David Burkehead:

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

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

Related: Math Forum audio and video.

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.”

Related:

Math Forum

Discovery Math

Connected Math

Singapore Math

Remedial Math

aJeevan Vasagar:

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

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

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

Singapore Math.

Math Forum Audio and Video

Monica Anderson:

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

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

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

Related: Math Forum audio and video.

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.

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.

Related: Connected Math, Discovery Math and the Math Forum (audio and video).

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.

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.

David Jesse:

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

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

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

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

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

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

Related: Math Forum.

American Inst. of Mathematics:

The list below groups open textbooks by course title. All the books have been judged to meet the evaluation criteria set by the AIM editorial board.

Related: Connected Math, math forum audio/video and English 10.

Vauhini Vara:

Teachers pack their items outside of Everest College, in City of Industry, California, one of the shuttered Corinthian Colleges.

Last year, I met fifteen former students and graduates of Corinthian Colleges who had taken a remarkable action to protest the collection of their student debt. Corinthian, a for-profit institution that was, at the 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.

Emma Brown

The nation’s high school seniors have shown no improvement in reading achievement and their math performance has slipped since 2013, according to the results of a test administered by the federal government last year.

The results of the National Assessment of Educational Progress, or NAEP, also show a longer-term stagnation in 12th-grade performance in U.S. public and private schools: Scores on the 2015 reading test have dropped five points since 1992, the earliest year with comparable scores, and are unchanged in math during the past decade.

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

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

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

Related: Math Forum audio/video links.

Tim Harford:

This statistical capitulation was a dismaying read for anyone still wedded to the idea — apparently a quaint one — that gathering statistical information might help us understand and improve our world. But the Guardian’s cynicism can hardly be a surprise. It is a natural response to the rise of “statistical bullshit” — the casual slinging around of numbers not because they are true, or false, but to sell a message.

Politicians weren’t always so ready to use numbers as part of the sales pitch. Recall Ronald Reagan’s famous suggestion to voters on the eve of his landslide defeat of President Carter: “Ask yourself, ‘Are you better off now than you were four years ago?’” Reagan didn’t add any statistical garnish. He knew that voters would reach their own conclusions.

The British election campaign of spring last year, by contrast, was characterised by a relentless statistical crossfire. The shadow chancellor of the day, Ed Balls, declared that a couple with children (he didn’t say which couple) had lost £1,800 thanks to the government’s increase in value added tax. David Cameron, the prime minister, countered that 94 per cent of working households were better off thanks to recent tax changes, while the then deputy prime minister Nick Clegg was proud to say that 27 million people were £825 better off in terms of the income tax they paid.

Could any of this be true? Yes — all three claims were. But Ed Balls had reached his figure by summing up extra VAT payments over several years, a strange method. If you offer to hire someone for £100,000, and then later admit you meant £25,000 a year for a four-year contract, you haven’t really lied — but neither have you really told the truth. And Balls had looked only at one tax. Why not also consider income tax, which the government had cut? Clegg boasted about income-tax cuts but ignored the larger rise in VAT. And Cameron asked to be evaluated only on his pre-election giveaway budget rather than the tax rises he had introduced earlier in the parliament — the equivalent of punching someone on the nose, then giving them a bunch of flowers and pointing out that, in floral terms, they were ahead on the deal.

Each claim was narrowly true but broadly misleading. Not only did the clashing numbers confuse but none of them helped answer the crucial question of whether Cameron and Clegg had made good decisions in office.

Related: Math Forum and Madison’s long term, disastrous reading results.

Emily Badger:

Using panel data on more than 100,000 American households over seven years, they tracked purchases of toilet paper, which has the great benefit of being non-perishable and steadily consumed (it’s hard to go without, but we also don’t use more just because we happen to have more in the house). That’s nearly 3 million toilet paper purchases.

When Orhun and Palazzolo compared households with similar consumption rates shopping at comparable stores — and controlling for two-ply TP — they found that the poor were less likely than wealthier households to buy bigger packages, or to time their purchases to take advantage of sales. By failing to do so, they paid about 5.9 percent more per sheet of toilet paper — a little less than what they saved by buying cheaper brands in the first place (8.8 percent).

