Mine the Gap for Mathematical Understanding, Grades K-2: Common Holes and Misconceptions and What To Do About Them

Mine the Gap for Mathematical Understanding, Grades K-2: Common Holes and Misconceptions and What To Do About Them

by John J. SanGiovanni

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Product Details

ISBN-13: 9781506337685
Publisher: SAGE Publications
Publication date: 12/02/2016
Series: Corwin Mathematics Series
Pages: 384
Sales rank: 180,854
Product dimensions: 8.40(w) x 10.80(h) x 0.60(d)

About the Author

John San Giovanni 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 Mc Daniel 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.

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

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