MATH 431: Topics in Geometry for Teachers
Course Description: The mathematical discipline of Geometry is immense. Even with the focused goal of preparing future teachers of high school geometry, the relevant material could last several semesters. This course is guided by the principle of ``depth over breadth'', with the goal of giving students the tools to tackle an unpredictable array of geometric topics they might encounter in their future teaching practice. The aims of the course include that (1) students become comfortable operating within an axiomatic development of Euclidean Geometry; (2) students become critical, proficient provers and problem-solvers; and (3) students improve their mathematical communication. The class is taught using inquiry-based learning. Students start to work through non-routine problem sets before class and class time is spent discussing problems in groups and as a class.