Respect Responsibility Readiness
The following article was published in the Los Angeles Times 12/20/2004
Why Math Always Counts
By Arthur Michelson
American middle school students don’t care that they’re
worse at math than their counterparts in Hong Kong or Finland. “I don’t need
it,” my students say. “I’m gonna be a basketball star.” Or a beautician, or a
car mechanic, or a singer.
It’s hard to get much of a rise out of adults over the fact, released
earlier this year, that the United States ranked 28th out of 41 countries whose
middle school students’ math skills were tested by the Organization for Economic
Cooperation and Development. So what if we tied with Latvia, while nations like
Japan and South Korea leave us in the dust? After all, when was the last time
you used algebra?
But math is not just about computing quadratic equations, knowing geometric
proofs or balancing a check book. And it’s not just about training Americans to
become scientists.
It has implicit value. It is about discipline, precision, thorough-
ness and meticulous analysis. It helps you see patterns, develops your logic
skills, teaches you to concentrate and to separate truth from falsehood. These
are abilities that distinguish successful people.
Math helps you make wise financial decisions, but also informs you so you
can avoid false claims for advertisers, politicians and others. It helps you
determine risk. Some examples.
It can open our minds to logic and beauty
* If a fair coin is tossed and eight heads come up in a row, most adults would
gamble that the next toss would come up tails. But a coin has no memory. There
is always a 50-50 chance. See you at the casino?
* If you have no sense of big numbers, you evaluate the consequences of how
government spends your money. Why should we worry? Let our kids deal with it...
* Enormous amounts of money are spent on quack medicine. Many people will reject
sound scientific studies on drugs or nutrition if the results don’t fit their
preconceived notions, yet they might leap to action after reading news stories
on the results of small, inconclusive or poorly run studies.
* After an airplane crash, studies show that people are more likely to drive
than take a plane despite the fact that they are much more likely to be killed
or injured while driving. Planes are not more likely to crash because another
recently did. In fact, the most dangerous time to drive is probably right after
a plane crash because so many more people are on the road.
The precision of math, like poetry, gets to the heart of things. It can
increase our awareness.
Consider the Fibonacci series, in which each number is the sum of the
preceding two.(0,1,1,3,5,3,13........). Comparing each successive pair
yields a relationship known as the Golden Ratio, which often shows up in nature
and art. It’s the mathematical underpinning of what we consider beautiful.
You’ll find it in the design of the Parthenon and the Mona Lisa, as well as in
human proportion; for instance, in the size of the hand compared to the forearm
and the forearm to the entire arm. Stephen Hawking’s editor warned him that for
every mathematical formula he wrote in a book he would lose a big part of his
audience. Yet more than a little is lost by dumbing things down.
It is not possible to really understand science and the scientific method
without understanding math. A rainbow is even more beautiful and amazing when we
understand it. So is a lightning bolt, an ant, or ourselves.
Math gives us a powerful tool to understand our universe. I don’t wish to
overstate. Poetry, music, literature and the fine and performing arts are always
gateways to beauty. Nothing we study is a waste. But the precision of math helps
refine how we think in a very special way.
How do we revitalize the learning of math? I don’t have the big answer. I
teach middle school and try to find an answer one child at a time. When I can
get one to say, ”Wow, that’s tight.” I feel the joy of a small victory.
Arthur Michelson teaches at the Beechwood School in Menlo Park, California.