a utilitarian approach toward education.”

Others said the government should avoid a one-size-fits-all approach and encourage participation from truly talented students.

Related: Connected math

Math from Three to Seven:

Math Task Force

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.

Decades-Old Graph Problem Yields to Amateur Mathematician

Evelyn Lamb:

In 1950 Edward Nelson, then a student at the University of Chicago, asked the kind of deceptively simple question that can give mathematicians fits for decades. Imagine, he said, a graph — a collection of points connected by lines. Ensure that all of the lines are exactly the same length, and that everything lies on the plane. Now color all the points, ensuring that no two connected points have the same color. Nelson asked: What is the smallest number of colors that you’d need to color any such graph, even one formed by linking an infinite number of vertices?

The problem, now known as the Hadwiger-Nelson problem or the problem of finding the chromatic number of the plane, has piqued the interest of many mathematicians, including the famously prolific Paul Erdős. Researchers quickly narrowed the possibilities down, finding that the infinite graph can be colored by no fewer than four and no more than seven colors. Other researchers went on to prove a few partial results in the decades that followed, but no one was able to change these bounds.

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):

What Is It Like To Understand Advanced Mathematics?

Ji Li:

You can answer many seemingly difficult questions quickly. But you are not very impressed by what can look like magic, because you know the trick. The trick is that your brain can quickly decide if a question is answerable by one of a few powerful general purpose “machines” (e.g., continuity arguments, the correspondences between geometric and algebraic objects, linear algebra, ways to reduce the infinite to the finite through various forms of compactness) combined with specific facts you have learned about your area. The number of fundamental ideas and techniques that people use to solve problems is, perhaps surprisingly, pretty small — see http://www.tricki.org/tricki/map for a partial list, maintained by Timothy Gowers.

You are often confident that something is true long before you have an airtight proof for it (this happens especially often in geometry). The main reason is that you have a large catalogue of connections between concepts, and you can quickly intuit that if X were to be false, that would create tensions with other things you know to be true, so you are inclined to believe X is probably true to maintain the harmony of the conceptual space. It’s not so much that you can imagine the situation perfectly, but you can quickly imagine many other things that are logically connected to it.

The math gift myth

Devlin:

My May post is more than a little late. The initial delay was caused by a mountain of other deadlines. When I did finally start to come up for air, there just did not seem to be any suitable math stories floating around to riff off, but I did not have enough time to dig around for one. That this has happened so rarely in the twenty years I have been writing Devlin’s Angle (and various other outlets going back to the early 1980s in the UK), that it speaks volumes against the claim you sometimes hear that nothing much happens in the world of mathematics. There is always stuff going on.

Be that as it may, when I woke up this morning and went online, two fascinating stories were waiting for me. What’s more, they are connected – at least, that’s how I saw them.

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.

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.

All The Mathematical Methods I Learned In My University Math Degree Became Obsolete In My Lifetime

Keith Devlin:

If you are connected with the world of K-12 mathematics education, it’s highly unlikely that a day will go by without you uttering, writing, hearing, or reading the term “number sense”. In contrast everyone else on the planet would be hard pressed to describe what it is. Though entering the term into Google will return close to 38 million hits, it has yet to enter the world’s collective consciousness. Stanford mathematician Keith Devlin explains what it is.

When I graduated with a bachelors degree in mathematics from one of the most prestigious university mathematics programs in the world (Kings College London) in 1968, I had acquired a set of skills that guaranteed full employment, wherever I chose to go, for the then-foreseeable future—a state of affairs that had been in existence ever since modern mathematics began some three thousand years earlier. By the turn of the new Millennium, however, just over thirty years later, those skills were essentially worthless, having been very effectively outsourced to machines that did it faster and more reliably, and were made widely available with the onset of first desktop- and then cloud-computing. In a single lifetime, I experienced first-hand a dramatic change in the nature of mathematics and how it played a role in society.

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.

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.

Some rather strange history of maths

The Renaissance Mathematicus:

Scientific American has a guest blog post with the title: Mathematicians Are Overselling the Idea That “Math Is Everywhere, which argues in its subtitle: The mathematics that is most important to society is the province of the exceptional few—and that’s always been true. Now I’m not really interested in the substantial argument of the article but the author, Michael J. Barany, opens his piece with some historical comments that I find to be substantially wrong; a situation made worse by the fact that the author is a historian of mathematics.

Barany’s third paragraph starts as follows:

In the first agricultural societies in the cradle of civilization, math connected the heavens and the earth. Priests used astronomical calculations to mark the seasons and interpret divine will, and their special command of mathematics gave them power and privilege in their societies.

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.

‘Outsiders’ Crack 50-Year-Old Math Problem

Erica Klarreich:

his Yale University colleague Gil Kalai about a computer science problem he was working on, concerning how to “sparsify” a network so that it has fewer connections between nodes but still preserves the essential features of the original network.

Network sparsification has applications in data compression and efficient computation, but Spielman’s particular problem suggested something different to Kalai. It seemed connected to the famous Kadison-Singer problem, a question about the foundations of quantum physics that had remained unsolved for almost 50 years.

Over the decades, the Kadison-Singer problem had wormed its way into a dozen distant areas of mathematics and engineering, but no one seemed to be able to crack it. The question “defied the best efforts of some of the most talented mathematicians of the last 50 years,” wrote Peter Casazza and Janet Tremain of the University of Missouri in Columbia, in a 2014 survey article.

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.

US Ranked 35th In Math Achievement

Drew DeSilver:

Scientists and the general public have markedly different views on any number of topics, from evolution to climate change to genetically modified foods. But one thing both groups agree on is that science and math education in the U.S. leaves much to be desired.

In a new Pew Research Center report, only 29% of Americans rated their country’s K-12 education in science, technology, engineering and mathematics (known as STEM) as above average or the best in the world. Scientists were even more critical: A companion survey of members of the American Association for the Advancement of Science found that just 16% called U.S. K-12 STEM education the best or above average; 46%, in contrast, said K-12 STEM in the U.S. was below average.

Standardized test results appear to largely bear out those perceptions. While U.S. students are scoring higher on national math assessments than they did two decades ago (data from science tests are sketchier), they still rank around the middle of the pack in international comparisons, and behind many other advanced industrial nations.

Related: connected math.

Math task force.

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

Cheryl’s Birthday: Singapore’s maths puzzle baffles world

Tessa Wong:

A school maths question posted on Facebook by a Singaporean TV presenter has stumped thousands, and left many asking if that’s really what is expected of Singaporean students.
The question asks readers to guess the birthday of a girl called Cheryl using the minimal clues she gives to her friends, Albert and Bernard.

Cheryl’s Birthday was initially reported to be an examination question for 11-year-olds.
Students stressed by tough examinations is a perennial issue here, and Cheryl’s Birthday reignited concerns that the education system was too challenging.

Kenneth Chang and Alex Bellos.

Related: The infliction of Connected Math on our children is worth a deep dive.

