Category Archives: Curriculum – Math

Bidding Adieu to the Madison School Board; “Facts are an Obstacle to the Reform of America”

Lucy Mathiak, via a kind email:

Dear Friends,
I am writing to thank you for your encouragement and support in my decision to seek election to the MMSD Board of Education in late fall 2005. Your help in getting elected, your support during tough times, and your help in finding solutions to problems, have made a great difference to my service on the board.
I am writing to let you know that I will not seek re-election in 2012. I continue to believe that the Board of Education is one of the most important elected positions for our community and its schools, and encourage others to step forward to serve in this capacity. MMSD is facing significant challenges, and it is more important than ever that thoughtful citizens engage in the work that will be needed to preserve the traditional strengths of our public schools while helping those schools to change in keeping with the times and the families that they serve.
At the same time, I do not view school board service as a career, and believe that turnover in membership is healthy for the organization and for the district. I have been fortunate to have had an opportunity to serve on this board, and to work with many fine community organizations in that capacity. For that I am grateful.
Again, thank you for your interest, support, and collegiality.
Lucy J. Mathiak
716 Orton Ct.
Madison, WI 53703
Madison School Board
Seat #2

I am appreciative of Lucy’s tireless and often thankless work on behalf of our students.
Every organization – public or private, deteriorates. It is often easier to spend more (raise taxes), raise fees on consumers – or a “rate base”, reduce curricular quality and in general go along and get along than to seek substantive improvements. Change is hard.
Citizens who seek facts, ask difficult and uncomfortable questions are essential for strong institutions – public or private. Progress requires conflict.
Yet, very few of us are willing to step into the theatre, spend time, dig deep and raise such questions. I am thankful for those, like Lucy, who do.
Her years of activism and governance have touched numerous issues, from the lack of Superintendent oversight (related: Ruth Robarts) (that’s what a board does), the District’s $372M+ budget priorities and transparency to substantive questions about Math, reading and the endless battle for increased rigor in the Madison Schools.
In closing, I had an opportunity to hear Peter Schneider speak during a recent Madison visit. Schneider discussed cultural differences and similarities between America and Germany. He specifically discussed the recent financial crisis. I paraphrase: “If I do not understand a financial vehicle, I buy it”. “I create a financial product that no one, including me, understands, I sell it”. This is “collective ignorance”.
Schneider’s talk reminded me of a wonderful Madison teacher’s comments some years ago: “if we are doing such a great job, why do so few people vote and/or understand civic and business issues”?
What, then, is the payoff of increased rigor and the pursuit of high standards throughout an organization? Opportunity.
I recently met a technical professional who works throughout the United States from a suburban Madison home. This person is the product of a very poor single parent household. Yet, high parental standards and rigorous academic opportunities at a somewhat rural Wisconsin high school and UW-Madison led to an advanced degree and professional opportunities.
It also led to a successful citizen and taxpayer. The alternative, as discussed in my recent conversation with Madison Mayor Paul Soglin is growth in those who don’t contribute, but rather increase costs on society.
Lucy will be missed.

Madison Math Circle for Middle & High School Students

Gheorghe Craciun, via a kind email:

We have started the “Madison Math Circle” for interested middle and high school students (please see more details below, or at https://www.math.wisc.edu/wiki/index.php/Madison_Math_Circle ), but we are having some trouble advertising it.
Prof. Steffen Lempp told me that you might be able to help us.
Thank you very much!
Best,
George

Fran, Henderson & Pingry, and Me: A Tale of Problems vs Exercises

Barry Garelick, via email:

Fran, by Way of Introduction
My high school algebra 2 class which I had in the fall of 1964, was notable for a number of things. One was learning how to solve word problems. Another was a theory that most problems we encountered in algebra class could be solved with arithmetic. Yet another was a girl named Fran who I had a crush on.
Fran professed to not like algebra or the class we were in, and found word problems difficult. On a day I had occasion to talk to her, I tried to explain my theory that algebra was like arithmetic but easier. Admittedly, my theory had a bit more to go. She appeared to show some interest, but she wasn’t interested. On another occasion I asked her to a football game, but she said she was washing her hair that day. Although Fran had long and beautiful black hair, and I wanted to believe that she had a careful and unrelenting schedule for washing it, I resigned myself to the fact that she would remain uninterested in me, algebra, and any theories about the subject.
My theory of arithmetic vs. algebra grew from a realization I had during that the problems that were difficult for me years ago when I was in elementary school were now incredibly easy using algebra. For example: $24 is 30% of what amount? In arithmetic this involved setting up a proportion while in algebra, it translated directly to 24 = 0.3x, thus skipping the set up of the ratio 24/30 = x/100. Similarly, it was now much easier to understand that an increase in cost by 25% of some amount could be represented as 1.25x. What had been problems before were now exercises; being able to express quantities algebraically made it obvious what was going on. It seemed I was on to something, but I wasn’t quite sure what.

Open Content Mathematics Curriculum

University of Puget Sound:

This is an evolving description of books and software that could be used to design a totally open undergraduate mathematics curriculum. This is meant to be a selective list, so you can consider these to be personal recommendations, not just links I’ve found promising. As such there will be a limited number of entries in each category. The first criteria in selecting texts is that preference will be given to those that are truly free – as in free to copy, free to modify, free to distribute, free to sell. For example, a text that prohibits commercial use does not have full freedom. Licensing terms are summarized for each item. The second criteria is that I have to have some reason to believe the text is accurate and has a selection of content that is in line with typical university courses.
First some comprehensive software, then lower-division (including introductory programming), concluding with upper-division (alphabetically by subject). Suggestions are encouraged, especially for empty categories or books you have used in a course, but inclusion is subject to the above discussion.

50 percent of all high school courses will be taken online by 2019

Clayton M. Christensen and Michael B. Horn:

As a disruptive innovation–an innovation that transforms a sector from one that was previously complicated and expensive into one that is far simpler and more affordable–the rise of online learning carries with it an unprecedented opportunity to transform the schooling system into a student-centric one that can affordably customize for different student needs by allowing all students to learn at their appropriate pace and path, thereby allowing each student to realize her fullest potential.
Whether it does this in the coming years will depend on several variables.
Entrepreneurs and investors–both for-profit and non-profit–are doing their part, as they seek to fashion the future by solving the problems they see students and teachers struggling with today.
Some, like those at Los Altos School District and Rocketship Education, are creating new learning and schooling models and liberating students and teachers.

State residents rank among most fiscally responsible

Paul Gores:

When it comes to creditworthiness, it’s hard to top the consumers of Wisconsin.
Four Wisconsin cities – including Wausau at No. 1 – are among the 10 communities in the nation with the highest average credit scores, a new survey shows.
Wausau residents posted an average credit score of 789 in the survey conducted by the credit-rating agency Experian. Madison was third, at 785; Green Bay sixth, at 780; and La Crosse 10th, at 777.
Milwaukee, with a score of 765, was 33rd of 143 cities included in the survey.
“Wisconsin residents remain among the nation’s most fiscally responsible,” Experian stated Tuesday in announcing the survey results.
Higher credit scores generally give consumers the ability to borrow money at lower interest rates.

Common-Core Math Standards Don’t Add Up

Grant Wiggins, via a kind reader

There is little question in my mind that national standards will be a blessing. The crazy quilt of district and state standards will become more rational, student mobility will stop causing needless learning hardships, and the full talents of a nation of innovators will be released to develop a vast array of products and services at a scale that permits even small vendors to compete to widen the field to all educators’ benefit.
That said, we are faced with a terrible situation in mathematics. In my view, unlike the English/language arts standards, the mathematics components of the Common Core State Standards Initiative are a bitter disappointment. In terms of their limited vision of math education, the pedestrian framework chosen to organize the standards, and the incoherent nature of the standards for mathematical practice in particular, I don’t see how these take us forward in any way. They unwittingly reinforce the very errors in math curriculum, instruction, and assessment that produced the current crisis.

One wonders what became of the Madison School Districts Math Task Force?

How Smartphones Could Revolutionize Scientific Experiments

Nick Clayton:

Cognitive psychology is, broadly, the study of mental processes almost as if the human mind was a type of computer. It is generally a highly empirical academic discipline relying on experimentation to study faculties such as language, attention and memory. It could be revolutionized by smartphones.
The current problem, according to a paper in peer-reviewed publication PLoS One, is that experiments usually rely on groups of volunteers coming to a research facility. By using smartphone technology instead, data could be collected from thousands of subjects across the world.
The paper comes from an international group of researchers who have been running a classic experiment which asks users to distinguish rapidly between words and non-words. (Its results can be used, for example, in the diagnosis of reading impairments.) Participants in the experiment downloaded a free app from iTunes to use on their iPhone or iPad.

Bringing the Common Core State Mathematics Standards to Life

Hung-Hsi Wu, via Richard Askey:

Many sets of state and national mathematics stan- dards have come and gone in the past two decades. The Common Core State Mathematics Standards (CCSMS), which were released in June of 2010,*have been adopted by almost all states and will be phased in across the nation in 2014. Will this be another forgettable stan- dards document like the overwhelming majority of the others?
Perhaps. But unlike the others, it will be a travesty if this one is forgotten. The main difference between these standards and most of the others is that the CCSMS are mathematically very sound overall. They could serve–at long last–as the foundation for creating proper school mathematics textbooks and dramatically better teacher preparation.
Before the CCSMS came along, America long resisted the idea of commonality of standards and curriculum–but it did not resist such commonality in actual classrooms. Despite some politicians’ rhetoric extolling the virtues of local control, there has been a de facto national mathematics curriculum for decades: the curriculum defined by the school mathematics textbooks. There are several widely used textbooks, but mathe- matically they are very much alike. Let’s call this de facto math- ematics curriculum Textbook School Mathematics (TSM).1

Math Curriculum: School District’s Activities Should be an Open Book

Laurie Rogers:

Since January 2007, I’ve attempted repeatedly and in myriad ways to persuade Spokane Public Schools‘ leadership to provide teachers with good math materials so that our children will gain sufficient basic math skills. It’s an effort you’d think would be welcome, respected, and relatively painless. Alas.
In 2008, after repeated failed efforts to get a conversation going with the district or with the daily newspaper, I decided to take that conversation public. Thus was born my blog, Betrayed. Shortly after that, I began writing my book, Betrayed: How the Education Establishment Has Betrayed America and What You Can Do about it. The book was published in January 2011, and shortly thereafter, I worked with two professionals to hold public forums in Spokane and talk directly with the people. The district leadership does not appear to appreciate my efforts to inform the people and try to get the children the mathematics they need.
A school district’s activities should be an open book to the community that pays for them. My blog, book and advocacy all required thorough and accurate information. Therefore, over these nearly five years of effort, I’ve had to file public records requests with the district in order to obtain pertinent information that wasn’t available in any other venue. For records other than internal district communications, my searches usually went like this:

He shattered mathematics with a single number

Marcus Chown:

TWO plus two equals four: nobody would argue with that. Mathematicians can rigorously prove sums like this, and many other things besides. The language of maths allows them to provide neatly ordered ways to describe everything that happens in the world around us.
Or so they once thought. Gregory Chaitin, a mathematics researcher at IBM’s T. J. Watson Research Center in Yorktown Heights, New York, has shown that mathematicians can’t actually prove very much at all. Doing maths, he says, is just a process of discovery like every other branch of science: it’s an experimental field where mathematicians stumble upon facts in the same way that zoologists might come across a new species of primate.
Mathematics has always been considered free of uncertainty and able to provide a pure foundation for other, messier fields of science. But maths is just as messy, Chaitin says: mathematicians are simply acting on intuition and experimenting with ideas, just like everyone else. Zoologists think there might be something new swinging from branch to branch in the unexplored forests of Madagascar, and mathematicians have hunches about which part of the mathematical landscape to explore. The subject is no more profound than that.

