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.

Undoubtedly, there are kids with intellectual deficiencies or neurological problems. But a lot of kids shunted into special education classes are deficient only in a willingness to conform to the school pattern.They are just honest, brave kids who say, "I just won't take that, and I don't believe in what you're doing." If you give them an alternative to the usual classroom, they break free of a lot of inhibitions and bad associations, and they begin to learn.

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.

I prefer software where kids build something and run into problems they have to solve.

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.

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.

We should think about what we mean by literacy. If you say, "He's a very literate person," what you really mean is that he knows a lot, thinks a lot, has a certain frame of mind that comes through reading and knowing about various subjects.The major route open to literacy has been through reading and writing text. But we're seeing new media offer richer ways to explore knowledge and communicate, through sound and pictures.