Teaching courses for non-technical students

I just learned that I have been assigned to TA a course called "Ideas in Mathematics" (which, if I understand correctly, meets some sort of distribution requirement for the college as a whole, so will mostly be non-technically-oriented people) in the spring. I'm looking forward to this -- it'll be a nice change of pace from my usual teaching assignments (calculus) and I have all sorts of half-formed ideas about how mathematics should be presented in a non-technical setting that I'd love to be able to test out.

But I've never taught a course which wasn't calculus. So I ask you, my readers -- what's different about teaching these two kinds of courses?