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Mine the Gap for Mathematical Understanding, Grades 3-5

CORWIN MATHEMATCS SER: MINE GAP MTHMTCL UNDRSTND GR 3-5

Elementary Education

Education & Professional Development

Gt Product Group

Binding Format

Marketing Imprint Name

B2B GT

CL Carton Count

Imprint Name

B2B & B2C

<P>Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, the author helps us value our students’ misconceptions and incomplete understandings as much as their correct ones―because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. He lays out 180 high-quality tasks aligned to the standards and big ideas of Grades 3-5 mathematics, including addition and subtraction of multi-digit whole numbers, multiplication and division of single and multi-digit whole numbers, foundational fraction and decimal concepts, and operations with fractions and decimals. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality task; what you might anticipate before students work with the task; 4 student examples of the completed task showcasing a distinct <Q>gap</Q>; commentary on what precisely counts for mathematical understanding and the next instructional steps; commentary on the misconception or incomplete understanding so you learn why the student veered off course ; and three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks.
It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. This is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning―better at discerning the quality and clarity of students’ understanding―and better at planning teaching based on the gaps you see.</P>

Mine the Gap for Mathematical Understanding, Grades 3-5: Common Holes and Misconceptions and What To Do About Them

Professional & Reference

Duration

Duration Unit Of Measure

Transaction Type

Front Cover.
What Your Colleagues Are Saying....
Half Title Page.
Dedication.
Title Page.
Copyright Page.
The Book at-a-Glance.
Contents.
Big Ideas &#x0026; Tasks at a Glance.
Acknowledgments.
Publisher&#x2019;s Acknowledgments.
About the Author.
Introduction.
1: Rich Mathematics Tasks, Student Misconceptions, Using Tasks.
2: Addition and Subtraction within 1,000.
3: Big Idea 1: Adding within 1,000.
4: Big Idea 2: Reasoning about Addition within 1,000.
5: Big Idea 3: Subtraction within 1,000.
6: Big Idea 4: Reasoning about Subtraction within 1,000.
7: Big Idea 5: Problem Solving with Addition and Subtraction.
8: Multiplication and Division.
9: Big Idea 6: Representing Multiplication.
10: Big Idea 7: Reasoning about Multiplication.
11: Big Idea 8: Properties of Multiplication.
12: Big Idea 9: Representing Division.
13: Big Idea 10: Reasoning about Division.
14: Big Idea 11: Problem Solving with Multiplication and Division.
15: Big Idea 12: Connecting Multiplication and Division.
16: Big Idea 13: Representing Multi-Digit Multiplication.
17: Big Idea 14: Reasoning about Multi-Digit Multiplication.
18: Big Idea 15: Representing Multi-Digit Division.
19: Big Idea 16: Reasoning about Multi-Digit Division.
20: Foundational Fraction Concepts.
21: Big Idea 17: Representing Fractions.
22: Big Idea 18: Connecting Representations of Fractions.
23: Big Idea 19: Fractions on a Number Line.
24: Big Idea 20: Fractions Greater than 1 on a Number Line.
25: Big Idea 21: Decomposing Fractions.
26: Big Idea 22: Equivalent Fractions on a Number Line.
27: Big Idea 23: Comparing Fractions.
28: Big Idea 24: Reasoning about Fractions.
29: Big Idea 25: More Reasoning about Fractions.
30: Decimal Concepts.
31: Big Idea 26: Representing Decimals.
32: Big Idea 27: Representing Decimals as Numbers.
33: Big Idea 28: Estimating and Rounding Decimals.
34: Big Idea 29: Decomposing Decimals.
35: Big Idea 30: Comparing Decimals.
36: Big Idea 31: Addition with Decimals.
37: Big Idea 32: Subtracting with Decimals.
38: Big Idea 33: Problem Solving with Decimals.
39: Addition and Subtraction with Fractions.
40: Big Idea 34: Addition with Fractions on Number Lines.
41: Big Idea 35: Reasoning about Addition with Fractions.
42: Big Idea 36: Subtraction with Fractions.
43: Big Idea 37: Reasoning about Subtraction with Fractions.
44: Big Idea 38: Problem Solving with Addition and Subtraction of Fractions.
45: Big Idea 39: Addition and Subtraction with Mixed Numbers.
46: Multiplication and Division with Fractions and Decimals.
47: Big Idea 40: Multiplication of Fractions.
48: Big Idea 41: More with Multiplication of Fractions.
49: Big Idea 42: Division with Fractions.
50: Big Idea 43: Problem Solving with Multiplication and Division of Fractions.
51: Big Idea 44: Multiplication with Decimals.
52: Big Idea 45: Division with Decimals.
53: What Do We Do Next? Take Action&#x2026;..
References and Additional Resources.

Mine the Gap for Mathematical Understanding, Grades 3-5: Common Holes and Misconceptions and What To Do About Them.css-1p8rvzy{position:absolute;padding-left:8px;}

Mine the Gap for Mathematical Understanding, Grades 3-5: Common Holes and Misconceptions and What To Do About Them