A Problem Solving Approach to Mathematics for Elementary School Teachers.

An Introduction to Problem Solving 1-1 Mathematics and Problem Solving 1-2 Explorations with Patterns 1-3 Reasoning and Logic: An Introduction 2. Numeration Systems and Sets 2-1 Numeration Systems 2-2 Describing Sets 2-3 Other Set Operations and Their Properties 3. Whole Numbers and Their Operations 3-1 Addition and Subtraction of Whole Numbers 3-2 Algorithms for Whole-Number Addition and Subtraction 3-3 Multiplication and Division of Whole Numbers 3-4 Algorithms for Whole-Number Multiplication and Division 3-5 Mental Mathematics and Estimation for Whole-Number Operations 4. Algebraic Thinking 4-1 Variables 4-2 Equations 4-3 Functions 5. Integers and Number Theory 5-1 Integers and the Operations of Addition and Subtraction 5-2 Multiplication and Division of Integers 5-3 Divisibility 5-4 Prime and Composite Numbers 5-5 Greatest Common Divisor and Least Common Multiple 5-6 *Clock and Modular Arithmetic 6. Rational Numbers as Fractions 6-1 The Set of Rational Numbers 6-2 Addition and Subtraction of Rational Numbers 6-3 Multiplication and Division of Rational Numbers 7. Decimals and Real Numbers 7-1 Introduction to Decimals 7-2 Operations on Decimals 7-3 Nonterminating Decimals 7-4 Real Numbers 7-5 Using Real Numbers in Equations 8. Proportional Reasoning, Percents and Applications 8-1 Ratios, Proportions and Proportional Reasoning 8-2 Percents 8-3 Computing Interest 9. Probability 9-1 How Probabilities are Determined 9-2 Multistage Experiments with Tree Diagrams and Geometric Probabilities 9-3 Using Simulations in Probability 9-4 Odds, Conditional Probability, and Expected Value 9-5 Using Permutations and Combinations in Probability 10. Data Analysis/Statistics: An Introduction 10-1 Displaying Data: Part I 10-2 Displaying Data: Part II 10-3 Measures of Central Tendency and Variation 10-4 Designing Experiments/Collecting Data 10-5 Abuses of Statistics 11. Introductory Geometry 11-1 Basic Notions 11-2 Polygons 11-3 More about Angles 11-4 Geometry in Three Dimensions 11-5 *Networks 12. Constructions, Congruence, and Similarity 12-1 Congruence through Constructions 12-2 Other Congruence Properties 12-3 Other Constructions 12-4 Similar Triangles and Similar Figures 12-5 *Trigonometry Ratios via Similarity 12-6 Lines and Linear Equations in a Cartesian Coordinate System 13. Concepts of Measurement 13-1 Linear Measure 13-2 Areas of Polygons and Circles 13-3 The Pythagorean Theorem, Distance Formula, and Equation of a Circle 13-4 Surface Areas 13-5 Volume, Mass, and Temperature 14. Motion Geometry and Tessellations 14-1 Translations and Rotations 14-2 Reflections and Glide Reflections 14-3 Size Transformations 14-4 Symmetries 14-5 Tessellations of the Plane The Appendices are now full chapters to help students with specific technology tools: Using a Spreadsheet, Graphing Calculators, and Using a Geometry Drawing Utility. These chapters are available in the Technology Manual, which can be shrink-wrapped at no additional cost with the new textbook. See 'Packages' tab for ordering information. Answers to All/Selected Exercises Index Photo Acknowledgments *Optional Sections