going between discrete and continuous really helped me too. i think such a thing, using computers even, could do wonders for ug math education. some kind of a

going between discrete and continuous really helped me too. i think such a thing, using computers even, could do wonders for ug math education. some kind of awesome integrated class where kids work with robot toy cars comes to mind as an interesting way it could be presented. (start by measuring their behavior and collecting data, computing crude integrals on the computer, moving into analysis using the reals)