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

The ADA of 1990 provides civil rights protection for individual with disabilities. It guarantees equal opportunities for “qualified individuals” with disabilities in all public facilities, educational programs, activities, services and benefits. The ADA upholds and maintains compliance standards to ensure institutions of higher education policies, procedures and practices are non-discriminatory. Students needing academic accommodations should contact the Office of Disability Services at 713-313-7691