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.

What we see changes what we know. What we know changes what we see.

Every time we teach a child something, we keep him from inventing it himself. On the other hand, that which we allow him to discover for himself will remain with him visible for the rest of his life.

Education, for most people, means trying to lead the child to resemble the typical adult of his society . . . but for me and no one else, education means making creators. . . . You have to make inventors, innovators...not conformists

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.

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