"An unknown but certainly significant proportion of the population has almost completely given up on learning. These people seldom, if ever engage in deliberate learning and see themselves as neither competent at it nor likely to enjoy it. The social and personal cost is enormous... Deficiency becomes identity: "I can't learn French, I don't have an ear for languages;" "I could never be a businessman, I don't have a head for figures;"... These beliefs are often repeated ritualistically, like superstitions... Although these negative self-images can be overcome, in the life of and individual they are extremely robust and powerfully self-reinforcing. If people believe firmly enough that they cannot do math, they will usually succeed in preventing themselves from doing whatever they recognize as math. The consequences of such self-sabotage is personal failure, and each failure reinforces the original belief. And such beliefs may be most insidious when held not only by individuals, but by our entire culture."

"It is not uncommon for intelligent adults to turn into passive observers of their own incompetence in anything but the most elementary mathematics. Individuals may see the direct consequences of this intellectual paralysis in terms of limiting job possibilities. But the indirect, secondary consequences are even more serious. One of the main lessons learned by most people in math class is a sense of having rigid limitations. They learn a balkanized image of human knowledge which they come to see as a patchwork of territories separated by impassable iron curtains."

"Should the computer program the kid or should the kid program the computer?"