Texas Students of all backgrounds outperform Wisconsin Students

Allison Sherry, via a kind reader’s email

While Perry has been outspoken against the Common Core, he and his education commissioner have pulled the quality of Texas tests up to a level respected among education reformers. Test scores among kids of all racial and ethnic backgrounds are higher in Texas than in Wisconsin, for example, which has fewer students qualifying for free- and reduced-price lunch.
Though Perry will probably make this point on the campaign trail, he’s not likely to promise to take over the nation’s schools. On the contrary, he’ll likely pick up on his recent call to repeal No Child Left Behind and let states take charge of their education systems. In his book released last year, Fed Up! Our Fight to Save America from Washington, Perry argues that Washington has taken power away from states. At a speech in November in Washington, Perry took aim at two of former President Bush’s signature accomplishments, No Child Left Behind and the Medicare drug benefit program, saying they were examples of areas in which Washington need not be.
“Those are both big government but more importantly, they were Washington-centric,” he told the Dallas Morning News. “One size does not fit all, unless you’re talking tube socks.”

National Center for Education Statistics State Education Data Profiles.
much more at www.wisconsin2.org

The Myth About Traditional Math Education

Barry Garelick, via email:

The education establishment commits to fads like group and collaborative learning, but Garelick says they shouldn’t ignore and misinterpret traditional math.
Most discussions about mathematics and how best to teach it in the K-12 arena break down to the inevitable bromides about how math was traditionally taught and that such methods were ineffective. The conventional wisdom on the “traditional method” of teaching math is often heard as an opening statement at school board meetings during which parents are protesting the adoption of a questionable math program: “The traditional method of teaching math has failed thousands of students.” A recent criticism I read expanded on this notion and said that it wasn’t so much the content or the textbooks (though he states that they were indeed limited) but the teaching was “too rigid, too inflexible, too limited, and thus failed to adequately address the realities of educating a large, diverse, and rapidly changing population during decades of technological innovation and social upheaval.”
There is some confusion when talking about “traditional methods” since traditional methods vary over time. Textbooks considered traditional for the last ten years, for example, are quite different than textbooks in earlier eras. For purposes of this discussion, I would like to confine “traditional” to methods and textbooks in use in the 40′s, 50′s and 60′s. And before we get to the question about teaching methods, I want to first talk about the textbooks in use during this time period. A glance at the textbooks that were in use over these years shows that mathematical algorithms and procedures were not taught in isolation in a rote manner as is frequently alleged. In fact, concepts and understanding were an important part of the texts. Below is an excerpt from a fifth grade text of the “Study Arithmetic” series (Knight, et. al. 1940):

IXL Learning

ixl.com

Practice makes perfect, and IXL makes math practice fun! IXL allows teachers and parents to monitor the progress of their students and motivate them through interactive games and practice questions. Widely recognized as the Web’s most comprehensive math site, IXL offers a dynamic and enjoyable environment for children to practice math. Students who use IXL are succeeding like never before.

Rick Hess’s Critique of Achievement-Gap Mania

By Reihan Salam
I’ve been eagerly awaiting the release of the latest issue of National Affairs, which includes Rick Hess’s fascinating and at times provocative discussion, or perhaps I say “devastating takedown,” of “achievement-gap mania.” The following paragraph gives you a hint as to Hess’s conclusion:

In essence, NCLB was an effort to link “conservative” nostrums of accountability to Great Society notions of “social justice.” The result was a noble exercise hailed for its compassion. The sad truth, however, is that the whole achievement-gap enterprise has been bad for schooling, bad for most children, and bad for the nation.


I found his discussion of the neglect of advanced and gifted education particularly convincing, as well as his recounting of how the “delusion of rigor” has undermined quality control across many domains. Hess ends his essay with an accounting of where “achievement-gap mania” has left the politics of K-12.
(1) Reforming education has become someone else’s problem:

First, achievement-gap mania has signaled to the vast majority of American parents that school reform isn’t about their kids. They are now expected to support efforts to close the achievement gap simply because it’s “the right thing to do,” regardless of the implications for their own children’s education. In fact, given that only about one household in five even contains school-age children — and given that two-thirds of families with children do not live in underserved urban neighborhoods, or do not send their kids to public schools, or otherwise do not stand to benefit from the gap-closing agenda — the result is a tiny potential constituency for achievement-gap reform, made up of perhaps 6% or 7% of American households.
Because middle-class parents and suburbanites have no personal stake in the gap-closing enterprise, reforms are tolerated rather than embraced. The most recent annual Gallup poll on attitudes toward schooling reported that just 20% of respondents said “improving the nation’s lowest-performing schools” was the most important of the nation’s education challenges. Indeed, while just 18% of the public gave American schools overall an A or a B, a sizable majority thought their own elementary and middle schools deserved those high grades. The implication is that most Americans, even those with school-age children, currently see education reform as time and money spent on other people’s children.


(2) Reforming education for the majority of students who come non-poor families is seen as somehow unnecessary:

Second, achievement-gap mania has created a dangerous complacency, giving suburban and middle-class Americans the false sense that things are just fine in their own schools. Thus it’s no surprise that professionals and suburbanites tend to regard “reforms” — from merit pay to charter schooling — as measures that they’ll tolerate as long as they’re reserved for urban schools, but that they won’t stand for in their own communities. …
Gap-closing strategies can be downright unhelpful or counterproductive when it comes to serving most students and families, and so can turn them off to education reform altogether. Longer school years and longer school days can be terrific for disadvantaged students or low achievers, but may be a recipe for backlash if imposed on families who already offer their kids many summer opportunities and extracurricular activities. Policies that seek to shift the “best” teachers to schools and classrooms serving low-achieving children represent a frontal assault on middle-class and affluent families. And responding to such concerns by belittling them is a sure-fire strategy for ensuring that school reform never amounts to more than a self-righteous crusade at odds with the interests of most middle-class families.


This is one reason why Hess rightly bristled at the crusader mentality that informs films like the recent Waiting for ‘Superman.’

Continue reading Rick Hess’s Critique of Achievement-Gap Mania

Rapid Improvments in K-12 Math Education Are Possible

Cliff Mass:

One of the most frustrating aspects of working on the improvement of math education is dealing with an educational establishment that makes decisions based on fads and opinions rather than empirical facts.
Now, let us accept that there are different approaches to teaching mathematics, with a major divide between the “reform, discovery approaches” and the more “traditional, direct instruction” approaches. Reform/discovery approaches became the rage among the educational community in the 1990s and I believe it is a major, but not sole, reason that math performance has lagged.
As a scientist, it would seem to me that the next step is clear: test a variety of curriculum approaches in the classroom, insuring the class demographics are similar, and find out what works best. In short, do a carefully controlled experiment with proper statistics and find the truth in an empirical way. But what frustrates me is that such experimentation is virtually never done by the educational bureaucracy. They seem to go from fad to fad and student progress suffers. Reform math, Integrated Math, Teach for America, Whole Language, and many more.

Brainwave controllers: Put your thinking cap on

The Economist:

THE idea of moving objects with the power of the mind has fascinated mankind for millennia. At first it was the province of gods, then sorcerers and witches. In the late 19th century psychokinesis, as the trick then came to be known, became a legitimate object of study, as part of the nascent field of parapsychology, before falling into disrepute in the arch-rationalist 20th century. Since the 1990s, however, it has seen something of a revival, under a more scientifically acceptable guise.
There is nothing particularly magical about moving things with thoughts. Human beings perform the feat every time they move a limb, or breathe, by sending electrical impulses to appropriate muscles. If these electrical signals could be detected and interpreted, the argument goes, there is in principle no reason why they could not be used to steer objects other than the thinker’s own body. Indeed, over the past two decades brain-computer interfaces (BCIs) which use electrodes implanted in the skull have enabled paralysed patients to control computer cursors, robotic arms and wheelchairs.

Lies, damn lies and the myth of “standardized” tests

Marda Kirkwood:

[Note from Laurie Rogers: Recently, results from the 2011 state standardized test scores came out, and the general impression given to the public — for example from the state education agency (OSPI) and from media in Seattle and in Spokane — was that improvements had been made. It’s all in the definitions: How do you define “improvement”? Did some of the numbers go up? Assuredly. Did that mean that real improvments in real academic knowledge had been made? It’s best to remain skeptical.
Most students in Spokane are as weak in math skill this year as they were last year. Given a proper math test that assesses for basic skills, many high schoolers still test into 4th or 5th-grade math. College remedial rates are still high. Parents are still frantic, and students are still stressed out about math. So … what do those higher scores actually mean? I’ve been trying to find out. It’s hard to say.

Building the largest Chess AI ever

Sylvain Zimmer:

Many people are familiar with the SETI@home project: a very large scale effort to search for patterns from alien civilizations in the ocean of data we receive from the sky, using the computing power of millions of computers around the globe (“the grid”).
SETI@home has been a success, obviously not in finding aliens, but in demonstrating the potential of large-scale distributed computing. Projects like BOINC have been expanding this effort to other fields like biology, medicine and physics.
Last weekend, a team at Joshfire (Thomas, Nathan, Mickael and myself) participated in a 48-hour coding contest called Node Knockout. Rules were simple: code the most amazing thing you can in the weekend, as long as it uses server-side JavaScript.

California’s Math Pipeline: The Grade 7 Pivot Point

EdSource:

For students to be career- and college-ready when they complete high school, they must build a strong base of mathematics knowledge. The end of 7th grade provides an important moment to assess how prepared California’s students are to succeed in the more advanced math curriculum that starts with algebra.
California’s 1997 academic content standards in mathematics outline the stepping stones to algebra, and the Grade 7 Mathematics California Standards Test (CST) provides a benchmark measure of students’ readiness.
In addition, 7th grade is the point where students’ math course-taking paths clearly begin to diverge:

Web of Science

Thompson Reuters:

Web of Science ® provides researchers, administrators, faculty, and students with quick, powerful access to the world’s leading citation databases. Authoritative, multidisciplinary content covers over 10,000 of the highest impact journals worldwide, including Open Access journals and over 110,000 conference proceedings. You’ll find current and retrospective coverage in the sciences, social sciences, arts, and humanities, with coverage available to 1900.
Overcome information overload and focus on essential data across 256 disciplines.

America is losing another generation to science illiteracy

Margaret Honey:

Steven Brill has it exactly right when he says that “our nation’s economy, security, and core values depend on [the] success” of our public schools.
That’s what President George W. Bush had in mind when he signed “No Child Left Behind” into law in 2001. Signaling his strong concerns about that legislation’s shortcomings, it is also why Education Secretary Arne Duncan announced earlier this month that he would override the requirement under No Child Left Behind that 100 percent of students be proficient in math and reading by 2014.
Mr. Duncan said he is waiving the law’s proficiency requirements for states that have adopted their own testing and accountability programs and are making other strides toward better schools. Without the waivers, he said, 80 percent of American schools would get failing grades under the law.
But No Child Left Behind has an even more pernicious effect – it is discouraging the teaching of science courses, particularly at the elementary level, at a time when America needs them the most. What is more central to our current economy, security and core values than science? Where would we be without Google and Apple, stealth technology, gene-based therapy, and high-tech prosthetics?

The Community of Math Teachers, from Elementary School to Graduate School

Sybilla Beckmann:

Why should mathematicians be in- terested and involved in pre-K-12 mathematics education? What are the benefits of mathematicians working with school teachers and mathematics educators?1 I will answer these questions from my perspective of research math- ematician who became interested in mathematics education, wrote a book for prospective elemen- tary teachers, and taught sixth-grade math a few years ago. I think my answers may surprise you because they would have surprised me not long ago.
It’s Interesting!
If you had told me twenty-five years ago, when I was in graduate school studying arithmetic geometry, that my work would shift toward improving pre-K- 12 mathematics education, I would have told you that you were crazy. Sure, I would have said, that is important work, it’s probably hard, and somebody needs to do it, but it doesn’t sound very interesting. Much to my surprise, this is the work I am now fully engaged in. It’s hard, and I believe what I’m doing is useful to improving education, but most surprising of all is how interesting the work is.
Yes, I find it interesting to work on improving pre-K-12 math! And in retrospect, it’s easy to see how it could be interesting. Math at every level is beautiful and has a wonderful mixture of intri- cacy, big truths, and surprising connections. Even preschool math is no exception.

