Structure of the number system, logical thinking, topics in geometry, simple functions, and basic statistics and probability. Calculators, concrete materials, and problem solving are used when appropriate. Covers the mathematics needed to teach grades K-8. Sequence.
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Expanded Course Description
This is a sequence of courses especially designed for prospective elementary and middle school teachers. Mathematical reasoning proof and full understanding of the concepts is emphasized.
Text: "A Problem Solving Approach to Mathematics for Elementary School Teachers", Billstein, Libeskind and Lott
Primarily Euclidean Geometry in 2 and 3 dimensions with proofs. Topics include sum of the angles in a triangle and any convex polygon. Congruence. Classical constructions with compass and straightedge as well as with computer software (Sketchpad). Similarity. Lines in Cartesian coordinate system. Concepts of Measurement: linear measure, area, and volume. The Pythagorean theorem and its applications. Basic concepts of transformational geometry primarily isometries and their applications in symmetry and constructions.
Prereqs/Comments: