MAED 553 - Inquiry III: Spatial Reasoning, Geometry, and Proof

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This course uses an inquiry approach to investigate essential and advanced geometric concepts and spatial reasoning. This course is designed for secondary mathematics teachers who want to boost their content and pedagogy knowledge by exploring Euclidean, Non-Euclidean, and finite geometries to develop an appreciation of axiomatic systems and proof. Additionally, students will use manipulatives, graphing calculators, dynamic geometry drawing tools to create inquiry experiences and active learning classrooms. Exposure to research on learning and teaching geometry, measurement and proof as the foundation for the developing research-based teaching and assessment practices in geometry. Course participants assess student work samples in geometry, and design intervention strategies to move the thinking of geometry students forward using the Van Hiele Levels of Geometric Understanding. Applications to geometry in art, architecture, nature, computer graphics, and other fields are incorporated.