Prep 2011 workshop Math for Elementary Education

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Working page for the Math for Elementary Education group at PREP 2011

Preliminary Topic List - 2011-06-23

First Term

• Problem Solving Strategies
• General Strategies
• Pictures
• Patterns
• Algebra
• Logical Reasoning
• Sets and Functions
• Sets and Set Operations
• Counting with Sets and Venn Diagrams
• Functions and Their Properties
• Function Applications
• Numeration Systems
• Ancient Numeration Systems
• The Hindu-Arabic System
• Bases Other than Ten
• Whole Number Arithmetic
• Subtraction
• Multiplication
• Division
• Number Theory
• Divisibility
• Tests for Divisibility
• Primes and Prime Factorization
• Greatest Common Divisors and Least Common Multiples
• Integers, Fractions, and Rational Numbers
• Integer Operations
• Modeling Fractions
• Fractional Number Sense
• Addition and Subtraction of Fractions
• Multiplication and Division of Fractions
• Decimals and Real Numbers
• Irrational and Real Numbers
• Decimal Computation and Applications
• Proportions and Percents
• Ratios and Proportions
• Percents

Second Term

• Coordinate Geometry
• Cartesian Coordinate System
• Graphing and Applications
• Connecting Algebra and Geometry
• Geometric Figures
• Figures in the Plane
• Polygons
• Figures in Space
• Symmetry and Transformations
• Similarity Transformations
• Types of Symmetry
• Tiling the Plane
• Measurement: Length, Area and Volume
• Units of Measure
• Area and Perimeter
• Pythagorean Theorem
• Volume and Surface Area
• Congruence and Similarity
• Congruent Triangles
• Similarity
• Statistics
• Organizing Data
• Populations and Sampling
• Measures of Center
• Measures of Variation
• Measures of Relative Standing
• Probability
• Introduction to Probability
• Principles of Counting
• Theoretical Probability
• Random Variables and Expected Value