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Mine the Gap for Mathematical Understanding Grades 6 8 Common Holes and Misconceptions and What To Do About Them 1st Edition by John Sangiovanni, Jennifer Rose Novak ISBN 9781506379838 1506379834

Name: Mine the Gap for Mathematical Understanding Grades 6 8 Common Holes and Misconceptions and What To Do About Them 1st Edition by John Sangiovanni, Jennifer Rose Novak ISBN 9781506379838 1506379834
SKU: EB-52698276
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Mine the Gap for Mathematical Understanding Grades 6 8 Common Holes and Misconceptions and What To Do About Them John Sangiovanni Digital Instant Download

Author(s): John SanGiovanni, Jennifer Rose Novak

Edition: 1st

File Details: PDF, 21.01 MB

Year: 2017

Language: English

SKU: EB-52698276 Category: Education Studies & Teaching - School Education & Teaching Tags: Jennifer Rose Novak, John SanGiovanni

Description

Mine the Gap for Mathematical Understanding Grades 6 8 Common Holes and Misconceptions and What To Do About Them 1st Edition by John Sangiovanni, Jennifer Rose Novak – Ebook PDF Instant Download/Delivery: 9781506379838 ,1506379834
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ISBN 10: 1506379834
ISBN 13: 9781506379838
Author: John Sangiovanni, Jennifer Rose Novak

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, John SanGiovanni and Jennifer Rose Novak help 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. The authors lay out 180 high-quality tasks aligned to the standards and big ideas of Grades 6–8 mathematics, including number systems, integers, ratio and proportion, equations and expressions, geometry, and statistics and probability. 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 four student examples of the completed task showcasing a distinct “gap” 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 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. Mine the Gap for Mathematical Understanding 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.

Mine the Gap for Mathematical Understanding Grades 6 8 Common Holes and Misconceptions and What To Do About Them 1st Edition Table of contents:

Chapter 1. Rich Mathematics Tasks, Student Misconceptions, Using Tasks

Chapter 2. Number Systems

Big Idea 1. Addition and Subtraction of Fractions

Big Idea 2. Multiplication and Division of Fractions

Big Idea 3. Reasoning About Addition and Subtraction of Fractions

Big Idea 4. Reasoning About Multiplication and Division of Fractions

Big Idea 5. Problem Solving With Fractions

Big Idea 6. Decimals as Numbers

Big Idea 7. Addition and Subtraction With Decimals

Big Idea 8. Multiplication and Division With Decimals

Chapter 3. Integers

Big Idea 9. Representing Integers

Big Idea 10. Representing Integers on Number Lines

Big Idea 11. More Representing Integers on Number Lines

Big Idea 12. Comparing Integers

Big Idea 13. Addition With Integers

Big Idea 14. Subtraction With Integers

Big Idea 15. Multiplication With Integers

Big Idea 16. Division With Integers

Chapter 4. Ratio, Proportion, and Percent

Big Idea 17. Representing Ratios

Big Idea 18. Equivalent Ratios

Big Idea 19. Unit Rates

Big Idea 20. Using Ratios to Solve Problems

Big Idea 21. Reasoning With Percents

Big Idea 22. Unit Rate as Slope

Chapter 5. Expressions, Equations, and Functions

Big Idea 23. Writing Expressions

Big Idea 24. Evaluating Expressions

Big Idea 25. Equivalent Expressions

Big Idea 26. Writing Equations

Big Idea 27. Solving Equations

Big Idea 28. Inequalities

Big Idea 29. Function Tables

Big Idea 30. Reasoning About Graphing

Big Idea 31. Comparing Functions

Big Idea 32. Systems of Equations

Chapter 6. Geometry

Big Idea 33. Area of Composite Figures

Big Idea 34. Nets and Three-Dimensional Figures

Big Idea 35. Surface Area and Volume

Big Idea 36. Volume of Cylinders and Cones

Big Idea 37. Angle Relationships

Big Idea 38. Transformations, Similarity, and Congruence

Big Idea 39. Distance and the Pythagorean Theorem

Chapter 7. Statistics

Big Idea 40. Univariate Categorical Data

Big Idea 41. Univariate Quantitative Data

Big Idea 42. Displays of Univariate Quantitative Data

Big Idea 43. Deviations From the Mean

Big Idea 44. Bivariate Categorical Data

Big Idea 45. Bivariate Quantitative Data

Chapter 8. What Do We Do Next?

References and Additional Resources

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