Figuring Out Fluency - Addition and Subtraction 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 - Addition and Subtraction With Fractions and Decimals
December 2021 | 240 pages | Corwin
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eBook
ISBN: 9781071825976
Available from January 0001
Paperback
ISBN: 9781071825983
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 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 adding and subtracting fractions and decimals, including worked examples, routines, games, and centers
  • Find activities for assessing all components of addition and subtraction 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 Foundations for Reasoning Strategies
  • Module 2 Count On/Count Back Strategy
  • Module 3 Make a Whole Strategy
  • Module 4 Think Addition Strategy
  • Module 5 Compensation Strategy
  • Module 6 Partial Sums and Differences Strategy
  • Module 7 Standard Algorithms

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: Addition and Subtraction 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 adding and subtracting fractions and decimals, including worked examples, routines, games, and centers
  • Find activities for assessing all components of addition and subtraction 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 Foundations for Reasoning Strategies
  • Module 2 Count On/Count Back Strategy
  • Module 3 Make a Whole Strategy
  • Module 4 Think Addition Strategy
  • Module 5 Compensation Strategy
  • Module 6 Partial Sums and Differences Strategy
  • Module 7 Standard Algorithms

PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY

PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY

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Figuring Out Fluency - Addition and Subtraction With Fractions and Decimals

A Classroom Companion


December 2021 | 240 pages | Corwin

Format Published Date ISBN Price
Paperback 01/02/2026 9781071825983 $40.95
Lifetime 01/02/2026 9781071825976 $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 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 adding and subtracting fractions and decimals, including worked examples, routines, games, and centers
  • Find activities for assessing all components of addition and subtraction 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 Foundations for Reasoning Strategies
  • Module 2 Count On/Count Back Strategy
  • Module 3 Make a Whole Strategy
  • Module 4 Think Addition Strategy
  • Module 5 Compensation Strategy
  • Module 6 Partial Sums and Differences Strategy
  • Module 7 Standard Algorithms
  • PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY

Recent Product Reviews:

This will be a partial adoption. I don't know that I will use the whole book, but I definitely will be using the chapter on making sense of the standard algorithms as a supplement to my other text.
Dr Jenny Sagrillo, Curriculum Instruction Dept, Univ Of Wisconsin-Milwaukee
"Figuring Out Fluency—Addition and Subtraction With Fractions and Decimals is a must-read book to ensure students develop computational fluency through brilliant targeted strategies to help students work with fractions and decimals flexibly. The authors provide clear examples, strategies grounded in research and best practice, and student-centered engaging games to help each and every student develop computational fluency while developing their math identity and agency! The clever games can be used both in class with students and shared with families! As a former middle school mathematics teacher and K–5 coach, I can see that this book is a must-have for all mathematics teachers, interventionists, support staff, and coaches."
Georgina Rivera, Bristol Public Schools, CT
"It can be extremely difficult not to fall back on rules and procedures when trying to navigate fluency with fractions and decimals. Thankfully, Figuring Out Fluency offers a conceptual roadmap that every teacher can turn to as they look to build meaningful fluency in their classroom."
Graham Fletcher, McDonough, GA
"These strategies, routines, games, and centers are the perfect companion pieces to the math instruction I provide in my classroom daily. I appreciate the strategy briefs for families so they can support their child at home. Every teacher needs this book!"
Andrea Fields, Woodrow Wilson Elementary, Manhattan, KS
"This is the resource that the educational world has been wishing and waiting for! This carefully crafted guide tackles mathematical concepts that traditionally leave students confused and teachers frustrated! It will inspire and support educators in their journey to integrate rigorous, high-quality fluency practice."
Allyson Lyman, Emporia Public Schools, Emporia, KS

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