Intelligence is what you use when you don't know what to do.

It is with children that we have the best chance of studying the development of logical knowledge, mathematical knowledge, physical knowledge, and so forth.

Logic and mathematics are nothing but specialised linguistic structures.

The principle goal of education in the schools should be creating men and women who are capable of doing new things, not simply repeating what other generations have done.

The current state of knowledge is a moment in history, changing just as rapidly as the state of knowledge in the past has ever changed and, in many instances, more rapidly.

Every acquisition of accommodation becomes material for assimilation, but assimilation always resists new accommodations.

Children have real understanding only of that which they invent themselves, and each time that we try to teach them too quickly, we keep them from reinventing it themselves.