Report: Florida’s low-income tax credit students making academic gains

Jon East:

A new report on the academic performance of low-income students receiving Tax Credit Scholarships in Florida finds they are making modestly larger gains in reading and math than their counterparts in public school.
That conclusion from 2009-10 test data is encouraging for those of us who work to provide these learning options, which served 34,550 low-income students statewide last year. But the report, released today and written by respected Northwestern University researcher David Figlio, is also a reminder of the inherent complexities of judging whether these programs work.

Steps Toward Artificial Intelligence

Marvin Minsky:

The work toward attaining “artificial intelligence” is the center of considerable computer research, design, and application. The
field is in its starting transient, characterized by many varied and independent efforts. Marvin Minsky has been requested to draw this work together into a coherent summary, supplement it with appropriate explanatory or theoretical noncomputer information, and introduce his assessment of the state of the art. This paper emphasizes the class of activities in which a general-purpose computer, complete with a library of basic programs, is further programmed to perform operations leading to ever higher-level information processing functions such as learning and problem solving. This informative article will be of real interest to both the general Proceedings reader and the computer specialist. — The Guest Editor.
Summary: The problems of heuristic programming–of making computers solve really difficult problems–are divided into five main areas: Search, Pattern-Recognition, Learning, Planning, and Induction. Wherever appropriate, the discussion is supported by extensive citation of the literature and by descriptions of a few of the most successful heuristic (problem-solving) programs constructed to date.

Why Math Works

Mario Livio:

Most of us take it for granted that math works–that scientists can devise formulas to describe subatomic events or that engineers can calculate paths for space­craft. We accept the view, initially espoused by Galileo, that mathematics is the language of science and expect that its grammar explains experimental results and even predicts novel phenomena.
The power of mathematics, though, is nothing short of astonishing. Consider, for example, Scottish physicist James Clerk Maxwell’s famed equations: not only do these four expressions summarize all that was known of electromagnetism in the 1860s, they also anticipated the existence of radio waves two decades before German physicist Heinrich Hertz detected them. Very few languages are as effective, able to articulate volumes’ worth of material so succinctly and with such precision. Albert Einstein pondered, “How is it possible that mathematics, a product of human thought that is independent of experience, fits so excellently the objects of physical reality?”

Globally Challenged: Wisconsin Lags 12 States & Numerous Countries in Math Proficiency





Paul E Peterson, Ludger Woessmann, Eric A. Hanushek, Carlos X. Lastra-Anadon, via a Chan Stroman email:

Given recent school-related political conflicts in Wisconsin, it is of interest that only 42 percent of that state’s white students are proficient in math, a rate no better than the national average.
At a time of persistent unemployment, especially among the less skilled, many wonder whether our schools are adequately preparing students for the 21st-century global economy. This is the second study of student achievement in global perspective prepared under the auspices of Harvard’s Program on Education Policy and Governance (PEPG).
In the 2010 PEPG report, “U.S. Math Performance in Global Perspective,” the focus was on the percentage of U.S. public and private school students performing at the advanced level in mathematics.1 The current study continues this work by reporting the percentage of public and private school students identified as at or above the proficient level (a considerably lower standard of performance than the advanced level) in mathematics and reading for the most recent cohort for which data are available, the high-school graduating Class of 2011.
Proficiency in Mathematics
U.S. students in the Class of 2011, with a 32 percent proficiency rate in mathematics, came in 32nd among the nations that participated in PISA. Although performance levels among the countries ranked 23rd to 31st are not significantly different from that of the United States, 22 countries do significantly outperform the United States in the share of students reaching the proficient level in math.
In six countries plus Shanghai and Hong Kong, a majority of students performed at the proficient level, while in the United States less than one-third did. For example, 58 percent of Korean students and 56 percent of Finnish students were proficient. Other countries in which a majority–or near majority–of students performed at or above the proficient level included Switzerland, Japan, Canada, and the Netherlands. Many other nations also had math proficiency rates well above that of the United States, including Germany (45 percent), Australia (44 percent), and France (39 percent).

Much more at www.wisconsin2.org.

Double degree adds up for Hong Kong maths prodigy

Peter So:

The wonderkid who at nine became the city’s youngest undergraduate four years ago completed his bachelor’s and master’s programme this week at the age of 13.
March Boedihardjo will now head off to the United States for a research programme and, possibly, a doctorate. The youngster was admitted to Baptist University’s double-degree programme in mathematical science in 2007, finishing it in four years – a year early. March said he really enjoyed his university years, despite earlier concerns about how such a young boy would adapt to the life.

Judge rules Memphis city schools to merge with county

Bill Mears:

Public schools in Memphis, Tennessee, will be consolidated with those of the surrounding county beginning in 2013-14, a federal judge ruled Monday. The decision ends for now a yearslong fight over funding that spilled into questions of race and politics.
The 146-page ruling from Judge Hardy Mays was prompted by a lawsuit and subsequent voter referendum in March that dissolved the Memphis City Schools charter.
“The Memphis City Schools has been abolished for all purposes except the winding down of its operations and the transfer of administration to the Shelby County Board of Education under the terms of Public Chapter 1 and Tennessee education law,” wrote Mays. He said the surrender of the city charter did not affect the validity of the city board’s actions up until now.

Business Schools Plan Leap Into Data

Melissa Korn & Shara Tibken:

Faced with an increasing stream of data from the Web and other electronic sources, many companies are seeking managers who can make sense of the numbers through the growing practice of data analytics, also known as business intelligence. Finding qualified candidates has proven difficult, but business schools hope to fill the talent gap.
This fall several schools, including Fordham University’s Graduate School of Business and Indiana University’s Kelley School of Business, are unveiling analytics electives, certificates and degree programs; other courses and programs were launched in the previous school year.
International Business Machines Corp., which has invested more than $14 billion buying analytics industry companies such as Coremetrics and Netezza Corp. since 2005, has teamed up with more than 200 schools, including Fordham, to develop analytics curriculum and training.

The Kapors’ SMASH Academy is filling an education gap

Mike Cassidy:

Give a kid a chance and you’ll be amazed at what happens next.
That thought kept rolling through my mind as I surveyed the controlled chaos that was lunch for 80 teenagers who’d moved onto Stanford’s campus to take five summer weeks of intensive math and science courses.
I know. What’s so different about a passel of brilliant kids studying hard stuff at Stanford?
Well, for one thing, a pessimist might look at these particular kids working their way through hamburgers, chicken and mashed potatoes, and conclude that they are not college material. In fact, the vast majority of them would be the first in their families to go to college. Nearly all of them attend high schools where most students are poor enough to qualify for free or reduced-priced lunch. Some live in tough neighborhoods. Some dodge gangs on the way to and from school — and maybe even at school.
But that’s not what defines them. Not at all. The kids at Stanford, members of the inaugural class of the Silicon Valley version of the Summer Math and Science Honors Academy (SMASH), are energetic, optimistic, determined, resourceful and approaching brilliant.

At Sleepaway Camp, Math Is Main Sport

Rachel Cromidas

As camps go, the Summer Program in Mathematical Problem Solving might
sound like a recipe for misery: six hours of head-scratching math
instruction each day and nights in a college dorm far from home.But Mattie Williams, 13, who attends Middle School 343 in the Bronx, was
happy to attend, giving up summer barbecues with her parents and
afternoons in the park with her Chihuahua, Pepsi. She and 16 other
adolescents are spending three weeks at Bard College here in a free, new camp for low-income students who are gifted in mathematics.

All are entering eighth grade at New York City public middle schools
where at least 75 percent of the student body is eligible for free
lunches. And all love math. At this camp, asking “What kind of math do
you like, algebra or geometry?” is considered an appropriate icebreaker,
and invoking the newly learned term “the multiplication principle”
elicits whoops and high-fives.

In a Bard classroom one afternoon, it seemed for a moment that Arturo
Portnoy had stumped everyone. Dr. Portnoy, a math professor visiting
from the University of Puerto Rico, posed this question: “The length of a
rectangle is increased by 10 percent and the width is decreased by 10
percent. What percentage of the old area is the new area?” The 17 campers whispered and scribbled. One crumpled his paper into a
ball. Mattie Williams may have looked as if she was doodling as she drew
dozens of tiny rectangles in her notebook, but she was hard at work on
the problem, which was taken from the American Mathematics Competitions,
a contest series known for its difficulty. In less than 10 minutes, she had the answer — 99 percent — and was ready for the next question.

For some schoolchildren, mathematics is a competitive sport, and summer
is the time for training — poring over test-prep books, taking practice
exams and attending selective math camps. But for students who cannot
afford such programs, or have not been exposed to many advanced math
concepts, the avenues to new skills are limited.

Daniel Zaharopol, the director of the camp at Bard,
is trying to change that. He has brought four math educators to the
Bard campus to teach the middle school students concepts as varied as
number theory and cryptography. Among the instructors is Mr. Portnoy, a
director of the Puerto Rico Mathematical Olympiads. The camp is financed by the Art of Problem Solving Foundation, the
nonprofit arm of an online school that promotes math education for gifted students. Classes meet in two-hour sessions and cover topics including voting theory, graph theory, and math and the arts.

Continue reading At Sleepaway Camp, Math Is Main Sport

US Education Perspective from a Tech CEO

The Financial Times:

Kevin Johnson, chief executive of Juniper Networks, one of the biggest network equipment makers, talks to the FT’s Paul Taylor about cloud computing, innovation, video and his worries about the failure of the US education system to produce home-grown talent

Top teacher: An Honor for Worcester South High’s Joseph Nystrom

James Niedzinski:

If you are passing through the halls of South High Community School in Worcester, you can always catch Joseph N. Nystrom as he high-fives students, cracks a joke and picks up crumpled pieces of paper in the hallway.
A teacher at South High for about 10 years, Mr. Nystrom is well-known for actions that grab students’ attention in an effort to focus them on learning and achievement. He started out as a substitute teacher and ended up making it his career.
He is the recent recipient of the All American Teacher of the Year Award, in the Massachusetts math division. He is one of 23 U.S. teachers honored by the National Math and Science Initiative. The awards recognize outstanding math, science and English teachers in NMSI’s Advanced Placement training and incentive program.

STEM Competition

Changemakers:

Submit your solutions, or nominate a project for this competition, before August 3, 2011, to create new opportunities for students and schools.
Please join us in congratulating the early-entry-prize winners for the competition!
STEM Lending Library and Resource Center
CONNECT-ED: Professional Development in Science and Mathematics
Out in Science, Technology, Engineering & Mathematics
Careerspotting 4 Kids
Remember, the deadline for all entries is 5PM EDT, August 3, 2011. Submit your entry to be eligible for the following prizes:
Winners Prizes: All entries must be submitted by 5PM EDT, August 3, 2011, to be eligible for the following prizes:

Writing About Math

Dan Berrett:

When course requirements at the Massachusetts Institute of Technology shifted 10 years ago, faculty members in the mathematics department found themselves with a new task in their job description. Not only did they have to teach their students to solve equations; they also had to instruct them in writing and communicating effectively on the subject.
This change in duties — which mirrored similar shifts in the teaching of discipline-specific writing at other institutions — gave rise to a host of new challenges, from the administrative to the pedagogic, said Haynes Miller, professor of math at MIT. The math faculty there had to learn how to teach the subject from a different perspective — one in which words, not just numbers and symbols, are given emphasis.

