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.

Now more people are doing work that requires individual decision-making and problem-solving, and we need an educational system that will help develop those skills.

There's a tendency to make jazzy educational software that's very uniform and therefore just like school. I'd like to see a company develop software for rebellious kids who don't want to go to school.

I think we should allow for schools within schools, where 100 out of 500 kids may be organized by the way they work and what they do, and what they do often is more progressive. I would like to see a lot of kids of different ages, maybe even some adults, work together on a project.

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.

Even with the most stupid video games, kids learn more about learning than they ever did before, because they want to learn codes and moves before other kids figure them out. They're motivated to seek out someone or search the Net for help. A student who makes a video game has to solve mathematical problems to make special effects happen on the screen.

You can sit down with your child and prompt him to show you something - perhaps how to play a game [on the computer]. By learning a game, you're getting close to the kid and gaining insight into ways of learning. The kid can see this happening and feels respected, so it fosters the relationship between you and the kid.