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MATH603: Modern Mathematics for Teachers II
Revised: November 2006
Course Description
Geometric concepts of proof, congruence, similarity, and geometric equalities and inequalities. Prerequisite: 602 or permission of department head. Three semester hours.
Objectives
This course is intended for elementary and middle school teachers and will focus on
-
The informal study of Euclidean Geometry including concepts of two-dimensional and three-dimensional shape, simple curves, polygons, circles, coordinate geometry, and measurement.
- The nature of proof and reasoning, similarity and congruence, constructions, transformations, and geometric applications.
Text
Geometry in the Middle Grades. NCTM (5-8 Addenda Series), 1992.
AND
Serra, Michael, Discovering Geometry. Key Curriculum Press, 1993.
Grading Procedure
Grading procedures and factors influencing course grade are left to the discretion of individual instructors, subject to general university policy.
Attendance Policy
Attendance policy is left to the discretion of individual instructors, subject to general university policy.
Course Outline
Two and three dimensional shape
Properties of planar and solid models. Properties of curves, polygons, pyramids, and polyhedra;Shapes and angle sum relationships
Tessellations, tiling, and angle-sum relationships; Use appropriate vocabulary and symbolism to represent elementary geometric concepts; Pythagorean relationships;Constructions
Perform classical geometric constructions using devices such as a compass, ruler, protractor, and mira; projective applications;Transformational geometry
Slide, flip, turn geometry; symmetry and congruence;Measurement
Length, area, volume via counting; derivation of formulas;Reasoning
Patterns and geometric induction; deductive reasoning; elementary proofs.