Catalog Description: PROBLEM SOLVING IN MATHEMATICS (3) Mathematical ways of thinking, number sequences, numeracy, symmetry, regular polygon, plane curves, methods of counting, probability and data analysis. For elementary education students only.

Text: A Problem Solving Approach to Mathematics for Elementary School Teachers, Eighth Edition, Billstein, Libeskind, Lott. Addison-Wesley.

CHAPTER 1     AN INTRODUCTION TO PROBLEM SOLVING
1.1	Exploration of Patterns

CHAPTER 2     SETS, WHOLE NUMBERS, AND FUNCTIONS
2.1	Describing Sets
2.2	Other Set Operations and Their Properties
2.3	Addition and Subtraction of Whole Numbers
2.4	Multiplication and Division of Whole Numbers 
2.5	Functions

CHAPTER 3     WHOLE-NUMBER COMPUTATION
3.1	Numeration Systems
3.2	Algorithms for Whole-number Addition and Subtraction
3.3	Algorithms for Whole-number Multiplication and Division

CHAPTER 4     INTEGERS AND NUMBER THEORY
4.1	Integers and the Operations of Addition and Subtraction
4.2	Multiplication and Division of Integers
4.3	Divisibility
4.4	Prime and Composite Numbers
4.5	Greatest Common Divisor and Least Common Multiple

CHAPTER 5     RATIONAL NUMBERS AS FRACTIONS
5.1     The Set of Rational Numbers
5.2	Addition and Subtraction of Rational Numbers
5.3	Multiplication and Division of Rational Numbers
5.4     Proportional Reasoning


CHAPTER 6    DECIMALS, PERCENTS AND REAL NUMBERS
6.1	Introduction to Decimals
6.2	Operations on Decimals
6.3	Nonterminating Decimals
6.4	Percents
6.6     Real Numbers

CHAPTER 7    PROBABILITY
7.1	How Probabilities Are Determined
7.2	Multistage Experiments with Tree Diagrams
7.4     Odds 

CHAPTER 8    STATISTICS : An Introduction 
8.1	Statistical Graphs
8.2     Measures of Central Tendency and Variation

CHAPTER 9     INTRODUCTORY GEOMETRY
9.1	Basic Notations
9.2     Polygons
9.3     More About Angles

CHAPTER 10    CONSTRUCTIONS, CONGRUENCE, AND SIMILARITY
10.1	Congruence Through Constructions
10.2	Other Congruence Properties
10.4    Similar Triangles and Similar Figures

CHAPTER 11     CONCEPTS OF MEASUREMENT
11.1	Linear Measure
11.2	Areas of Polygons and Circles
11.3	The Pythagorean Theorem
11.5    Volume

CHAPTER 12    MOTION GEOMETRY
12.4    Symmetries

SPRING 2004