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
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