I don't know much about math or teaching it. But I like the idea of teaching mathematical thinking instead of calculation. I defer to Conrad Wolfram, an actual mathematician who is actually concerned with education.
So? What do you think?
"[I]f I had to live my life again, I would have made a rule to read some poetry and listen to some music at least once every week…The loss of these tastes is a loss of happiness, and may possibly be injurious to the intellect, and more probably to the moral character, by enfeebling the emotional part of our nature." --Charles Darwin