Delving Deeper: Trisecting the Circle: A Case for Euclidean Geometry

Abstract

As an undergraduate mathematics major, a prospective teacher usually takes at least one geometry course. Typically, these courses focus on non–Euclidean geometry (sometimes presented as Modern Geometry), or vectors, transformations, or topology. Instead, we at the City College of New York offer a course on more advanced Euclidean geometry in which prospective teachers investigate a plethora of geometric theorems (or relationships) that enrich their understanding of Euclidean geometry and, consequently, their teaching of it.