Perhaps this sounds like a subtle discovery about minor household goods. But it supports a larger point about poverty: It’s expensive to be poor. Or, to state the same from another angle: Having more money gives people the luxury of paying less for things.

In the case of toilet paper, or any number of other storable goods like canned tomatoes, rice or paper towels, shoppers have to pay more up front to reap savings over time. And the poor often can’t afford to do that — to pay $24 for a 30-pack instead of $5 for a four-pack. Then, because they can’t stock up, they can’t afford to wait until the next sale comes around. When the toilet paper runs out, they have to run to the store for another small quantity of it — whatever it costs in that moment. Because they can’t use one money-saving strategy, they can’t use the other, either.

The use of connected math has not helped. More, here.

Philip Greenspun, via a kind reader:

Based on what people said at the forum, the core driver of mediocrity seems to be the dual function of the American school. A home-schooled child studies for three hours per day. A Russian child studies for about four hours, from just after breakfast until just before lunch (with 10-minute breaks, but no recess). Children are parked at an American school for 6-7 hours per day and thus necessarily much of the time is spent on stuff other than learning. This leads to the school becoming a place for “social/emotional development” during 2-3 hours per day. The “social/emotional” aspects were the foremost concerns of the parents at the forum. One mother described how the first 20 minutes out of a 25-minute parent/teacher conference were spent discussing a child’s social life during recess. This was not a complaint, just a response to the question of how such conferences were going. When asked what was on their mind, nearly every other parent led with “social/emotional.” It makes sense if you step back from the situation and ask “What is urgent for a parent?” Of course we would all like our children to be well-educated at age 25 (or 30?) when they are done with the master’s degree that is now our entry-level credential. But the immediate (and therefore urgent) goal is to see one’s child smiling. If a child comes home in tears because of something that happened at recess it would be a rare parent who would say “let’s talk about how what you learned writing this history essay is going to affect your performance in college.”

As this was a new principal and the forum was a place for open discussion, I asked if anyone had read The Smartest Kids in the World, which was a New York Times bestseller and recommended heavily by Amazon, The Economist, and various newspapers. Everyone in the room was either employed by a school or interested enough to take time to show up at this forum, but nobody had read the book. So I mentioned that the Russian system (not much better results than ours, but absurdly cheap to run by comparison) and the Finnish system had schools and teachers concentrate on the single mission of academics. Day care, sports, and social/emotional were handled by people other than teachers in venues other than school. Then I asked if there were state regulations that would prevent the town from setting up a Russian-style system in which teachers taught until lunch and then a separate set of employees took over for the lunch+afternoon social/emotional/daycare shift. That way parents could concentrate on academics when talking with teachers. The principal responded that “children aren’t built that way” (i.e., the American way of alternating academic and daycare activities for 6-7 hours is the only possible way to run a school).

Mediocre math standards are not a new issue.

Katherine Beals & Barry Garelick:

“In general, there is no more evidence of “understanding” in the explained solution, even with pictures, than there would be in mathematical solutions presented in a clear and organized way. How do we know, for example, that a student isn’t simply repeating an explanation provided by the teacher or the textbook, thus exhibiting mere “rote learning” rather than “true understanding” of a problem-solving procedure?

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

Related: Math Forum: audio/video.

Math Mistakes:

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

Related: Math Forum audio & video.

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“.

KSTP:

The results of a new survey released Monday by U.S. Bank stated that many college-age young adults say they have no idea how to keep a budget.

What’s more, they look to their parents for financial education and advice.

The study’s key findings show college students don’t fully understand credit and credit scores. They have a good perspective on saving, the study found, but they need help understanding investments and retirement savings.

According to the survey results, parents are most often mentioned as students’ financial role models.

“They really felt unprepared to talk about the future or to save for the future, had no knowledge of retirement savings whatsoever and many didn’t know that their parents would have to pay back their loan if they didn’t pay their student loan back,” Christine Hobrough, U.S. Bank region market manager in the Twin Cities, said.

Related: Connected Math and the now 10 year old math forum.

