Tuesday, April 12, 2005
From the comments to Paul Graham's advice to computer science undergraduates:
The real reason it is hard to learn what math is about is that mathematical understanding requires new and difficult (at least at first) ways of thinking. Cookbook calculus courses sidestep these difficulties and therefore teach little of value. Really understanding calculus was hard for Newton and is hard today.After finishing Calculus I & II with "A" grades and then later realizing that I knew little about calculus, I've been significantly disappointed in that aspect of my education. Yes, I'm looking at you, you, and you.