Figuring Out Fluency - Addition and Subtraction With Whole Numbers

A Classroom Companion
John J. SanGiovanni - Howard Public School System
Jennifer M. Bay-Williams - University of Louisville, KY
Figuring Out Fluency - Addition and Subtraction With Whole Numbers
July 2021 | 192 pages | Corwin
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eBook
ISBN: 9781071825105
Available from January 0001
Paperback
ISBN: 9781071825099
Available from January 0001

Description

Because fluency practice is not a worksheet.

Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. 

The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Addition and Subtraction with Whole Numbers. With this book, teachers can:

Dive deeper into the Significant Strategies for fluency explained in the anchor book
Learn how these strategies grow from and relate to the basic fact strategies children learn 
Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in adding and subtracting multi-digit whole numbers, including worked examples, routines, games, and centers
Find activities for assessing all components of addition and subtraction fluency plus support for engaging families 
Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation.

Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers. 
 

Contents

PART 1: FIGURING OUT FLUENCY: KEY IDEAS

PART 1: FIGURING OUT FLUENCY: KEY IDEAS

PART 2: STRATEGY MODULES

  • Module 1 Count On/Count Back Strategy
  • Module 2 Make Tens (and Hundreds and Thousands)
  • Module 3 Partial Sums and Differences Strategy
  • Module 4 Compensation Strategy
  • Module 5 Think Addition Strategy
  • Module 6 Standard Algorithms for Addition and Subtraction

PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY

PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY

APPENDIX: TABLES OF ACTIVITIES

APPENDIX: TABLES OF ACTIVITIES

REFERENCES

REFERENCES

Description

Because fluency practice is not a worksheet.

Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. 

The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Addition and Subtraction with Whole Numbers. With this book, teachers can:

Dive deeper into the Significant Strategies for fluency explained in the anchor book
Learn how these strategies grow from and relate to the basic fact strategies children learn 
Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in adding and subtracting multi-digit whole numbers, including worked examples, routines, games, and centers
Find activities for assessing all components of addition and subtraction fluency plus support for engaging families 
Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation.

Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers. 
 

Contents

PART 1: FIGURING OUT FLUENCY: KEY IDEAS

PART 1: FIGURING OUT FLUENCY: KEY IDEAS

PART 2: STRATEGY MODULES

  • Module 1 Count On/Count Back Strategy
  • Module 2 Make Tens (and Hundreds and Thousands)
  • Module 3 Partial Sums and Differences Strategy
  • Module 4 Compensation Strategy
  • Module 5 Think Addition Strategy
  • Module 6 Standard Algorithms for Addition and Subtraction

PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY

PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY

APPENDIX: TABLES OF ACTIVITIES

APPENDIX: TABLES OF ACTIVITIES

REFERENCES

REFERENCES

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Figuring Out Fluency - Addition and Subtraction With Whole Numbers

A Classroom Companion


July 2021 | 192 pages | Corwin

Format Published Date ISBN Price
Paperback 01/02/2026 9781071825099 $40.95
Lifetime 01/02/2026 9781071825105 $37.00

Because fluency practice is not a worksheet.

Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. 

The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Addition and Subtraction with Whole Numbers. With this book, teachers can:

Dive deeper into the Significant Strategies for fluency explained in the anchor book
Learn how these strategies grow from and relate to the basic fact strategies children learn 
Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in adding and subtracting multi-digit whole numbers, including worked examples, routines, games, and centers
Find activities for assessing all components of addition and subtraction fluency plus support for engaging families 
Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation.

Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers. 
 

Table Of Contents:

  • PART 1: FIGURING OUT FLUENCY: KEY IDEAS
  • PART 2: STRATEGY MODULES
  • Module 1 Count On/Count Back Strategy
  • Module 2 Make Tens (and Hundreds and Thousands)
  • Module 3 Partial Sums and Differences Strategy
  • Module 4 Compensation Strategy
  • Module 5 Think Addition Strategy
  • Module 6 Standard Algorithms for Addition and Subtraction
  • PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY
  • APPENDIX: TABLES OF ACTIVITIES
  • REFERENCES

Recent Product Reviews:

“This text provides a clear definition of what fluency really is and provides strategies to deepen students’ number sense and make them fluent mathematicians.”
Meghan Schofield
“I wish I’d had this book when I was in the classroom 10 years ago. The authors clearly lay out a pathway to procedural fluency, including intentional activities to understand and practice specific strategies, while also advocating for space for students to make decisions and feel empowered as mathematical thinkers and doers.”
Kristine M. Gettelman, CenterPoint Education
“This book is a must-read for teachers wanting to learn more about focused math fluency instruction. The steps are clear and easy to follow. You will have all the steps to help your students become fluent math thinkers.”
Carly Morales, District 93
“Are you ready to help your students connect their Number Talks and number routines to the real world? Figuring Out Fluency will give you the routines, games, protocols, and resources you need to help your students build their fluency in number sense (considering reasonableness, strategy selection, flexibility, and more). Our students deserve the opportunity to build a positive and confident mathematics identity. We can help support them to build this identity by providing them with access to a variety of strategies and the confidence to know when to use them.”
Sarah Gat, Upper Grand District School Board
“Figuring Out Fluency goes beyond other resources currently on the market. It not only provides a robust collection of strategies and routines for developing fluency but also pays critical attention to the ways teachers can empower each and every student as a mathematical thinker who can make strategic decisions about their computation approaches. If you are looking for instruction and assessment approaches for fluency that move beyond getting the right answer, this is the resource for you.”
Nicole Rigelman, Portland State University

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