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Figuring Out Fluency - Multiplication and Division With Whole Numbers
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Figuring Out Fluency - Multiplication and Division With Whole Numbers
A Classroom Companion



October 2021 | 224 pages | Corwin
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 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 multiplying and dividing multi-digit whole numbers, including worked examples, routines, games, and centers
Find activities for assessing all components of multiplication and division 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. 
 
 
PART 1: FIGURING OUT FLUENCY: KEY IDEAS
 
PART 2: STRATEGY MODULES
 
Module 1 Break Apart to Multiply Strategy
 
Module 2 Halve and Double Strategy
 
Module 3 Compensation Strategy
 
Module 4 Partial Products Strategy
 
Module 5 Think Multiplication Strategy
 
Module 6 Partial Quotients Strategy
 
Module 7 Standard Algorithms for Multiplication and Division
 
PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY
 
APPENDIX: TABLES OF ACTIVITIES
 
REFERENCES

Figuring Out Fluency – Multiplication and Division With Whole Numbers is a must-have for all educators who teach multi-digit multiplication and division. With a focus on equity embedded throughout, this practical, ready-to-use resource provides everything needed to teach students to become strategic thinkers while giving all children access to reasoning.”

Nichole DeMotte
Atkinson Academy

“This book—indeed this series—is a must-read for elementary and middle level teachers, coaches, and administrators. Within this resource you will find a synthesis of important research organized to help readers develop a clear and common understanding of fluency paired with a large collection of teaching activities that provide concrete ways to support students’ fluency development. Figuring Out Fluency provides a much-needed roadmap for teachers looking to increase computational proficiency with multiplication and division.”

Delise Andrews
Lincoln Public Schools

“The authors John J. SanGiovanni, Jennifer M. Bay-Williams, and Rosalba Serrano shine a bright light on how math fluency is the equity issue in mathematics education. How refreshing to have a book that equips math educators with the research and strategies to make a difference for all students! Let’s implement these strategy modules in this book and help kids figure out fluency once and for all!”

Kelly DeLong
Northern Kentucky University

In Figuring Out Fluency – Multiplication and Division With Whole Numbers, John J. SanGiovanni, Jennifer M. Bay-Williams, and Rosalba Serrano have provided readers with a thorough education that guides them through the entire fluency journey. Grounded in research and packed with illustrative examples, this book is a must-have that delivers practical strategies, tools, resources, and recommendations that will immediately enhance your practice. In a sea of books on fluency, this one stands out. In a word . . . wow!”

Alison J. Mello
Foxborough Public Schools

“John J. SanGiovanni, Jennifer M. Bay-Williams, and Rosalba Serrano hit the mark with Figuring Out Fluency – Multiplication and Division With Whole
Numbers. The activities are fun and engaging and encourage students to think more flexibly and fluently as they work with multiplication and division strategies. Bravo!”

Joshua Barnes

“The number one topic teachers grapple with every year is fluency. This companion book is an all-encompassing resource that takes the guess work out of multiplication and division fluency instruction and practice! With a focus on reasoning, understanding, and reasonableness, this is a practical, easy-to-follow guide for teachers. The strategy modules contain teaching prompts, routines, games, center activities, and a very critical component missing in most resources—strategy briefs for families.”

Marissa Walsh
Blue Springs School District
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ISBN: 9781071825211
£26.99