John J. SanGiovanni
Mine the Gap for Mathematical Understanding, Grades 3-5
Common Holes and Misconceptions and What To Do About Them
John J. SanGiovanni
Mine the Gap for Mathematical Understanding, Grades 3-5
Common Holes and Misconceptions and What To Do About Them
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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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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.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Produktdetails
- Produktdetails
- Corwin Mathematics Series
- Verlag: SAGE Publications Inc
- Seitenzahl: 386
- Erscheinungstermin: 10. Oktober 2016
- Englisch
- Abmessung: 280mm x 216mm x 21mm
- Gewicht: 808g
- ISBN-13: 9781506337678
- ISBN-10: 1506337678
- Artikelnr.: 45056567
- Herstellerkennzeichnung
- Produktsicherheitsverantwortliche/r
- Europaallee 1
- 36244 Bad Hersfeld
- gpsr@libri.de
- Corwin Mathematics Series
- Verlag: SAGE Publications Inc
- Seitenzahl: 386
- Erscheinungstermin: 10. Oktober 2016
- Englisch
- Abmessung: 280mm x 216mm x 21mm
- Gewicht: 808g
- ISBN-13: 9781506337678
- ISBN-10: 1506337678
- Artikelnr.: 45056567
- Herstellerkennzeichnung
- Produktsicherheitsverantwortliche/r
- Europaallee 1
- 36244 Bad Hersfeld
- gpsr@libri.de
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).
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: ADDITION AND SUBTRACTION WITHIN 1,000
BIG IDEAS
1: Adding Within 1,000
2: Reasoning About Addition Within 1,000
3: Subtraction Within 1,000
4: Reasoning About Subtraction Within 1,000
5: Problem Solving With Addition and Subtraction
CHAPTER 3: MULTIPLICATION AND DIVISION
BIG IDEAS
6: Representing Multiplication
7: Reasoning About Multiplication
8: Properties of Multiplication
9: Representing Division
10: Reasoning About Division
11: Problem Solving With Multiplication and Division
12: Connecting Multiplication and Division
13: Representing Multi-Digit Multiplication
14: Reasoning About Multi-Digit Multiplication
15: Representing Multi-Digit Division
16: Reasoning About Multi-Digit Division
CHAPTER 4: FOUNDATIONAL FRACTION CONCEPTS
BIG IDEAS
17: Representing Fractions
18: Connecting Representations of Fractions
19: Fractions on a Number Line
20: Fractions Greater Than 1 on a Number Line
21: Decomposing Fractions
22: Equivalent Fractions on a Number Line
23: Comparing Fractions
24: Reasoning About Fractions
25: More Reasoning About Fractions
CHAPTER 5: DECIMAL CONCEPTS
BIG IDEAS
26: Representing Decimals
27: Representing Decimals as Numbers
28: Estimating and Rounding Decimals
29: Decomposing Decimals
30: Comparing Decimals
31: Addition With Decimals
32: Subtracting With Decimals
33: Problem Solving With Decimals
CHAPTER 6: ADDITION AND SUBTRACTION WITH FRACTIONS
BIG IDEAS
34: Addition With Fractions on Number Lines
35: Reasoning About Addition With Fractions
36: Subtraction With Fractions
37: Reasoning About Subtraction With Fractions
38: Problem Solving With Addition and Subtraction of Fractions
39: Addition and Subtraction With Mixed Numbers
CHAPTER 7: MULTIPLICATION AND DIVISION WITH FRACTIONS AND DECIMALS
BIG IDEAS
40: Multiplication of Fractions
41: More With Multiplication of Fractions
42: Division With Fractions
43: Problem Solving With Multiplication and Division of Fractions
44: Multiplication With Decimals
45: Division With Decimals
CHAPTER 8: WHAT DO WE DO NEXT?
References and Additional Resources
Acknowledgments
Publisher's Acknowledgments
About the Author
Introduction
CHAPTER 1: RICH MATHEMATICS TASKS, STUDENT MISCONCEPTIONS, USING TASKS
CHAPTER 2: ADDITION AND SUBTRACTION WITHIN 1,000
BIG IDEAS
1: Adding Within 1,000
2: Reasoning About Addition Within 1,000
3: Subtraction Within 1,000
4: Reasoning About Subtraction Within 1,000
5: Problem Solving With Addition and Subtraction
CHAPTER 3: MULTIPLICATION AND DIVISION
BIG IDEAS
6: Representing Multiplication
7: Reasoning About Multiplication
8: Properties of Multiplication
9: Representing Division
10: Reasoning About Division
11: Problem Solving With Multiplication and Division
12: Connecting Multiplication and Division
13: Representing Multi-Digit Multiplication
14: Reasoning About Multi-Digit Multiplication
15: Representing Multi-Digit Division
16: Reasoning About Multi-Digit Division
CHAPTER 4: FOUNDATIONAL FRACTION CONCEPTS
BIG IDEAS
17: Representing Fractions
18: Connecting Representations of Fractions
19: Fractions on a Number Line
20: Fractions Greater Than 1 on a Number Line
21: Decomposing Fractions
22: Equivalent Fractions on a Number Line
23: Comparing Fractions
24: Reasoning About Fractions
25: More Reasoning About Fractions
CHAPTER 5: DECIMAL CONCEPTS
BIG IDEAS
26: Representing Decimals
27: Representing Decimals as Numbers
28: Estimating and Rounding Decimals
29: Decomposing Decimals
30: Comparing Decimals
31: Addition With Decimals
32: Subtracting With Decimals
33: Problem Solving With Decimals
CHAPTER 6: ADDITION AND SUBTRACTION WITH FRACTIONS
BIG IDEAS
34: Addition With Fractions on Number Lines
35: Reasoning About Addition With Fractions
36: Subtraction With Fractions
37: Reasoning About Subtraction With Fractions
38: Problem Solving With Addition and Subtraction of Fractions
39: Addition and Subtraction With Mixed Numbers
CHAPTER 7: MULTIPLICATION AND DIVISION WITH FRACTIONS AND DECIMALS
BIG IDEAS
40: Multiplication of Fractions
41: More With Multiplication of Fractions
42: Division With Fractions
43: Problem Solving With Multiplication and Division of Fractions
44: Multiplication With Decimals
45: Division With Decimals
CHAPTER 8: WHAT DO WE DO NEXT?
