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

By: (Author) John J. SanGiovanni

Werezi Extended Catalogue
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Ksh 6,100.00

Format: Paperback / Softback

ISBN-10: 1506337678

ISBN-13: 9781506337678

Series: Corwin Mathematics Series

Publisher: SAGE Publications Inc

Imprint: Corwin Press Inc

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Dec 12th, 2016

Print length: 384 Pages

Weight: 808 grams

Dimensions (height x width x thickness): 21.80 x 28.10 x 1.60 cms

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  • Reviews

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.

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 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.

SanGiovanni 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 concepts, foundational 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 "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. 


Get Mine the Gap for Mathematical Understanding, Grades 3-5 by at the best price and quality guranteed only at Werezi Africa largest book ecommerce store. The book was published by SAGE Publications Inc and it has pages. Enjoy Shopping Best Offers & Deals on books Online from Werezi - Receive at your doorstep - Fast Delivery - Secure mode of Payment

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