In school, did you “learn” mathematics by just memorizing some facts and not really understanding where those facts arose? Karen Morgan Ivy Tweeted the below Calvin and Hobbes comic.
— Karen D. Morgan (@Afrikanbeat) March 7, 2014
(Transcription below by http://blog.onbeing.org/post/250746172/calvin-and-hobbes-math-is-a-religion)
Calvin: You know, I don’t think math is a science. I think it’s a religion.
Hobbes: A religion?
Calvin: Yeah. All these equations are like miracles. You take two numbers and when you add them, they magically become one new number! No one can say how it happens. You either believe it or you don’t.
Calvin: This whole book is full of things that have to be accepted on faith! It’s a religion!
Hobbes: And in the public schools no less. Call a lawyer.
Calvin: As a math atheist, I should be excused from this.
Related to this, I recently saw a link on my Facebook page to an article on NYTimes.com by Elizabeth Green entitled Why Do Americans Stink at Math? The article discusses a Japanese teacher who has tried revolutionizing mathematics pedagogy.
Instead of having students memorize and then practice endless lists of equations — which Takahashi remembered from his own days in school — Matsuyama taught his college students to encourage passionate discussions among children so they would come to uncover math’s procedures, properties and proofs for themselves.
The article also talks about how the American mathematics teaching practices have seen several failed reform attempts in the past.
It wasn’t the first time that Americans had dreamed up a better way to teach math and then failed to implement it. The same pattern played out in the 1960s, when schools gripped by a post-Sputnik inferiority complex unveiled an ambitious “new math,” only to find, a few years later, that nothing actually changed. In fact, efforts to introduce a better way of teaching math stretch back to the 1800s. The story is the same every time: a big, excited push, followed by mass confusion and then a return to conventional practices.
How can we, as mathematicians, work to ensure new reform (we are in the midst of the Common Core) actually works?