Strengths-Based Teaching and Learning in Mathematics

Five Teaching Turnarounds for Grades K-6
First Edition
Beth McCord Kobett - Stevenson University
Karen S. Karp - Johns Hopkins University
Strengths-Based Teaching and Learning in Mathematics
February 2020 | 272 pages | Corwin
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ISBN: 9781544374918
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Description

“This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource!    

Connie S. Schrock
Emporia State University
National Council of Supervisors of Mathematics President, 2017-2019

NEW COVID RESOURCES ADDED:  A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together.

Your game plan for unlocking mathematics by focusing on students’ strengths.

We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power?

Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing

·         Downloadable resources, activities, and tools

·         Examples of student work within Grades K–6

·         Real teachers’ notes and reflections for discussion

It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful. 

Contents

Foreword

Foreword

Introduction – An Invitation to Turnaround

  • Why Strengths-Based Instruction?
  • Who is Strengths-Based Mathematics Teaching For?
  • What are Mathematics Strengths we See in Students?
  • Exploring Your Own Math Identity
  • Moving to a Strengths-Based Perspective
  • Practices that Build a Strengths Cycle
  • The Five Teaching Turnarounds

Chapter 1 - Identify Your Teaching Strengths

  • What Do You Believe About Your Students' Learning?
  • What Do Students Think You Believe?
  • Summary

Chapter 2 - Turnaround Mathematical Proficiencies, Processes, and Practices

  • Building Mathematical Proficiency Through a Strengths-Based Lens
  • Building Mathematical Practices and Dispositions Through a Strengths-Based Lens
  • Building Strengths in Problem Solving
  • Building Strengths in Communication
  • Building Strengths in Reasoning and Proof
  • Building Strengths in Connections
  • Building Strengths in Representations
  • Summary

Chapter 3 - Your Students’ Mathematics Content Strengths

  • Building Mathematical Content Knowledge Through a Strengths-Based Lens
  • Building and Recognizing Strengths in the Meaning of Number and Operations and Algebraic Thinking
  • Count to show how numbers represent quantity
  • Count to show how numbers represent quantity
  • Develop Strategies to Add, Subtract, Multiply, and Divide
  • Building and Recognizing Strengths in Understanding Number and Operations - Fractions
  • Building and Recognizing Strengths in Geometry
  • van Heile’s Geometric Conceptual Understanding Level 0: Visualization
  • van Heile’s Geometric Conceptual Understanding Level 1: Analysis
  • Summary

Chapter 4 – Turnaround Grouping Practices

  • Planning Effective Strength-Based Instruction
  • Fixed versus Flexible Grouping Practices
  • Long-Term Whole-Class Ability Grouping
  • Small-Group In-Class Ability Grouping
  • Flexible Grouping Strategies
  • Strength’s Based Flexible Grouping Practices
  • Mixed-Strength Whole-Group Instruction
  • Homogeneous-Strength Small Groups
  • Targeted Small Group Instruction Through a Strengths-Based Lens
  • Summary

Chapter 5 – Turnaround Tasks

  • High Cognitive Tasks
  • Turnaround a Task: Designing a Personalized, Strengths-Based Instructional Task
  • Individualized Personalization
  • Funds of Knowledge
  • Three Perspectives for Adapting a Task to Support Student's Strengths
  • Access and Equity
  • Mathematical Goals
  • Formative Assessment
  • Promoting Strengths Through Parallel Tasks
  • Exploratory Discourse About Tasks
  • Math Amendments: Revising the Task Solution
  • Summary

Chapter 6 - Turnaround Feedback

  • The Importance of Feedback in a Strengths-Based Classroom
  • Teacher-to-Student Feedback From a Strengths Perspective
  • Teacher to Student Feedback Loop
  • Elements of Teacher to Student Feedback
  • Student-to-Teacher Feedback from a Strengths Perspective
  • Prior to the Lesson
  • During the Lesson
  • Closing the Lesson
  • Student-to-Student Feedback from a Strengths Perspective
  • Classroom-Based Formative Assessment and Feedback
  • Observation
  • Interview
  • Show Me
  • Hinge Question
  • Exit Task
  • Summary

