Geometry

Catalog description

In addition to an in-depth study of Euclidean geometry, an exposure to various non-Euclidean geometries (e.g. projective, taxi-cab, hyperbolic) is given. Students are exposed to diverse models of teaching and learning, including but not limited to: Direct Instruction, Technology-Driven Labs, Synthetic Explorations and Inquiry-Based Learning. After successfully completing this course, students will be prepared to teach a middle grades or high school geometry course by being able to:1) Analyze and summarize the axiomatic foundations of Euclidean geometry. 2).Construct proofs of theorems and solve problems in two and three-dimensional Euclidean geometry through synthetic and/or transformational approaches. 3) Demonstrate familiarity and conceptual fluency in the skills explicitly expressed in state and national mathematics standards for Geometry (NCTM, GACE, GASOE). 4) Organize and prepare content-relevant lessons integrating multiple appropriate modes of instruction (e.g. direct instruction, inquiry-based experiences, physical and technological laboratories). 5) Show skill with appropriate software as a tool to facilitate both problem solving and instruction.