Here are some links that cover various aspects of the course.
What is Mathematics?
Mathematician's Lament - Paul Lockhart's ideas about what is
wrong with mathematics education.
Some misconceptions about mathematics and mathematics education
The Role of Mathematics
Importance of Mathematics - Tim Gowers' lecture at the Clay
mathematics millenium meeting, 2000
Mathematics For? - Discussion
of the role of mathematics education
discussion of the role of mathematics in physical sciences
Arguement for changing the focus of mathematics education to statistics and probability.
attitude to mathematics, and how to cure it
videos that explain Geometry in more than three dimensions and other
advanced topics in geometry.
Mathematics and Music
This one is
written for mathematicians, so difficult to follow
introductory pages here are meant to be accessible to
non-mathematicians, but cover some more advanced mathematics
Open University Videos about Mathematics and music.
Mathematics and Art
of the mathematics behind perspective
balanced discussion of whether the golden ratio is as significant in
art as is claimed.
M. C. Escher
Video about Escher
Another Video about Escher
very detailed page about the mathematics behind Escher's work - could
be a good resource for a project.
American Mathematical Society
Fractal art video
Different Branches of Mathematics