  # math 235:Structure and Application of the Number System (3)

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

1. An Introduction to Problem Solving (weeks 1, 2 & 3)
• Mathematics and Problem-solving
• Explorations with Patterns
• Reasoning and Logic: An Introduction
1. Numeration Systems and Sets (weeks 4, 5 & 6)
• Numeration Systems
• Describing Sets
• Other Set Operations and Their Properties
1. 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
1. Number Theory (weeks 9, 10)
• Divisibility
• Prime and Composite Numbers
• Greatest Common Divisor and Least Common Multiple
1. Integers (week 11)
• Integers and the Operations of Addition and Subtraction
• Multiplication and Division of Integers
1. 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
1. Decimals: Rational Numbers and Percent (weeks 13 & 14)
• Introduction to Decimals
• Operations on Decimals
• Nonterminating Decimals
• Percent and Interests
1. Real Numbers and Algebraic Thinking (weeks 14, 15)
• Real Numbers
• Variables
• Equations
• Functions

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