Features and Benefits

Introduction

  • Defining Numerical Fluency
  • The Challenge: Teaching in Ways We Were Not Taught
  • Our Goals for This Book

PART ONE: Building Understanding of Numerical Fluency

Chapter 1: Nine Pivotal Understandings for Numerical Fluency

  • Pivotal Understanding 1: Everything Begins with Counting
  • Pivotal Understanding 2: All Quantities are Composed of Parts and Wholes
  • Pivotal Understanding 3: Acquiring the Language of Operations Before Learning Facts
  • Pivotal Understanding 4: Properties of Operations
  • Pivotal Understanding 5: Using 5 and 10
  • Pivotal Understanding 6: 9 and 10-1 are the Same Number
  • Pivotal Understanding 7: Multiplication by 2, 3, 5, and 10
  • Pivotal Understanding 8: Equivalence in Equations are the Meaning of the Equal Sign
  • Pivotal Understanding 9: Place Value Understanding

Chapter 2: Six Processes for Developing Numerical Fluency

  • The Six Processes
  • Putting the Six Processes Together
  • Conclusion

Chapter 3: Classroom Structures for Developing Numerical Fluency

  • Guiding Principles for Teaching Structures
  • Number Talks
  • Games
  • Word Problem Banks
  • Problem-Solving Activities
  • Student-Made Materials
  • Conclusion

PART TWO: Developing Addition and Subtraction Fluency

Chapter 4: It All Begins with Parts and Wholes

  • Why Parts and Wholes Matter
  • Key Ideas and Skills
  • Classroom Activities

Chapter 5: Developing Fluency with Addition and Subtraction Facts

  • Key Ideas and Skills
  • Classroom Activities

Chapter 6: Developing Fluency Finding Sums and Differences

  • Key Ideas and Skills
  • Classroom Activities

PART THREE: Developing Multiplication and Division Fluency

Chapter 7: Giving Meaning to Multiplication and Division

  • Key Ideas and Skills
  • Classroom Activities

Chapter 8: Developing Fluency with Multiplication and Division Facts

  • Key Ideas and Skills
  • Classroom Activities

Chapter 9: Developing Fluency Finding Products and Quotients

  • Key Ideas and Skills
  • Classroom Activities

PART FOUR: Strategies for Creating a Schoolwide Culture of Fluency

Chapter 10: Activities and Resources for Establishing a Culture of Fluency and Fun

Chapter 11: It Takes a School to Develop Numerical Fluency

  • Making Better Use of Meetings
  • Teacher Collaboration
  • Garnering Administrative Support

Appendix

References