GEOMETRY FOR TEACHERS

Catalog description

This course is designed for students who intend to become mathematics teachers in K-12 school courses; it is a core course for the Education Concentration of the Mathematics Major. It provides students with background in both college geometry and topics in the K-12 geometry curriculum. The main focus of the course is the conceptual development of plane geometry. Topics include: Brief introduction to logic and logical proofs. Plane Euclidean geometry, basic concepts and axioms; main results about plane geometric figures, especially triangles and circles; symmetries and rigid motions in the plane. Use of geometry software to explore and illustrate geometric facts. Geometric constructions with ruler and compass. Basic results about solids in space; regular solids. Introduction to non-Euclidean plane geometries.