NPR:

Math teacher Sherry Read’s classroom is a total mess. The students are gone for the summer, and light fixtures dangle from the ceiling. The floor has a layer of dust. Down the hallway, workers make a racket while they renovate the school, which dates back to the 1890s. They’re working in what has become an archaeological site.

A construction crew at the Oklahoma City school made a startling discovery earlier this month. They found old chalkboards with class lessons that were written almost a century ago, and chalk drawings still in remarkably good condition. So Read doesn’t mind the mess. In fact, she’s amazed.

Related: Math Forum and Connected Math.

James Pickford:

But they don’t appear to do much financial training in Shanghai?
 
 One of the report’s most interesting conclusions was that the best way of teaching financial literacy is not necessarily by instruction in the classroom. Far more important as indicators of proficiency were mathematical skills and personal experience with financial products.
 So Chinese children, who score very highly on fundamental maths and science, are more likely to understand money-related concepts than those taught directly about banks, credit and interest rates. Countries such as the US or Slovak Republic, which had much higher levels of in-class teaching than Shanghai, performed worse when tested.
 
 Andreas Schleicher, OECD education director, said: “The volume of exposure to financial literacy in the classroom has no relationship with performance. That is very different for maths or science teaching.”
 
 The data also suggest having a bank account or managing phone credits gives a youngster much more opportunity – and motivation – to learn about financial concepts. On average, students in the 13 core OECD economies who held a bank account scored 33 points higher than those who did not.
 

Madison math forum audio and video and math task force.

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.

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.

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:

• Connected Math
• Madison Math Forum Audio/Video

John O’Connor:

Community college students are needlessly assigned to remedial math classes to learn lessons they won’t use during their studies, according to new research from a Washington, D.C. group.
And the study also found that many high school graduates are not learning subjects they will need to use in their careers.
The study was produced by the Washington, D.C.-based National Center on Education and the Economy and funded by the Bill and Melinda Gates Foundation.
“What these studies show is that our schools do not teach what their students need,” the authors wrote, “while demanding of them what they don’t need; furthermore, the skills that we do teach and that the students do need, the schools teach ineffectively. Perhaps that is where we should begin.”

Related: Math forum audio/video.

Rick Burke:

Days are getting longer, the weather is warmer. The smell of spring is in the air. But if you inhale deeply down by JSCEE, there’s another smell. It’s the smell of math. After years of sideways movement, the stars are aligned for systemic changes to math instruction in Seattle Public Schools.
When you look at Seattle kids’ math achievement against other urban districts, Seattle might seem to be doing OK. As a district-level statistic, we’re not too bad. But closer inspection of disaggregated data and the view from inside the system prompt a cry for help. Seattle still has a large number of struggling students and a persistent achievement gap which we can’t shake. Outside tutoring has become commonplace, with math as the most frequent remediation subject. However, recent national and state developments have identified common ground and outcome-proven methods which can serve as a model for Seattle.
This brings us around to a community support initiative for math education. Seattle has a math-focused School Board, and Seattle’s new superintendent, Jose Banda, came to Seattle from proven math success with a diverse student population in Anaheim. Recent news reports are that staff at JSCEE are planning a K-8 math instructional materials adoption soon. Examples of success are scattered through Seattle classrooms and it’s time for those successes to take root across the district.

Related: Math forum audio/video and Seattle’s “Discovery Math” lawsuit.

channel3000:

The University of Wisconsin-La Crosse has received a $50,000 grant to help incoming students who need remedial math courses.
The UW System says one in five incoming freshmen needs remedial math. And for under-represented minority students, that figure is double.
To bring those students up to speed faster, the La Crosse campus is using the grant money to develop an online math course. The program will be available to high school students who want to evaluate how ready they are for college, and for non-traditional students who’ve been away from school and need a refresher before coming back.

Remarkable. Are we making no progress? Perhaps it is time to revisit the math forum audio and video.
Related: What impact do high school mathematics curricula have on college-level mathematics placement? by James Wollack and Michael fish.

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.

Related:

• Math Forum audio/video
• Singapore Math
• Connected Math