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Financial ability correlates w/ maths skills not financial education: Revisiting Madison’s 2007 Math Forum

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 […]

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 […]

Math Forum: Wednesday 2.22.2006 7:00p.m.

There’s been no shortage of discusion regarding math curriculum. Rafael Gomez’s latest event, this Wednesday’s Math Forum should prove quite interesting. The event will be at the Doyle Administration Building (McDaniels Auditorium) [Map] from 7:00 to 8:00p.m. Participants include: Dick Askey (UW Math Professor) Faye Hilgart, Madison Metropolitan School District Steffen Lempp (MMSD Parent and […]

Math Curriculum and Outcomes

Steven Yoder: Susan Gilkerson, a math teacher and school bus driver, stood before a South Dakota education board and issued a warning.  The proposed math standards the board was considering — just 36 pages, less than half the length of standards adopted in 2018 — were so scant that teachers won’t know how to use them, […]

Canadian students’ math scores are falling. What B.C. schools and parents can do about it

Cheryl Chan Her call to action is echoed, on a much larger scale, by math and education experts alarmed over Canadian students’ declining math performance on global tests. A recent report from the C.D. Howe Institute called it an “urgent national concern” that requires immediate action by provincial governments. The report highlighted Canada’s performance over the past […]

First, Honesty. Then, Multiplication Tables.

Bonnie Kristian In many ways, what happened with math instruction in the United States mirrors better-known problems with how our children have been taught to read.  As outlined in the deeply reported Sold a Story podcast, American reading instruction shifted from teaching phonics and reading fundamentals through rote practice to a more “vibes-based” approach centered on sight words and “balanced […]

Madison Taxpayers spend $4,900,000 on a new math curriculum (!!!!)

Erin Gretzinger: The School Board approved a $4.9 million purchase of new math curriculum for kindergarten through eighth grade Monday after a task force concluded some of the district’s current instructional materials are “outdated.” School district administrators say the curriculum from Arizona-based Illustrative Mathematics checked many of their boxes after a thorough selection process, and a nonprofit that reviews instructional […]

Yet another Madison Math Curriculum….

Erin Eritzinger After screening bids to ensure the materials met mandatory requirements, the school district’s K8 Math Leadership team sent along four proposals for further consideration by a larger selection committee. That committee included 40 people across 21 schools and the district’s central office, as well as School Board member Ali Muldrow and Lisa Hennessey, […]

“even performing below the US”

Globe & Mail: The decline in mathematical ability isn’t just a temporary blip caused by COVID – it’s a systemic problem that’s been happening for decades. The trend is deeply concerning because just like literacy, numeracy opens a path to building knowledge and is the foundation for an important part of adult life.  A lack […]

Madison’s Math….

Quinton Klabon: Oh, no… Madison, Wisconsin, picked Illustrative Math for kindergarten through 8th grades. Shoot. Much discussion occurred about math identities, meaning making instead of memorization, and significant reading to solve problems. Milwaukee also uses it for 6th through 8th. —— “The commercial math-education sector is flooded with ineffective math programs and T professional development […]

Fifty years of A-level mathematics: have standards changed?

Ian Jones, Chris Wheadon, Sara Humphries, Matthew Inglis: Advanced-level (A-level) mathematics is a high-profile qualification taken by many school leavers in England, Wales, Northern Ireland and around the world as preparation for university study. Concern has been expressed in these countries that standards in A-level mathematics have declined over time, and that school leavers enter […]

Is there a Crisis in Math Instruction?

