John J. SanGiovanni

Mine the Gap for Mathematical Understanding, Grades K-2

Common Holes and Misconceptions and What To Do About Them

• Broschiertes Buch

Produktbeschreibung

In this remarkable book, John SanGiovanni reminds us that mathematical mistakes are not random, and when we take the time to "mine the gap," we can dispel misunderstandings before they take root.

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Produktdetails

• Corwin Mathematics Series
• Verlag: SAGE Publications Inc
• Seitenzahl: 386
• Erscheinungstermin: 18. November 2016
• Englisch
• Abmessung: 280mm x 216mm x 21mm
• Gewicht: 984g
• ISBN-13: 9781506337685
• ISBN-10: 1506337686
• Artikelnr.: 45060212

Autorenporträt

John J. SanGiovanni is a mathematics coordinator in Howard County, Maryland. There, he leads mathematics curriculum development, digital learning, assessment, and professional development. John is an adjunct professor and coordinator of the Elementary Mathematics Instructional Leadership graduate program at McDaniel College. In addition to this Figuring Out Fluency series, some of his many Corwin books include Daily Routines to Jump-Start Problem Solving, Grades K-8, Answers to Your Biggest Questions about Teaching Elementary Math, the Daily Routines to Jump-Start Math series, and Productive Math Struggle: A 6-Point Action Plan for Fostering Perseverance. John is a national mathematics curriculum and professional learning consultant who also speaks frequently at national conferences and institutes. He is active in state and national professional organizations, recently serving on the board of directors for the National Council of Teachers of Mathematics (NCTM) and currently on the board of directors for the National Council of Supervisors of Mathematics (NCSM).

Inhaltsangabe

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