The two cultures of mathematics and biology

Bits of Dna:

I’m a (50%) professor of mathematics and (50%) professor of molecular & cell biology at UC Berkeley. There have been plenty of days when I have spent the working hours with biologists and then gone off at night with some mathematicians. I mean that literally. I have had, of course, intimate friends among both biologists and mathematicians. I think it is through living among these groups and much more, I think, through moving regularly from one to the other and back again that I have become occupied with the problem that I’ve christened to myself as the ‘two cultures’. For constantly I feel that I am moving among two groups- comparable in intelligence, identical in race, not grossly different in social origin, earning about the same incomes, who have almost ceased to communicate at all, who in intellectual, moral and psychological climate have so little in common that instead of crossing the campus from Evans Hall to the Li Ka Shing building, I may as well have crossed an ocean.1

I try not to become preoccupied with the two cultures problem, but this holiday season I have not been able to escape it. First there was a blog post by David Mumford, a professor emeritus of applied mathematics at Brown University, published on December 14th. For those readers of the blog who do not follow mathematics, it is relevant to what I am about to write that David Mumford won the Fields Medal in 1974 for his work in algebraic geometry, and afterwards launched another successful career as an applied mathematician, building on Ulf Grenader’s Pattern Theory and making significant contributions to vision research. A lot of his work is connected to neuroscience and therefore biology. Among his many awards are the MacArthur Fellowship, the Shaw Prize, the Wolf Prize and the National Medal of Science. David Mumford is not Joe Schmo.

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.

Math Forum Audio & Video (2008!).

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.

Shanghai teachers flown to the UK for maths (Stopping in Madison?)

Sean Coughlan:

Up to 60 Shanghai maths teachers are to be brought to England to raise standards, in an exchange arranged by the Department for Education.

They will provide masterclasses in 30 “maths hubs”, which are planned as a network of centres of excellence.

The Chinese city’s maths pupils have the highest international test results.

The announcement comes as a campaign is launched to raise adult maths skills, with warnings that poor numeracy is costing the UK economy £20bn per year.

The National Numeracy Challenge aims to improve numeracy levels for a million people.

It is providing an online self-assessment test – with help for those lacking in confidence in maths.

Financial cost
Mike Ellicock, chief executive of National Numeracy, says 78% of working-age adults have maths skills below the equivalent of a GCSE grade C – and that half only have the maths skills of a child leaving primary school.

Related Connected Math and disastrous reading results in Madison.

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.

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

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

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:

Wisconsin DPI Mathematics Education Videos

Wisconsin DPI Connected email:

Wisconsin’s alignment of Teaching Channel videos to new mathematics standards is so useful it’s being recommended on the national level.
For each of the eight skills of the Common Core State Standards for Mathematical Practice, the creators of DPI’s Mathematical Literacy website found at least one video to help teachers visualize how to address it in their classrooms.
Wisconsin’s site was created by Diana Kasbaum, the DPI’s mathematics education consultant, along with Jackie Herrmann and Becky Walker of the Appleton Area School District and Jeff Ziegler of the Madison Metropolitan School District. The Council for Chief State School Officers recommended the site in a nationwide email to help educators implement the Common Core.
The website simultaneously addresses the Common Core State Standards requirement of Disciplinary Literacy—the idea that students need subject area educators to teach them ways to read, write, think, listen, and speak that are specific to those fields. In mathematics, a team of Wisconsin educators found that the Mathematical Practice standards effectively address disciplinary literacy as well.

How they teach math in MMSD middle school

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

Madison School District Administration Response to the Math Task Force

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

The purpose of this report is to describe the recomrnendations in response to the Madison Metropolitan School District Mathematics Task Force Report: Review of Mathematics Curriculum and Related Issues, submitted to the Board of Education June, 2008.
Administrative Recommendations Summary The materials included in this packet update and replace those distributed to the Board of Education in April 2009. Included in the materials is a proposed budget.
Middle School Mathematics Specialists (see Recommendations 1-5)
The Superintendent and UW-Madison Deans of Letters and Sciences and the School of Education commissioned a representative and collaborative group to design a professional development plan for this initiative. The group was convened in June and has since met four times during the summer to research and design a professional development plan to support middle school mathematics teachers.
The Middle School Math Partnership committee has tentatively planned five courses for the professional development proposal. Those courses are Number and Generalization, Rational Number and Proportional Reasoning, Geometry, Measurement and Trigonometry, and Algebra and Functions. The courses would be spread out over two years and be co-facilitated by UW and MMSD staff.
Research, data gathering and design will continue through 2009-2010 with the initial cohort of middle school teachers beginning in summer 2010. Upon completion of an initial draft, the plan will be presented to district teachers for further input and refinement.
In collaboration with the above group, a National Science Foundation Targeted Partnership proposal, Professional Learning Partnership K-20 (PLP K-20), was submitted on August 20, 2009. A UW-Madison and MMSD team of nearly 30 members worked during the summer to craft a proposal focused on systemic and sustainable mathematics professional development. The vision described in the proposal creates “a lasting interface to coordinate material, human, social, and cyber resources” among the UW-Madison and District. The principal investigator of the NSF proposal is Eric Wilcots. Co-Pl’s include Provost Deluca, Superintendent Nerad, Dean Sandefur and Dean Underwood.

Background notes and links:

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

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

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

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

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

Well-Connected Parents Take On School Boards

Michael Alison Chandler:

For a new generation of well-wired activists in the Washington region, it’s not enough to speak at Parent-Teacher Association or late-night school board meetings. They are going head-to-head with superintendents through e-mail blitzes, social networking Web sites, online petitions, partnerships with business and student groups, and research that mines a mountain of electronic data on school performance.
In recent weeks, parent-led campaigns helped bring down a long-established grading policy in Fairfax County and scale back the unpopular practice of charging fees for courses in Montgomery County. They have also stoked debates over math education in Frederick and Prince William counties.

Links:

Madison Math Task Force Public Session Wednesday Evening 1/14/2009

The public is invited to attend the Cherokee Middle School PTO’s meeting this Wednesday, January 14, 2009. The Madison School District will present it’s recent Math Task Force findings at 7:00p.m. in the Library.
Cherokee Middle School
4301 Cherokee Dr
Madison, WI 53711
(608) 204-1240

Notes, audio and links from a recent meeting can be found here.
A few notes from Wednesday evening’s meeting:

A participant asked why the report focused on Middle Schools. The impetus behind the effort was the ongoing controversy over the Madison School District’s use of Connected Math.
Madison’s math coordinator, Brian Sniff, mentioned that the District sought a “neutral group, people not very vocal one end or the other”. Terry Millar, while not officially part of the task force, has been very involved in the District’s use of reform math programs (Connected Math) for a number of years and was present at the meeting. The 2003, $200,000 SCALE (System-Wide Change for All Learners and Educators” (Award # EHR-0227016 (Clusty Search), CFDA # 47.076 (Clusty Search)), from the National Science Foundation) agreement between the UW School of Education (Wisconsin Center for Education Research) names Terry as the principal investigator [340K PDF]. The SCALE project has continued each year, since 2003. Interestingly, the 2008 SCALE agreement ([315K PDF] page 6) references the controversial “standards based report cards” as a deliverable by June, 2008, small learning communities (page 3) and “Science Standards Based Differentiated Assessments for Connected Math” (page 6). The document also references a budget increase to $812,336. (additional SCALE agreements, subsequent to 2003: two, three, four)
Task force member Dr. Mitchell Nathan is Director of AWAKEN [1.1MB PDF]:

Agreement for Releasing Data and Conducting Research for
AWAKEN Project in Madison Metropolitan School District
The Aligning Educational Experiences with Ways of Knowing Engineering (AWAKEN) Project (NSF giant #EEC-0648267 (Clusty search)) aims to contribute to the long-term goal of fostering a larger, more diverse and more able pool of engineers in the United States. We propose to do so by looking at engineering education as a system or continuous developmental experience from secondary education through professional practice….
In collaboration with the Madison Metropolitan School District (MMSD), AWAKEN researchers from the Wisconsin Center for Educational Research (WCER) will study and report on science, mathematics, and Career and Technical Education (specifically Project Lead The Way) curricula in the district.
Task force member David Griffeath, a UW-Madison math professor provided $6,000 worth of consulting services to the District.
Former Madison Superintendent Art Rainwater is now working in the UW-Madison School of Education. He appointed (and the board approved) the members of the Math Task Force.