Chapter 7 - Turnaround Students’ Identities

  • Windows and Mirrors
  • Our Teacher Mirror
  • Translation Task
  • Don't Miss an Opportunity to Recognize a Student's Points of Power
  • Students' Productive Dispositions
  • Students Self Analyze their Strong Points
  • Summary

Chapter 8 - Turnaround Professional Learning Communities

  • Supporting Teachers' Strengths
  • The Appreciative Inquiry (AI) Framework
  • Whole School Agreement
  • Summary

Chapter 9 - Turnaround Family Communication

  • Engaging Families in Strengths-Based Talk
  • Incorporating Family and Community Strengths
  • Working Together to Share Mathematical Ideas
  • Family Math Resources
  • Conferences with Family Members from a Strengths-Based Perspective
  • Summary

Epilogue - Turnaround Reflection

Epilogue - Turnaround Reflection

References

References

Resources

Book Study guide

Description

“This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource!    

Connie S. Schrock
Emporia State University
National Council of Supervisors of Mathematics President, 2017-2019

NEW COVID RESOURCES ADDED:  A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together.

Your game plan for unlocking mathematics by focusing on students’ strengths.

We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power?

Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing

·         Downloadable resources, activities, and tools

·         Examples of student work within Grades K–6

·         Real teachers’ notes and reflections for discussion

It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful. 

Contents

Foreword

Foreword

Introduction – An Invitation to Turnaround

  • Why Strengths-Based Instruction?
  • Who is Strengths-Based Mathematics Teaching For?
  • What are Mathematics Strengths we See in Students?
  • Exploring Your Own Math Identity
  • Moving to a Strengths-Based Perspective
  • Practices that Build a Strengths Cycle
  • The Five Teaching Turnarounds

Chapter 1 - Identify Your Teaching Strengths

  • What Do You Believe About Your Students' Learning?
  • What Do Students Think You Believe?
  • Summary

Chapter 2 - Turnaround Mathematical Proficiencies, Processes, and Practices

  • Building Mathematical Proficiency Through a Strengths-Based Lens
  • Building Mathematical Practices and Dispositions Through a Strengths-Based Lens
  • Building Strengths in Problem Solving
  • Building Strengths in Communication
  • Building Strengths in Reasoning and Proof
  • Building Strengths in Connections
  • Building Strengths in Representations
  • Summary

Chapter 3 - Your Students’ Mathematics Content Strengths

  • Building Mathematical Content Knowledge Through a Strengths-Based Lens
  • Building and Recognizing Strengths in the Meaning of Number and Operations and Algebraic Thinking
  • Count to show how numbers represent quantity
  • Count to show how numbers represent quantity
  • Develop Strategies to Add, Subtract, Multiply, and Divide
  • Building and Recognizing Strengths in Understanding Number and Operations - Fractions
  • Building and Recognizing Strengths in Geometry
  • van Heile’s Geometric Conceptual Understanding Level 0: Visualization
  • van Heile’s Geometric Conceptual Understanding Level 1: Analysis
  • Summary

Chapter 4 – Turnaround Grouping Practices

  • Planning Effective Strength-Based Instruction
  • Fixed versus Flexible Grouping Practices
  • Long-Term Whole-Class Ability Grouping
  • Small-Group In-Class Ability Grouping
  • Flexible Grouping Strategies
  • Strength’s Based Flexible Grouping Practices
  • Mixed-Strength Whole-Group Instruction
  • Homogeneous-Strength Small Groups
  • Targeted Small Group Instruction Through a Strengths-Based Lens
  • Summary

Chapter 5 – Turnaround Tasks

  • High Cognitive Tasks
  • Turnaround a Task: Designing a Personalized, Strengths-Based Instructional Task
  • Individualized Personalization
  • Funds of Knowledge
  • Three Perspectives for Adapting a Task to Support Student's Strengths
  • Access and Equity
  • Mathematical Goals
  • Formative Assessment
  • Promoting Strengths Through Parallel Tasks
  • Exploratory Discourse About Tasks
  • Math Amendments: Revising the Task Solution
  • Summary

