Teaching Numeracy

9 Critical Habits to Ignite Mathematical Thinking
Margaret M. Pearse - Educational Consultant, Texas
Kathleen M. Walton - Educational Consultant, Texas
Teaching Numeracy
March 2011 | 240 pages | Corwin
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ISBN: 9781452238852
Available from January 0001
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ISBN: 9781412992237
Available from January 0001

Description

"Margie Pearse and Katie Walton have given us a rich treasury of research-based beat math practices. This book offers practical, engaging numeracy strategies to support our struggling students and sets the bar high for our advanced young mathematicians."
—Mary Dunwoody, Director of Secondary Curriculum and Professional Development
Southeast Delco School District, Folcroft, PA

Transform mathematics learning from "doing" to "thinking"

Do some of your students arrive at wildly wrong answers to mathematical problems but have no idea why? If so, they are not alone. Many students lack basic numeracy—the ability to think through the math logically, solve problems, and apply math outside the classroom. This book outlines nine critical thinking habits that foster numeracy and details practical ways to incorporate those habits into instruction. Referencing the new common core standards, NCTM standards, and established literacy practices, the authors include "How Can I Do This in My Math Class…Tomorrow?" applications throughout the book that shows you how to:

  • Monitor and repair students' understanding
  • Represent mathematics nonlinguistically
  • Develop students' mathematics vocabulary
  • Create numeracy-rich lesson plans

Teaching Numeracy will help you move your students from simply "doing the math" to a deeper understanding of how to think through the math.

 

Contents

Foreword by Arthur Hyde

Foreword by Arthur Hyde

Preface

Preface

Acknowledgments

Acknowledgments

About the Authors

About the Authors

Introduction: Numeracy: What Is It, and Why Is It Important?

Introduction: Numeracy: What Is It, and Why Is It Important?

Part I. The 9 Critical Habits to Ignite Numerate Thinking

  • Habit 1. Monitor and Repair Understanding
  • Habit 2. Develop Schema and Activate Background Knowledge
  • Habit 3. Identify Similarities and Differences, Recognize Patterns, Organize and Categorize Ideas, Investigate Analogies and Metaphors
  • Habit 4. Represent Mathematics Nonlinguistically
  • Habit 5. Predict, Infer, Recognize Trends, Use Patterns, and Generate and Test Hypotheses
  • Habit 6. Question for Understanding
  • Habit 7. Summarize, Determine Importance, Synthesize: Using Note Taking and Journaling
  • Habit 8. Develop Vocabulary
  • Habit 9. Collaborate to Learn

Part II. The 5 Essential Components of a Numeracy-Based Mathematics Lesson

  • Component 1. Purpose and Focus
  • Component 2. Ignition
  • Component 3. Bridge to the Learning
  • Component 4. Gradual Release in Mathematics
  • Component 5. Debrief: Tying It All Together

Conclusion: Our Debrief

Conclusion: Our Debrief

Appendix A. Sample Numeracy-Based Lesson Plans

  • Sample Lesson 1: Introduction to Division (Grades 2-3)
  • Sample Lesson 2: Elapsed Time (Grades 5-6)
  • Sample Lesson 3: Surface Area of a Right Rectangular Prism (Grades 7-8)

Appendix B. Anticipation Guide: The 2010 Census

Appendix B. Anticipation Guide: The 2010 Census

Appendix C. Clock Reproducible for Clock Partners

Appendix C. Clock Reproducible for Clock Partners

References and Further Reading

References and Further Reading

Index

Index

Additional materials

Description

"Margie Pearse and Katie Walton have given us a rich treasury of research-based beat math practices. This book offers practical, engaging numeracy strategies to support our struggling students and sets the bar high for our advanced young mathematicians."
—Mary Dunwoody, Director of Secondary Curriculum and Professional Development
Southeast Delco School District, Folcroft, PA

Transform mathematics learning from "doing" to "thinking"

