ModelCourses/Math for Elementary Education
Mathematics for Elementary Educators
PREP 2011 Model Course
Prepared by Mike Diehl and Jonathan Duncan
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. In parentheses after each sub-topic is the path to a PDF version of the homework assignment created for that topic.
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
