Mar 04, 2026  
2017-2018 Graduate Catalog 
    
2017-2018 Graduate Catalog [ARCHIVED CATALOG]

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EDU 6381 - Geometry and Measurement


Credits: 3

Delves into Euclidean geometry and proof: axiomatic systems; definitions, theorems, postulates, and proofs; similarity; proportional reasoning; constructions; measurement; spatial reasoning; plane isometrics, translations, rotations, and reflections; dilations; trigonometric functions; inductive and/or deductive reasoning; mathematical induction; symbolic logic, proofs, and invalid arguments; significant historical developments; introductory topology; coordinate geometry; vectors; matrices; and problem-solving. Introduces the two non-Euclidean geometries, elliptic and hyperbolic. Topics include advanced mathematical content that informs elementary, middle, and secondary teaching. Discusses practical models and available technological tools for effectively teaching students about geometry, measurement, and proof for EC-12 mathematics. Also, components for developing effective mentoring relationships. Prerequisite or corequisite: EDU 6379 .



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