Advocating Teacher Content Knowledge: Lessons From Finland #1 – Teacher Education and Training

Bob Compton:

One of the many things I learned producing my film The Finland Phenomenon, was the importance of setting a very high standard for the education and training of teachers.
Finland’s high school teachers are required to have both a Bachelors and Masters degree in the subject they teach (e.g. – math, physics, history, etc) combined with one-year of pedagogical training with very heavy emphasis in real classroom teaching experience under the guidance of an outstanding seasoned teacher.
By contrast, most U.S. States require only a Bachelors degree from a college of education with an emphasis in the subject to be taught – and frequently that subject matter is taught by professors in the Education School, not in the actual subject department. Think of it as content and rigor “light” for teachers.
So, what should America do to apply this obvious lesson from Finland? My thoughts:
1- each U.S. State needs to cut off the supply of teachers not sufficiently prepared to teach this generation at its source. The source is colleges of education. A State legislature and Governor can change the requirements to be a teacher in their State. All it takes is courage to withstand the screams from colleges of education – the sacred cash cow of most universities.
2- To teach at the high school level, a State should require the prospective teacher to have at least an undergraduate degree in the subject they plan to teach and from the department that teaches that subject (e.g. – teaching math? Require a B.S. from the Math department).

Winners and losers in the Apple economy

Chrystia Freeland

Once upon a time, the car was the key to understanding the U.S. economy. Then it was the family home. Nowadays, it is any device created by Steven P. Jobs. Call it the Apple economy, and if you can figure out how it works, you will have a good handle on how technology and globalization are redistributing money and jobs around the world.
That was the epiphany of Greg Linden, Jason Dedrick and Kenneth L. Kraemer, a troika of scholars who have made a careful study in a pair of recent papers of how the iPod has created jobs and profits around the world. The latest paper, “Innovation and Job Creation in a Global Economy: The Case of Apple’s iPod,” was published last month in The Journal of International Commerce and Economics.
One of their findings is that in 2006 the iPod employed nearly twice as many people outside the United States as it did in the country where it was invented — 13,920 in the United States, and 27,250 abroad.
You probably aren’t surprised by that result, but if you are American, you should be a little worried. That is because Apple is the quintessential example of the Yankee magic everyone from Barack Obama to Michele Bachmann insists will pull America out of its job crisis — the remarkable ability to produce innovators and entrepreneurs. But today those thinkers and tinkerers turn out to be more effective drivers of job growth outside the United States than they are at home.

Florida Leads the Nation in the Percentage of High School Students Enrolled in High Level Classes; Some States Still Leave Low-Income Students Behind; Others Make Surprising Gains

by Sharona Coutts and Jennifer LaFleur:

Florida is a state of stark contrasts. Travel a few miles from the opulent mansions of Miami Beach and you reach desperately poor neighborhoods. There’s the grinding poverty of sugar cane country and the growing middle class of Jacksonville. All told, half the public-school students in Florida qualify for subsidized lunches. Many are the first in their families to speak English or contemplate attending college.
In many states, those economic differences are reflected in the classroom, with students in wealthy schools taking many more advanced courses.
The Opportunity Gap
But not in Florida. A ProPublica analysis of previously unreleased federal data shows that Florida leads the nation in the percentage of high-school students enrolled in high-level classes–Advanced Placement and advanced math. That holds true across rich and poor districts.
Studies repeatedly have shown that students who take advanced classes have greater chances of attending and succeeding in college.
Our analysis identifies several states that, like Florida, have leveled the field and now offer rich and poor students roughly equal access to high-level courses.
In Kansas, Maryland and Oklahoma, by contrast, such opportunities are far less available in districts with poorer families.
That disparity is part of what experts call the “opportunity gap.”

Wisconsin’s results are here, while Madison’s are here.

US Teachers’ Instructional Hours Among the Longest

Phil Izzo:

Students across the U.S. are enjoying or getting ready for summer vacation, but teachers may be looking forward to the break even more. American teachers are the most productive among major developed countries, according to Organization for Economic Cooperation and Development data from 2008 — the most recent available.

Among 27 member nations tracked by the OECD, U.S. primary-school educators spent 1,097 hours a year teaching despite only spending 36 weeks a year in the classroom — among the lowest among the countries tracked. That was more than 100 hours more than New Zealand, in second place at 985 hours, despite students in that country going to school for 39 weeks. The OECD average is 786 hours.

And that’s just the time teachers spend on instruction. Including hours teachers spend on work at home and outside the classroom, American primary-school educators spend 1,913 working in a year. According to data from the comparable year in a Labor Department survey, an average full-time employee works 1,932 hours a year spread out over 48 weeks (excluding two weeks vacation and federal holidays).

Curriculum is certainly worth a hard look.

Science’s 10 hottest fields

Clive Cookson:

Understanding the genome
The sequencing of the 6 billion chemical “letters” of human DNA was completed in draft in 2000 and in final form in 2003. But clinical benefits have arrived more slowly than the initial hype suggested. This is mainly because the human genome actually works in a much more complex way than predicted by the late-20th-century model.
Twenty-first-century research shows that we have only 21,000 genes, one-fifth of the number predicted when the project started, and that just 1.5 per cent of the genome consists of conventional protein-coding genes. Efforts are under way to understand the vital regulatory and other functions of the non-coding regions of the genome, once dismissed wrongly as “junk DNA”.

Encouraging Mathematical Thinking in Gifted Kids

Carol Fertig:

Parents, do you want to encourage your young people to think mathematically this summer and beyond? Here are some ways to accomplish that.
Preschoolers
Nurturing Mathematically Talented Preschoolers-In this blog entry, Natasha Chen shares her experience on parenting a mathematically precocious child. The author acknowledges that it can be difficult to find a program for three- to five-year-olds, so she offers some tips that she has found useful. Her suggestions include

A growing number of skeptics wonder whether college is worth the time or the cost

Bill Gross:

A mind is a precious thing to waste, so why are millions of America’s students wasting theirs by going to college? All of us who have been there know an undergraduate education is primarily a four year vacation interrupted by periodic bouts of cramming or Google plagiarizing, but at least it used to serve a purpose. It weeded out underachievers and proved at a minimum that you could pass an SAT test. For those who made it to the good schools, it proved that your parents had enough money to either bribe administrators or hire SAT tutors to increase your score by 500 points. And a degree represented that the graduate could “party hearty” for long stretches of time and establish social networking skills that would prove invaluable later on at office cocktail parties or interactively via Facebook. College was great as long as the jobs were there.
Now, however, a growing number of skeptics wonder whether it’s worth the time or the cost. Peter Thiel, an early investor in Facebook and head of Clarium Capital, a long-standing hedge fund, has actually established a foundation to give 20 $100,000 grants to teenagers who would drop out of school and become not just tech entrepreneurs but world-changing visionaries. College, in his and the minds of many others, is stultifying and outdated – overpriced and mismanaged – with very little value created despite the bump in earnings power that universities use as their raison d’être in our modern world of money.
Fact: College tuition has increased at a rate 6% higher than the general rate of inflation for the past 25 years, making it four times as expensive relative to other goods and services as it was in 1985. Subjective explanation: University administrators have a talent for increasing top line revenues via tuition, but lack the spine necessary to upgrade academic productivity. Professorial tenure and outdated curricula focusing on liberal arts instead of a more practical global agenda focusing on math and science are primary culprits.

Investing? With Kids? That’s A Good One

Karen Blumenthal:

Amid the frantic pace of daily family life, it seems almost comical to try to find time to discuss investing with our kids.
Honestly, who really wants to talk about mutual funds in the precious time you have when you’re all together?
Yet, many families find a way to share their values about money and investing from generation to generation, whether they’re offering tips on being smart shoppers, making the family budget stretch just enough or opening brokerage or savings accounts for youngsters.
In my Getting Going column, in honor of Father’s Day, I reflected on the lessons I learned from my father and my grandfather.
They came from very different generations, one influenced by the Great Depression, the other by the growth and prosperity of the 1950s and ’60s. One believed in bonds and the other in stocks. Together, they introduced me to the basics of investing–and more importantly, to how to keep the whole process in perspective. While my style is different from either of theirs-( have less tolerance for risk than my dad, but more than my grandfather had-their advice continues to resonate as I plan for my own future.

Madison School District Math Task Force Update

Lisa Wachtel, Executive Director of Curriculum and Assessment Sarah Lord, Mathematics Teacher Leader (2010-2011) Jeff Ziegler, Mathematics Teacher Leader (2011-2012) Grant Goettl, Middle School Math Specialist Resource Teacher Laura Godfrey, Mathematics Resource Teacher:

During the 2010-2011 school year, the Mathematics Division of Curriculum and Assessment (C&A) focused on implementing recommendations regarding Middle School Mathematics Specialists. Additionally, progress has been made in working towards consistent district-wide resources at the high school level.
Recommendations #1 – #5:
Recommendations #1-#5 focus on increasing mathematical knowledge for teaching in MMSD ‘s middle school teachers of mathematics. These recommendations address our workforce, hiring practices, professional development, partnerships with the UW and work with the Wisconsin DPI to change certification requirements.
The C&A Executive Director, C&A Assistant Director, Deputy Superintendent, Assistant Superintendent of Secondary Schools and Mathematics Instructional Resource Teacher met with Human Resources to discuss the implementation of the district-wide expectation for the hiring and retention of Math Specialists. This team created wording to be inserted into all middle school positions that state expectations for teachers involved in teaching mathematics.
The Mathematics Instructional Resource Teacher from Curriculum and Assessment has visited middle schools across Madison to share information with teaching staff and answer questions regarding the Middle School Math Specialist professional development program and the associated expectation for middle school teachers of mathematics. The resource teacher has also met with the Middle School Math Leadership Academy, and the Learning Coordinators to share information and answer questions. A website was created to provide easy access to the needed information. (A copy of the website is attached as Appendix E.)
The Middle School Math Specialist Advisory group that includes UW Mathematics, UW Mathematics Education, Education Outreach and Partnerships, and Madison Metropolitan School District has met throughout the year to provide updates, guidance to the development of the Math Specialist program, and continual feedback on the courses and implementation.
The first cohort of classes in the Middle School Math Specialist program being offered at UW-Madison began in August of20!0. During the first year, the three courses were co-taught by representatives from UW-Mathematics (Shirin Malekpour), UW- ( Mathematics Education (Meg Meyer), and MMSD (Grant Goettl). A total of22 MMSD teachers participated, with seven completing one course, two completing two courses, and ten completing all three offered courses. The topics of study included number properties, proportional reasoning, and geometry.
The first cohort will continue into their second year with eleven participants. The topics of study will include algebra and conjecture. The first cohort will complete the five course sequence in the spring of 2012.
The second cohort is currently being recruited. Advertising for this cohort began in March and sign-up began in April. This cohort will begin coursework in August of 2011. In the first year they will participate in three courses including the study of number properties, proportional reasoning, and geometry. This cohort will complete the five course sequence in the spring of 2013.
The tentative plan for facilitation of the 2011-2012 courses is as follows:

Much more on the Math Task Force, here.

STEM: Changemakers Competition due 8/3/2011

Carnegie Corporation of New York:

Solving the world’s most pressing challenges will require innovations in science, technology, engineering, and mathematics (also called STEM). From climate change to fiscal meltdowns, renewable energy to eradicating diseases, from food security to global and local health, the STEM disciplines are at the very center of our quest to improve our lives and the condition of our world.
If we are to bring new ideas to long-standing problems and new talent to emerging opportunities, we need to educate all of our young people to higher levels of understanding in the STEM fields. Despite the heroic efforts of our nation’s best teachers and principals, our schools are ill-equipped to do that: According to international comparisons, U.S. students ranked below 22 countries in science and below 30 countries in math. And yet our communities are filled with many of the world’s most talented professionals in these fields. They work in hospitals, universities, and museums; biotech, engineering, and architecture firms; graphic-design and urban-planning studios; hedge funds, banks, and computer-software, gaming, and pharmaceutical companies. They just rarely directly impact our public schools.

