Middlesex Community College
MAT 130 - Elements of Mathematics I
Topic Outline
Text: A Problem Solving Approach to Mathematics For Elementary School Teachers, 9th
Edition, by Billstein, Libeskind, and Lott, Addison Wesley Higher Education, 2007
ISBN: 0-321-33179-6
The Sections we will be covering are as follows:
Chapter 1
1.1
1.2
1.3
1.4
Chapter 2
2.1
2.2
2.3
2.4
2.5
Chapter 3
3.1
3.2
3.3
3.4
Chapter 4
4.1
4.2
4.3
4.4
4.5
4.6
Chapter 5
5.1
5.2
5.3
5.4
An Introduction to Problem Solving
Mathematics and Problem Solving
Explorations with Patterns
Algebraic Thinking
Logic: An Introduction
Sets, Whole Numbers, and Functions
Describing Sets
Other Set Operations and Their Properties
Addition and Subtraction of Whole Numbers
Multiplication and Division of Whole Numbers
Functions
Numeration Systems and Whole-Number Computation
Numeration Systems
Algorithms for Whole Number Addition and Subtraction
Algorithms for Whole Number Multiplication and Division
Mental Mathematics and Estimation for Whole-Number Operations
Integers and Number Theory
Integers and the Operations of Addition and Subtraction
Multiplication and Division of Integers
Divisibility
Prime and Composite Numbers
Greatest Common Divisor and Least Common Multiple
Clock and Modular Arithmetic
Rational Numbers as Fractions
The Set of Rational Numbers
Addition and Subtraction of Rational Numbers
Multiplication and Division of Rational Numbers
Proportional Reasoning
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