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Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8
Moving Beyond Basic Facts and Memorization

Foreword by Christina Tondevold, Because fluency practice is not a worksheet

June 2021 | 264 pages | Corwin

Because fluency practice is not a worksheet. 

Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand.

Figuring Out Fluency in Mathematics Teaching and Learning offers 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. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes:

  •  “Seven Significant Strategies” to teach to students as they work toward procedural fluency.
  •  Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency.
  • Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency.
  • Suggestions for engaging families in understanding and supporting fluency.

Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Foreword by Christina Tondevold
What Does Fluency Really Mean and Why Does it Matter?
Fluency Fallacies and Related Truths
Good (and Necessary) Beginnings for Fluency
Seven Significant Strategies for Developing Fluency
Automaticity Beyond the Basic Facts
Fluency Practice is Not a Worksheet
Beyond Accuracy: What We Need to Assess and the Tools to Do It
Engaging Families in Fluency
Fluency Is the Focus: Planning, Agreement, and Action
Appendix A: Activity List
Appendix B: Strategies and Automaticities Reference Page

Everything you need and want to know about fluency is clearly spelled out in Jennifer Bay-Williams and John SanGiovanni’s masterful new book, Figuring Out Fluency in Mathematics Teaching and Learning! This incredibly amazing resource defines what fluency is along with specific actions teachers need to take to help students understand, choose, and use effective strategies. A must-have for all math coaches and every K–8 teacher, this book provides practical tools, great activities, and fun games! After reading this book, everyone will understand that mastery, fluency, and automaticity are just not the same thing!

Ruth Harbin Miles
University Adjunct, Mathematics, Mary Baldwin University
Staunton, VA

In this practical and comprehensive resource Jennifer Bay-Williams and John SanGiovanni take a deep dive into one of the often-misinterpreted components of rigorous mathematics instruction—procedural fluency. Along with thorough explanations, engaging mathematical routines, tasks, and games, the authors offer a ‘just-right’ amount of research to ground each of the claims to powerful instruction in mathematics. This is a timely good-for-all, necessary-for-some resource for teaching/learning in mathematics.

Yana Ioffe
Former Elementary School Principal and Preservice Faculty Advisor at Nipissing University
North Bay, Ontario, Canada

Figuring Out Fluency in Mathematics Teaching and Learning provides a masterful approach to unpacking the meaning of mathematical fluency while investigating widely held fallacies. The authors provide a plethora of high-cognitive demand activities that teach and develop fluency. These activities are sure to become my go-to resources for implicitly teaching fluency!

Melynee Naegele, President
Oklahoma Council of Teachers of Mathematics; Moderator, #ElemMathChat; Educator Leadership Council, EF+Math; Special Education Instructional Coach
Claremore (OK) Public Schools

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ISBN: 9781071818428