(Math-MthEd) Survey of Geometry

(Math-MthEd) Survey of Geometry
Logical and historical development of Euclidean and non-Euclidean geometry, transformations and symmetry; relationships among axiomatic systems; use of software and other geometric models; proofs and Van Hiele levels.
MATH
362
 Hours3.0 Credit, 3.0 Lecture, 0.0 Lab
 PrerequisitesMATH 290
 TaughtFall, Winter, Spring
 ProgramsContaining MATH 362
Course Outcomes

Knowing and Learning Geometry

Students understand central objects, concepts, relationships, definitions, and theorems of Euclidean geometry, how adolescents come to understand these, and the canonical examples and alternative approaches germane to teaching secondary school geometry.

Communicating Geometric Ideas and Arguments

Students can communicate geometric ideas effectively using a variety of appropriate representations and can construct valid proofs of geometric theorems within a given axiom system.

Multiple Geometries

Students understand and can describe the relationships among neutral, Euclidean, and non-Euclidean geometries in terms of fundamental geometric concepts, objects, and properties (particularly parallelism), and can use the fundamental properties of axiom systems and models to provide convincing arguments about these relationships.