Nathaniel Hansford Last There has been much discussion over the last 5 years on an alleged reading crisis in the United States and the western world (Hanford, 2022). The argument has essentially been that reading achievement scores are falling and that Balanced Literacy is to blame (Hanford, 2022). However, in my opinion the state of […]

What the Math Crisis Looks Like From the Classroom

Kristen Smith: A parent of a 10th grade student came into school to talk to me the other day. He was helping his son with a Physics assignment, and he said that as they were working through an equation together, he realized that his son didn’t have his multiplication facts mastered. He wanted to come […]

“94% had completed an advanced math class in high school (e.g., pre-calculus, calculus or statistics) and received an average A- in their math courses”

Allysia Finley: Because so many incoming students were numerically illiterate, the university added a remedial class for middle- and elementary-school math. Remarkably, among students placed into that math course, 94% had completed an advanced math class in high school (e.g., pre-calculus, calculus or statistics) and received an average A- in their math courses. Is this […]

Idiocracy: What happens when even college students can’t do math anymore?

Rose Horowitch: For the past several years, America has been using its young people as lab rats in a sweeping, if not exactly thought-out, education experiment. Schools across the country have been lowering standards and removing penalties for failure. The results are coming into focus. Five years ago, about 30 incoming freshmen at UC San […]

When grades stop meaning anything: The UC San Diego math scandal is a warning

Kelsey Piper: The question that captured the world’s attention was 7 + 2 = [_] + 6. There’s no trick; it’s as easy as it looks. The answer is 3. The question was posed to students in the University of California San Diego’s (UCSD) fast-growing remedial math class, Math 2, and one-quarter of them got it wrong, […]

For Too Many American Kids, Math Isn’t Adding Up

Bloomberg: Math scores in the US have been so bad for so long that teachers could be forgiven for trying anything to improve them. Unfortunately, many of the strategies they’re using could be making things worse. It’s a crisis decades in the making. In the early 20th century, education reformers including John Dewey and William […]

Did you know that 3rd grade reading scores are highly predictive of later-life outcomes? It’s true.

Chad Aldeman: My favorite paper on this comes from Dan Goldhaber, Malcolm Wolff, and Tim Daly, who looked at how accurate early measures of achievement are in predicting longer-term academic outcomes. In a 2021 paper, they used data from North Carolina, Massachusetts and Washington State and found, “consistent and very strong relationships between 3rd grade test […]

As Wisconsin GOP eyes K-12 math reform, conservative law firm wants to help school boards

Corrinne Hess: ….. a bill will be introduced soon that will include math screeners to provide testing and individualized plans to help struggling students catch up.  “This bill is not going to be the full solution to the problem, but I think it’s going to be a very good first step in addressing a very […]

Solving Wisconsin’s Math Crisis

WILL: The News: WILL has unveiled a new policy report, “Closing Wisconsin’s Math Gap: A Call for Early Numeracy Reform,” sounding the alarm on declining math achievement and offering solutions to reverse the crisis. The report draws on lessons from seven states that have led the way in implementing serious, practical, and bipartisan numeracy reforms. These efforts build […]

‘Unproven’ teaching methods have failed primary students and teachers

Bridie Smith: Compounding matters, the report released on Sunday also found one in four teachers lacked confidence teaching grade 5 and 6 maths, while many teachers expressed concern about their colleagues’ abilities. “Maths in primary schools is just languishing,” said Grattan Institute education program director and report lead author Dr Jordana Hunter. “We need to […]

“Only 3 Wisconsin teacher preparation programs are devoting enough time to math”

Corrine Hess: Almost 25 percent of Wisconsin fourth graders lack basic math knowledge NCTQ evaluated 22 elementary teacher prep programs in Wisconsin to determine if they dedicate enough time to key math content topics and math pedagogy. The report found 14 percent of the state’s programs earned an “A+” or an “A” by dedicating at least […]

Elementary teachers themselves acknowledge that they lack the confidence to deliver robust math instruction

Teacher Prep Review: Unfortunately, many elementary students in the United States do not receive adequate math instruction. Nearly a quarter of fourth graders, over 850,000 children in the U.S.4—roughly the entire population of San Francisco—lack basic math knowledge and skills, such as locating numbers on a number line or subtracting multidigit whole numbers.5 Improving math […]

