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Figuring Out Fluency--Ten Foundations for Reasoning Strategies With Whole Numbers

A Classroom Companion

Because fluency practice is not a worksheet.

Fluency in mathematics is more than basic facts or using algorithms. It is not about recall or speed. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is 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. It explained the seven Significant Strategies for fluency and offered a plethora of pragmatic tools for shifting classrooms toward a greater fluency approach. However, in order to become truly adept with these strategies, children must first have certain underlying foundational concepts and skills in place.

Figuring Out Fluency-Ten Underlying Foundations for Reasoning Strategies with Whole Numbers explores the ideas that are essential to reasoning: Number Relationships; Subitizing and Decomposing; Distance to 10, 100, and 1,000; Counting and Skip-Counting; Properties of Addition and Its Inverse Relationship with Subtraction; Properties of Multiplication and Its Inverse Relationship with Division; Multiplying by 10s and 100s; Multiples and Factors; Doubling and Halving; and Computational Estimation. With this book, elementary teachers can

  • Help children develop these foundational understandings, critical to reasoning and number sense.
  • Leverage over 100 classroom-ready routines, centers, and games to develop these concepts both in first instruction, practice, and intervention.
  • Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation

Develop each and every students’ knowledge and power to become skilled and confident mathematical thinkers and doers.

Full description


Product Details
  • Grade Level: PreK-12
  • ISBN: 9781071916957
  • Published By: Corwin
  • Series: Corwin Mathematics Series
  • Year: 2024
  • Page Count: 280
  • Publication date: March 18, 2024
Price: $38.95
Volume Discounts applied in Shopping Cart

Review Copies

This book is not available as a review copy.
Description

Description

Because fluency practice is not a worksheet.

Fluency in mathematics is more than basic facts or using algorithms. It is not about recall or speed. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is 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. It explained the seven Significant Strategies for fluency and offered a plethora of pragmatic tools for shifting classrooms toward a greater fluency approach. However, in order to become truly adept with these strategies, children must first have certain underlying foundational concepts and skills in place.

Figuring Out Fluency-Ten Underlying Foundations for Reasoning Strategies with Whole Numbers explores the ideas that are essential to reasoning: Number Relationships; Subitizing and Decomposing; Distance to 10, 100, and 1,000; Counting and Skip-Counting; Properties of Addition and Its Inverse Relationship with Subtraction; Properties of Multiplication and Its Inverse Relationship with Division; Multiplying by 10s and 100s; Multiples and Factors; Doubling and Halving; and Computational Estimation. With this book, elementary teachers can

  • Help children develop these foundational understandings, critical to reasoning and number sense.
  • Leverage over 100 classroom-ready routines, centers, and games to develop these concepts both in first instruction, practice, and intervention.
  • Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation

Develop each and every students’ knowledge and power to become skilled and confident mathematical thinkers and doers.

Author(s)

Author(s)

John J. SanGiovanni photo

John J. SanGiovanni

John J. SanGiovanni is a mathematics coordinator in Howard County, Maryland. There, he leads mathematics curriculum development, digital learning, assessment, and professional development. John is an adjunct professor and coordinator of the Elementary Mathematics Instructional Leadership graduate program at McDaniel College. In addition to this Figuring Out Fluency series, some of his many Corwin books include Daily Routines to Jump-Start Problem Solving, Grades K-8, Answers to Your Biggest Questions about Teaching Elementary Math, the Daily Routines to Jump-Start Math series, and Productive Math Struggle: A 6-Point Action Plan for Fostering Perseverance. John is a national mathematics curriculum and professional learning consultant who also speaks frequently at national conferences and institutes. He is active in state and national professional organizations, recently serving on the board of directors for the National Council of Teachers of Mathematics (NCTM) and currently on the board of directors for the National Council of Supervisors of Mathematics (NCSM).

Jennifer M. Bay-Williams photo

Jennifer M. Bay-Williams

Jennifer M. Bay-Williams is a professor of mathematics education at the University of Louisville, where she teaches preservice teachers, emerging elementary mathematics specialists, and doctoral students in mathematics education. She has authored over 40 books and 100 journal articles/book chapters, many of which focus on procedural fluency and developing mathematical proficiency. Beyond the Figuring out Fluency series, these include Math Fact Fluency, and Everything you Need for Mathematics Coaching and Elementary: Teaching Developmentally and Middle School Mathematics. Jennifer's national leadership includes NCTM Board of Directors, the TODOS: Mathematics for All Board of Directors, and as president and secretary of the Association of Mathematics Teacher Educators (AMTE).
Susie Katt photo

Susie Katt

Susie Katt is the K-2 Mathematics Coordinator in Lincoln, Nebraska, where she leads professional learning, assessment, and math curriculum development. She is an author of Productive Math Struggle: A 6-Point Action Plan for Fostering Perseverance and Answers to Your Biggest Questions About Teaching Elementary Math. She is also a national math curriculum consultant. Susie speaks at state, regional, and national conferences. She served the National Council of Teachers of Mathematics (NCTM) as the chair of the editorial panel for the journal Teaching Children Mathematics, as department editor for Mathematics Teacher: Learning and Teaching PK–12, and as a member of program committees for annual meetings and regional conferences. Susie was recently elected to the board of directors for the National Council of Supervisors of Mathematics (NCSM) as Regional Director, Central 2.

Table of Contents

Table of Contents

Part I: Figuring out Fluency Foundations: Big Ideas


Part 2: Foundations Modules


Module 1: Number Relationships: Comparison and Estimation


Module 2: Subitizing to Decomposing


Module 3: Distance to 10, 100, and 1,000


Module 4: Counting and Skip-Counting


Module 5: Properties of Addition and Its Inverse Relationship with Subtraction


Module 6: Properties of Multiplication and the Inverse Relationship with Division


Module 7: Multiplying by 10s and 100s


Module 8: Multiples and Factors


Module 9: Doubling and Halving


Module 10: Computational Estimation


Part 3: Taking Action


Appendix A: Activity List


References


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Other Titles in: Mathematics | Elementary Maths

Price: $38.95
Volume Discounts applied in Shopping Cart

Review Copies

This book is not available as a review copy.

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