MATH 3021 - Geometry

(3) Credit Hours
Prerequisite: MATH 1113 and Admission to the Educator Preparation Program or Permission of Instructor
Designed to prepare prospective middle grades and high school teachers to become effective facilitators in teaching geometry, this course develops geometry as an axiomatic mathematical system and approaches it from multiple perspectives (including higher dimensions), including transformational and algebraic treatments. 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.