MTHT 430 Fall 2014
A pdf version of this content is available: Syllabus
In this course we will cover higher order approaches to understanding geometry. We will stick to the structure of the book, Four Pillars of Geometry by John Stillwell. Roughly speaking the four pillars are axioms, algebra, transformations and projective geometry. Emphasis, where possible, will be given to applications to high school teaching with many hands-on activities.
Prerequisite(s): Confidence in Euclidean Geometry through some angles in circles theorems. Completion of MTHT 411 will suffice.
text: Four Pillars of Geometry by John Stillwell, 2005.

The book is available electronically through the UIC library


Students are welcome to use a laptop during class. We will be making extensive use of Geogebra. This free, downloadable software is a combination of a graphing calculator, a spreadsheet and something similar to geometer’s sketchpad. Geometer's Sketchpad is an ok substitute but eventually you will appreciate the algebraic and numeric advantages of Geogebra. We will be sharing work on Googledocs and/or writeLatex. UIC Google accounts are free and easy to get at here. Students may go to to learn about writeLatex, but this will be demonstrated in class. No knowledge of LaTex is required for the class.