Remedial math at Harvard

S. Mac Healey and Angelina J. Parker “Students don’t have the skills that we had intended downstream in the curriculum, and so it creates different trajectories in students’ math abilities,” Kelly added. Despite the schedule differences, MA5 will reflect the material and structure of MA and MB, collectively known as Math M. “Math MA5 is actually embedded […]

“too de-focused on procedural fluency”

Susan Edelman: Scores on Algebra 1 Regents exam plummeted by 14 percentage points at south Queens schools that used a controversial new curriculum teachers have blasted as “a complete disaster,” a superintendent revealed this week Josephine Van Ess, superintendent of Queens South High Schools, told parent leaders Wednesday that the 29 high schools under her watch, all […]

Math wars podcast

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

“is guilty of “academic and professional misconduct” for pointing out errors in the California math framework”

Joanne Jacobs: Brian Conrad, a math professor and director of undergraduate math education at Stanford, is guilty of “academic and professional misconduct” for pointing out errors in the California math framework, claims a letter to the university provost. The letter signed by Duane Habecker, a math administrator, charges that Conrad has “ventured into stochastic terrorism” […]

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 […]

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 […]

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 […]

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 […]

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 […]

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 […]

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 […]

“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 Connected Math Discovery […]

Replace the Proposed New California Math Curriculum Framework

Independent Institute: 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 […]

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

George Zacharopoulos, Francesco Sella & Roi Cohen Kadosh: 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 […]

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 […]

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 […]

Civics: Math Rigor…

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

“The issue with data is one can manipulate it to show anything you want if you have an agenda,”

Faye Flam: “The issue with data is one can manipulate it to show anything you want if you have an agenda,” says YouYang Gu, an independent data scientist. Cherry picking is easy — prediction is much harder, and Gu is getting some attention for the fact that models he’s been creating since April actually forecast what’s […]

Classics v coding: what should we be teaching our kids? Reading?

Lucy Kellaway: If they master the latter they will emerge into the world better prepared than some of my own children, who took more “rigorous” subjects at school. After receiving her first payslip, one of my daughters called me to say she had been cheated: she had received less money than she’d been promised. When […]

We need to change how maths is taught in schools

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

Math from Three to Seven

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 […]

Rethinking High School Math

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

Checking In: Are Math Assignments Measuring Up?

Keith Dysarz: Nearly every state includes measures of college- and career-readiness in their accountability plans under the Every Student Succeeds Act, and the quality of classroom assignments can help gauge whether students are being prepared for success beyond high school. What is Equity In Motion? In this series, we look at how issues or equity […]

‘Striking weaknesses’ in adult financial skills By

Katherine Sellgren : A quarter of adults struggle to work out how much change they should get in a shop and half cannot read a simple financial line graph, a study suggests. The study, from Cambridge University and University College London, found “striking weaknesses” in adults’ financial skills across 31 countries. It says financial literacy […]

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 […]

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 […]

How Silicon Valley Plans to Conquer the Classroom

Natasha Singer & Danielle Ivory: Silicon Valley is going all out to own America’s school computer-and-software market, projected to reach $21 billion in sales by 2020. An industry has grown up around courting public-school decision makers, and tech companies are using a sophisticated playbook to reach them, The New York Times has found in a […]

Madison Teacher / Student Relationships and Academic Outcomes?

