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Teaching Numeracy
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Teaching Numeracy
9 Critical Habits to Ignite Mathematical Thinking

Foreword by Arthur Hyde



March 2011 | 240 pages | Corwin

"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.

 


 
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

"This is a well-thought out book pulling in a wealth of materials on research and practical application in the math classroom at all levels. It is a must for every classroom teacher."

JoAnn Hiatt, High School Mathematics teacher
Olathe District Schools, KS

"This book removes any excuses for not making the changes we need to make in our approach to teaching math. It provides a rich and thorough meta-analysis of respected mathematical research to back up its case for a much-needed new focus in math instruction. And it provides the necessary tools to make it happen in real classrooms now."

Judith A. Filkins, K-8 Math Curriculum Coordinator
SAU 88 Lebanon School District, NH

"This book gets to the heart of how students really learn, then connects that to mathematics. It provides teachers with practical strategies that will empower students and allow for long-term retention and application in mathematics classrooms."

Noël Klimenko, Middle School Mathematics Specialist
Fairfax County Public School, VA

“Higher math courses are considered gateway classes for students to achieve to higher levels. This excellent resource makes math accessible for all students and ties it all to best practices!”

 

Rina F. Vassallo, Director of Teaching and Learning
Chester County Intermediate Unit, Downingtown, PA

"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

"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

“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

"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
Key features
  • Introduces 9 critical thinking habits that foster numerate learning in any setting and at any grade level. Each habit is accompanied by a detailed list of practical ways to incorporate these habits into instruction.
  • The "How Can I Use This in My Math Class…Tomorrow" feature throughout the book offers practical ideas that can be implemented right away.
  • Outlines the essential components of a numeracy-based mathematics lesson.
  • Based on the new common core standards, NCTM standards, and established literacy practices.
  • Part 2 outlines the essential components of a numeracy-based mathematics lesson and offers sample lessons at each level.

Sample Materials & Chapters

Foreword by Arthur Hyde

Preface


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