**Course Prerequisites/Corequisites:** MATH 133 and a passing score on the mathematics portion of the ASSET Examination.

**Course Description:**

Sets, functions, logic, numeration theory, advanced definition perspectives, arithmetic operations (properties and algorithms), rational numbers, system of real numbers, and mathematical applications. Problem solving emphasized.

**Required Reading/Textbook:** A Problem Solving Approach to Mathematics for Elementary School Teachers, 11th Edition by Billstein, Rick | Libeskind, Shlomo | Lott, Johnny; Publisher: Pearson Math & Statistics.

**Major Assignments/Exams**

- Homework
- Quizzes
- Exams
- Final Exam

**List of Discussion/Lecture Topics**

- An Introduction to Problem Solving (weeks 1, 2 & 3)
- Mathematics and Problem-solving
- Explorations with Patterns
- Reasoning and Logic: An Introduction

- Numeration Systems and Sets (weeks 4, 5 & 6)
- Numeration Systems
- Describing Sets
- Other Set Operations and Their Properties

- Whole Numbers and Their Operations (weeks 7 & 8)
- Addition and Subtraction of Whole Numbers
- Algorithms for Whole-number Addition and Subtraction
- Multiplication and Division of Whole Numbers
- Algorithms for Whole-number Multiplication and Division
- Mental Mathematics and Estimation for Whole-number operations

- Number Theory (weeks 9, 10)
- Divisibility
- Prime and Composite Numbers
- Greatest Common Divisor and Least Common Multiple

- Integers (week 11)
- Integers and the Operations of Addition and Subtraction
- Multiplication and Division of Integers

- Rational Numbers and Proportional Reasoning (week 12)
- The Set of Rational Numbers
- Addition, Subtraction, and Estimation with Rational Number
- Multiplication and Division of Rational Numbers
- Ratios, Proportions, and Proportional Reasoning

- Decimals: Rational Numbers and Percent (weeks 13 & 14)
- Introduction to Decimals
- Operations on Decimals
- Nonterminating Decimals
- Percent and Interests

- Real Numbers and Algebraic Thinking (weeks 14, 15)
- Real Numbers
- Variables
- Equations
- Functions

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