*MATHEMATICS FOR ELEMENTARY TEACHERS*

*MATHEMATICS FOR ELEMENTARY TEACHERS*

#### Chapter 1: Topics in Logic

- Statements
- Quantifiers
- Counterexamples
- Compound Statements
- Conditional Statements
- More on Truth Tables
- Problem Solving Strategies

#### Chapter 2: Topics in Set Theory

- Introduction to Sets
- Venn Diagrams
- Cardinality
- Subsets
- Union & Intersection
- Complements
- The Cartesian Product

#### Chapter 3: Working with Whole Numbers

- Introduction & Representation Strategies
- Cardinal, Ordinal & Nominal Numbers
- Addition & Subtraction of Whole Numbers
- Properties & Representations of Addition & Subtraction
- Multiplication of Whole Numbers
- Properties & Representations of Multiplication
- Division of Whole Numbers
- Properties & Representations of Division
- Exponentiation & Exponent Properties

#### Chapter 4: Topics in Number Theory

- Prime & Composite Numbers
- Divisibility Rules for 2, 5 and 10
- Divisibility Rules for 3, 6 and 9
- Divisibility Rules for 7 and 11
- The Greatest Common Factor
- The Euclidean Algorithm
- The Lowest Common Multiple

#### Chapter 5: Working with Integers

- Introduction & Representation Strategies
- Addition & Subtraction of Integers
- Multiplication of Integers
- Division of Integers
- Exponentiation & Exponent Properties

#### Chapter 6: Working with Fractions and Decimal Numbers

- Introduction & Representation Strategies for Fractions
- Addition & Subtraction of Fractions
- Multiplication & Division of Fractions
- Fractional Powers & Radical Notation
- Introduction & Representation Strategies for Decimal Numbers
- Addition & Subtraction of Decimal Numbers
- Multiplication & Division of Decimal Numbers
- Terminating & Repeating Decimal Numbers
- Irrational Numbers & The Real Number System

#### Chapter 7: Topics in Algebra

- Representation Strategies
- Addition & Subtraction of Algebraic Expressions
- Multiplication & Division of Algebraic Expressions
- Factoring & Completing the Square
- Solving Algebraic Equations

#### Chapter 8: Topics in Geometry & Measurement

- ADD TOPICS

#### Chapter 9: Topics in Probability & Statistics

- ADD TOPICS

*ADDITIONAL TOPICS IN MATHEMATICS*

*ADDITIONAL TOPICS IN MATHEMATICS*

#### Chapter 10: Operations in Different Base Systems

- Addition & Subtraction in Various Base Systems
- Multiplication in Various Base Systems
- Division in Various Base Systems
- Fractions & Decimal Numbers in Various Base Systems
- An Introduction to Modular Arithmetic

#### Chapter 11: Additional Topics in Algebra

- Systems of Linear Equations
- Introduction to Matrices & Vectors
- Addition, Subtraction & Scalar Multiplication
- The Dot Product of Vectors
- Matrix Multiplication
- Inverse Matrices
- Revisiting Systems of Linear Equations

#### Chapter 12: Topics in Financial Mathematics

- ADD TOPICS

#### Chapter 13: Topics in the History of Mathematics

- ADD TOPICS