Figuring Out Fluency - Multiplication and Division With Fractions and Decimals

A Classroom Companion
Jennifer M. Bay-Williams - University of Louisville, KY
John J. SanGiovanni - Howard Public School System
Figuring Out Fluency - Multiplication and Division With Fractions and Decimals
March 2022 | 224 pages | Corwin
Create Flyer

Purchase

eBook
ISBN: 9781071825938
Available from January 0001
Paperback
ISBN: 9781071825921
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: Multiplication and Division with Fractions and Decimals. 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 multiplying and dividing fractions and decimals, including worked examples, routines, games, and centers
  • Find activities for assessing all components of multiplication and division fluency for fractions and decimals, 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 Good (and Necessary) Foundations for Reasoning Strategies
  • Module 2: Break Apart (by Addends) and Partial Products
  • Module 3: Compensation for Multiplying Fractions and Decimals
  • Module 4: Break Apart to Multiply (by Factors)
  • Module 5: Think Multiplication
  • Module 6: Partial Quotients
  • Module 7: Algorithms for Fraction Multiplication and Division
  • Module 8: Algorithms for Decimal Multiplication and Division

PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY

PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY

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: Multiplication and Division with Fractions and Decimals. 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 multiplying and dividing fractions and decimals, including worked examples, routines, games, and centers
  • Find activities for assessing all components of multiplication and division fluency for fractions and decimals, 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 Good (and Necessary) Foundations for Reasoning Strategies
  • Module 2: Break Apart (by Addends) and Partial Products
  • Module 3: Compensation for Multiplying Fractions and Decimals
  • Module 4: Break Apart to Multiply (by Factors)
  • Module 5: Think Multiplication
  • Module 6: Partial Quotients
  • Module 7: Algorithms for Fraction Multiplication and Division
  • Module 8: Algorithms for Decimal Multiplication and Division

PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY

PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY

SAGE Publishing Logo

Figuring Out Fluency - Multiplication and Division With Fractions and Decimals

A Classroom Companion


March 2022 | 224 pages | Corwin

Format Published Date ISBN Price
Paperback 01/02/2026 9781071825921 $40.95
Lifetime 01/02/2026 9781071825938 $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: Multiplication and Division with Fractions and Decimals. 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 multiplying and dividing fractions and decimals, including worked examples, routines, games, and centers
  • Find activities for assessing all components of multiplication and division fluency for fractions and decimals, 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 Good (and Necessary) Foundations for Reasoning Strategies
  • Module 2: Break Apart (by Addends) and Partial Products
  • Module 3: Compensation for Multiplying Fractions and Decimals
  • Module 4: Break Apart to Multiply (by Factors)
  • Module 5: Think Multiplication
  • Module 6: Partial Quotients
  • Module 7: Algorithms for Fraction Multiplication and Division
  • Module 8: Algorithms for Decimal Multiplication and Division
  • PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY

Recent Product Reviews:

This book places mathematical thinking front and center! The authors make the compelling case using myriad examples that fluency requires reasoning and relies on conceptual understanding. They provide a treasure trove of engaging activities teachers can use to help their students develop fluency with fractions and decimals. If you want your students to confidently choose and flexibly use a range of strategies when working with fractions and decimals, you must read this book!
Grace Kelemanik, Co-Founder, Fostering Math Practices
As a high school mathematics teacher, I listened year after year to students who said they lost their passion for mathematics right around the time they began to learn fractions. Thankfully, Figuring Out Fluency—Multiplication and Division With Fractions and Decimals is a book designed to make fractions more accessible and understood by all students. The book is a must-read for mathematics educators. This book clearly defines fluency and also shares action steps and strategies teachers can employ to help students develop a deeper understanding of, and fluency with, fractions and decimals.
Mona Toncheff, President, National Council of Supervisors of Mathematics (2019–2021), Preservice Teacher Supervisor, University of Arizona, Author and Educational Consultant, Former District Mathematics Content Specialist and High School, Mathematics Teacher
This book is such an eye-opener for providing interventions and strategies for students and supporting teachers that I coach. Fluency isn’t about timed tests or ‘drill and kill’ but providing students with rich discourse, games, tasks, routines, and more. I’m so excited to delve into this much-needed resource more.
Tomika R. Altman, Math/Science Specialist, Seawell Elementary School
Figuring Out Fluency—Multiplication and Division With Fractions and Decimals is an essential resource for math educators who teach fraction and decimal operations. This companion book connects the strategies introduced in the anchor book to multiplying and dividing with decimals and fractions. The explicit strategy instruction provided in the book allows access for ALL students in a practical, hands-on approach. This is a go-to for all math educators, coaches, specialists, and interventionists!
Nichole DeMotte, K–5 Mathematics Coach, Atkinson Academy
A needed addition to mathematics education! This book establishes a broader definition of fluency and emphasizes the importance of helping students develop and use relationships and strategies to solve problems. Bay-Williams, SanGiovanni, Martinie, and Suh outline which major relationships and strategies students need to develop stronger mathematical reasoning!
Pam Harris, Owner of Math is Figureoutable

Recommendations