Math scholarship started by McFarland woman is rare in bad economy

Matthew DeFour:

In 1964, Sue Kosmo was a high school senior who loved pizza, Pepsi and precalculus, when her parents encouraged her to invest in the stock market.
With a $54 tax return from her part-time bakery job making 75 cents per hour, she bought one share in something familiar — a cola company marketing itself to a younger generation.
Almost half a century and several stock splits later, Kosmo is cashing in her investment, now worth $10,000, to start a scholarship fund at McFarland High School for young women who excel in math.
The story got the attention of executives at Pepsi, which is donating another $10,000 to Kosmo’s scholarship fund.
Local businesses and residents provide more than $1 million a year in scholarships to local college-bound students, though the recent economic downturn has dampened donations somewhat, according to local officials who coordinate local scholarships.

MIT Supporting High School Science Sims

EdReformer:

Stacie Bumgarner is a research scientist in the Biology Department at MIT. She leads school outreach efforts for the Office of Educational Innovation & Technology. She is working with JFY Networks to expand the use of two sophisticated science simulations to high school students in Boston:

Call for revolution in English teaching: Professor says multilingual teachers who grew up speaking Cantonese provide a better model for Hong Kong children than native English speakers

John Carney:

English should be taught in Hong Kong by multilingual teachers, not native English speakers, according to a Hong Kong education professor who is organising an international conference on English as a lingua franca, being held in the city.
“It’s a revolutionary shift that we’re arguing for, and it’s that the multilingual way becomes the linguistic model for teaching kids English here, not that of a native English speaker,” says Andy Kirkpatrick, chair professor of English as a professional language at the Hong Kong Institute of Education.

BioMathematics

Ian Stewart:

Biology used to be about plants, animals and insects, but five great revolutions have changed the way that scientists think about life: the invention of the microscope, the systematic classification of the planet’s living creatures, evolution, the discovery of the gene and the structure of DNA. Now, a sixth is on its way – mathematics.
Maths has played a leading role in the physical sciences for centuries, but in the life sciences it was little more than a bit player, a routine tool for analysing data. However, it is moving towards centre stage, providing new understanding of the complex processes of life.
The ideas involved are varied and novel; they range from pattern formation to chaos theory. They are helping us to understand not just what life is made from, but how it works, on every scale from molecules to the entire planet – and possibly beyond.
The biggest revolution in modern biology was the discovery of the molecular structure of DNA, which turned genetics into a branch of chemistry, centred on a creature’s genes – sequences of DNA code that specify the proteins from which the gene is made. But when attention shifted to what genes do in an organism, the true depth of the problem of life became ever more apparent. Listing the proteins that make up a cat does not tell us everything we want to know about cats.

In an improbable corner of China, young scientists are rewriting the book on genome research.

Lone Frank:

Lab technicians at the Beijing Genomics Institute in Shenzhen, China. Clockwise from upper left: Zhi Wei Luo; Wan Ling Li; Zi Long Zhang; and Yu Zhu Xu.
The world’s largest genome-mapping facility is in an unlikely corner of China. Hidden away in a gritty neighborhood in Shenzhen’s Yantian district, surrounded by truck-repair shops and scrap yards prowled by chickens, Beijing’s most ambitious biomedical project is housed in a former shoe factory.
But the modest gray exterior belies the state-of-the-art research inside. In immaculate, glass-walled and neon-lit rooms resembling intensive care units, rows of identical machines emit a busy hum. The Illumina HiSeq 2000 is a top-of-the-line genome-sequencing machine that carries a price tag of $500,000. There are 128 of them here, flanked by rows of similar high-tech equipment, making it possible for the Beijing Genomics Institute (BGI) to churn out more high quality DNA-sequence data than all U.S. academic facilities put together.
“Genes build the future,” announces a poster on the wall, and there is no doubt that China has set its eye on that future. This year, Forbes magazine estimated that the genomics market will reach $100 billion over the next decade, with scientists analyzing vast quantities of data to offer new ways to fight disease, feed the world, and harness microbes for industrial purposes. “The situation in genomics resembles the early days of the Internet,” says Harvard geneticist George Church, who advises BGI and a number of American genomics companies. “No one knows what will turn out to be the killer apps.” Companies such as Microsoft, Google, IBM, and Intel have already invested in genomics, seeing the field as an extension of their own businesses–data handling and management. “The big realization is that biology has become an information science,” says Dr. Yang Huanming, cofounder and president of BGI. “If we accept that [genomics] builds on the digitalization of life, then all kinds of genetic information potentially holds value.”

Failing Our Children: Wisconsin’s Deficit in Teaching Personal Finance and Economics

Scott Niederjohn:

Given the importance of economic and financial education, one might expect to find these subjects emphasized in Wisconsin’s K-12 schools. Other states are ahead of Wisconsin. Twenty-one states now require high school students to take an economics course; thirteen states require students to take a personal finance course. In Wisconsin, neither is required, so few Wisconsin high school students take a course in economics or personal finance, and few teachers are qualified to teach one.
This widespread disregard has real consequences. The financial crisis from which our nation is currently recovering illustrates some of these, having arisen in part from ill-considered decisions by financially illiterate consumers of credit. For American workers, moreover, the trend away from defined-benefit pensions toward defined-contribution pensions places increasing investment responsibilities in the hands of individuals.
Evidence suggests that improvement will be a challenge. Surveys and assessments of economic and financial education generally yield dismal results. Americans are neither confident in their skills in these areas nor do they perform well on tests of knowledge. Their lack of economic and financial savvy plays out variously — for example, in the lives of large numbers of Americans who find themselves “unbanked” and reliant on dubious sources of financial services such as payday-loan stores and check-cashing outlets. College students, meanwhile, rack up record levels of credit-card and student-loan debt.

Teachers Bring Science to Life, Sponsored by Rayovac

Science & Technology Institute, via a kind reader’s email:

Do you know a teacher who brings learning to life? Whether you’re a student, parent, teacher or school administrator, you can nominate your K-6 teacher for a chance to win an all-expense paid trip to Science in the Rockies, Steve Spangler’s three-day hands-on science teacher training in Denver.

How to Blend Math

Tom Vander Ark

Most schools are looking for ways to boost achievement and save money. Blended learning is part of the solution. Blended learning is an intentional shift to an online environment for at least a portion of the student day to boost learning and operating productivity. Math is a great place for a school or district to introduce blended learning because it:
facilitates individualized progress
leverages great math teachers
takes advantage of quality math content (open & proprietary)
can be augmented by games and tutorials
School of One, a pilot middle grade math program in New York City, is a good example of multiple modes of instruction aligned with an assessment framework. An early example of a smart recommendation engine creates a unique schedule for each student every day. This important pilot project introduced the idea of a customized learning playlist, but it has not attempted to improve operating productivity.

Drop tedious ICT lessons, says Intellect Time for education to grow up and start teaching kids the meaning of computing…

Natasha Lomas, via a James Dias email:

There have been fresh calls for schools to dump the dull ICT lessons that are turning kids off IT and failing to create the type of IT-savvy employees that UK businesses need.
Earlier this year, a discussion forum on digital skills heard from a BCS member and IT teacher that pupils and teachers are “bored rigid” by ICT lessons in their present form.
Intellect, the trade body for the UK’s tech sector, has now called on the government to drop ICT lessons in their current form from the national curriculum and replace them with ones that focus on higher-value computer science skills. The organisation was submitting its response to a Department of Education review of the National Curriculum in England, launched in January this year.
ICT should also be taught by embedding interactive and multimedia technology across every subject, according to Intellect – which believes technology businesses could play a role here to help teachers make the best use of relevant equipment by supporting training.
Intellect reckons the ICT curriculum is too focused on teaching pupils how to use a limited number of software packages and is therefore failing to inspire students to develop more advanced computer skills.

Trading the corporate world for the classroom

Susan Troller:

Physicist, neuroscience entrepreneur and businessman, Jon Joseph traded the money and prestige of a flourishing career in corporate America for the opportunity to teach high level calculus, computer science and physics to high school kids. He’s doing his thing in the northern Green County community of New Glarus, teaching at a high school where there were exactly zero Advanced Placement courses less than 15 years ago.
A shortened version of his professional resume includes a Ph.D. in physics with a focus on neuroscience from the University of Wisconsin-Madison. While an assistant professor at UW, he founded the Biomagnetic Research Laboratory for brain research. He left academia for the corporate world in 1989, doing brain research for Nicolet Biomedical and later moving to the NeuroCare Division of VIASYS Healthcare, where he was chief technology officer and VP of engineering and new technology. Most recently, he was part of a startup company called Cyberkinetics, where he was vice president of research and development. He got his teaching certificate in 2006, and previously taught in Madison and Middleton. In New Glarus, he heads up the math and computer science department.
Capital Times: Describe the work you did before you became a teacher.
Jon Joseph: I spent a lot of time b

Somewhat related, from a financial and curricular perspective: The Khan Academy.

Enthusiasm for science fairs has dimmed in Wisconsin

Joe Carey:

Gary Stresman stands on a chair in the cafeteria in Nicolet High School addressing a bustling crowd of sixth-, seventh- and eighth-graders. Though it’s rather early on a Saturday morning and they are in a school, the students are excited.
 They are at a science fair.
It’s going to be a great day, Stresman tells them. They should be proud of the work they put into their projects and be ready to have some fun, he says.
 ”Because science is cool, right?” he asks.
 ”Right!” they answer him.
That enthusiasm for science fairs – once a staple of school life – doesn’t burn as brightly throughout Wisconsin.
In recent years, Wisconsin’s statewide science fair, which takes the winners from the eight regional fairs around the state, has drawn about 75 high school students. Milwaukee is down to one districtwide science fair for MPS, after the Milwaukee Regional Science and Engineering Fair folded in 2009.

Reinventing the Way We Teach Engineers

Joseph Rosenbloom:

Richard Miller has had one of the toughest jobs in higher education. The Olin Foundation tapped him a dozen years ago to create an engineering college on a hilltop in the Boston suburb of Needham. When Miller started, there were no buildings, no faculty, no curriculum, no students.
The foundation’s mandate: design a boldly original model for a 21st century school whose graduates would be not just accomplished engineers but world-beater entrepreneurs and leaders.
Now the Franklin W. Olin College of Engineering has a wind-swept cluster of six earth-toned buildings, 347 brainy students who pay a maximum of $38,000 tuition, an untenured faculty totaling 25 men and 13 women and a curriculum oriented toward what Miller calls “design based” learning. Miller, who has a Ph.D. in applied mechanics from the California Institute of Technology, has honed his leadership skills as Olin’s chief creator and builder. The following is an edited version of an interview with Miller conducted by Inc. contributor Joseph Rosenbloom.

Requiring Algebra II in high school gains momentum nationwide

Peter Whoriskey, via a Mike Allen email

With its intricate mysteries of quadratics, logarithms and imaginary numbers, Algebra II often provokes a lament from high-schoolers.
What exactly does this have to do with real life?
The answer: maybe more than anyone could have guessed.
Of all of the classes offered in high school, Algebra II is the leading predictor of college and work success, according to research that has launched a growing national movement to require it of graduates.
In recent years, 20 states and the District have moved to raise graduation requirements to include Algebra II, and its complexities are being demanded of more and more students.
The effort has been led by Achieve, a group organized by governors and business leaders and funded by corporations and their foundations, to improve the skills of the workforce. Although U.S. economic strength has been attributed in part to high levels of education, the workforce is lagging in the percentage of younger workers with college degrees, according to the Organization of Economic Cooperation and Development.

Sample questions are available here.

Appeals court sides with Seattle schools over math text choice

Katherine Long:

The Washington State Court of Appeals has reversed an earlier decision in King County Superior Court that found Seattle’s choice of a new high-school math series was arbitrary and capricious.
The appellate court found no basis for the Superior Court’s conclusion in February 2010 that the Seattle School board “was willful and unreasoning in coming to its decision” when it chose the Discovering Math series of textbooks for algebra and geometry in high school math.
The school district has been using the series since the start of the 2009 school year.
Some parents have criticized the Discovering Math series, saying it is inferior to other series and that its emphasis on verbal descriptions makes it difficult for some students to understand, especially those for whom English is a second language.

