It is the story that matters, not just the ending.

Mental acuity of any kind comes from solving problems yourself, not from being told how to solve them.

I don't see how it's doing society any good to have so many members walking around with vague memories of algebraic formulas and geometric diagrams and clear memories of hating them.

The only thing I am interested in using mathematics for is to have a good time and to help others do the same.

Why don't we want our children to learn to do mathematics? Is it that we don't trust them, that we think it's too hard? We seem to feel that they are capable of making arguments and coming to their own conclusions about Napoleon. Why not about triangles?

Teaching is not about information. It's about having an honest intellectual relationship with your students. It requires no method, no tools, and no training. Just the ability to be real. And if you can't be real, then you have no right to inflict yourself upon innocent children.

A good problem is something you don't know how to solve. That's what makes it a good puzzle and a good opportunity.