Developing Mathematical Reasoning (eBook)

The Strategies, Models, and Lessons to Teach the Big Ideas in Grades K-2

Pamela Weber Harris (Autor)

eBook Download: EPUB

2025
514 Seiten
Corwin (Verlag)
978-1-0719-2902-5 (ISBN)

Inhalt

Preface
About This Book
Language Use in This Book
Acknowledgments
About the Author
PART I: SETTING THE STAGE
Chapter 1: MATHEMATICS FOR TEACHING
What’s the Purpose of Learning Math?
The Development of Mathematical Reasoning
Major Strategies
Conclusion
Discussion Questions
PART II: DEVELOPING COUNTING AND COUNTING STRATEGIES
Chapter 2: ALL ABOUT COUNTING
The Difference Between Counting and Counting Strategies
Foundations of Number
How to Develop Counting
The Number Sequence in the Teens
The Number Sequence After the Teens
Meaning of Decades
Student Interview
Conclusion
Discussion Questions
Chapter 3: COUNTING STRATEGIES
About Counting Strategies
Early Counting Strategies
The Counting On, Counting Back Strategy
Problem Types
Developing Counting Strategies
Conclusion
Discussion Questions
PART III: DEVELOPING ADDITIVE REASONING
Chapter 4: THE MAJOR STRATEGIES FOR ADDITION WITHIN 20
Additive Reasoning
Additive Strategies
Developing Addition Within 20
The Get to 10 Strategy
The Next Two Major Strategies
The Using Doubles to Add Strategy
The Add 10 and Adjust Strategy
Comparing the Single-Digit Addition Strategies
Conclusion
Discussion Questions
Chapter 5: THE MAJOR STRATEGIES FOR SUBTRACTION WITHIN 20
Developing Subtraction Within 20
The Remove to 10 Strategy
The Next Two Major Strategies
The Using Doubles to Subtract Strategy
The Remove 10 and Adjust Strategy
Finding the Distance/Difference Strategy
Comparing the Single-Digit Subtraction Strategies
Conclusion
Discussion Questions
Chapter 6: THE MAJOR STRATEGIES FOR DOUBLE-DIGIT ADDITION
Developing Multi-Digit Addition Strategies
The Splitting by Place Value Strategy
The Next Two Major Strategies
The Add a Friendly Number Strategy
The Get to a Friendly Number Strategy
The Add a Friendly Number Over Strategy
The Give and Take Strategy
Comparing the Major Addition Strategies
Conclusion
Discussion Questions
Chapter 7: THE MAJOR STRATEGIES FOR MULTI-DIGIT SUBTRACTION
Developing Multi-Digit Subtraction Strategies
The Remove by Place Value Strategy
The Next Two Major Strategies
The Remove a Friendly Number Strategy
The Remove to a Friendly Number Strategy
The Remove a Friendly Number Over Strategy
Finding the Distance/Difference Strategy
The Constant Difference Strategy
Comparing the Major Strategies for Multi-Digit Subtraction
Conclusion
Discussion Questions
PART IV: PUTTING IT ALL TOGETHER
Chapter 8: TASKS TO DEVELOP MATHEMATICAL REASONING
Sequencing Tasks
Problem Strings
Other Instructional Routines
Games
Hint Cards
Conclusion
Discussion Questions
Chapter 9: MODELING AND MODELS
Strategies Versus Models
The Many Meanings of Model
Exploring Models by Their Best Uses
Our Modeling Framework
Conclusion
Discussion Questions
Chapter 10: MOVING FORWARD
Mentor Mathematicians
Where to Start
Conclusion
Discussion Questions
References
Index

Produkt-Details

• Erscheint lt. Verlag: 16.9.2025
• Reihe/Serie: Corwin Mathematics Series
• Verlagsort: Thousand Oaks
• Sprache: englisch
• Themenwelt: Schulbuch / Wörterbuch ► Unterrichtsvorbereitung ► Grundschule
• Schlagworte: Building math understanding Grades K-2 • Cognitive development in math • Counting and adding basics • Deep understanding of math • Functional reasoning in math • Hierarchy of mathematical reasoning • Math development domains • Math education techniques Grades K-2 • mathematical reasoning skills • Math instruction Grades K-2 • Math teaching strategies • Pam Harris math teaching • Proportional reasoning in math • Teaching higher math • Teaching math without algorithms • Understanding mathematical concepts
• ISBN-10: 1-0719-2902-X / 107192902X
• ISBN-13: 978-1-0719-2902-5 / 9781071929025