‘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.
Tabela de Conteúdo
Foreword by Arthur HydePreface
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