For what is important when we give children a theorem to use is not that they should memorize it. What matters most is that by growing up with a few very powerful theorems one comes to appreciate how certain ideas can be used as tools to think with over a lifetime. One learns to enjoy and to respect the power of powerful ideas. One learns that the most powerful idea of all is the idea of powerful ideas.

Parents can learn that parental authority doesn't depend on knowing everything. The more you pretend, the more risk that it'll be traumatic and damaging to the kids and their relationship with you when they find out the truth.

It's not what you know about the computer that's important, but your ability to do things with it. By studying French in an academic setting, you get to know a lot about it, but typically, you can't express yourself well or have an interesting conversation with it.

The scandal of education is that every time you teach something, you deprive a [student] of the pleasure and benefit of discovery.

Rather than pushing children to think like adults, we might do better to remember that they are great learners and to try harder to be more like them.

Our goal in education should be to foster the ability to use the computer in everything you do, even if you don't have a specific piece of software for the job.

My ex-student, Idit Harel, who wrote a book, "Children Designs," has a documented story of a kid who was very shy, isolated and didn't talk much to other kids. She was a little overweight, and the other kids looked down on her for that reason.But then she made a discovery about how to do something on the computer. The discovery was picked up by other kids, and within a few weeks there was a total transformation. This kid was now in demand. And that changed her feeling about herself.