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Mine the Gap for Mathematical Understanding, Grades K-2
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Table of Contents

Big Ideas & Tasks at a Glance Acknowledgments Publisher's Acknowledgments About the Author Introduction CHAPTER 1. RICH MATHEMATICS TASKS, STUDENT MISCONCEPTIONS, USING TASKS CHAPTER 2. COUNTING AND REPRESENTING NUMBERS BIG IDEAS 1. Counting on From Any Number (0-120) 2. Counting on a Number Line 3. Skip-Counting 4. Representing Numbers 5. Representing Numbers to 1,000 With Models 6. Understanding Relationships Between Numbers CHAPTER 3. NUMBER RELATIONSHIPS AND COMPARISON BIG IDEAS 7. Comparing Numbers Within 100 8. Comparing Numbers Within 1,000 9. Comparing Numbers Within 1,000 10. Number Relationships Through Number Lines 11. Decomposing Numbers Less Than 100 12. More Decomposing Numbers CHAPTER 4. ADDITION AND SUBTRACTION BIG IDEAS 13. Representing Addition 14. Properties of Addition 15. Reasoning About Addition 16. Representing Subtraction 17. Connecting Addition and Subtraction 18. Reasoning About Subtraction 19. The Meaning of the Equal Sign 20. Problem Solving With Addition and Subtraction CHAPTER 5. ADDITION AND SUBTRACTION WITHIN 100 BIG IDEAS 21. Addition Within 100 22. More With Addition Within 100 23. Reasoning About Addition Within 100 24. Subtraction Within 100 25. Reasoning About Subtraction Within 100 26. Problem Solving Using Addition and Subtraction Within 100 CHAPTER 6. ADDITION AND SUBTRACTION WITHIN 1,000 BIG IDEAS 27. Adding Within 1,000 28. Reasoning About Addition Within 1,000 29. Subtraction Within 1,000 30. Reasoning About Subtraction Within 1,000 31. Problem Solving Within 1,000 CHAPTER 7. MEASUREMENT WITH MONEY AND TIME BIG IDEAS 32. Working and Problem Solving With Money 33. Working and Problem Solving With Money 34. Telling Time 35. Elapsed Time CHAPTER 8. MULTIPLICATION AND DIVISION BIG IDEAS 36. Representing Multiplication and Division 37. Reasoning About Multiplication 38. Properties of Multiplication 39. Representing Division 40. Problem Solving With Multiplication and Division CHAPTER 9. WHAT DO WE DO NEXT? References and Additional Resources

About the Author

John SanGiovanni is a mathematics supervisor in Howard County, Maryland. There he leads mathematics curriculum development, digital learning, assessment, and professional development for 41 elementary schools and more than 1,500 teachers. John is an adjunct professor and coordinator of the Elementary Mathematics Instructional Leader graduate program at McDaniel College. He is an author and national mathematics curriculum and professional learning consultant. John is a frequent speaker at national conferences and institutes. He is active in state and national professional organizations and currently serves on the Board of Directors for the National Council of Teachers of Mathematics.

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