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’s^{1} description of the way mathematics needs to be taught – using playful “serendipitous exploration” to discover that mathematics is about weaving ideas into patterns.

1. Paul Lockhart is author of the book “A Mathematician’s Lament” - introduction is online