Teaching Numeracy: 9 Critical Habits to Ignite Mathematical Thinking by Margaret

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 it outside of the classroom. This book outlines nine critical thinking habits that foster numerate learning 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 Use This in My Math Class...Tomorrow" applications throughout the book, which shows you how to:

" Monitor and repair students' understanding

" Guide students to recognize patterns

" Represent mathematics non-linguistically

" Encourage questioning for understanding

" Develop students' mathematics vocabulary

" Create a collaborative environment

Latter chapters show how to develop numeracy-rich lesson plans, and provide several ready-to-use models with clear directions and student handouts. The book's practices, activities, and problems will help you move your students from simply "doing the math" to a deeper understanding of how to think through the math.

Margie Pearse has spent the past twenty-three years as an educator and researcher. Middle school is where she spent the majority of her teaching years, researching, experimenting and crafting lessons, but she also has extensive experience teaching at the elementary level as well. Her educational philosophy can be summed up as such, "Why NOT reinvent the wheel. Yesterday's lessons will not suffice for students who need to succeed in tomorrow's world. We need to meet them, not just where they are, but where they need to be. How can I push my students' thinking for that to happen?" She currently coaches teachers and conducts original professional development days on how to transform instructional practices to become effective, well-planned, and numerate.

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