How can we, with our adult minds, know what will be interesting? If you follow the child...you can find out something new.

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

The more the schemata are differentiated, the smaller the gap between the new and the familiar becomes, so that novelty, instead of constituting an annoyance avoided by the subject, becomes a problem and invites searching.

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.

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

Chance... in the accommodation peculiar to sensorimotor intelligence, plays the same role as in scientific discovery. It is only useful to the genius and its revelations remain meaningless to the unskilled.

Logic and mathematics are nothing but specialised linguistic structures.