Madison School Board Vice President Lucy Mathiak recently said that the “conversation about math is far from over”. It will be interesting to see how this plays out.
I am particularly interested in what the ties between the UW-Madison School of Education and the Madison School District mean for the upcoming “Strategic Planning Process” [49K PDF]. The presence of the term “standards based report cards” and “small learning communities” within one of the SCALE agreements makes me wonder who is actually driving the District. In other words, are the grants driving decision making?
Finally, it is worth reviewing the audio, notes and links from the 2005 Math Forum, including UW-Madison math professor emeritus Dick Askey’s look at the School District’s data.
Related: The Politics of K-12 Math and Academic Rigor.

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

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

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

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

Math Forum audio & video.

Madison Schools’ Math Task Force Discussion

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

Complete 3.9MB PDF Report

Madison Math Task Force Minutes

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

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

Math Forum audio / video and links.

Madison United for Academic Excellence meeting on MMSD Math

The Madison United for Academic Excellence (MUAE) meeting of 21 February 2008 offered a question and answer session with Welda Simousek, TAG coordinator, Lisa Wachtel, Director of Teaching and Learning, and Brian Sniff, Math Coordinator, each of MMSD.

The video of the meeting is about 1 hours and 30 minutes long, but does not include the last 15 minutes of a spirited discussion. Click on the image at left to watch the video. The video will play immediately, while the file continues to download.

The topics covered during remarks and the question and answer sessions are

Middle School Math Assessment
Math Task Force
Teacher Certifications in Math
Connected Math Curriculum in Middle Schools
High School Math Curriculum and variations among schools

The slide materials for Lisa’s and Brian’s presentation are included in Powerpoint format and PDF format. (Thanks to Brian for sending).
The handouts from this presentation (thanks to Welda): In-STEP Teacher Checklist, 2007-8 Middle School Math Assessment – Draft, Math Assessment Report.
NB: The last slides discussed during this meeting are slides numbered 15 and 16 (Math Physics, Math Chemistry, respectively). These latter slides prompted the spirited discussion mentioned above, but is not part of the video. Slides 17-19 were neither discussed nor displayed.

Columbia (Missouri) Parents for Real Math

Math Excellence in Columbia Missouri Public Schools:

To: Columbia Public Schools Board of Education and Superintendent Phyllis Chase
An increasing number of parents and community leaders have expressed concern about the various math curricula currently used in the Columbia Public Schools (CPS). These experimental math programs go by the names of Investigations (TERC), Connected Math (CMP) and Integrated Math (Core Plus) and they emphasize “self-discovery” over mathematical competency. We are concerned because these curricula have been discredited and abandoned in other regions of the country after they failed to deliver demonstrable results. The failed curricula are currently the only method of instruction in the elementary grades and middle schools. At higher grade levels, CPS has actively discouraged students from enrolling in math courses that place more emphasis on widely accepted standard methods. And, while implementing and evaluating these programs, the Columbia School District did not provide open access to meetings or adequately consider the concerns of professional mathematicians, parents and community leaders.
Therefore, we, the undersigned, would like to express our deep concern with the following issues and to propose that the Columbia School District adopt the following goals:
1. Protect the right of students to become computationally fluent in mathematics. We expect students to receive direct instruction in standard algorithms of all mathematical operations and laws of arithmetic so that they can master the skills that allow fast, accurate calculation of basic problems. This goal cannot be met with the current Investigations/TERC math curriculum for lower grade levels.
2. Ensure that math instruction is flexible enough to allow for various learning styles and is age and grade-level appropriate. The elementary level should focus on math standards that will build a solid base of mathematical skills for ALL students. Middle school curricula should build a bridge between the fundamental arithmetic learned in elementary school and the more abstract concepts taught in high school. At both the elementary and middle school levels the curricula should allow teachers the flexibility to meet the needs of all types of learners. This goal cannot be met with the Connected Math program currently used in middle and junior high schools.

Related: Columbia Parents’ blog site, which offers a number of useful posts. [RSS]
Math Forum Audio / Video.
Via a reader.

MMSD Math Review Task Force Introduction and Discussion

The Madison School District’s Math Task Force was introduced to the School Board last night. Watch the video or listen to the mp3 audio.
Background Links:

Madison School Board Discusses Independent Math Review: Audio / Video.
Math Forum Audio / Video
UW Math Professor Dick Askey on the MMSD’s math scores; related: State test scores adjusted to match last year
Isthmus Take Home Test on Curriculum
Connected Math in Olympia, WA
Lee Sensenbrenner on Connected Math
The Politics of K-12 Math and Academic Rigor
New Math Curriculum Draws Complaints

6th Grade Textbooks: Connected (left) and Singapore Math.
UPDATE: A reader emailed this:

I noticed that there were 10 student books in the 6th grade pile for CMP. That was surprising since there are only 8 in publication. Then I looked at the teacher editions and noticed there were 10 as well. There are two copies of both How Likely is It? and Covering and Surrounding.
The statement, “A quick look at the size of the Connected Math textbooks compared to the equivalent Singapore Math course materials illustrates the publisher and author interests in selling these large volumes irrespective of curriculum quality and rigor (not to mention the much larger potential for errors or the lost trees….)” is following the picture in one of the discussions. Taking a look at the Singapore Math website It appears that in addition to the 2 textbooks pictured and student workbooks pictured, there are Intensive Practice books, Extra Practice Books, and Challenging Word Problems books, as well as other resources. Also, the white book on the bottom of the pile appears to be an answer key. There are also teacher guides for 6A and 6B that are not in the picture.
I’m not suggesting the statement above is false, I would just like to point out that the picture being used is not an accurate comparison. I hope you find this information valuable.

New Math Curriculum Draws Complaints

Connected Math textbooks for one year and the equivalent Singapore Math version.
Brandon Lorenz:

A recent meeting at Central Middle School attracted about 50 people to discuss concerns with the district’s Connected Mathematics Project, a new constructivist approach that was introduced in sixth, seventh and eighth grades this year.
Another meeting for parents is scheduled for Dec. 13 at Horning Middle School.
Such new math programs rely on more hands-on activities and problem-solving skills than traditional programs.
Speaking with Zaborowski, Lynn Kucek said she was worried the math program would make it more difficult for her daughter, who does well in other subjects, to get into college.

More on Connected Math and the recent Math Forum.

“Too Little Math in Math?”

