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Elementary and Middle School Mathematics


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Table of Contents

SECTION I Teaching Mathematics: Foundations and Perspectives

CHAPTER 1 Teaching Mathematics in the 21st Century 1

CHAPTER 2 Exploring What It Means to Know and Do Mathematics 13

CHAPTER 3 Teaching through Problem Solving 33

CHAPTER 4 Planning in the Problem-Based Classroom 57

CHAPTER 5 Creating Assessments for Learning 84

CHAPTER 6 Teaching Mathematics Equitably to All Children 104

CHAPTER 7 Using Technological Tools to Teach Mathematics 127

SECTION II Development of Mathematical Concepts and Procedures

CHAPTER 8 Developing Early Number Concepts and Number Sense 142

CHAPTER 9 Developing Meanings for the Operations 167

CHAPTER 10 Developing Basic Fact Fluency 194

CHAPTER 11 Developing Whole-Number Place-Value Concepts 222

CHAPTER 12 Developing Strategies for Addition and Subtraction Computation 247

CHAPTER 13 Developing Strategies for Multiplication and Division Computation 277

CHAPTER 14 Algebraic Thinking, Equations, and Functions 299

CHAPTER 15 Developing Fraction Concepts 339

CHAPTER 16 Developing Fraction Operations 371

CHAPTER 17 Developing Concepts of Decimals and Percents 403

CHAPTER 18 Ratios, Proportions, and Proportional Reasoning 429

CHAPTER 19 Developing Measurement Concepts 453

CHAPTER 20 Geometric Thinking and Geometric Concepts 488

CHAPTER 21 Developing Concepts of Data Analysis 526

CHAPTER 22 Exploring Concepts of Probability 558

CHAPTER 23 Developing Concepts of Exponents, Integers, and Real Numbers 582

APPENDIX A Standards for Mathematical Practice A-1

APPENDIX B NCTM Mathematics Teaching Practices: from Principles to Actions A-5

APPENDIX C Guide to Blackline Masters A-7

APPENDIX D Activities at a Glance A-13

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