Here are some links that cover various aspects of the course.

### What is Mathematics?

A
Mathematician's Lament - Paul Lockhart's ideas about what is
wrong with mathematics education.
Some misconceptions about mathematics and mathematics education
http://scienceblogs.com/goodmath/2009/12/what_is_math.php
### The Role of Mathematics

The
Importance of Mathematics - Tim Gowers' lecture at the Clay
mathematics millenium meeting, 2000
What Is
Mathematics For? - Discussion
of the role of mathematics education
Philosophical
discussion of the role of mathematics in physical sciences
Arguement for changing the focus of mathematics education to statistics and probability.
Society
attitude to mathematics, and how to cure it
### Mathematics

Dimensions
videos that explain Geometry in more than three dimensions and other
advanced topics in geometry.
some problems
### Mathematics and Music

http://www.musicmasterworks.com/WhereMathMeetsMusic.html
http://en.wikipedia.org/wiki/Music_and_mathematics
http://jackhdavid.thehouseofdavid.com/papers/math.html
http://nahoo.net/academic/maths/temperament/
This one is
written for mathematicians, so difficult to follow
The
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

Wikipedia
Discussion
of the mathematics behind perspective
##### Golden Ratio

http://www.youtube.com/watch?v=SD-ZiqDvnKo
more
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.
##### Mathematical artwork

http://www.bugman123.com/Math/index.html
http://www.anneburns.net/enter.html
American Mathematical Society
Fractal art video
### Different Branches of Mathematics

http://www.math.niu.edu/~rusin/known-math/index/beginners.html
http://www.tricki.org/article/Front_pages_for_different_areas_of_mathematics