Lynn Thompson:

But they strongly believe that their math textbooks should include actual math.
Donald’s “Connected Mathematics” book at Harbour Pointe Middle School in Mukilteo asks him to arrange a list of 20 cities in order of their populations, all in the tens of millions.
Yes, he concedes, he must recognize differences among numbers, but it’s a pretty low-level task for a bright sixth-grader, about as challenging as alphabetizing words.
But check out the next activity: Locate the cities on a map.
“That’s not math,” Donald protests. “That’s geography.”
The Chacon-Taylor children and their parents, Hugh Taylor and Monique Chacon-Taylor, are among Snohomish County families raising questions about the effectiveness of widely used math textbooks that encourage discovery and writing about math, but de-emphasize basics such as multiplication and long division.
They’ve joined other Washington parents in an organization called Where’s the Math? that’s calling on the state Office of Superintendent of Public Instruction (OSPI) to rewrite its K-12 math standards, select more effective textbooks and re-examine the math content of the Washington Assessment of Student Learning (WASL)
The calls for rethinking the state’s math education come amid signs that the present system is failing large numbers of students. Just 51 percent of 10th-graders and 59 percent of fourth-graders passed the math section of the WASL in the spring. About 29,000 juniors haven’t passed the WASL math test, which they must do to graduate in spring 2008..

The Madison School District uses Connected Math in middle school. Many links and notes on math, including the recent Math Forum audio/video.

School math books, nonsense, and the National Science Foundation

David Klein:

Problem: Find the slope and y-intercept of the equation 10 = x – 2.5.
Solution: The equation 10 = x – 2.5 is a specific case of the equation y = x – 2.5, which has a slope of 1 and a y-intercept of –2.5.
This problem comes from a 7th grade math quiz that accompanies a widely used textbook series for grades 6 to 8 called Connected Mathematics Program or CMP.[1] The solution appears in the CMP Teacher’s Guide and is supported by a discussion of sample student work.
Richard Askey, a mathematician at the University of Wisconsin at Madison, reported, “I was told about this problem by a parent whose child took this quiz. The marking was exactly as in the text.”[2] Students instructed and graded in this way learn incorrect mathematics, and teachers who know better may be undermined by their less informed peers, armed with the “solution.” This example is far from the only failing of CMP. Among other shortcomings, there is no instruction on division of fractions in the entire three year CMP series, and the other parts of fraction arithmetic are treated poorly.[3]
Is CMP just an anomaly? Unfortunately not. CMP is only one of more than a dozen defective K-12 math programs funded by the National Science Foundation. More specifically, the NSF programs were created and distributed through grants from the Education and Human Resources (EHR) Division within the NSF. In contrast to the NSF’s admirable and important role in supporting fundamental scientific research, the EHR has caused, and continues to cause, damage to K-12 mathematics education.

Notes and links on math curriculum. Audio / Video from the recent math forum.
Connected Math is widely used within the Madison School District resulting in no small amount of supplementing by teachers, students and parents.

The Politics of K-12 Math and Academic Rigor

The Economist:

Look around the business world and two things stand out: the modern economy places an enormous premium on brainpower; and there is not enough to go round.
But education inevitably matters most. How can India talk about its IT economy lifting the country out of poverty when 40% of its population cannot read? [MMSD’s 10th Grade Reading Data] As for the richer world, it is hard to say which throw more talent away—America’s dire public schools or Europe’s dire universities. Both suffer from too little competition and what George Bush has called “the soft bigotry of low expectations”.

Thursday’s meeting between Madison School Superintendent Art Rainwater, the MMSD’s Brian Sniff and the UW Math department included two interesting guests: UW-Madison Chancellor John Wiley [useful math links via the Chancellor’s website] and the Dean of the UW-Madison Education School. Wiley and the Ed School Dean’s attendance reflects the political nature of K-12 curriculum, particularly math. I’m glad Chancellor Wiley took time from his busy schedule to attend and look forward to his support for substantial improvements in our local math program.

Madison and Wisconsin Math Data, 8th Grade

At a meeting on February 22 (audio / video), representatives of the Madison Metropolitan School District presented some data [820K pdf | html (click the slide to advance to the next screen)] which they claimed showed that their middle school math series, Connected Mathematics Project, was responsible for some dramatic gains in student learning. There was data on the percent of students passing algebra by the end of ninth grade and data from the state eighth grade math test for eight years. Let us look at the test data in a bit more detail.

All that was presented was data from MMSD and there was a very sharp rise in the percent of students scoring at the advanced and proficient level in the last three years. To see if something was responsible for this other than an actual rise in scores consider not only the the Madison data but the corresponding data for the State of Wisconsin.

The numbers will be the percent of students who scored advanced or proficient by the criteria used that year. The numbers for Madison are slightly different than those presented since the total number of students who took the test was used to find the percent in the MMSD presented data, and what is given here is the percent of all students who reached these two levels. Since this is a comparative study, either way could have been used. I think it is unlikely that those not tested would have had the same overall results that those tested had, which is why I did not figure out the State results using this modification. When we get to scores by racial groups, the data presented by MMSD did not use the correction they did with all students ( All 8th grade students in both cases)


	MMSD	Wisconsin
Oct 97	40	30
Feb 99	45	42
Feb 00	47	42
Feb 01	44	39
Feb 02	48	44
Nov 02	72	73
Nov 03	60	65
Nov 04	71	72

This is not a picture of a program which is remarkably successful. We went from a district which was above the State average to one with scores at best at the State average. The State Test was changed from a nationally normed test to one written just for Wisconsin, and the different levels were set without a national norm. That is what caused the dramatic rise from February 2002 to November 2002. It was not that all of the Middle Schools were now using Connected Mathematics Project, which was the reason given at the meeting for these increases.

It is worth looking at a breakdown by racial groups to see if there is something going on there. The formats will be the same as above.

Hispanics
	MMSD	Wisconsin
Oct 97	19	11
Feb 99	25	17
Feb 00	29	18
Feb 01	21	15
Feb 02	25	17
Nov 02	48	46
Nov 03	37	38
Nov 04	50	49

Black (Not of Hispanic Origin)
	MMSD	Wisconsin
Oct 97	8	5
Feb 99	10	7
Feb 00	11	7
Feb 01	8	6
Feb 02	13	7
Nov 02	44	30
Nov 03	29	24
Nov 04	39	29

Asian
	MMSD	Wisconsin
Oct 97	25	22
Feb 99	36	31
Feb 00	35	33
Feb 01	36	29
Feb 02	41	31
Nov 02	65	68
Nov 03	55	53
Nov 04	73	77

White
	MMSD	Wisconsin
Oct 97	54	35
Feb 99	59	48
Feb 00	60	47
Feb 01	58	48
Feb 02	62	51
Nov 02	86	81
Nov 03	78	73
Nov 04	88	81

I see nothing in the demography by race which supports the claim that Connected Mathematics Project has been responsible for remarkable gains. I do see a lack of knowledge in how to read, understand and present data which should concern everyone in Madison who cares about public education. The School Board is owed an explanation for this misleading presentation. I wonder about the presentations to the School Board. Have they been as misleading as those given at this public meeting?

Richard Askey

Math Forum Audio / Video and Links

Video and audio from Wednesday’s Math Forum are now available [watch the 80 minute video] [mp3 audio file 1, file 2]. This rare event included the following participants:

Dick Askey (UW Math Professor)

Faye Hilgart, Madison Metropolitan School District

Steffen Lempp (MMSD Parent and UW Math Professor)

Linda McQuillen, Madison Metropolitan School District

Gabriele Meyer (MMSD Parent and a UW Math Department Lecturer)

Dr. Terry Millar of the Wisconsin Center for Education Research

The conversation, including audience questions was lively.

