Interactive 3-D Things
LiveGraphics3D is a neat java-based technology for making dynamic models of mathematical structures. For example, the hyperbolic and elliptic points on the torus (shown separately below) can be classified using differential geometry. By Clicking and Dragging,
you can get them to spin. Hold down Shift and
Drag to Zoom.
If you're a true math geek, check out LiveGraphics3D by
Martin
Kraus.
Other 3D Applets
Using Flash for Mathematical Modeling
Starting with a summer project to learn Adobe Flash and ActionScript with Nathan Wakefield, I've really gotten into using Flash in my classes and creating dynamic applets using Actionscript coding.
Flash Applets
Encouraging Mathematica News
I use Mathematica a lot, but teaching math courses with Mathematica has been a real challenge. I think the cost of the program and having to learn the syntax has been a barrier to students appreciating Mathematica, so I've taught mostly with graphing calculators. I'm really excited about the new Wolfram Alpha search engine, though, and I've been using it to introduce my Calculus II students to Mathematica.