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 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. SanGiovanni 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: what makes it a high-quality taskwhat 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.
Details e-book Mine the Gap for Mathematical Understanding, Grades K-2
🗸 Author(s): John J. SanGiovanni
🗸 Title: Mine the Gap for Mathematical Understanding, Grades K-2: Common Holes and Misconceptions and What To Do About Them (Corwin Mathematics Series)
🗸 Rating : 4.6 from 5 stars (51 reviews)
🗸 Languange: English
🗸 Format ebook: PDF, EPUB, Kindle, Audio, HTML and MOBI
🗸 Supported Devices: Android, iOS, PC and Amazon Kindle
Readers' opinions about Mine the Gap for Mathematical Understanding, Grades K-2 by John J. SanGiovanni
Dive into an epic fantasy novel where heroes embark on a perilous quest to save their world from an ancient evil. The world-building is richly detailed, immersing readers in a realm of magic and adventure. With its unforgettable characters and breathtaking action scenes, this book is sure to captivate readers of all ages.

This comprehensive guide to personal finance offers practical advice and actionable strategies for achieving financial freedom. From budgeting and saving to investing and retirement planning, the author covers all the essential topics needed to build wealth and secure a stable financial future. Accessible and informative, this book is a valuable resource for anyone looking to take control of their finances.

Explore the depths of human emotion with this powerful collection of poetry, where words dance off the page and into the heart. From love and longing to despair and redemption, each poem offers a glimpse into the human experience in all its complexity. With its evocative imagery and lyrical prose, this book is a testament to the enduring power of poetry to move and inspire.

The Don’t Laugh Challenge – 10 Year Old Edition: The LOL Interactive Joke Book Contest Game for Boys and Girls Age 10 Drawing: Trees with William F. Powell: Learn to draw step by step (How to Draw & Paint) Eternal Sunshine A First Time for Everything Appalachian Witchcraft for Beginners: The History, Remedies, and Spells of a Rich Folk Magic Tradition Bass Guitar For Dummies, 3rd Edition Diary of a Dummy (Goosebumps SlappyWorld #10) Flooded: A Brain-Based Guide to Help Children Regulate Emotions From Peoples into Nations: A History of Eastern Europe The Awaking Wonder Experience: A Guided Companion