“Less May be More with Math Curriculum”

Jamaal Abdul-Alim:

The books are distributed by an Oregon-based company known as SingaporeMath.com, which counts a private school in Madison as the first of its growing number of clients.
The biggest difference between math instruction in Singapore – a city-state with a population of about 4.4 million – and the United States is a simple premise: Less is more.
Students in Singapore are introduced to roughly half the number of new math topics a year as students in the United States are. Experts and policy analysts say Singapore’s emphasis on depth over breadth is a formula for success.
The thicker the textbooks and the greater the volume of math topics introduced a year, the less likely American students and teachers are to achieve similar results, says Alan Ginsburg, director of the policy and program studies service at the U.S. Department of Education.

More on the Connected Math / Singapore Math textbook photos.

Madison Country Day School was the first US school to purchase Singapore Math textbooks, in 1997, according to this article.

Math Curriculum: Textbook Photos

A year’s worth of Connected Math textbooks and teacher guides are on the left while the equivalent Singapore Math texts are on the right.

Friedman’s latest ,where he demonstrates how other countries are “eating our kid’s lunch in math” is well worth reading, as are these www.schoolinfosystem.org math posts. UW Math Professor Dick Askey has much more to say on K-12 math curriculum.

A few observations from a layperson who couldn’t be farther from a math expert’s perspective on this (in other words, I’m not a math expert):

Children must be able to read effectively to use the voluminous Connected Math curriculum,
The Connected Math curriculum has very extensive teacher instructions, while the Singapore curriculum is rather thin in this area. Does it follow that teachers using Singapore Math have far more freedom with respect to their instruction methods, or is the intention to make sure that teachers teach Connected Math in a scripted way?
The Connected Math texts require more dead trees and I assume cost more than the Singapore texts directly and indirectly (transportation, packaging and the overhead of dealing with more pieces)
The voluminous Connected Math texts have far more opportunities for errors, simply based on the amount of text and illustrations included in the books.
Madison Country Day School uses Singapore Math.

There’s quite a bit of discussion on Connected Math and Singapore Math around the internet. Maybe it’s time to follow the www.heymath.net people (from India, China and Great Britain) and virtualize this while eliminating the textbooks?

Post your comments below.

K-12 Math Curriculum: A Visit With UW Math Professor Dick Askey

UW Math Professor Dick Askey kindly took the time to visit with a group of schoolinfosystem.org writers and friends recently. Dick discussed a variety of test results, books, articles and links with respect to K-12 math curriculum. Here are a few of them:

Test Results:
Wisconsin is slipping relative to other states in every two year NAP (sp?) Math test (4th and 8th grade). In 1992, Wisconsin 4th graders were 10 points above the national average while in 2003 they were 4 points above. Wisconsin students are slipping between 4th and eighth grades. In fact, white and hispanic children are now performing equivalent to Texas students while Wisconsin black students are performing above Washington, DC and Arkansas (the two lowest performers). He mentioned that there is no serious concern about the slippage.

30 years ago, the United States had the highest % of people graduating from High School of any OECD country. Today, we’re among the lowest. We also have a higher drop out rate than most OECD countries.

Said that he has asked Madison Schools Superintendent Art Rainwater twice in the past five years if our District asked for and received corrections for the current connected Math textbooks.

Mentioned that CorePlus is evidently being used at West High but not Memorial

Asked why these math performance declines are happening, he mentioned several reasons; “tame mathemeticians”, declining teacher content knowledge (he mentioned the rigor of an 1870’s California Teacher exam) and those who are true believers in the rhetoric.
Books:
Knowing and Teaching Elementary Mathematics: Teachers’ Understanding of Fundamental Mathematics in China and the United States

The Schools by Martin Mayer

Chris Rickert via several kind readers:

Math Curriculum Board Meeting Video Clips

The Madison School Board Performance & Achievement Committee met monday night, to discuss “Research-Base Underlying MMSD Mathematics Curriculum & Instruction” Here are some video clips from the meeting:

Madison Superintendent Jennifer Cheatham proposes $31 million, five-year technology plan

Molly Beck:

All students in the Madison School District would have their own tablets or notebook computers by the 2018-19 school year under a five-year, $31 million plan proposed by Superintendent Jennifer Cheatham.
If approved, the plan would increase the district’s current
$1.5 million annual technology budget to $4.2 million in the 2014-15 school year to start upgrading the district’s network infrastructure, upgrade or equip classrooms and libraries with new technology or computers, and provide notebook computers to all district teachers and administrators. Elementary teachers also would get tablet computers under the plan.
Costs to upgrade are projected to increase each of the five years of the plan for a total of $31 million spent in that time. Afterward, the annual budget for technology would be about $7 million per year going forward.
…..
Madison School Board members, who formally received the plan at their meeting Monday, were mostly optimistic about the plan. Board member T.J. Mertz questioned whether the program needed to be as extensive as it’s proposed given what he said were other unmet needs in the district and given research that he called “universally disappointing” surrounding such initiatives.
Mertz said in an interview after Monday’s board meeting that he agrees with the majority of the investments in technology under the plan, “but then there’s a third or a quarter where I think it’s going overboard.”
As an example, Mertz said he questions whether every kindergarten student needs their own tablet computer.

Prior to spending any additional taxpayer funds on new initiatives, I suggest that the District consider (and address) the status of past expensive initiatives, including:
Infinite Campus: is it fully implemented? If not, why? Why continue to spend money on it?
“Standards based report cards“.
Connected Math.
Small Learning Communities.
And of course, job number one, the District’s long term disastrous reading scores.
Madison already spends double the national average per student ($15k). Thinning out initiatives and refocusing current spending on reading would seem to be far more pressing than more hardware.

The Crushing Racism of Low Expectations

Liz Peek:

One of the lesser-broadcast features of the most recent jobs report is that unemployment for African-Americans actually ticked higher, to 13 percent, even as the rest of the country held even at 7.3 percent.
Unemployment for Hispanics was 9.3 percent and for Asians 5.1 percent. Also worrisome, the number of African-American adults who held jobs actually declined last month, and fewer than 61 percent of blacks are working–the lowest participation rate since 1982.
While New York’s Mayor Bloomberg sees racism in the campaign of Bill deBlasio and Jay Z finds racism in the Trayvon Martin decision, I perceive racism in these jobs figures. Blacks are increasingly left behind, at least in part because their leaders do not demand better schools. The greatest source of “disparate impact” in this country, to borrow a phrase currently popular with the Justice Department, is that most black kids can’t read or write. Upward mobility for the African-American community, tenuous at best, is squashed the minute they enter kindergarten.
Too harsh? Not by half. Consider the results from the recent Common Core testing in New York, one of the first to measure how students meet the new nation-wide standards. Statewide, 31 percent of public school students in grades 3 through 8 were considered proficient in English; only 16 percent of blacks met that test, compared to 50 percent of Asians and 40 percent of whites – results which the state’s education department says reveals “the persistence of the achievement gap.”

Related: English 10 & Connected Math.

Tyrany of Low Expectations: Will lowered test scores bring about broader change in Madison schools?

