I frequently wish that I had more time in my life to do all the things that I want to, and one of those things that I never have time for is math. I was reading Lockhart's Lament this weekend, which posits that mathematics is an art, on par with music or painting, and should therefore be treated and taught as such. It's an interesting read, and a perspective of math not normally considered, though his proposals are perhaps somewhat idealistic and impractical.
I was reminded of another fascinating essay I had read, Who Can Name the Bigger Number? (Though I disagree that Busy Beaver numbers should count for the proposed contest, since they are not at all exactly defined, and cannot be precisely determined.)