Math, learning and advice for school-age kids

I've always been curious if I'd like the exploratory nature of 'pure math' where proofs of very difficult problem solutions are discovered. I imagine it being sort of like designing very complex software systems used in life-sustaining (?) applications such as on airplanes or manned space missions. As a software engineer working on these systems, you have to essentially prove that the software is fault-tolerant, essentially bug-free. There has to be a lot of internal consistency in such a system.

In my mind, it's really too bad so many people hate math or think they're not good at it. That has to do with the way math (and every other topic) is taught in school. Kids shouldn't be expected to solve problems from day one until they graduate high-school. They need to learn how to think. And that applies to all of the other subjects they're taught as well. I really like interdisciplinary and exploratory approaches. Some teachers (and certainly many school administrators) are afraid of allowing kids to explore beyond a little controlled discussion.

Paul Graham, eminent computer science scholar, just published an interesting essey online entitled What You'll Wish You'd Known where he presents his approach to the high-school commencement-style address to graduates but directed at students way before they finish high-school. Good reading!

Tsunami

It's sad to read or see the latest news on the earthquake/tsunami crisis in East Asia, India and Africa. Contributing to one of the help agencies is one way to respond and I can only hope that our corporations continue to deliver needed supplies and money on a large scale. Closer to home, I'm reminded by a friend's blog that there are things we have to do for our own emergency preparedness. With the new year about to begin, a resolution I'm going to make is to get that seventy-two hour kit ready in my home.