Mine the Gap for Mathematical Understanding
Common Holes and Misconceptions and What To Do About Them
 Grades 6  8
 Pages 408
 Copyright 2017

Product Code 9781506379821 ( MR #066998 )
Price $34.95
$27.96
$33.20 (quantity of 1024)
$31.46 (quantity of 25+)
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 highquality 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 highquality 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 reteaching 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.