Chapter 6 - Turnaround Feedback

  • The Importance of Feedback in a Strengths-Based Classroom
  • Teacher-to-Student Feedback From a Strengths Perspective
  • Teacher to Student Feedback Loop
  • Elements of Teacher to Student Feedback
  • Student-to-Teacher Feedback from a Strengths Perspective
  • Prior to the Lesson
  • During the Lesson
  • Closing the Lesson
  • Student-to-Student Feedback from a Strengths Perspective
  • Classroom-Based Formative Assessment and Feedback
  • Observation
  • Interview
  • Show Me
  • Hinge Question
  • Exit Task
  • Summary

Chapter 7 - Turnaround Students’ Identities

  • Windows and Mirrors
  • Our Teacher Mirror
  • Translation Task
  • Don't Miss an Opportunity to Recognize a Student's Points of Power
  • Students' Productive Dispositions
  • Students Self Analyze their Strong Points
  • Summary

Chapter 8 - Turnaround Professional Learning Communities

  • Supporting Teachers' Strengths
  • The Appreciative Inquiry (AI) Framework
  • Whole School Agreement
  • Summary

Chapter 9 - Turnaround Family Communication

  • Engaging Families in Strengths-Based Talk
  • Incorporating Family and Community Strengths
  • Working Together to Share Mathematical Ideas
  • Family Math Resources
  • Conferences with Family Members from a Strengths-Based Perspective
  • Summary

Epilogue - Turnaround Reflection

Epilogue - Turnaround Reflection

References

References

Resources

Book Study guide

SAGE Publishing Logo

Strengths-Based Teaching and Learning in Mathematics

Five Teaching Turnarounds for Grades K-6


February 2020 | 272 pages | Corwin

Format Published Date ISBN Price
Paperback 01/01/2025 9781544374932 $38.95
Lifetime 01/02/2026 9781544374918 $36.00

“This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource!    

Connie S. Schrock
Emporia State University
National Council of Supervisors of Mathematics President, 2017-2019

NEW COVID RESOURCES ADDED:  A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together.

Your game plan for unlocking mathematics by focusing on students’ strengths.

We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power?

Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing

·         Downloadable resources, activities, and tools

·         Examples of student work within Grades K–6

·         Real teachers’ notes and reflections for discussion

It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful. 


Table Of Contents:

