Yeah, I know I've used (almost) that same title before - consider this the American release of the British film of (almost) the same name. By the way... if "maths" seems like a goofy thing to say in a sentence like "I studied maths at university," consider what it's short for. (If you're currently cringing at my sentence-ending preposition, take
this, you scurvy dog!) Also, I welcome any opportunity I might get to promote
Diane Lane, however obliquely.
My friend L (who also teaches math at MHS) and I were recently relaxing poolside reading books when we spotted a fellow MHS teacher and mutual friend. We walked over to her, and she asked what we were reading. Upon hearing the title of the book L was reading, she engaged in a lively discussion of the book, the upcoming movie and other related items with L. She then turned to me and asked what I was reading. I showed her my book, entitled What is Mathematics, whereupon she sneered at me and turned back to continue her conversation with L. L gave our friend an apologetic shrug, as if to say "Yes, he's odd, but he's the best I could do."
Which brings me to the point of this post. I think math is sublimely beautiful. Not just fun, or interesting. Truly staggering, on the scale of the Grand Canyon.
[Warning: serious math content to follow.]
For example, I've been playing around with
Pascal's Triangle, a neat little mathematical device that enables you to know the coefficient of any term of a binomial expansion (i.e., the expansion of (a + b)^n for any power of n). More relevantly, perhaps, but equivalently, you can use it like a chart or table to look up, say, the probability of tossing a coin 10 times and having it land heads-up exactly twice. Then there's something called the
Sierpinski Triangle, which is a construct in fractal geometry that enables you to create a geometric shape with arbitrarily large perimeter and arbitrarily small area by cutting equilateral triangles out of the middle of larger equilateral triangles. It, and many other fractal constructions (particularly in higher dimensions) are beautiful in themselves, as abstract art. Anyway, it turns out that the two triangles, created in totally different ways for completely different reasons over 300 years apart and on first inspection having absolutely nothing to do with one another, are related in an incredibly surprising and fundamental way.
[It's safe to go back in the water, now. No more actual math content.]
I was trying to explain to another friend why I think it's important for math teachers to like mathematics, and am afraid I didn't do a particularly good job. It's actually a little depressing that it even made sense to have the conversation in the first place -- I mean, don't all math teachers like math? Unfortunately, no, not by a wide margin. Half of the staff at my high school never took a math class past calculus, and most of them didn't even take calculus. They were education majors, got certified to teach middle school math because that's where the jobs were, then moved to high school teaching Geometry and Algebra I because those qualify as middle school subjects, and eventually struggled through their high school certification by acing all the lower level questions and skipping all the trig and calculus questions on the test. They've given me enough blank stares when I talked about non-Euclidean geometry or interesting problems in differential equations that I've stopped mentioning them. I can't even talk about math around most of the math teachers; they aren't interested. (Mrs. CowCulus and Mrs. D are exceptions, but there are desperately few others.
English teachers love to read, right? Science teachers love science, don't they? As a country, we suck at math. Is it because even our math teachers hated the subject? And by the way, most of our math teachers think math is all about memorizing equations, trying to memorize when to use which equation, plugging in the numbers required to solve the equation, and solving it. Hell, NOBODY likes that. Well, maybe engineers do. But it sure isn't mathematics. If you told a mathematician he'd have to do that for the rest of his working life, he'd blow his brains out. Of course, as a school district, we suck even more at English, and I've already made the claim that English teachers love reading. So maybe my argument is flawed. But my complaint isn't - I'd like to be able to talk about mathematics without having people roll their eyes at me, and that doesn't seem to be possible even when I'm among (most) math teachers.
End of complaint