TEXTBOOK: Essentials of Mathematics for Elementary Teachers, By Musser, Burger, Peterson.

PREREQUISITE:   Placement by the Mathematics Department

I.      Problem Solving

• Polya’s Four Step Process
• Strategies for Problem Solving
  • Look for a Pattern
  • Make a List
  • Solve a Simpler Problem

II.     Set Theory

• Definition & Notation
• Operations
• Venn Diagrams

III.    Real Number System

• Integers
• Number Theory
  • Primes & Composite Numbers
  • Tests for Divisibility
  • Greatest Common Factor & Least Common Multiple
• Rational Numbers
  • Set of Rational Numbers (Fractions)
  • Operations with Fractions
  • Decimals
  • Ratio and Proportion
  • Percent

III.   Geometry & Measurement

• Geometric Shapes
  • Analyzing and Properties of Shapes
  • Regular Polygons and Tessellations
  • Three Dimensional Shapes
• Symmetry and transformations
• Using coordinates
• Geometer Sketchpad

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