The main goal of this course is to outline geometry as an area of modern mathematics, and to show that this presentation is essential, relevant and makes sense for math teachers at the high school level. Students will be accustomed to viewing concepts from more than one viewpoint.
Right from the beginning, we will emphasize the need for invariant representations of objects on one hand and easily computable representations on the other hand.
Upon successful completion of the course students will be able to:
Prasolov, Tikhomirov, Geometry (2001).
Relevant sections of the book will hopefully be posted on the blog yakovenko.wordpress.com