Do some of your students arrive at wildly wrong answers to mathematical problems but have no idea why? If so, they are not alone. Many students lack basic numeracy—the ability to think through the math logically, solve problems, and apply math outside the classroom. This book outlines nine critical thinking habits that foster numeracy and details practical ways to incorporate those habits into instruction. Referencing the new common core standards, NCTM standards, and established literacy practices, the authors include "How Can I Do This in My Math Class…Tomorrow?" applications throughout the book that shows you how to:

  • Monitor and repair students' understanding
  • Represent mathematics nonlinguistically
  • Develop students' mathematics vocabulary
  • Create numeracy-rich lesson plans

Teaching Numeracy will help you move your students from simply "doing the math" to a deeper understanding of how to think through the math.

 

Contents

Foreword by Arthur Hyde

Foreword by Arthur Hyde

Preface

Preface

Acknowledgments

Acknowledgments

About the Authors

About the Authors

Introduction: Numeracy: What Is It, and Why Is It Important?

Introduction: Numeracy: What Is It, and Why Is It Important?

Part I. The 9 Critical Habits to Ignite Numerate Thinking

  • Habit 1. Monitor and Repair Understanding
  • Habit 2. Develop Schema and Activate Background Knowledge
  • Habit 3. Identify Similarities and Differences, Recognize Patterns, Organize and Categorize Ideas, Investigate Analogies and Metaphors
  • Habit 4. Represent Mathematics Nonlinguistically
  • Habit 5. Predict, Infer, Recognize Trends, Use Patterns, and Generate and Test Hypotheses
  • Habit 6. Question for Understanding
  • Habit 7. Summarize, Determine Importance, Synthesize: Using Note Taking and Journaling
  • Habit 8. Develop Vocabulary
  • Habit 9. Collaborate to Learn

Part II. The 5 Essential Components of a Numeracy-Based Mathematics Lesson

  • Component 1. Purpose and Focus
  • Component 2. Ignition
  • Component 3. Bridge to the Learning
  • Component 4. Gradual Release in Mathematics
  • Component 5. Debrief: Tying It All Together

Conclusion: Our Debrief

Conclusion: Our Debrief

Appendix A. Sample Numeracy-Based Lesson Plans

  • Sample Lesson 1: Introduction to Division (Grades 2-3)
  • Sample Lesson 2: Elapsed Time (Grades 5-6)
  • Sample Lesson 3: Surface Area of a Right Rectangular Prism (Grades 7-8)

Appendix B. Anticipation Guide: The 2010 Census

Appendix B. Anticipation Guide: The 2010 Census

Appendix C. Clock Reproducible for Clock Partners

Appendix C. Clock Reproducible for Clock Partners

References and Further Reading

References and Further Reading

Index

Index

Additional materials

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Teaching Numeracy

9 Critical Habits to Ignite Mathematical Thinking

Margaret M. Pearse , Kathleen M. Walton
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March 2011 | 240 pages | Corwin

Format Published Date ISBN Price
Paperback 28/04/2023 9781412992237 $39.95
Lifetime 28/04/2023 9781452238852 $36.00

"Margie Pearse and Katie Walton have given us a rich treasury of research-based beat math practices. This book offers practical, engaging numeracy strategies to support our struggling students and sets the bar high for our advanced young mathematicians."
—Mary Dunwoody, Director of Secondary Curriculum and Professional Development
Southeast Delco School District, Folcroft, PA

Transform mathematics learning from "doing" to "thinking"

Do some of your students arrive at wildly wrong answers to mathematical problems but have no idea why? If so, they are not alone. Many students lack basic numeracy—the ability to think through the math logically, solve problems, and apply math outside the classroom. This book outlines nine critical thinking habits that foster numeracy and details practical ways to incorporate those habits into instruction. Referencing the new common core standards, NCTM standards, and established literacy practices, the authors include "How Can I Do This in My Math Class…Tomorrow?" applications throughout the book that shows you how to:

  • Monitor and repair students' understanding
  • Represent mathematics nonlinguistically
  • Develop students' mathematics vocabulary
  • Create numeracy-rich lesson plans

Teaching Numeracy will help you move your students from simply "doing the math" to a deeper understanding of how to think through the math.