Wisconsin has a “long way to go in all our racial/ethnic groups,” said Adam Gamoran, director of the Wisconsin Center for Education Research at UW-Madison.
My hope is that, given Wisconsin’s overwhelmingly white population, proficiency problems among white students will spur more people to push for policies inside and outside of school that help children — all children — learn.
“I hate to look at it that way, but I think you’re absolutely right,” said Kaleem Caire, president and CEO of the Urban League of Greater Madison. “The low performance of white students in our state may just lead to the type and level of change that’s necessary in public education for black and other students of color to succeed as well.”
Indeed, Gamoran said Massachusetts’ implementation of an evaluation system similar to the one Wisconsin is adopting now has been correlated with gains in reading and math proficiency and a narrowing of the racial achievement gap in math. But he emphasized that student achievement is more than just the schools’ responsibility.
Madison has known for a while that its schools are not meeting the needs of too many students of color.

The issue of low expectations and reduced academic standards is not a new one. A few worthwhile, related links:

April 2004 West High School Math Teacher Letter

Moreover, parents of future West High students should take notice: As you read this, our department is under pressure from the administration and the math coordinator’s office to phase out our “accelerated” course offerings beginning next year. Rather than addressing the problems of equity and closing the gap by identifying minority math talent earlier, and fostering minority participation in the accelerated programs, our administration wants to take the cheaper way out by forcing all kids into a one-size-fits-all curriculum.
It seems the administration and our school board have re-defined “success” as merely producing “fewer failures.” Astonishingly, excellence in student achievement is visited by some school district administrators with apathy at best, and with contempt at worst. But, while raising low achievers is a laudable goal, it is woefully short-sighted and, ironically, racist in the most insidious way. Somehow, limiting opportunities for excellence has become the definition of providing equity! Could there be a greater insult to the minority community?
2009: 60% to 42%: Madison School District’s Reading Recovery Effectiveness Lags “National Average”: Administration seeks to continue its use
2006: Math Forum audio, video and links
2005: When all third graders read at grade level or beyond by the end of the year, the achievement gap will be closed…and not before
“They’re all rich, white kids and they’ll do just fine” — NOT!
2006: Connected Math
2005: English 10
2009: Action Needed, Please Sign on…. Math Teacher Hiring in the Madison School District
Madison will spend $374,700,000 to educate 24,861 students during the 2012-2013 school year. $15,071/student.
wisconsin2.org.

Paul Vallas visits Madison; Enrollment Growth: Suburban Districts vs. Madison 1995-2012

Paul Vallas will be speaking at Madison LaFollette high school on Saturday, May 26, 2012 at 1:00p.m. More information, here.
Much more on Paul Vallas, here.
Directions.
Per Student Spending:
I don’t believe spending is the issue. Madison spends $14,858.40/student (2011-2012 budget)
Middleton’s 2011-2012 budget: $87,676,611 for 6,421 students = $13,654.67/student, about 8% less than Madison.
Waunakee spends $12,953.81/student about 13% less than Madison.
A few useful links over the past decade:

Oh, the Places We Go, Madison Superintendents…

Strings Protest Madison School District Art Rainwater & Clarence Sherrod

Related:

Is $14,858.40 Per Student, Per Year Effective? On Madison Superintendent & School Board Accountability…
Notes and Links on the Madison K-12 Climate and Superintendent Hires Since 1992
Madison School Board member Ed Hughes: “A Good Man Calls It Quits“.

Assistant superintendent Art Rainwater was elevated (no one else applied) to Superintendent when Cheryl Wilhoyte was pushed out. Perhaps Madison will think different this time and look outside the traditional, credentialed Superintendent candidates. The District has much work to do – quickly – on the basics, reading/writing, math and science. A steady diet of reading recovery and connected math along with above average spending of nearly $15k/student per year has not changed student achievement.

Poor numeracy ‘blights the economy and ruins lives’

Judith Burns:

Poor numeracy is blighting Britain’s economic performance and ruining lives, says a new charity launched to champion better maths skills.
The group, National Numeracy, says millions of people struggle to understand a payslip or a train timetable, or pay a household bill.
It wants to challenge a mindset which views poor numeracy as a “badge of honour”.
It aims to emulate the success of the National Literacy Trust.

Dumbing down of state education has made Britain more unequal than 25 years ago; In the name of equality, anti-elitist teachers are betraying the hopes of the young.

Toby Young:

A controversy broke out on Twitter earlier this week about an article in the Times Educational Supplement in which a teacher called Jonny Griffiths describes a conversation with a bright sixth-former who’s worried about his exam results. “Apart from you, Michael, who cares what you get in your A-levels?” he says. “What is better: to go to Cambridge with three As and hate it or go to Bangor with three Cs and love it?”
The controversy was not about whether the teacher was right to discourage his student to apply to Cambridge – no one thought that, obviously – but whether the article was genuine. Was Jonny Griffiths a real teacher or the fictional creation of a brilliant Tory satirist? Most people found it hard to believe that a teacher who didn’t want his pupils to do well could be in gainful employment.
Alas, Mr Griffiths is all too real. Since 2009, when I first mooted the idea of setting up a free school devoted to academic excellence, I’ve come across dozens of examples of the same attitude, all equally jaw-dropping.

We’ve certainly seen such initiatives locally. They include English 10, Connected Math and the ongoing use of Reading Recovery.
Perhaps Wisconsin’s Read to Lead initiative offers some hope with its proposal to tie teacher licensing to teacher content knowledge.
Related: Examinations for teachers, past and present.
There are certainly many parents who make sure that their children learn what is necessary through tutors, third parties, personal involement, camps, or online services. However, what about the children who don’t have such family resources and/or awareness?

Proposed Madison Prep Academy needs to show proof of effectiveness of single-gender education to get grant

Matthew DeFour:

The state Department of Public Instruction is requiring backers of the proposed Madison Preparatory Academy to provide scientific research supporting the effectiveness of single-gender education to receive additional funding.
The hurdle comes as university researchers are raising questions about whether such evidence exists. In an article published Thursday in the journal Science, researchers also say single-gender education increases gender stereotyping and legitimizes institutional sexism.
Efforts to justify single-gender education as innovative school reform “is deeply misguided, and often justified by weak, cherry-picked, or misconstrued scientific claims rather than by valid scientific evidence,” according to the article by eight university professors associated with the American Council for CoEducational Schooling, including UW-Madison psychology professor Janet Hyde.
The Urban League of Greater Madison originally proposed Madison Prep as an all-male charter school geared toward low-income minorities. But after a state planning grant was held up because of legal questions related to single-gender education, the Urban League announced it would open the school next year with single-gender classrooms in the same building.

I find this ironic, given the many other programs attempted within our public schools, such as English 10, small learning communities, connected math and a number of reading programs.
Related: Co-Ed Schooling Group Study Assails Merits of Single-Sex Education and from Susan Troller:

A newly published article by child development experts and neuroscientists blasting the trend toward single-sex education as “pseudoscience” won’t help the cause of the proposed Madison Preparatory Academy.
Neither will the continued opposition of the South Central Federation of Labor, which reiterated its opposition to the Urban League-sponsored proposal this week because teachers at the school would not be represented by a union. The Madison Metropolitan School District has a collective bargaining agreement with Madison Teachers Inc. that runs through June of 2013, and Madison Prep’s plan envisions working conditions for its staff — a longer school day and a longer school year, for example — that differ substantially from the contract the district has with its employees.
With a public hearing on the charter school scheduled for Monday, Oct. 3, the debate surrounding Madison Prep is heating up on many fronts. The Madison School Board must take a final vote giving the charter school a go or no-go decision in November.
Kaleem Caire, CEO of the Urban League and a passionate proponent for the separate boys and girls academies aimed at helping boost minority youth academic performance, says he is unimpressed by an article published in the prestigious journal, Science, on Sept. 23, that says there is “no empirical evidence” supporting academic improvement through single-sex education.

