{"product_id":"mine-the-gap-for-mathematical-understanding-grades-k-2-common-holes-and-misconceptions-and-what-to-do-about-them","title":"Mine the Gap for Mathematical Understanding, Grades K-2: Common Holes and Misconceptions and What to Do about Them","description":"\u003cp\u003eBeing 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 young learners' 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.\u003cbr\u003e\u003cbr\u003eSanGiovanni lays out 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. 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: \u003c\/p\u003e\u003cul\u003e \u003cli\u003ewhat makes it a high-quality taskwhat you might anticipate before students work with the task \u003c\/li\u003e \u003cli\u003e4 student examples of the completed task showcasing a distinct \"gap\" \u003c\/li\u003e \u003cli\u003ecommentary on what precisely counts for mathematical understanding and the next instructional steps \u003c\/li\u003e \u003cli\u003ecommentary on the misconception or incomplete understanding so you learn why the student veered off course \u003c\/li\u003e \u003cli\u003ethree additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. \u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eIt'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. \u003cem\u003eMine the Gap for Mathematical Understanding\u003c\/em\u003e 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. \u003c\/p\u003e","brand":"John J Sangiovanni","offers":[{"title":"Paperback","offer_id":47473191813356,"sku":"9781506337685","price":55.18,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0684\/1791\/3068\/files\/9781506337685_7dba4012-4ceb-4ae6-80e2-8ab2dfd2703a.jpg?v=1775296432","url":"https:\/\/intl.allstora.com\/products\/mine-the-gap-for-mathematical-understanding-grades-k-2-common-holes-and-misconceptions-and-what-to-do-about-them","provider":"Allstora","version":"1.0","type":"link"}