Challenge: Is it possible to find a student who would not be engaged by Vi Hart’s brilliant math doodling videos.? These are about having fun while discovering mathematical relationships. Here’s a sample – there’s more on her site.
Doodling in Math: Sick examples
There’s plenty other mathematical stuff on Vi Hart’s blog. Stuff with balloons,and how to make platonic solids out of fruit. This is mathematics that meets Paul Lockhart’s1 description of the way mathematics needs to be taught – using playful “serendipitous exploration” to discover that mathematics is about weaving ideas into patterns.