Math education should at the very least include a description of what math is and why it's interesting. Current math curricula don't let students know that math can be engaging, and so they're not engaged. The ambassador thing is to tell "normal" people what math is about. That's fundamental, not "touchy-feely".
> Math education should at the very least include a description of what math is and why it's interesting.
But let's be realistic about this. "Interesting" is an opinion, and the number of students who don't already find it interesting who would if we took the time to explain it would be fairly small.
I disagree. If you look at the comments left on Vi Hart's YouTube videos, it's clear that there are many, many people who only realize that math can be interesting after watching her videos. http://www.youtube.com/user/Vihart