Are other DPI funded initiatives held to the same “standard”?
The timing of these events is certainly interesting.
14mb mp3 audio. WORT-FM conducted an interview this evening with Janet Shibley Hyde, one of the authors. Unrelated, but interesting, Hyde’s interview further debunked the “learning styles” rhetoric we hear from time to time.
UPDATE: The Paper in Question: The Pseudoscience of Single-Sex Schooling:

In attempting to improve schools, it is critical to remember that not all reforms lead to meaningful gains for students. We argue that one change in particular–sex-segregated education–is deeply misguided, and often justified by weak, cherry-picked, or misconstrued scientific claims rather than by valid scientific evidence. There is no well-designed research showing that single-sex (SS) education improves students’ academic performance, but there is evidence that sex segregation increases gender stereotyping and legitimizes institutional sexism.

Whose school is it anyway? Under proposal, taxpayers could pay for experimental charter schools

Susan Troller

Kaleem Caire has spent much of the last year making a passionate, personal and controversial pitch for a publicly funded male-only charter school called Madison Preparatory that would operate independently of the Madison Metropolitan School District. It aims to serve primarily minority boys in grades six through 12 and their families.
Caire, a Madison native and the president and CEO of the Urban League of Greater Madison, has mustered a great deal of community support by highlighting the struggles of and grim statistics surrounding black and Hispanic young boys and men in Dane County, and through telling his own powerful story of underachievement in Madison’s public schools.
“I learned about racism and lower expectations for minority kids when I arrived the first day at Cherokee Middle School, and all the black boys and a few other minorities sat at tables in the back. I was assigned to remedial math, and even when I showed the teacher I already knew how to do those worksheets, that’s where I was stuck,” Caire says.
With its emphasis on discipline, family involvement, preppy-looking uniforms and a non-negotiable stance on being a union-free school, Caire’s proposal for the boys-only middle and high school has won hundreds of enthusiastic supporters, including a number of prominent conservatives who, surprisingly, don’t seem particularly troubled by the school’s price tag.

Some might argue that certain programs within “traditional” public schools are experimental, such as Connected Math and Small Learning Communities among others.

Financial Literacy

The Economist:

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

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

“American Education Fails Because It Isn’t Education”

Tom DeWeese:

Perhaps the most bizarre of all of the school restructuring programs is mathematics. Math is an exact science, loaded with absolutes. There can be no way to question that certain numbers add up to specific totals. Geometric statements and reasons must lead to absolute conclusions. Instead, today we get “fuzzy” Math. Of course they don’t call it that.
As ED Watch explains, “Fuzzy” math’s names are Everyday Math, Connected Math, Integrated Math, Math Expressions, Constructive Math, NCTM Math, Standards-based Math, Chicago Math, and Investigations, to name a few. Fuzzy Math means students won’t master math: addition, subtraction, multiplications and division.
Instead, Fuzzy Math teaches students to “appreciate” math, but they can’t solve the problems. Instead, they are to come up with their own ideas about how to compute.
Here’s how nuts it can get. A parent wrote the following letter to explain the everyday horrors of “Everyday Math.” “Everyday Math was being used in our school district. My son brought home a multiplication worksheet on estimating. He had ‘estimated’ that 9×9=81, and the teacher marked it wrong. I met with her and defended my child’s answer.
The teacher opened her book and read to me that the purpose of the exercise was not to get the right answer, but was to teach the kids to estimate. The correct answer was 100: kids were to round each 9 up to a 10. (The teacher did not seem to know that 81 was the product, as her answer book did not state the same.)”
Social, political, multicultural and especially environmental issues are rampant in the new math programs and textbooks. One such math text is blatant. Dispersed throughout the eighth grade textbooks are short, half page blocks of text under the heading “SAVE PLANT EARTH.” One of the sections describes the benefits of recycling aluminum cans and tells students, “how you can help.”
In many of these textbooks there is literally no math. Instead there are lessons asking children to list “threats to animals,” including destruction of habitat, poisons and hunting. The book contains short lessons in multiculturalism under the recurring heading “Cultural Kaleidoscope.” These things are simply political propaganda and are there for one purpose – behavior modification. It’s not Math. Parents are now paying outside tutors to teach their children real Math – after they have been forced to sit in classrooms for eight hours a day being force-fed someone’s political agenda.

The Secret Gripes of Professor Klein: An AP-IB Drama

Jay Matthews:

David Klein, a mathematics professor at California State University at Northridge, says he was pleased to review Advanced Placement and International Baccalaureate math courses for the Thomas B. Fordham Institute. He respects institute President Chester E. “Checker” Finn Jr., a longtime leader in the movement to improve U.S. schools. Among the views Klein shares with Finn is that overuse of calculators can interfere with students’ mastery of analytical skills.
But their collaboration on Fordham’s analysis of AP and IB did not turn out the way either of them hoped.
On June 4, Klein submitted his report on two courses, AP Calculus AB and IB Mathematics SL. Klein’s analysis of AP and IB math was more negative and his grades lower than what the experts on AP and IB English, history and biology courses submitted to Fordham. He would have given the AP math course a C-plus and the IB math course a C-minus. The other reviewers thought none of the courses they looked at deserved anything less than a B-minus.
Still, Klein says, he got no indication from the Fordham staff of any problems until the edited version of his material came back to him for review on Sept. 28, a week before the deadline for completing the report. Many of what he considered his strongest points, he discovered, had been deleted. He had Fordham remove his name as a co-author of the report, “Advanced Placement and International Baccalaureate: Do They Deserve Gold Star Status?” which was released Nov. 14.
After agreeing to the name removal, Finn told Klein in an e-mail: “I imagine we’ll also reduce your overemphasis on calculator use and probably change the grades (upward). Thanks, tho, for your help.” Klein’s grade of C-plus for AP was not changed, but his grade of C-minus for IB got a big jump to a B-minus, meaning the report was saying that IB math was better than AP math, the opposite of what Klein had said.

Math Forum
UW Math Professor Emeritus Richard Askey’s posts (Askey is also a member of the National Academy of Sciences)
Connected Math posts.
Math topics on SIS
Klein’s Evaluation of AP Calculus AB and IB Math SL
Much more about David Klein

Against School: How Public Education Cripples our Kids, and Why

John Taylor Gatto:

How do we educate our children to be active, critical thinkers and not dumb passive consumers serving someone else interests? For however strange this may sound to you, it may have been “marketing” itself to bring us the terrible education system most civilized countries have adopted in the last century or so.
“The advent of mass production required a growth in mass consumption as well, but back then most people “considered it both unnatural and unwise to buy things they didn’t actually need“.

“We don’t need Karl Marx‘s conception of a grand warfare between the classes to see that it is in the interest of complex management, economic or political, to dumb people down, to demoralize them, to divide them from one another, and to discard them if they don’t conform.

Mandatory schooling was a godsend on that count. School didn’t have to train kids in any direct sense to think they should consume nonstop, because it did something even better: it encouraged them not to think at all. “

Non-sense, paranoia?

