MTH 5040
Understanding and Teaching Geometry
Aurora University · UGRD · Fall 2026
Catalog description
The course will primarily be a presentation of advanced geometry topics and will include connections to methods of teaching geometry. The majority of the class will be devoted to discussion of Euclidian and modern geometry topics that will deepen students' understanding of basic and advanced geometry concepts. Topics such as congruence, similarity, right triangles and trigonometry, circles, coordinate geometry, geometric measurements, and transformations will be presented. Students will be asked to prepare and present lessons. Following the presentation, a discussion of the best practices and biggest challenges of teaching such a topic will be discussed by the group as they critique each lesson. Every student in the class will be expected to present and evaluate the work of their peers. The course will emphasize the use of geometry software such as Geometry Sketchpad, Geogebra, Cabri, etc.
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