Does Math Make Research "Better"?



Ending the Math Wars in a Treaty of QAMA

As a country, we are often at war. If it's not against Germany, England, terrorism, or Grenada, it's the war on poverty (that's gone so well), the war on cancer (ditto), and, of particular interest to me, the Math Wars, which have been raging for decades. On one side, the traditionalists insist on drilling and back to basics, "on behalf of sanity and quality in math education." On the other side, the reformers insist on conceptual understanding using computers and calculators, to "promot[e] the rational reform of mathematics education."

Both are half-right and half-crazy. As the reformers say, students need to understand what the mathematics means. Students whose word problem for "6 x 3 = 18" is of the form "There were 6 ducks, and 3 more showed up, so 6 times 3 is 18," understand little. (See "Children Learning Multiplication, Part 1," in the articles by Professor Thomas C. O'Brien.) As the traditionalists say, using computers for everything leads to needing a calculator to compute what 6.5 x 10 is.

However, there's a tool to combine the merits of both sides: the Quick, Approximate, Mental Arithmetic (QAMA) calculator.

The Best Third-Grade Teacher Ever

One of the most important economic issues we face today is how much to spend on education, both individually and as a society. As tax revenues decline due to demographic changes and deteriorating business conditions, municipalities have to make tough choices about which programs to cut, and education is often an early victim. Because we don’t yet have good measures of all the future benefits produced by better education today, school programs are easy targets for cost-cutting measures, especially in lower-income regions where parents are focused on meeting more basic needs and less likely to put up a fight. But experiments like Geoffrey Canada’s Harlem Children’s Zone hint at the enormous impact that early educational support can have on lifetime achievement.

I have my own example: Mrs. Ficalora, the best third-grade teacher ever.

Raising Money to Teach Math

A reader named Karim Kai Ani writes:

Guy walks into a bar and says, "We've got this math curriculum that everyone is saying is the bomb (a dangerous thing to say when you have my name, but go with me), and we're Kickstarting a video series to offer teachers a new vision of what it means to teach math."

And the waitress says, "You should see if the dudes from Freakonomics would tweet about it. Didn't they mention Mathalicious on their blog once?"

What Teachers Think About Girls' Math Skills

A disheartening new study by Catherine Riegle-Crumb and Melissa Humphries finds that teachers discount the math skills of white females, even when girls' grades and test scores indicate a comparable level of skill.  Here's the abstract:


The Mathematics of Magic

I don’t particularly like math.  I’ve never been a fan of magic either.  For some reason, however, when I heard about a new book entitled Magical Mathematics written by two first-rate mathematicians, Persi Diaconis and Ron Graham, I felt compelled to buy it and read it.

I have to say that it is really good, and I would highly recommend it to any nerd.  It is a really artful melding of card tricks that are remarkable, with explanations of the underlying math concepts that are at one level so simple and clear that almost anyone could get the basic intuition for what they are talking about, but at another level so deep and difficult that it is probably hopeless for someone like me to ever truly understand. 

UCLA's Crime Fighting Mathematicians

A team of mathematicians at UCLA have created an algorithm that can identify with relative accuracy which Los Angeles gang is responsible for an unsolved crime. When tested against cases with a known culprit, the mathematicians could correctly list the gang rivalry involved (out of the three most likely rivalries) about 80 percent of the time. Of these options, they ranked the responsible gang first about 50 percent of the time.

To develop their technique, the mathematicians studied a combination of solved and unsolved gang crimes throughout East L.A. over ten years. Explaining the process, author Andrea Bertozzi, director of applied mathematics at UCLA, says:


Memorizing the Digits of Pi

Pi is an irrational number. Which means that as a decimal, it goes on forever. What's the best way to memorize this infinite chain of numbers? How about music? Or poetry?

The New Math: Nerds and Wonks

Here is the latest installment of Craig Damrauer's "New Math." Earlier posts can be found here, and his own site here.

New Math: No Pain, No Gain