Much more on the Seattle Discovery Math lawsuit, here.

Salman Khan: Let’s use video to reinvent education

TedTalks:

Salman Khan talks about how and why he created the remarkable Khan Academy, a carefully structured series of educational videos offering complete curricula in math and, now, other subjects. He shows the power of interactive exercises, and calls for teachers to consider flipping the traditional classroom script — give students video lectures to watch at home, and do “homework” in the classroom with the teacher available to help.

Khan discusses moving away from the “one size fits all” approach to education. However, he does advocate “peer to peer tutoring”…….

Math Night a chance for kids, parents to learn, have fun

Pamela Cotant:

The teacher-run Math Night at Madison’s Olson Elementary was a chance for parents and children to play math games together, but there’s more to the event.
“The real reason behind it is to have families and kids think a little differently about math,” said Dawn Weigel Stiegert, instructional resource teacher at Olson.
At the recent second annual event, the activities focused on geometry, measurement and math facts/number work. Each area had games designed for different grade levels and chosen by the teachers to fit with math standards for the various grades. The games allow parents, who learned math differently when they were in school, to see the expectations at the different grade levels and how their children are learning math, Weigel Stiegert said.

The Way You Learned Math Is So Old School

NPR:

Your fifth-grader asks you for help with the day’s math homework. The assignment: Create a “stem-and-leaf” plot of the birthdays of each student in the class and use it to determine if one month has more birthdays than the rest, and if so, which month? Do you:
a) Stare blankly
b) Google “stem-and-leaf plot”
c) Say, “Why do you need to know that?”
d) Shrug and say, “I must have been sick the day they taught that in math class.”
If you’re a parent of a certain age, your kids’ homework can be confounding. Blame it on changes in the way children are taught math nowadays — which can make you feel like you’re not very good with numbers.
Well, our math guy, Keith Devlin, is very good at math, and he tells Weekend Edition Saturday host Scott Simon that there’s a reason elementary schools are teaching arithmetic in a new way.
“That’s largely to reflect the different needs of society,” he says. “No one ever in their real life anymore needs to — and in most cases never does — do the calculations themselves.”

Is America’s best high school soft on math?

Jay Matthews:

By all accounts, he is one of the best math teachers in the country. The Mathematics Association of America has given him two national awards. He was appointed by the Bush administration to the National Mathematics Advisory Panel. For 25 years he has prepared middle-schoolers for the tough admissions standards at Thomas Jefferson High School for Science and Technology, the most selective high school in America.
Yet this year, when Vern Williams looked at the Jefferson application, he felt not the usual urge to get his kids in, but a dull depression. On the first page of Jefferson’s letter to teachers writing recommendations, in boldface type, was the school board’s new focus: It wanted to prepare “future leaders in mathematics, science, and technology to address future complex societal and ethical issues.” It sought diversity, “broadly defined to include a wide variety of factors, such as race, ethnicity, gender, English for speakers of other languages (ESOL), geography, poverty, prior school and cultural experiences, and other unique skills and experiences.” The same language was on the last page of the application.
“This is just one example of why I have lost all faith in the TJ admissions process,” Williams said. “In fact, I’m pretty embarrassed that the process seems no more effective than flipping coins.”

Washington should stick to proven state math standards

Clifford Mass:

IF our state Legislature takes no action this session, Washington state will drop its new, improved math standards for an untested experiment: Common Core “national” standards that have never been used in the classroom and for which assessments have yet to be developed.
And there is a high price tag for such a switch, an expense our state can ill afford. Surprisingly, one of the most profound changes in U.S. education in decades has been virtually uncovered by the national media.
Until two years ago, our state had some of the worst math standards in the country, rated “F” by the Fordham Foundation, and lacking many of the essentials found in standards used by the highest-performing nations. That all changed in 2008, when under the impetus of the state Legislature, a new set of standards, based on world-class math requirements, was adopted.

For the Love of Math!

Helen:

You’ve heard this a million (10 to the power of 6) times, but it is frightening. In the 2009 (41 X 49) Program for International Student Assessment US 15-year-olds ranked 25th (4! + 1) among 34 (square root of 1156) countries in math falling behind Canada, New Zealand, Finland, and Asian countries such as China, South Korea, Japan, Singapore, and Hong Kong.
To counter this sad trend, stop by The Math Salon at Mosaic Coffeehouse on February 28th from 4-6 PM:

Film: The Finland Phenomenon & A Counter View

Inside the World’s Most Surprising School System, via a kind reader’s email.
The PISA survey tells only a partial truth of Finnish children’s mathematical skills:

The results of the PISA survey (http://www.jyu.fi/ktl/pisa/) have brought about satisfaction and pride in Finland. Newspapers and media have advertised that Finnish compulsory school leavers are top experts in mathematics.
However, mathematics teachers in universities and polytechnics are worried, as in fact the mathematical knowledge of new students has declined dramatically. As an example of this one could take the extensive TIMSS 1999 survey, in which Finnish students were below the average in geometry and algebra. As another example, in order not to fail an unreasonably large amount of students in the matriculation exams, recently the board has been forced to lower the cut-off point alarmingly. Some years, 6 points out of 60 have been enough for passing.
This conflict can be explained by pointing out that the PISA survey measured only everyday mathematical knowledge, something which could be – and in the English version of the survey report explicitly is – called “mathematical literacy”; the kind of mathematics which is needed in high-school or vocational studies was not part of the survey. No doubt, everyday mathematical skills are valuable, but by no means enough.

It May Be a Sputnik Moment, but Science Fairs Are Lagging

Amy Harmon:

Rarely have school science fairs, a source of pride and panic for generations of American students, achieved such prominence on the national stage. President Obama held one at the White House last fall. And last week he said that America should celebrate its science fair winners like Sunday’s Super Bowl champions, or risk losing the nation’s competitive edge.
Yet as science fair season kicks into high gear, participation among high school students appears to be declining. And many science teachers say the problem is not a lack of celebration, but the Obama administration’s own education policy, which holds schools accountable for math and reading scores at the expense of the kind of creative, independent exploration that science fair projects require.

The Thomas Beale Cipher: A Modern Take on an Old Mystery

Jane Doh:

It’s the stuff of legends: A group of men comea across what would be today worth $65 million in gold and silver while on expedition in early-19th-century New Mexico territory. Then, they transport said treasure thousands of miles and bury it in Virginia. One of them, named Thomas Jefferson Beale, leaves three ciphertexts, simply strings of comma-separated numbers, with an innkeeper in Virginia, who forgets about it for more than 20 years.
One day, the innkeeper, realizing that Beale isn’t coming back, opens the box and tries to solve the riddle. Frustrated, he then tells the story and passes along the texts to a friend, J.B. Ward, who cracks one of the three ciphertexts, but not the one that actually gives the precise location of the treasure. More than a hundred years go by, and no one can solve the remaining two ciphers, not even with the benefit of modern computers, and the treasure, if it exists, may still be out there, waiting in the mountains of Virginia.
Picking up on this unsolved mystery, modern storyteller Andrew S. Allen created a short film The Thomas Beale Cipher, a refreshingly modern take on this century-old mystery. In Allen’s story, Professor White, a cryptographer who has recently run into some poor luck, has figured out a way to solve the Beale ciphers. But this knowledge is dangerous, and federal agents are hunting him down.

Building Sage (Open Source Math) on Amazon EC2

A quarter or two ago my son Andy took a rather unique course at the University of Washington. In his Math 480b: Programming for the Working Mathematician course, Andy learned about a number of important topics including the Unix command line, Python programming (including classes, exceptions and decorators). In the second half of the quarter they learned about the Sage open source math system.
The course ended by teaching the students how to make a genuine contribution to Sage. They were asked to find an open bug, figure out how to fix it, fix it, and to create and submit a patch. In essence, they learned a very practical skill that is taught all too rarely in school — how to be a contributor to an open source project. This is pretty significant. Despite the presence of the word “open”, I have come to learn that many people don’t understand the actual workings of the process. Walking the students through it, and having them make an actual contribution, will ensure that they leave school with this knowledge under their belt. With any luck it will be easier for them to find jobs and they’ll be more useful and more productive once they start.

The Educationist View of Math Education

Barry Garelick:

In Jay Greene’s recent blog post, “The Dead End of Scientific Progressivism,” he points out that Vicki Phillips, head of education at the Gates Foundation misread her Foundation’s own report. Jay’s point was that Vicki continued to see what she and others wanted to see: “‘Teaching to the test makes your students do worse on the tests.’ Science had produced its answer — teachers should stop teaching to the test, stop drill and kill, and stop test prep (which the Gates officials and reporters used as interchangeable terms).”
I was intrigued by the education establishment’s long-held view as Jay paraphrased it. This view has become one of the “enduring truths” of education and I have heard it expressed in the various classes I have been taking in education school the last few years. (I plan to teach high school math when I retire later this year). In terms of math education, ed school professors distinguish between “exercises” and “problems”. “Exercises” are what students do when applying algorithms or routines they know and can apply even to word problems. Problem solving, which is preferred, occurs when students are not able to apply a mechanical, memorized response, but rather have to apply prior knowledge to solve a non-routine problem. Moreover, we future teachers are told that students’ difficulty in solving problems in new contexts is evidence that the use of “mere exercises” or “procedures” is ineffective and they are overused in classrooms. One teacher summed up this philosophy with the following questions: “What happens when students are placed in a totally unfamiliar situation that requires a more complex solution? Do they know how to generate a procedure? How do we teach students to apply mathematical thinking in creative ways to solve complex, novel problems? What happens when we get off the ‘script’?”

The AI Revolution Is On

Stephen Levy:

Diapers.com warehouses are a bit of a jumble. Boxes of pacifiers sit above crates of onesies, which rest next to cartons of baby food. In a seeming abdication of logic, similar items are placed across the room from one another. A person trying to figure out how the products were shelved could well conclude that no form of intelligence–except maybe a random number generator–had a hand in determining what went where.
But the warehouses aren’t meant to be understood by humans; they were built for bots. Every day, hundreds of robots course nimbly through the aisles, instantly identifying items and delivering them to flesh-and-blood packers on the periphery. Instead of organizing the warehouse as a human might–by placing like products next to one another, for instance–Diapers.com’s robots stick the items in various aisles throughout the facility. Then, to fill an order, the first available robot simply finds the closest requested item. The storeroom is an ever-shifting mass that adjusts to constantly changing data, like the size and popularity of merchandise, the geography of the warehouse, and the location of each robot. Set up by Kiva Systems, which has outfitted similar facilities for Gap, Staples, and Office Depot, the system can deliver items to packers at the rate of one every six seconds.

Montgomery schools’ decision to slow pace of math courses divides parents

Michael Birnbaum

One recent night, Mackenzie Stassel was cramming for a quiz in her advanced math course in Montgomery County. Her review of the complicated topics followed hours of other homework. Eventually she started to nod off at the table.
It was 11:15 p.m. Mackenzie is a sixth-grader.
There will be fewer such nights in the future for many Montgomery students.
Last month, Maryland’s largest school system announced that it would significantly curtail its practice of pushing large numbers of elementary and middle school students to skip grade levels in math. Parents had questioned the payoff of acceleration; teachers had said students in even the most advanced classes were missing some basics.

Related: Math Forum and Madison’s Math Task Force.

