I really couldn’t do better than this. It is a MUST_READ
Here’s a short extract, and the whole is an indictment of the present system.
For students across the country, there’s clearly an engagement deficit in the subject. Paul Lockhart, a math teacher in New York, writes in A Mathematician’s Lament [PDF] that if he had to design a system for the express purpose of destroying a child’s natural curiosity and love of pattern-making, he couldn’t possible do a better job than is currently being done. He explains that he simply wouldn’t have the “imagination to come up with the kind of senseless, soul-crushing ideas that constitute contemporary mathematics education.”