MATH 362
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(Math-MthEd) Survey of Geometry
Mathematics
College of Computational, Mathematical, & Physical Sciences
Course Description
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.
When Taught
Fall, Winter, Spring
Min
3
Fixed
3
Fixed
3
Fixed
0
Title
Knowing and Learning Geometry
Learning Outcome
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.
Title
Multiple Geometries
Learning Outcome
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.
Title
Communicating Geometric Ideas and Arguments
Learning Outcome
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.
