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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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