CiNii Books - A problem solving approach to mathematics for elementary school teachers

The new edition of this best-selling text includes a new focus on active and collaborative learning, while maintaining its emphasis on developing skills and concepts. With a wealth of pedagogical tools, as well as relevant discussions of standard curricula and assessments, this book will be a valuable textbook and reference for future teachers. With this revision, two new chapters are included to address the needs of future middle school teachers, in accordance to the NCTM Focal Points document. This is a standalone book, if you want the book/access card order the ISBN listed below: 0321573307 / 9780321573308 Problem Solving Approach to Mathematics for Elementary School Teachers plus MyMathLab Student Access Kit, A Package consists of: 0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access 0321570553 / 9780321570550 Problem Solving Approach to Mathematics for Elementary School Teachers, A 0321654064 / 9780321654069 MyMathLab Inside Star Sticker

Table of Contents

1. 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 Abuses of Statistics 10-5 Designing Experiments/Collecting Data (found online on the catalog page under "Take a Closer Look") 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 Lines and Linear Equations in a Cartesian Coordinate System 12-6 *Trigonometry Ratios via Similarity (found online on the catalog page under "Take a Closer Look") 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

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A problem solving approach to mathematics for elementary school teachers

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