Karen Rivedal: “Kids aren’t going to be able to take risks and push themselves academically, without having a trusting support network there,” said Lindsay Maglio, principal of Lindbergh Elementary School, where some teachers improved on traditional get-to-know-you exercises in the first few weeks of school by adding more searching questions, and where all school staff […]

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 […]

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

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

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 […]

6 Baltimore schools, no students proficient in state tests

Chris Papst: A Project Baltimore investigation has found five Baltimore City high schools and one middle school do not have a single student proficient in the state tested subjects of math and English. We sat down with a teen who attends one of those schools and has overcome incredible challenges to find success. Related: Math […]

(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 […]

Why Singapore’s kids are so good at maths

aJeevan Vasagar: The classrooms at Admiralty are sparsely decorated. When I visit a class of 13-year-olds, there’s a single artwork on the back wall; a paper cut-out of a cherry tree scattering blossom. At the front, where the teacher stands, is a whiteboard, a projector, a Singapore flag and a clock. I am later told […]

Deja Vu: Madison School District Agreement with the US ED Office of Civil Rights

Last October, Madison Superintendent Jen Cheatham signed a resolution agreement with the U.S. Department of Education’s Office for Civil Rights regarding OCR’s compliance review of access to advanced coursework by Hispanic and African-American students in the District. The resolution agreement was presented at the December 5, 2016 Instruction Workgroup meeting (agenda item 6.1): http://www.boarddocs.com/wi/mmsd/Board.nsf/goto?open&id=AFL2QH731563 The […]

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, […]

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 […]

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 […]

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 […]

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 […]

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 […]

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

Brian Resnick: But Michèle Nuijten, a PhD student at Tilburg University in the Netherlands who co-created Statcheck, has her sights on fixing a much smaller but surprisingly impactful problem in science: rounding errors. “When starting this project, I wouldn’t say [this was a big problem],” Nuijten tells me. “We’re detecting when people are making rounding […]

Great Mathematicians on Math Competitions and “Genius”

Less Wrong: mentioned in Fields Medalists on School Mathematics, school mathematics usually gives a heavily distorted picture of mathematical practice. It’s common for bright young people to participate in math competitions, an activity which is closer to that of mathematical practice. Unfortunately, while math competitions may be more representative of mathematical practice than school mathematics, […]

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

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

Wayne State drops math as general ed requirement

David Jesse: Wayne State University has subtracted mathematics from the list of classes all students must take to graduate. Up until now, students had to take one of three different math classes before they could earn their degree. Now, depending on their major, students may be able to squeak through college without taking math. The […]

Approved Textbooks

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.

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 […]

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

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

“In addition, we see that very few schools actually achieved growth improvements of 5% or more, with changes in growth generally clustering around 0%.” Slide updates on Madison’s $500M+ Government School System

PDF slides from a recent Madison School District Quarterly Board retreat. Readers may wish to understand “MAP” or “Measure of Academic Progress” [duck duck go SIS 2012 Madison and Waunakee results] Using MAP for Strategic Framework Milestones and SIP Metrics Feedback from various stakeholders has led us to examine the use of MAP (Measures of […]

Explaining Your Math: Unnecessary at Best, Encumbering at Worst

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

Naming Coordinates, Feedback and Revision – Math Mistakes

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

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 […]

“the widespread denial of educational mediocrity”

Laura Waters: What’s more troubling is that many middle-class families take this propaganda as gospel and reject efforts to maintain meaningful oversight and accountability. The Problem Is Us Now, New Jersey may be an extreme example. We’re die-hard local control fanatics who cherish our small towns and district identities. As such, we adhere to what […]

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 […]

Young Adults Look to Parents for Financial Education

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 […]

No One Can Figure Out 1917 Multiplication Wheel

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 […]

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 […]

Parents feel ‘unequipped’ to help children with maths

Josie Gurney-Read: “It’s not a subject, maths, it’s a language. A language, without which, we cannot communicate. The teaching of arithmetic and algebra, for example, is like teaching the grammar of this language.” It will perhaps be unsurprising to most that Carol Vorderman, who spent 26 years as co-host on the Channel 4 quiz show […]

A Math Teacher on Common Core

Brooke Powers: Before Common Core I was a typical math teacher. I had my curriculum maps and and state standards which read like a skill and drill check list that I marked off one by one whether the kids understood them or not. I used really “great” methods and math terminology like “butterfly method”, “keep […]