References and Additional Resources
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: ADDITION AND SUBTRACTION WITHIN 1,000
BIG IDEAS
1: Adding Within 1,000
2: Reasoning About Addition Within 1,000
3: Subtraction Within 1,000
4: Reasoning About Subtraction Within 1,000
5: Problem Solving With Addition and Subtraction
CHAPTER 3: MULTIPLICATION AND DIVISION
BIG IDEAS
6: Representing Multiplication
7: Reasoning About Multiplication
8: Properties of Multiplication
9: Representing Division
10: Reasoning About Division
11: Problem Solving With Multiplication and Division
12: Connecting Multiplication and Division
13: Representing Multi-Digit Multiplication
14: Reasoning About Multi-Digit Multiplication
15: Representing Multi-Digit Division
16: Reasoning About Multi-Digit Division
CHAPTER 4: FOUNDATIONAL FRACTION CONCEPTS
BIG IDEAS
17: Representing Fractions
18: Connecting Representations of Fractions
19: Fractions on a Number Line
20: Fractions Greater Than 1 on a Number Line
21: Decomposing Fractions
22: Equivalent Fractions on a Number Line
23: Comparing Fractions
24: Reasoning About Fractions
25: More Reasoning About Fractions
CHAPTER 5: DECIMAL CONCEPTS
BIG IDEAS
26: Representing Decimals
27: Representing Decimals as Numbers
28: Estimating and Rounding Decimals
29: Decomposing Decimals
30: Comparing Decimals
31: Addition With Decimals
32: Subtracting With Decimals
33: Problem Solving With Decimals
CHAPTER 6: ADDITION AND SUBTRACTION WITH FRACTIONS
BIG IDEAS
34: Addition With Fractions on Number Lines
35: Reasoning About Addition With Fractions
36: Subtraction With Fractions
37: Reasoning About Subtraction With Fractions
38: Problem Solving With Addition and Subtraction of Fractions
39: Addition and Subtraction With Mixed Numbers
CHAPTER 7: MULTIPLICATION AND DIVISION WITH FRACTIONS AND DECIMALS
BIG IDEAS
40: Multiplication of Fractions
41: More With Multiplication of Fractions
42: Division With Fractions
43: Problem Solving With Multiplication and Division of Fractions
44: Multiplication With Decimals
45: Division With Decimals
CHAPTER 8: WHAT DO WE DO NEXT?
References and Additional Resources
Acknowledgments
Publisher's Acknowledgments
About the Author
Introduction
CHAPTER 1: RICH MATHEMATICS TASKS, STUDENT MISCONCEPTIONS, USING TASKS
CHAPTER 2: ADDITION AND SUBTRACTION WITHIN 1,000
BIG IDEAS
1: Adding Within 1,000
2: Reasoning About Addition Within 1,000
3: Subtraction Within 1,000
4: Reasoning About Subtraction Within 1,000
5: Problem Solving With Addition and Subtraction
CHAPTER 3: MULTIPLICATION AND DIVISION
BIG IDEAS
6: Representing Multiplication
7: Reasoning About Multiplication
8: Properties of Multiplication
9: Representing Division
10: Reasoning About Division
11: Problem Solving With Multiplication and Division
12: Connecting Multiplication and Division
13: Representing Multi-Digit Multiplication
14: Reasoning About Multi-Digit Multiplication
15: Representing Multi-Digit Division
16: Reasoning About Multi-Digit Division
CHAPTER 4: FOUNDATIONAL FRACTION CONCEPTS
BIG IDEAS
17: Representing Fractions
18: Connecting Representations of Fractions
19: Fractions on a Number Line
20: Fractions Greater Than 1 on a Number Line
21: Decomposing Fractions
22: Equivalent Fractions on a Number Line
23: Comparing Fractions
24: Reasoning About Fractions
25: More Reasoning About Fractions
CHAPTER 5: DECIMAL CONCEPTS
BIG IDEAS
26: Representing Decimals
27: Representing Decimals as Numbers
28: Estimating and Rounding Decimals
29: Decomposing Decimals
30: Comparing Decimals
31: Addition With Decimals
32: Subtracting With Decimals
33: Problem Solving With Decimals
CHAPTER 6: ADDITION AND SUBTRACTION WITH FRACTIONS
BIG IDEAS
34: Addition With Fractions on Number Lines
35: Reasoning About Addition With Fractions
36: Subtraction With Fractions
37: Reasoning About Subtraction With Fractions
38: Problem Solving With Addition and Subtraction of Fractions
39: Addition and Subtraction With Mixed Numbers
CHAPTER 7: MULTIPLICATION AND DIVISION WITH FRACTIONS AND DECIMALS
BIG IDEAS
40: Multiplication of Fractions
41: More With Multiplication of Fractions
42: Division With Fractions
43: Problem Solving With Multiplication and Division of Fractions
44: Multiplication With Decimals
45: Division With Decimals
CHAPTER 8: WHAT DO WE DO NEXT?
References and Additional Resources