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  5. Elementary and Middle School Mathematics: Teaching Developmentally: The Professional Development Edition for Mathematics Coaches and Other Teacher Leaders

Elementary and Middle School Mathematics: Teaching Developmentally: The Professional Development Edition for Mathematics Coaches and Other Teacher Leaders, 1st edition

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

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Elementary and Middle School MathematicsTeaching Developmentally, Professional Development Edition provides unparalleled depth of ideas and discussion to help mathematics coaches and other teacher leaders foster teachers’ understanding of the mathematics they will teach and the most effective teaching methods for the various mathematics topics. This text reflects the philosophy of the NCTM and Common Core State Standards and the benefits of problem-based mathematics instruction. The Coach/Teacher Leader Guide to this Book and Activities Matrix that appear at the front of the book and Professional Learning Opportunities sections, Coach/Teacher Leader Considerations boxes, and PDToolkit boxes that appear at the end of each chapter ensure this book is a valuable resource for all educators who facilitate mathematics professional development and support students making sense of mathematics.


A complimentary access code for the online PDToolkit ( inside every new book gives mathematics leaders access to:

  • Videos highlighting student mathematical thinking
  • Downloadable tools and templates
  • Expanded lessons
  • Blackline masters
  • Children’s literature matrix


To access PDToolkit for the first time:


You will need to register online using a computer with an Internet connection and a web browser. The process takes just a couple of minutes and only needs to be completed once.

  1. Go to
  2. Select your book.
  3. Under Register, select your user type: K-12 Teacher, College Instructor, or College Student
  4. Click Register Here.
  5. If you have an existing Pearson account, enter it.  If you do not, follow the prompts to make a Pearson account.
  6. Enter your access code* found beneath the pull tab.  Do not type the dashes. You can use lowercase or uppercase letters.
  7. Follow the on-screen instructions.  If you need help at any time during the online registration process, simply click the Need Help? Icon.
  8. Once you have successfully registered, you can begin using the PDToolkit!


You only need to register for the PDToolkit once. After that, you can log in any time at by providing your Login Name and Password when prompted.


*Important: Each access code can only be used once. The subscription is valid for six months upon activation and is not transferable. If the access code has already been revealed, it may no longer be valid. If this is the case, you can purchase a subscription by going to and following the on-screen instructions

Table of contents


Coach/Teacher Leader Guide to this Book

Activities Matrix


Section 1: Teaching Mathematics: Foundations and Perspectives


Chapter 1 Teaching Mathematics in the 21st Century                      

Chapter 2 Exploring What it Means to Know and Do Mathematics

Chapter 3 Teaching through Problem Solving

Chapter 4 Planning in the Problem-Based Classroom

Chapter 5 Building Assessment into Instruction

Chapter 6 Teaching Mathematics Equitably to All Children

Chapter 7 Using Technological Tools to Teach Mathematics


Section 2: Development of Mathematical Concepts and Procedures


Chapter 8 Developing Early Number Concepts and Number Sense

Chapter 9 Developing Meanings for the Operations

Chapter 10 Helping Students Master the Basic Facts

Chapter 11 Developing Whole-Number Place-Value Concepts

Chapter 12 Developing Strategies for Addition and Subtraction Computation

Chapter 13 Developing Strategies for Multiplication and Division Computation

Chapter 14 Algebraic Thinking: Generalizations, Patterns, and Functions

Chapter 15 Developing Fraction Concepts

Chapter 16 Developing Strategies for Fraction Computation

Chapter 17 Developing Concepts of Decimals and Percents

Chapter 18 Proportional Reasoning

Chapter 19 Developing Measurement Concepts

Chapter 20 Geometric Thinking and Geometric Concepts

Chapter 21 Developing Concepts of Data Analysis

Chapter 22 Exploring Concepts of Probability

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

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Published by Pearson (March 23rd 2012) - Copyright © 2013