Mathematics Should be Taught Like Art

Imagine you had to take an art class in which you were taught how to paint a fence or a wall, but you were never shown the paintings of the great masters, and you weren't even told that such paintings existed. Pretty soon you'd be asking, why study art? That's absurd, of course, but it's surprisingly close to the way we teach children mathematics. In elementary and middle school and even into high school, we hide math's great masterpieces from students' view. The arithmetic, algebraic equati...

 Three Categories for Memes

What kinds of memes are there? I've divided memes into three classes: distinctions, knives used to slice up reality; strategies, beliefs about which causes will produce which effects; and associations, attitudes about everything in life. Each class of meme works to program you in a different way. [...] Distinction-memes The universe is full of stuff. However, anything we say about that stuff is purely a concept-a set of memes-invented by human beings. All concepts are composed of memes. Fo...