8th Grade 1895 Test from Salina, Kansas

The Salina Journal:

8th Grade Final Exam: Salina, KS – 1895
Grammar (Time, one hour)
1. Give nine rules for the use of Capital Letters.
2. Name the Parts of Speech and define those that have no modifications.
3. Define Verse, Stanza and Paragraph.
4. What are the Principal Parts of a verb? Give Principal Parts of do, lie, lay and run.
5. Define Case, Illustrate each Case.
6. What is Punctuation? Give rules for principal marks of Punctuation.
7 – 10. Write a composition of about 150 words and show therein that you understand the practical use of the rules of grammar.
Arithmetic (Time, 1.25 hours)
1. Name and define the Fundamental Rules of Arithmetic.
2. A wagon box is 2 ft. deep, 10 feet long, and 3 ft. wide. How many bushels of wheat will it hold?
3. If a load of wheat weighs 3942 lbs., what is it worth at 50 cts. per bu., deducting 1050 lbs. for tare?
4. District No. 33 has a valuation of $35,000. What is the necessary levy to carry on a school seven months at $50 per month, and have $104 for incidentals?
5. Find cost of 6720 lbs. coal at $6.00 per ton.
6. Find the interest of $512.60 for 8 months and 18 days at 7 percent.
7. What is the cost of 40 boards 12 inches wide and 16 ft. long at $20 per m?
8. Find bank discount on $300 for 90 days (no grace) at 10 percent.
9. What is the cost of a square farm at $15 per are, the distance around which is 640 rods?
10. Write a Bank Check, a Promissory Note, and a Receipt.

It Isn’t the Culture, Stupid

Barry Garelick, via email:

The news last week that Shanghai students achieved the top scores in math on the international PISA exam was for some of us not exactly a wake-up call (as Secretary of Education Arne Duncan characterized it) or a Sputnik moment (as President Obama called it).
We’ve seen this result before. We’ve seen the reactions and the theories and the excuses that purport to explain why the US does so poorly in math. In fact, there are three main variations used to explain why Chinese/Asian students do so well in international exams:

  • Version 1: They are taught using rote learning and then regurgitate the results on exams that test how well they memorize the procedures of how to solve specific problems.
  • Version 2: They are taught using the reform methods of a “problem based approach” that doesn’t rely on drills, and instills critical thinking and higher order thinking skills
  • Version 3: The teacher or the culture produces the proper conditions for learning.

Shanghai PISA scores

Steve Hsu:

The Shanghai math (+1 SD) and science (+.75 SD) scores are almost a full SD above the OECD average of 500 (SD = 100). The top 10 percent of Shanghai math students are all above the 99th percentile for the US. See earlier post for links to Rindermann’s work relating school achievement tests like TIMSS and PISA to national IQ estimates, and see here for earlier SD estimates using 2006 PISA data. (Finland has an anomalously low SD in the earlier data. A quick look at the 2009 data shows the following math SDs: Finland 82, USA 91, Korea 89, Japan 94, Germany 98, Shanghai 103, Singapore 104.)

Although Shanghai and Beijing are the richest cities in China, incomes are still quite low compared to the US. Average income in Shanghai is about $10k USD per annum, even PPP adjusted this is about $20k. People live very modestly by the standards of developed countries.

As noted in the comments, there are other places in China that score *higher* than Shanghai on college entrance exams or in math and science competitions. So while Shanghai is probably above the average in China, it isn’t as exceptional as is perhaps implied in the Times article.

Taiwan has been moving to an American-style, less test-centric, educational system in the last decade. Educators and government officials (according to local media reports in the last 12 hours) are very concerned about the “low scores” achieved in the most recent PISA 🙂

To see how individual states or ethnicities in the US score on PISA, see here and here.

NYTimes: … PISA scores are on a scale, with 500 as the average. Two-thirds of students in participating countries score between 400 and 600. On the math test last year, students in Shanghai scored 600, in Singapore 562, in Germany 513, and in the United States 487.

In reading, Shanghai students scored 556, ahead of second-place Korea with 539. The United States scored 500 and came in 17th, putting it on par with students in the Netherlands, Belgium, Norway, Germany, France, the United Kingdom and several other countries.

In science, Shanghai students scored 575. In second place was Finland, where the average score was 554. The United States scored 502 — in 23rd place — with a performance indistinguishable from Poland, Ireland, Norway, France and several other countries.

The testing in Shanghai was carried out by an international contractor, working with Chinese authorities, and overseen by the Australian Council for Educational Research, a nonprofit testing group, said Andreas Schleicher, who directs the Organization for Economic Cooperation and Development’s international educational testing program.

Mark Schneider, a commissioner of the Department of Education’s research arm in the George W. Bush administration, who returned from an educational research visit to China on Friday, said he had been skeptical about some PISA results in the past. But Mr. Schneider said he considered the accuracy of these results to be unassailable.

Private school finds answers in Singapore method

Jason Wermers:

Educators at a small private Christian school in Olde Town Augusta are seeing results with a math curriculum imported from halfway around the world.
For the past three years, Heritage Academy has used Singapore Math as its basal math curriculum for kindergarten through sixth grade.
In the first year the school adopted Singapore Math, all of its kindergarten and first-grade pupils met or exceeded proficiency standards on the Iowa Tests of Basic Skills, as did 80 percent of second-graders.
Why use math from Singapore?

Related: Math Forum Audio/Video.

Next generation workforce: Outperformed in math and science

Scott Olster

f you want to get a sense of what’s in store for the American workforce, just take a look at how our students match up against the rest of the world in math and science. After all, most of the professions within the U.S. economy that are growing — healthcare, information technology, and biomedicine — require extensive training in both subjects.
So how are we doing? Not well, at all.
American 15-year old students scored below average in math and were outperformed by 23 other countries and education systems, according to test results released Tuesday by the Organization for Economic Cooperation and Development’s Program for International Student Assessment.
And they didn’t do much better in science, ranking 19 among the lot of 65 participating countries and education systems (N.B. “educational systems” are individual cities within a country, like Shanghai).

Top Test Scores From Shanghai Stun Educators

Sam Dillon

With China’s debut in international standardized testing, students in Shanghai have surprised experts by outscoring their counterparts in dozens of other countries, in reading as well as in math and science, according to the results of a respected exam.
American officials and Europeans involved in administering the test in about 65 countries acknowledged that the scores from Shanghai — an industrial powerhouse with some 20 million residents and scores of modern universities that is a magnet for the best students in the country — are by no means representative of all of China.
About 5,100 15-year-olds in Shanghai were chosen as a representative cross-section of students in that city. In the United States, a similar number of students from across the country were selected as a representative sample for the test.
Experts noted the obvious difficulty of using a standardized test to compare countries and cities of vastly different sizes. Even so, they said the stellar academic performance of students in Shanghai was noteworthy, and another sign of China’s rapid modernization.
The results also appeared to reflect the culture of education there, including greater emphasis on teacher training and more time spent on studying rather than extracurricular activities like sports.

American Teens Trail Global Peers in Math Scores; But U.S. Students Show Progress in Science

OECD

American teenagers made modest progress on an international exam, but still performed below average in mathematics compared with their peers in other industrialized countries, according to results released Tuesday by the U.S. Department of Education.
The test, called the Program for International Student Assessment, has been given every three years since 2000 to 15-year-old students. Last year, when the test was administered, 60 countries participated. It’s coordinated worldwide by the Paris-based Organization of Economic Cooperation and Development.
The results for American students drew a lukewarm response from U.S. education officials as they seek to boost test scores among high-school and college students. “We’re in the middle of the pack; that’s not where we want to be,” said Stuart Kerachsky, deputy commissioner at the National Center for Education Statistics, an arm of the Department of Education that administers the PISA test in the U.S.

Korea and Finland top OECD’s latest PISA survey of education performance:

Korea and Finland top the OECD’s latest PISA survey of reading literacy among 15-year olds, which for the first time tested students’ ability to manage digital information.
The survey, based on two-hour tests of a half million students in more than 70 economies, also tested mathematics and science. The results for 65 economies are being released today.
The next strongest performances were from Hong Kong-China, Singapore, Canada, New Zealand and Japan. Full results here.
The province of Shanghai, China, took part for the first time and scored higher in reading than any country. It also topped the table in maths and science. More than one-quarter of Shanghai’s 15-year-olds demonstrated advanced mathematical thinking skills to solve complex problems, compared to an OECD average of just 3%.

Perfect SAT Math Scores: Male-Female Ratio of 2:1

In September I had a post about the 2010 Math SAT test results, and reported on the gender differences in favor of males, who scored 34 points higher on average this year than their female counterparts. This follows a persistent 30+ point differential in favor of male high school students that goes back to at least the early 1970s.
This is a follow-up to that post, and the chart above (click to enlarge) displays the results of the 2010 Math SAT test by gender for all scores between 580 and 800 by 10-point intervals. Notice that:

Classroom Collaboration Supports Mathematical Generalizations

Amy Ellis

In mathematics classrooms, generalization is an important part of the curriculum.
When students know how to generalize they can identify commonality across cases, extend their reasoning beyond the range in which it originated, and derive broader results from particular cases. But generalization remains difficult for students to do, and for teachers to support.
UW-Madison education professor Amy Ellis studies the processes that support students’ productive generalizing in their math classrooms. She considers generalization a dynamic social process as well as an individual cognitive activity.
In a recent study she studied an 8th-grade math class during a 3-week unit on quadratic growth. The class sessions focused on relationships between the height and area of growing rectangles (see illustration). As they grew, the rectangles retained the same height-to-length ratio.

Emanuel Vows Fix For Chicago Math and English

Dan Mihalopoulos

Rahm Emanuel made a campaign promise last week that if elected mayor, he would install a new math and English language curriculum in Chicago’s public schools by the end of his first term.
Mr. Emanuel said the new curriculum would be geared toward equipping students with the skills to meet the “common core standards” that education officials in Illinois and more than 40 other states have adopted. In imposing the new standards, the state has left up to the districts the question of how to try to meet those standards.
“I want us, the city of Chicago, to be the first city to adopt the curriculum that teaches toward the common standards,” he said in an interview with the Chicago News Cooperative. “Nobody has taken on the initiative.”
The effort would better prepare high school graduates for college or the workplace, he said.

Bay State 12th-graders top nation in NAEP test results

Stewart Bishop

High school seniors in Massachusetts are ranked highest in the nation in reading and math ability, according to new test results from the National Assessment of Educational Progress.
The first state-specific results for Grade 12 in 2009 showed that Massachusetts students had the highest scaled score in both the reading and math exams. The Bay State was one of 11 states to participate in the pilot program for states to receive state-specific Grade 12 results.
In a ceremony at Medford High School, Governor Deval Patrick, surrounded by state education officials and hundreds of students, heralded the results as proof of the state’s position as a leader in public education.

Talking Numbers Counts For Kids’ Math Skills

NPR

In almost every home and pre-school in America, young children are being taught how to recite the alphabet and how to say their numbers.
A new study by University of Chicago psychology professor Susan Levine finds that simply repeating the numbers isn’t as good as helping kids understand what they mean.
According to her study, for children to develop the math skills they’ll need later on in school, it is essential that parents spend time teaching their children the value of numbers by using concrete examples — instead of just repeating them out loud.
“Just about all 2-year-olds can rattle off the sequence from one to 10,” Levine tells Weekend All Things Considered host Guy Raz. “But then, if you ask them to give you three objects … they’ll just grab a handful.”

One-time funds to train 153 Oshkosh teachers to help students with math

Adam Rodewald

New spending approved by the Oshkosh school board would cover a gap in math tutoring services that has left four schools with inadequate help for struggling students since last year.
About 13 percent of Oshkosh elementary school students perform below grade level in math, said Director of Curriculum Shelly Muza.
That’s better than the average Wisconsin district, which has about 25 percent of elementary students performing below grade level. But budget cuts in the 2009-10 academic year stripped Oakwood, Carl Traeger, Lakeside and Green Meadow schools of math support services after the board decided to fund the $295,000 program with federal Title I dollars – money given only to schools with higher rates of poverty – instead of general fund dollars.
The remaining math intervention teachers who work one-on-one with struggling students can barely keep up. The equivalent of 4.25 full-time teachers are split between about 570 students in 12 elementary schools, said Muza.

Two relate links: Math Forum Audio, Video & Links; Math Task Force.