  • Foreword
  • Introduction – An Invitation to Turnaround
  • Why Strengths-Based Instruction?
  • Who is Strengths-Based Mathematics Teaching For?
  • What are Mathematics Strengths we See in Students?
  • Exploring Your Own Math Identity
  • Moving to a Strengths-Based Perspective
  • Practices that Build a Strengths Cycle
  • The Five Teaching Turnarounds
  • Chapter 1 - Identify Your Teaching Strengths
  • What Do You Believe About Your Students' Learning?
  • What Do Students Think You Believe?
  • Summary
  • Chapter 2 - Turnaround Mathematical Proficiencies, Processes, and Practices
  • Building Mathematical Proficiency Through a Strengths-Based Lens
  • Building Mathematical Practices and Dispositions Through a Strengths-Based Lens
  • Building Strengths in Problem Solving
  • Building Strengths in Communication
  • Building Strengths in Reasoning and Proof
  • Building Strengths in Connections
  • Building Strengths in Representations
  • Summary
  • Chapter 3 - Your Students’ Mathematics Content Strengths
  • Building Mathematical Content Knowledge Through a Strengths-Based Lens
  • Building and Recognizing Strengths in the Meaning of Number and Operations and Algebraic Thinking
  • Count to show how numbers represent quantity
  • Count to show how numbers represent quantity
  • Develop Strategies to Add, Subtract, Multiply, and Divide
  • Building and Recognizing Strengths in Understanding Number and Operations - Fractions
  • Building and Recognizing Strengths in Geometry
  • van Heile’s Geometric Conceptual Understanding Level 0: Visualization
  • van Heile’s Geometric Conceptual Understanding Level 1: Analysis
  • Summary
  • Chapter 4 – Turnaround Grouping Practices
  • Planning Effective Strength-Based Instruction
  • Fixed versus Flexible Grouping Practices
  • Long-Term Whole-Class Ability Grouping
  • Small-Group In-Class Ability Grouping
  • Flexible Grouping Strategies
  • Strength’s Based Flexible Grouping Practices
  • Mixed-Strength Whole-Group Instruction
  • Homogeneous-Strength Small Groups
  • Targeted Small Group Instruction Through a Strengths-Based Lens
  • Summary
  • Chapter 5 – Turnaround Tasks
  • High Cognitive Tasks
  • Turnaround a Task: Designing a Personalized, Strengths-Based Instructional Task
  • Individualized Personalization
  • Funds of Knowledge
  • Three Perspectives for Adapting a Task to Support Student's Strengths
  • Access and Equity
  • Mathematical Goals
  • Formative Assessment
  • Promoting Strengths Through Parallel Tasks
  • Exploratory Discourse About Tasks
  • Math Amendments: Revising the Task Solution
  • Summary
  • Chapter 6 - Turnaround Feedback
  • The Importance of Feedback in a Strengths-Based Classroom
  • Teacher-to-Student Feedback From a Strengths Perspective
  • Teacher to Student Feedback Loop
  • Elements of Teacher to Student Feedback
  • Student-to-Teacher Feedback from a Strengths Perspective
  • Prior to the Lesson
  • During the Lesson
  • Closing the Lesson
  • Student-to-Student Feedback from a Strengths Perspective
  • Classroom-Based Formative Assessment and Feedback
  • Observation
  • Interview
  • Show Me
  • Hinge Question
  • Exit Task
  • Summary
  • Chapter 7 - Turnaround Students’ Identities
  • Windows and Mirrors
  • Our Teacher Mirror
  • Translation Task
  • Don't Miss an Opportunity to Recognize a Student's Points of Power
  • Students' Productive Dispositions
  • Students Self Analyze their Strong Points
  • Summary
  • Chapter 8 - Turnaround Professional Learning Communities
  • Supporting Teachers' Strengths
  • The Appreciative Inquiry (AI) Framework
  • Whole School Agreement
  • Summary
  • Chapter 9 - Turnaround Family Communication
  • Engaging Families in Strengths-Based Talk
  • Incorporating Family and Community Strengths
  • Working Together to Share Mathematical Ideas
  • Family Math Resources
  • Conferences with Family Members from a Strengths-Based Perspective
  • Summary
  • Epilogue - Turnaround Reflection
  • References

Recent Product Reviews:

For graduate students- This is a very empowering approach to teaching math.
Ms Christa Stalcup, School Of Education, Saint Xavier University
"Too many of us perseverate on “fixing” our students and ourselves. Focusing instead on the strengths students bring to the classroom and redirecting the effective practices we already employ, Kobett and Karp turn this thinking on its head. By leveraging their tools and protocols we can confront and unpack our beliefs, transform our instruction, and create the positive and supportive learning environments our students deserve. This is an indispensable resource for educators committed to ensuring that each and every student experiences joy, wonder, and success in mathematics!"
Matt Larson, National Council of Teachers of Mathematics
"Rarely does one find a text that provides both the aspirational vision and inspirational mission to transform both the striving mathematics educator and the student mathematician. Educators will be moved to embrace, then promote change through their work with Drs. Kobett and Karp’s innovative strengths-based approach to teaching and learning mathematics. Kobett and Karp invite all math stakeholders to discover their own strengths from which to build a stronger foundation in the teaching and learning of mathematics."
Richard Cox, Jr., Bullitt County Public Schools, Kentucky
"I love this book! More and more people are talking about the need to build on student strengths instead of focusing on their deficits, but doing this can seem unrealistic to a teacher. The authors not only elaborate what it means to build on student strengths, they offer concrete strategies for how to do it. Starting with the necessary step of looking at one’s own teaching strengths, they offer practical guidelines and examples that lay out a path teachers can use to turn around their teaching and their students’ learning."
Cathy Seeley, National Council of Teachers of Mathematics
"This book is a must-read for every stakeholder in the education system! The authors challenge us to acknowledge the damaging impact of deficit-based beliefs and provide concrete ways to leverage strengths in ourselves and in our students to create mathematics classrooms where students flourish."
Delise Andrews, Lincoln Public Schools, NE

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