What we see changes what we know. What we know changes what we see.
Intelligence is what you use when you don’t know what to do.
The goal of education is not to increase the amount of knowledge but to create the possibilities for a child to invent and discover, to create men who are capable of doing new things.
Each time one prematurely teaches a child something he could have discovered himself, that child is kept from inventing it and consequently from understanding it completely.
I could not think without writing.
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.
Play is the answer to how anything new comes about.
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.
Reflective abstraction, however, is based not on individual actions but on coordinated actions.
