ModelCourses/Math for Elementary Education

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Mathematics for Elementary Educators
PREP 2011 Model Course
Prepared by Mike Diehl and Jonathan Duncan

Contents

Description

This is a model course for a two-term Mathematics for Elementary Educators course. Below is a list of topics and sub-topics arranged in an order that is common for many texts on the subject.

To Do

  • Finish writing/finding problems (have approximately 240, need approximately 30 more)
  • Write set header files
  • Create PDF files for homework assignments
  • Tag written problems for NPL
  • Write solutions
  • Shamelessly copy Multivariable Calculus wiki layout

List of Topics

First Term

  • Problem Solving Strategies
    • General Strategies
    • 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
    • Addition
    • 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
    • Fraction Operations
  • 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
    • Similarity
    • Volume and Surface Area
  • 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
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