Teaching Math to the Talented

Eric Hanushek, Paul E. Peterson and Ludger Woessmann

In Vancouver last winter, the United States proved its competitive spirit by winning more medals–gold, silver, and bronze–at the Winter Olympic Games than any other country, although the German member of our research team insists on pointing out that Canada and Germany both won more gold medals than the United States. But if there is some dispute about which Olympic medals to count, there is no question about American math performance: the United States does not deserve even a paper medal.
Maintaining our productivity as a nation depends importantly on developing a highly qualified cadre of scientists, engineers, entrepreneurs, and other professionals. To realize that objective requires a system of schooling that produces students with advanced math and science skills. To see how well schools in the United States do at producing high-achieving math students, we compared the percentage of U.S. students in the high-school graduating Class of 2009 with advanced skills in mathematics to percentages of similarly high achievers in other countries.

International Benchmarking: State Education Performance Standards

Gary W. Phillips, Ph.D., via a Richard Askey email

It is worth looking at the data to see how Wisconsin compares with some other states. Here is the mathematics comparison with Minnesota.
The “state” results are the percent of students ranked as proficient on the state test with the current cut scores being used. The international percent was obtained by using the state results on NAEP (National Assessment of Educational Progress) and this was mapped by comparing levels of problems to the level on TIMSS, (Trends in Mathematics and Science Study).
Grade 4 Mathematics Percent proficient
State International
Wisconsin 74 45
Minnesota 68 55
Massachusetts 49 63
Grade 8 Mathematics
Wisconsin 73 33
Minnesota 56 41
Massachusetts 46 52
No, the Massachusetts scores were not reversed here. Their cut score levels are set higher than the TIMSS levels.
It is time for the Wisconsin Department of Public Instruction to redo the cut score levels to make them realistic. Parents in Wisconsin are mature enough to be told the truth about how well their children are doing.

British Kids Log On and Learn Math — in Punjab

Julia Wedigier

Once a week, year six pupils at Ashmount Primary School in North London settle in front of their computers, put on their headsets and get ready for their math class. A few minutes later, their teachers come online thousands of kilometers away in the Indian state of Punjab.
Ashmount is one of three state schools in Britain that decided to outsource part of their teaching to India via the Internet. The service — the first of its kind in Europe — is offered by BrightSpark Education, a London-based company set up last year. BrightSpark employs and trains 100 teachers in India and puts them in touch with pupils in Britain through an interactive online tutoring program.
The feedback from pupils, the schools and parents is good so far, and BrightSpark said a dozen more schools, a charity and many more parents were interested in signing up for the lessons. The one-on-one sessions not only cost about half of what personal tutors in Britain charge but are also popular with pupils, who enjoy solving equations online, said Rebecca Stacey, an assistant head teacher at Ashmount.

Push for math, science education stumbles amid beleaguered Kansas City districts’ pressures

Joe Robertson

Five years ago, alarms sounded over America’s rapidly falling stature in STEM education.
That’s science, technology, engineering and math — the keys to our nation’s prosperity. But U.S. schools weren’t keeping up in the fast-changing fields.
Governors dispatched task forces. New programs were launched. Foundations poured in funding. And schools started to make gains.
Now, however, signs are emerging that the momentum of the mid-2000s is slipping away, even as students’ needs continue to grow.

An Email to Madison Superintendent Dan Nerad on Math Teacher Hiring Criteria by Janet Mertz.

Location, Location, Location

Rosemarie Emanuele

tatistical measures such as “mean”, “median” and “mode” are measures that give us a sense of where data are located on a number line. They are therefore, sometimes, called “measures of location”. I had to think of them this past week as Ursuline College prepares to host the meeting of the Ohio Division of the Mathematical Association of America, which, for the first time in its history, will be located at our small college campus. A group of math professors from throughout Ohio will be descending on our campus this weekend, and my colleague in the math department is responsible for not only arranging to have the conference come to our campus, but also is responsible for taking care of many of the details that go with planning a conference. Always more of a “big picture” person than one who can deal with minutia, I am in awe of the job she is doing. Her involvement ranges from finding work study students to handle registration to arranging to make coffee and hot chocolate herself rather than pay a high price to have it made for the conference. I certainly could never have done such a good job, and I look forward to watching the conference unfold on our campus that is temporarily missing students, who are on a “fall break.”
When my colleague joined us at Ursuline almost ten years ago, she immediately signed up to have her membership in the Mathematical Association of America transferred to her new Ursuline College address. However, when she filled out the form to do so, she was unable to find Ursulline College on the list of Ohio campuses from which to choose. She found herself checking “other”, and then writing in the name of “Ursuline College.” That would have to change, she recalls thinking!

Singapore Math Is “Our Dirty Little Secret”

Barry Garelick, via email:

The New York Times ran a story on September 30 about Singapore Math being used in some schools in the New York City area. Like many newspaper stories about Singapore Math, this one was no different. It described a program that strangely sounded like the math programs being promoted by reformers of math education, relying on the cherished staples of reform: manipulatives, open-ended problems, and classroom discussion of problems. The only thing the article didn’t mention was that the students worked in small groups.
Those of us familiar with Singapore Math from having used it with our children are wondering just what program the article was describing. Spending a week on the numbers 1 and 2 in Kindergarten? Spending an entire 4th grade classroom period discussing the place value ramifications of the number 82,566? Well, maybe that did happen, but not because the Singapore Math books are structured that way. In fact, the books are noticeably short on explicit narrative instruction. The books provide pictures and worked out examples and excellent problems; the topics are ordered in a logical sequence so that material mastered in the various lessons builds upon itself and is used to advance to more complex applications. But what is assumed in Singapore is that teachers know how to teach the material–the teacher’s manuals contain very little guidance. Thus, the decision to spend a week on the numbers 1 and 2 in kindergarten, or a whole class period discussing a single number is coming from the teachers, not the books.
The mistaken idea that gets repeated in many such articles is that Singapore Math differs from other programs by requiring or imparting a “deep understanding” and that such understanding comes about through a) manipulatives, b) pictures, and c) open-ended discussions. In fact, what the articles represent is what the schools are telling the reporters. What newspapers frequently do not realize when reporting on Singapore Math, is that when a school takes on such a program, it means going against what many teachers believe math education to be about; it is definitely not how they are trained in ed schools. The success of Singapore’s programs relies in many ways on more traditional approaches to math education, such as explicit instruction and giving students many problems to solve, in some ways its very success represented a slap in the face to American math reformers, many of whom have worked hard to eliminate such techniques being used.

Hong Kong pupils shine in top Asian maths contest

Lana Lam

Two primary school pupils from Hong Kong won the top awards in one of Asia’s most prestigious maths competitions.
It’s the first time that any Hong Kong pupil has won a grand champion award at the International Mathematics Contest which was held in Singapore last month. About 1,000 pupils competed in the event which sees teams from the mainland, Hong Kong, Taiwan, Indonesia, South Korea, Malaysia, the Philippines, Singapore and Thailand battling it out in algebra, geometry, statistics and measurements.
Nine-year-old boy Li Ka-wing scored the highest marks in the Primary Three category and 11-year-old girl Lam Ho-yan was the best pupil for the Primary Five exams.
They both train at the Hong Kong Mathematical Olympiad School in Kowloon which offers intensive maths coaching.
“Each year, there are good results. However this year, it was very special,” the school’s principal, Pinky Lam Sui-ping, said. Every year, thousands of Hong Kong pupils applied to compete in the event by sitting online tests, she said.

Bill Gates Enrolls His Child in Khan Academy

Slashdot

“At some schools, a teaching load of five courses every academic year is considered excessive. But Sal Khan, as an earlier Slashdot post noted, manages to deliver his mini-lectures an average of 70,000 times a day. BusinessWeek reports that Khan Academy has a new fan in Bill Gates, who’s been singing and tweeting the praises of the free-as-in-beer website. ‘This guy is amazing,’ Gates wrote. ‘It is awesome how much he has done with very little in the way of resources.’ Gates and his 11-year-old son have been soaking up videos, from algebra to biology. And at the Aspen Ideas Festival in front of 2,000 people, Gates gave Khan a shout-out, touting the ‘unbelievable’ Khan Academy tutorials that ‘I’ve been using with my kids.'”

Math, science teachers get paid less, report says

Donna Gordon Blankinship

UW researchers have found that despite the spoken commitment of state officials and lawmakers, teachers in math and science earn less than other high-school instructors.
Researchers at the University of Washington have found that despite the spoken commitment of state officials and lawmakers, math and science teachers earn less than other high-school instructors.
In a report released Wednesday, the Center on Reinventing Public Education found that 19 of the state’s 30 largest school districts pay math or science teachers less than they spend on teachers in other subjects.
The way Washington and many other states pay teachers — with more money going to those with more years of experience and graduate degrees — has led to the uneven salaries.
Jobs that pay better at nearby high-tech companies may also be a contributing factor, because math and science teachers may be recruited away before they have a chance to reach the higher rungs on the pay ladder, said Jim Simpkins, a researcher on the report, with Marguerite Roza and Cristina Sepe.

Jim Simpkins, Marguerite Roza, Cristina Sepe

Washington State recently passed a law (House Bill 2621) intending to accelerate the teaching and learning of math and science. However, in the two subject areas the state seeks to prioritize, this analysis finds that nineteen of the thirty largest districts in the state spend less per math or science teacher than for teachers in other subjects.
Existing salary schedules are part of the problem. By not allowing any differential compensation for math and science teachers, and instead basing compensation only on longevity and graduate credits, the wage system works to create the uneven salaries.
The analysis finds that in twenty-five of the thirty largest districts, math and science teachers had fewer years of teaching experience due to higher turnover–an indication that labor market forces do indeed vary with subject matter expertise. The subject-neutral salary schedule works to ignore these differences.

Education Reform and Civil Rights

New Jersey Left Behind:

Here’s Sandra Alberti, Director of Math and Science Education at the NJ DOE. in NJ Spotlight:

We have this thing called Algebra I that exists in very different forms, even within the same school.

That’s her admirably candid response to the results of pilot tests of Algebra I and Biology, which demonstrates the gap in proficiency between poor and wealthy students. “On the biology test, just a quarter of the students in the poorest districts were proficient, compared with more than 80 percent in the wealthiest.” For Algebra I, “75 percent of students in the poorest districts were deemed “below basic,” while that number was 11 percent in the richest districts.”
In other words, 75% of NJ’s poor students failed both the biology test and the algebra test while only 20% of NJ’s wealthy students failed biology and 11% failed algebra. Odds are high, based on Alberti’s comment, that the vast majority of the poor students passed their coursework in spite of lack of proficiency.

The Missing Mandate: Financial Literacy

Brooke Stephens

As legislators and lobbyists congratulate themselves on the 2300 pages of legalese drafted to reform Wall Street banks and the financial services industry, not one paragraph addresses a major reason why the meltdown occurred: how American consumers learn to manage money. According to several mortgage banking studies, nearly 70 percent of the victims of foreclosure admit they did not understand the terms of the deal they signed or the long-term impact on their lives.
Congress had plenty of chances to address this problem. More than 30 bills focused on financial literacy have been introduced since 2006. All of them died in Senate or House committees. None were included in this recent reform bill.
Money, like sex, is supposed to be taught at home but in a 2008 Charles Schwab study, 69% of parents interviewed reported they were more prepared to discuss sex than money with their children.

Houston’s New Math Tutoring Program: Seeking Math Fellows

Houston School District:

The Apollo 20 Math Fellows Program is a one-year Urban Education Fellowship Program located in Houston, Texas.
The Houston Independent School District (HISD) is looking for dynamic college graduates to commit one year to improving the academic achievement of inner-city students. You will tutor five pairs of middle- or high-school students in math, every day, for the whole school year. You will have the opportunity to build close relationships with each of your students, and the chance to make a significant impact on their lives. This program is unique in that it is the first large-scale tutoring program integrated into the students’ school day that has ever been launched in an urban public school district. With your help, Houston can become a leading innovator in the urban education field.