Vi Hart calls herself "a recreational mathemusician currently living on Long Island." She talks faster than a machine gun, loves math, and draws like a dream. Her newest video: "Doodling in Math Class: Snakes + Graphs" is eye-popping.
I told you she talks fast. You may have noticed she's a touch angry about how math is taught in America. She thinks it can be done better — more intuitively, joyously.
So does Paul Lockhart, a math teacher at Saint Ann's School in Brooklyn, NY. A few years ago, he wrote an essay, "A Mathematician's Lament," that's been all over the internet. I just discovered it. Here's how it starts:
A musician wakes from a terrible nightmare. In his dream he finds himself in a society where music education has been made mandatory. "We are helping our students become more competitive in an increasingly sound-filled world." Educators, school systems, and the state are put in charge of this vital project. Studies are commissioned, committees are formed, and decisions are made — all without the advice or participation of a single working musician or composer.
Since musicians are known to set down their ideas in the form of sheet music, these curious black dots and lines must constitute the "language of music." It is imperative that students become fluent in this language if they are to attain any degree of musical competence; indeed, it would be ludicrous to expect a child to sing a song or play an instrument without having a thorough grounding in music notation and theory. Playing and listening to music, let alone composing an original piece, are considered very advanced topics and are generally put off until college, and more often graduate school.
As for the primary and secondary schools, their mission is to train students to use this language — to jiggle symbols around according to a fixed set of rules: "Music class is where we take out our staff paper, our teacher puts some notes on the board, and we copy them or transpose them into a different key. We have to make sure to get the clefs and key signatures right, and our teacher is very picky about making sure we fill in our quarter-notes completely. One time we had a chromatic scale problem and I did it right, but the teacher gave me no credit because I had the stems pointing the wrong way."
In their wisdom, educators soon realize that even very young children can be given this kind of musical instruction. In fact it is considered quite shameful if one's third-grader hasn't completely memorized his circle of fifths. "I'll have to get my son a music tutor. He simply won't apply himself to his music homework. He says it's boring. He just sits there staring out the window, humming tunes to himself and making up silly songs."
...Waking up in a cold sweat, the musician realizes, gratefully, that it was all just a crazy dream. "Of course!" he reassures himself, "No society would ever reduce such a beautiful and meaningful art form to something so mindless and trivial; no culture could be so cruel to its children as to deprive them of such a natural, satisfying means of human expression. How absurd!"
Sadly, our present system of mathematics education is precisely this kind of nightmare. In fact, if I had to design a mechanism for the express purpose of destroying a child's natural curiosity and love of pattern-making, I couldn't possibly do as good a job as is currently being done — I simply wouldn't have the imagination to come up with the kind of senseless, soul crushing ideas that constitute contemporary mathematics education.
Everyone knows that something is wrong. The politicians say, "we need higher standards." The schools say, "we need more money and equipment." Educators say one thing, and teachers say another. They are all wrong. The only people who understand what is going on are the ones most often blamed and least often heard: the students. They say, "math class is stupid and boring," and they are right.
I have a feeling Vi Hart and Paul Lockhart would get along. Paul's full essay is eloquent, angry, and well worth reading. You can find it here.
Vi has made a number of doodle videos. She's also played with balloons, sliced apples into hexagons, and in her latest, she gobbles up a long chain of candy buttons (little sugary dots) in the most mathematically arcane way. See it all on her website.