Prof. Cubberley, who was Dean of Stanford’s School of Education, wrote in his 1922 book entitled Public School Administration: “Our schools are . . . factories in which the raw products (children) are to be shaped and fashioned.. . . And it is the business of the school to build its pupils according to the specifications laid down.“

The essay I present here today, “Against School” by John Taylor Gatto, is a definitive eye-opener for all those buying into our present education system without any critical perspective.

“We have become a nation of children, happy to surrender our judgments and our wills to political exhortations and commercial blandishments that would insult actual adults. We buy televisions, and then we buy the things we see on the television. We buy computers, and then we buy the things we see on the computer.

…

And, worst of all, we don’t bat an eye when Ari Fleischer tells us to “be careful what you say“, even if we remember having been told somewhere back in school that America is the land of the free. We simply buy that one too. Our schooling, as intended, has seen to it.“

This is what Prof. Gatto writes without hesitation. He looks in depth at our present education system and analyzes the history and motives that have brought about “school” as we know it today.

And the more I look at it, the more I see how devastatingly negative, traditional school really is. As I have, if you are a parent to some young minds, consider well and deeply where and how to give them an education, and how to avoid the pitfalls of those paralyzing psychological handicaps that the traditional education system imposes on everyone.

“School trains children to be employees and consumers; teach your own to be leaders and adventurers. School trains children to obey reflexively; teach your own to think critically and independently. “

Read this fascinating essay in full:

Against School: How Public Education Cripples our Kids, and Why:

I taught for thirty years in some of the worst schools in Manhattan, and in some of the best, and during that time I became an expert in boredom.
Boredom was everywhere in my world, and if you asked the kids, as I often did, why they felt so bored, they always gave the same answers: They said the work was stupid, that it made no sense, that they already knew it. They said they wanted to be doing something real, not just sitting around. They said teachers didn’t seem to know much about their subjects and clearly weren’t interested in learning more. And the kids were right: their teachers were every bit as bored as they were.
Boredom is the common condition of schoolteachers, and anyone who has spent time in a teachers’ lounge can vouch for the low energy, the whining, the dispirited attitudes, to be found there.
When asked why they feel bored, the teachers tend to blame the kids, as you might expect. Who wouldn’t get bored teaching students who are rude and interested only in grades? If even that.
Of course, teachers are themselves products of the same twelve-year compulsory school programs that so thoroughly bore their students, and as school personnel they are trapped inside structures even more rigid than those imposed upon the children.

Every parent should take some time to read their children’s textbooks, particularly Connected Math, which appears to take a more consumer oriented approach to math education.

What is the place for African Americans in the ‘new’ Madison?

Blacks for Political and Social Action of Dane County, Inc.:

In the midst of these challenges, the Madison Metropolitan School District heard its superintendent-designee, Matthew Gutiérrez, was rescinding his acceptance of the position to remain as superintendent of the Seguin, Texas school district. This lack of a permanent superintendent can have an incredibly negative impact on African American students. The initiative known as “Black Excellence” began under the leadership of former superintendent Jennifer Cheatham. Cheatham has been gone for almost a year. Nothing about the current leadership suggests that Black Excellence is a district priority. African American children in Wisconsin experience the widest achievement disparities in the nation in reading and mathematics. Our eighth graders are performing 47 points below their White counterparts in mathematics. Our fourth graders are performing 39 points below their White counterparts in reading. Where is the collective outrage over these disparities? Who on the current school board is demanding improvement?

The racial problems of MMSD run long and deep: Issues of achievement, disproportionate assignment to special education, lack of access to honors and advanced placement classes, disproportionate levels of suspensions and expulsions, and disproportionate graduation rates (59% Black vs. 88% White). In the midst of this there is an inverse relationship between the percentage of teachers of color and that of students. Eighty-eight percent of the teachers are White in a district with a student population that is 43% White. And, we have had repeated instances of White teachers using racial epithets and other disrespect toward Black students and their parents (e.g. a White teacher mistakenly sent a text to a Black parent about how the parent and her child were so dumb).

African Americans in Madison have been more than patient when it comes to improving their status — education, employment, housing, and every other measure of health and well-being. There have been over 40 years of reports, task forces and initiatives. Post-pandemic Madison will be a “new” Madison. We have learned a lot in the midst of crisis. We know that far too many of our community members are one paycheck away from poverty — loss of housing, food, health care, childcare, schooling, etc. What is the place for African Americans in this new Madison?

Related, Madison K-12 experiments:

English 10

Small Learning Communities

Reading Recovery

Small Learning Communities

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

The Unexamined Model Is Not Worth Trusting (We know best…)

Chris von Csefalvay:

In early March, British leaders planned to take a laissez-faire approach to the spread of the coronavirus. Officials would pursue “herd immunity,” allowing as many people in non-vulnerable categories to catch the virus in the hope that eventually it would stop spreading. But on March 16, a report from the Imperial College Covid-19 Response Team, led by noted epidemiologist Neil Ferguson, shocked the Cabinet of the United Kingdom into a complete reversal of its plans. Report 9, titled “Impact of non-pharmaceutical interventions (NPIs) to reduce COVID-19 mortality and healthcare demand,” used computational models to predict that, absent social distancing and other mitigation measures, Britain would suffer 500,000 deaths from the coronavirus. Even with mitigation measures in place, the report said, the epidemic “would still likely result in hundreds of thousands of deaths and health systems (most notably intensive care units) being overwhelmed many times over.” The conclusions so alarmed Prime Minister Boris Johnson that he imposed a national quarantine.

Subsequent publication of the details of the computer model that the Imperial College team used to reach its conclusions raised eyebrows among epidemiologists and specialists in computational biology and presented some uncomfortable questions about model-driven decision-making. The Imperial College model itself appeared solid. As a spatial model, it divides the area of the U.K. into small cells, then simulates various processes of transmission, incubation, and recovery over each cell. It factors in a good deal of randomness. The model is typically run tens of thousands of times, and results are averaged—a technique commonly referred to as an ensemble model.

In a tweet sent in late March, Ferguson—then still one of the leading voices within the U.K.’s Scientific Advisory Group for Emergencies (SAGE), tasked with handling the coronavirus crisis—stated that the model was implemented in “thousands of lines of undocumented” code written in C, a widely used and high-performing computing language. He refused to publish the original source code, and Imperial College has refused a Freedom of Information Act request for the original source, alleging that the public interest is not sufficiently compelling.

As Ferguson himself admits, the code was written 13 years ago, to model an influenza pandemic. This raises multiple questions: other than Ferguson’s reputation, what did the British government have at its disposal to assess the model and its implementation? How was the model validated, and what safeguards were implemented to ensure that it was correctly applied? The recent release of an improved version of the source code does not paint a favorable picture. The code is a tangled mess of undocumented steps, with no discernible overall structure. Even experienced developers would have to make a serious effort to understand it.

I’m a virologist, and modelling complex processes is part of my day-to-day work. It’s not uncommon to see long and complex code for predicting the movement of an infection in a population, but tools exist to structure and document code properly. The Imperial College effort suggests an incumbency effect: with their outstanding reputations, the college and Ferguson possessed an authority based solely on their own authority. The code on which they based their predictions would not pass a cursory review by a Ph.D. committee in computational epidemiology.

Related, Madison K-12 experiments:

English 10

Reading Recovery