Math for Teaching Geometry

Geometry is all about symmetry, shape, and space. We begin our exploration by going back to the classic work on geometry, Euclid's The Elements; studying straightedge and compass constructions; and then working our way to more modern topics such as tessellations and Pick's theorem. Along the way we also investigate golden rectangles, constructible numbers, and geometry in higher dimensions. We emphasize mathematical reasoning, and communication mathematics plays an important role in the course.