On Remedial Math

Ron Schacter Many of the graduates entering college from New York’s Hampton Bays High School in 2011 weren’t ready for higher education math. At neighboring Suffolk County Community College, 68 percent of the first-year students from Hampton Bays had to take remedial math. “These numbers were horrifying to us and created a real sense of […]

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 […]

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 […]

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

Joseph Brean: In a finding sure to inflame the math wars, a team of neuroscientists has revealed the crucial role played by rote memorization in the growing brains of young math students. Memorizing the answers to simple math problems, such as basic addition or the multiplication tables, marks a key shift in a child’s cognitive […]

21% of University of Wisconsin System Freshman Require Remedial Math

Karen Herzog: Regent Margaret Farrow said K-12 must be a strong partner in preparing high school students for college. “We’re not, quite frankly, creating this situation we’re trying to solve.” Starting next year, all 11th graders in Wisconsin pubic schools will be required to take the ACT college-readiness exam that universities use in their admissions […]

America’s Math Crisis

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

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

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

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

Michael Rubinkam: What could be so horrible? Grade-school math. As schools around the U.S. implement national Common Core learning standards, parents trying to help their kids with math homework say that adding, subtracting, multiplying and dividing has become as complicated as calculus. They’re stumped by unfamiliar terms like “rectangular array” and “area model.” They wrestle […]

Solve math problems with logic

Manila Standard Today:

An educational and enrichment workshop was recently conducted by the Galileo Enrichment Learning Program where the multi-awarded mathematician and Singapore Math advocate Dr. Queena Lee-Chua together with her son Scott, shared with the participants the fundamentals of Singapore Math and demonstrated how this fun learning approach is used to solve word problems.
Multi-awarded mathematician and Singapore Math advocate Dr. Queena Lee-Chua shared with the participants the fundamentals of Singapore Math and demonstrates how this fun-learning approach is used to solve word problems.
The workshop, held at Nuvali Evoliving AVR, Sta. Rosa City, Laguna, was organized by Galileo Sta. Rosa, attended by parents and their kids, as well as by teachers from different pre-schools and elementary schools in and outside Manila. It was indeed an enlightening and engaging time for everyone as the mother and son tandem proved to the audience that complex mathematical problems can be solved with simple math logic.

Much more on Singapore Math, here.
Related: Math Forum Audio/Video.

The Surprising Impact of High School Math on Job Market Outcomes

Jon James:

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

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

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

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:

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

John O’Connor:

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

Related: Math forum audio/video.

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

Susan Schwartz Wildstrom:

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

Related: Math Forum audio & video.

Math…. “Introducing the 97-Month Car Loan”

Mike Ramsey:

Last month Nakisha Bishop took out a loan to buy a $23,000 Toyota Camry and pay off several thousand dollars still owed on her old car. The key to making it work: she got more than six years–75 months in all–to pay it off.
“I had a new baby on the way, and I was trying to keep my monthly payment a little bit lower to help afford child care,” Ms. Bishop, a 34-year-old sheriff’s deputy in Palm Beach County, Fla., said recently. She pays $480 a month for the 2013 Camry, just $5 a month more than the note on her old car. The car won’t be paid off until her 1-month-old daughter is heading to first grade.
Ms. Bishop’s 75-month loan illustrates two important trends rippling through the U.S. auto industry. Rising new-car prices and competition among lenders to attract borrowers is pushing loans to lengthier terms. In part, banks see the longer terms as a way to attract buyers, by keeping monthly payments under $500 a month.

Related: Math Forum.

It’s Time to Turn the Page on Math in Seattle Schools

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.

