ModelCourses/Math for Elementary Education

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

This article is under construction. Use the information herein with caution until this message is removed.

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 Multi-variable Calculus wiki layout

First Term

Unit 1 - Problem Solving Strategies

Problem set for this unit

• General Strategies
• Patterns
• Algebra
• Logical Reasoning

Unit 2 - Sets and Functions

Problem set for this unit

• Sets and Set Operations
• Counting with Sets and Venn Diagrams
• Functions and Their Properties
• Function Applications
• Numeration Systems

Unit 3 - Whole Number Arithmetic

Problem set for this unit

• Addition
• Subtraction
• Multiplication
• Division

Unit 4 - Number Theory

Problem set for this unit

• Divisibility
• Tests for Divisibility
• Primes and Prime Factorization
• Greatest Common Divisors and Least Common Multiples

Unit 5 - Integers, Fractions, and Rational Numbers

Problem set for this unit

• Integer Operations
• Modeling Fractions
• Fractional Number Sense
• Fraction Operations

Unit 6 - Decimals and Real Numbers

Problem set for this unit

• Irrational and Real Numbers
• Decimal Computation and Applications

Unit 7 - Proportions and Percents

Problem set for this unit

• Ratios and Proportions
• Percents

Second Term

Unit 1 - Coordinate Geometry

Problem set for this unit

• Cartesian Coordinate System
• Graphing and Applications
• Connecting Algebra and Geometry

Unit 2 - Geometric Figures

Problem set for this unit

• Figures in the Plane
• Polygons
• Figures in Space

Unit 3 - Symmetry and Transformations

Problem set for this unit

• Similarity Transformations
• Types of Symmetry
• Tiling the Plane

Unit 4 - Measurement: Length, Area and Volume

Problem set for this unit

• Units of Measure
• Area and Perimeter
• Pythagorean Theorem
• Similarity
• Volume and Surface Area

Unit 5 - Statistics

Problem set for this unit

• Organizing Data
• Populations and Sampling
• Measures of Center
• Measures of Variation
• Measures of Relative Standing

Unit 6 - Probability

Problem set for this unit

• Introduction to Probability
• Principles of Counting
• Theoretical Probability
• Random Variables and Expected Value