 


Table Of Contents:

  • Foreword by Arthur Hyde
  • Preface
  • Acknowledgments
  • About the Authors
  • Introduction: Numeracy: What Is It, and Why Is It Important?
  • Part I. The 9 Critical Habits to Ignite Numerate Thinking
  • Habit 1. Monitor and Repair Understanding
  • Habit 2. Develop Schema and Activate Background Knowledge
  • Habit 3. Identify Similarities and Differences, Recognize Patterns, Organize and Categorize Ideas, Investigate Analogies and Metaphors
  • Habit 4. Represent Mathematics Nonlinguistically
  • Habit 5. Predict, Infer, Recognize Trends, Use Patterns, and Generate and Test Hypotheses
  • Habit 6. Question for Understanding
  • Habit 7. Summarize, Determine Importance, Synthesize: Using Note Taking and Journaling
  • Habit 8. Develop Vocabulary
  • Habit 9. Collaborate to Learn
  • Part II. The 5 Essential Components of a Numeracy-Based Mathematics Lesson
  • Component 1. Purpose and Focus
  • Component 2. Ignition
  • Component 3. Bridge to the Learning
  • Component 4. Gradual Release in Mathematics
  • Component 5. Debrief: Tying It All Together
  • Conclusion: Our Debrief
  • Appendix A. Sample Numeracy-Based Lesson Plans
  • Sample Lesson 1: Introduction to Division (Grades 2-3)
  • Sample Lesson 2: Elapsed Time (Grades 5-6)
  • Sample Lesson 3: Surface Area of a Right Rectangular Prism (Grades 7-8)
  • Appendix B. Anticipation Guide: The 2010 Census
  • Appendix C. Clock Reproducible for Clock Partners
  • References and Further Reading
  • Index

Recent Product Reviews:

"Teaching Numeracy is refreshing and unique. Written in a conversational tone, every teacher will at some point see themselves or their classroom situation discussed in this book. It is a well-organized "filing cabinet" of research, methods, activities, suggestions, and lesson plans that align well with every elementary math curriculum."
Kathleen Eross, Teacher, St. Agnes Catholic School, West Chester, PA
“Much like the efforts undertaken in literacy, we must take students on a journey through the process of mathematics. Pearse and Walton have presented a book to help us develop depth of knowledge and understanding through the practical application of research-based best practices.”
Jeffrey Ryan, Assistant Superintendent, Southeast Delco School District, Folcroft, PA
"This book is for every math teacher who has ever been frustrated and confused about why many math students 'just don't get it'. Pearse and Walton have compiled clear, concise techniques in a straightforward approach to teaching math in the 21st century. Teaching Numeracy is a must-read, must-implement guide that teachers can utilize for every math lesson."
Nancy Paterni, ESE Teacher, Ormond Beach Middle School, DeLand, FL
"Margie Pearse and Katie Walton have given us a rich treasury of research-based best math practices. This resource is filled with new tools to enhance the skills of teachers at all grade levels. This book offers practical, engaging, numeracy strategies to support our struggling students, and sets the bar high for our advanced young mathematicians."
Mary Dunwoody, Director of Secondary Curriculum and Professional Development, Southeast Delco School District, Folcroft, PA
"Teaching Numeracy is the book that all math teachers should get their hands on! The authors share their own classroom experiences in an easy-to-read, heartfelt way, and they give readers the opportunity to move from theory to practice the very next day. After reading this book, teachers will understand how to help students actually think through the math instead of just doing the math."
Elizabeth Ann Moorcones, Educational Consultant, Montgomery County Public Schools, MD

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