Elementary and Middle School Mathematics: Teaching Developmentally

(Teaching Student-Centered Mathematics Series)

John A. Van de Walle, Karen S. Karp e Jennifer M. Bay-Williams 

Pearson | 2012 - 8.ª edição | 575 páginas | rar - pdf | 23,4 Mb

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Written by leaders in the field, this best-selling book will guide teachers as they help all Pre-K — 8 learners make sense of math by supporting their own mathematical understanding and effective planning and instruction.

Elementary and Middle School Mathematics: Teaching Developmentallywas written to help teacher candidates and practicing teachers understand mathematics and become more confident in their ability to teach the subject to children in pre-K through eighth grade. Structured for easy reference, offering 23 chapters reflecting the latest research to consult throughout one’s teaching career, the revised edition infuses NCTM and Common Core State Standards with the benefits of problem-based mathematics instruction.
The Eighth Edition better prepares teachers to teach mathematics to all learners by including new strategies for English language learners and students with disabilities. The amount of coverage relating to mathematics in early childhood has been increased. More activities infusing technology and samples of authentic student work are introduced. Increased emphasis on formative assessment, showcased with an icon and notes throughout, guide teachers to master this difficult practice.

Contents

Section I Teaching Mathematics: Foundations and Perspectives

Chapter 1 T eaching Mathematics in the 21st Century 1

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

Chapter 3 Teaching Through Problem Solving 32

Chapter 4 Planning in the Problem-Based Classroom 59

Chapter 5 Building Assessment into Instruction 78

Chapter 6 T eaching Mathematics Equitably to All Children 94

Chapter 7 Using Technological Tools to Teach Mathematics 113

Section II Development of Mathematical Concepts and Procedures

Chapter 8 Developing Early Number Concepts and Number Sense 128

Chapter 9 D eveloping Meanings for the Operations 148

Chapter 10 H elping Students Master the Basic Facts 171

Chapter 11 Developing Whole-Number Place-Value Concepts 192

Chapter 12 D eveloping Strategies for Addition and Subtraction Computation 216

Chapter 13 D eveloping Strategies for Multiplication and Division Computation 236

Chapter 14 Algebraic Thinking: Generalizations, Patterns, and Functions 258

Chapter 15 Developing Fraction Concepts 290

Chapter 16 Developing Strategies for Fraction Computation 315

Chapter 17 Developing Concepts of Decimals and Percents 338

Chapter 18 Proportional Reasoning 357

Chapter 19 Developing Measurement Concepts 375

Chapter 20 Geometric Thinking and Geometric Concepts 402

Chapter 21 Developing Concepts of Data Analysis 434

Chapter 22 Exploring Concepts of Probability 454

Chapter 23 Developing Concepts of Exponents, Integers, and Real Numbers 472

Appendix A Standards for Mathematical Practice 491

Appendix B Standards for Teaching Mathematics 493

Appendix C G uide to Blackline Masters 495