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.

Related:

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.

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.

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.

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

1965 Madison School District Math 9 Textbook Committee

Madison’s most recent Math Task Force

Remedial Math at the UW-Madison.

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
.

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.

Related: Madison’s math task force [Report] and the use of reform math curricula.

(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

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

Connected Math

Discovery Math

Singapore Math

Madison’s 2009 (!) Math Task Force

21% OF UNIVERSITY OF WISCONSIN SYSTEM FRESHMAN REQUIRE REMEDIAL MATH

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?

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

Connected Math

Discovery Math

Singapore Math

Madison’s 2009 (!) Math Task Force

21% OF UNIVERSITY OF WISCONSIN SYSTEM FRESHMAN REQUIRE REMEDIAL MATH

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