A Math Teacher on Common Core Standards

Stephanie Sawyer, via a kind reader’s email:

I don’t think the common core math standards are good for most kids, not just the Title I students. While they are certainly more focused than the previous NCTM-inspired state standards, which were a horrifying hodge-podge of material, they still basically put the intellectual cart before the horse. They pay lip service to actually practicing standard algorithms. Seriously, students don’t have to be fluent in addition and subtraction with the standard algorithms until 4th grade?
I teach high school math. I took a break to work in the private sector from 2002 to 2009. Since my return, I have been stunned by my students’ lack of basic skills. How can I teach algebra 2 students about rational expressions when they can’t even deal with fractions with numbers?
Please don’t tell me this is a result of the rote learning that goes on in grade- and middle-school math classes, because I’m pretty sure that’s not what is happening at all. If that were true, I would have a room full of students who could divide fractions. But for some reason, most of them can’t, and don’t even know where to start.
I find it fascinating that students who have been looking at fractions from 3rd grade through 8th grade still can’t actually do anything with them. Yet I can ask adults over 35 how to add fractions and most can tell me. And do it. And I’m fairly certain they get the concept. There is something to be said for “traditional” methods and curriculum when looked at from this perspective.
Grade schools have been using Everyday Math and other incarnations for a good 5 to 10 years now, even more in some parts of the country. These are kids who have been taught the concept way before the algorithm, which is basically what the Common Core seems to promote. I have a 4th grade son who attends a school using Everyday Math. Luckily, he’s sharp enough to overcome the deficits inherent in the program. When asked to convert 568 inches to feet, he told me he needed to divide by 12, since he had to split the 568 into groups of 12. Yippee. He gets the concept. So I said to him, well, do it already! He explained that he couldn’t, since he only knew up to 12 times 12. But he did, after 7 agonizing minutes of developing his own iterated-subtraction-while-tallying system, tell me that 568 inches was 47 feet, 4 inches. Well, he got it right. But to be honest, I was mad; he could’ve done in a minute what ended up taking 7. And he already got the concept, since he knew he had to divide; he just needed to know how to actually do it. From my reading of the common core, that’s a great story. I can’t say I feel the same.
If Everyday Math and similar programs are what is in store for implementing the common core standards for math, then I think we will continue to see an increase in remedial math instruction in high schools and colleges. Or at least an increase in the clientele of the private tutoring centers, which do teach basic math skills.

Related links: Math Forum.

In L.A., inexperienced teachers more likely to be assigned to students behind in math, study says

Teresa Watanabe:

A new study has found that inexperienced teachers in the Los Angeles Unified School District are disproportionately more likely to be assigned to lower-performing math students, perpetuating the achievement gap.
The study also found that L.A. Unified teachers “vary substantially” in their effectiveness, with top teachers able to give students the equivalent of eight additional months of learning in a year compared with weaker instructors.
Such findings raise “deep concerns,” said Drew Furedi, the district’s executive director of talent management, who oversees teacher training. “For us, it’s a call to action.”
The study by the Strategic Data Project, which is affiliated with Harvard University’s Center for Education Policy Research, analyzed the performance of about 30% of L.A. Unified teachers and presented findings based primarily on students’ standardized math test scores from 2005 through 2011 in grades three through eight. The study’s authors acknowledged that test scores were only one measure of teacher effectiveness.
….
The study also found:
Teacher effects vary substantially in LAUSD, more than in many other districts. The difference between a 25th and 75th percentile elementary math teacher is over one-quarter of a standard deviation, which is roughly equivalent to a student having eight additional months of instruction in a calendar year.
Teach for America and Career Ladder teachers have higher math effects on average than other novices in their first year by 0.05 and 0.03 standard deviations respectively, which is roughly equivalent to one to two months of additional learning. These differences persist over time
The performance of math teachers improved quickly in the first five years, then leveled off.
Those with advanced degrees were no more effective than those without, although L.A. Unified pays more to teachers pursuing such degrees.
Long-term substitute teachers — who have been employed more frequently to fill in amid widespread layoffs — have positive effects in teaching middle-school math

View the complete 1.4MB PDF study, here.
Related: Math forum audio/video.