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.
Details e-book Mine the Gap for Mathematical Understanding, Grades 3-5: Common Holes and Misconceptions and What To Do About Them (Corwin Mathematics Series)
🗸 Author(s): John J. SanGiovanni
🗸 Title: Mine the Gap for Mathematical Understanding, Grades 3-5: Common Holes and Misconceptions and What To Do About Them (Corwin Mathematics Series)
🗸 Rating : 4.7 from 5 stars (57 reviews)
🗸 ISBN-10: 1506337678
🗸 ISBN-13: 9781506337678
🗸 Languange: English
🗸 Format ebook: PDF, EPUB, Kindle, Audio, HTML and MOBI
🗸 Supported Devices: Android, iOS, PC and Amazon Kindle
✓ Read as many eBooks you want!
✓ Secure Scanned. No Virus Detected
✓ Thousands of eBooks to choose from - Hottest new releases
✓ Click it and Read it! - no waiting to read eBooks, it's instant!
✓ Keep reading your favorite eBooks over and over!
✓ It works anywhere in the world!
✓ No late fees or fixed contracts - cancel anytime!
Readers' opinions about Mine the Gap for Mathematical Understanding, Grades 3-5: Common Holes and Misconceptions and What To Do About Them (Corwin Mathematics Series) by John J. SanGiovanni
Kinsee Lamb
This thought-provoking work of non-fiction explores the mysteries of the human mind, delving into the complexities of consciousness and perception. Drawing on the latest scientific research, the author sheds light on the inner workings of the brain, offering fascinating insights into what makes us who we are. Engaging and accessible, this book is a must-read for anyone interested in the workings of the human mind.
Kendyll Howe
Discover the secrets of successful entrepreneurship with this insightful guide to starting and growing a business. Packed with practical advice and real-world examples, the author shares invaluable wisdom gleaned from years of experience in the business world. Whether you're a seasoned entrepreneur or just starting out, this book is a valuable resource for anyone looking to build a successful venture.
Sarah Byrne
This poignant memoir offers a deeply personal account of one woman's journey to overcome adversity and find redemption. From childhood trauma to adult struggles, the author shares her experiences with honesty and vulnerability, offering hope and inspiration to readers facing their own challenges. With its raw emotion and powerful storytelling, this book is a testament to the resilience of the human spirit.
