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Mine the Gap for Mathematical Understanding, Grades K-2

Common Holes and Misconceptions and What To Do About Them

John J. SanGiovanni

$94.95   $80.92

Paperback

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English
Corwin Press Inc
15 November 2016
"Misconceptions and incomplete mathematical thinking often go undetected, as teachers are rarely trained to consider why or how an answer was generated. They often respond to incorrect answers by re-teaching the correct processes, and the underlying problem persists. Unrecognized misconceptions then become permanent ways of thinking; each new layer of mathematics knowledge builds upon on flawed foundations. This book addresses that problem head on. By covering the essential content or ""big ideas"" of K-2 mathematics, it turns elementary teachers into experts in diagnosis, intervention, and evaluation, and delivers the tasks and tools to use in the classroom day-to-day."
By:  
Imprint:   Corwin Press Inc
Country of Publication:   United States
Dimensions:   Height: 279mm,  Width: 215mm,  Spine: 13mm
Weight:   800g
ISBN:   9781506337685
ISBN 10:   1506337686
Series:   Corwin Mathematics Series
Pages:   384
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Unspecified

John SanGiovanni is a mathematics supervisor in Howard County, Maryland. There he leads mathematics curriculum development, digital learning, assessment, and professional development for 41 elementary schools and more than 1,500 teachers. John is an adjunct professor and coordinator of the Elementary Mathematics Instructional Leader graduate program at McDaniel College. He is an author and national mathematics curriculum and professional learning consultant. John is a frequent speaker at national conferences and institutes. He is active in state and national professional organizations and currently serves on the Board of Directors for the National Council of Teachers of Mathematics.

Reviews for Mine the Gap for Mathematical Understanding, Grades K-2: Common Holes and Misconceptions and What To Do About Them

John SanGiovanni continues to provide teacher-friendly, must-have books. They empower teachers by deepening their understanding of content and teaching. -- Megan Dooley More than just a nice collection of problems, this book shares a road map for teachers looking to enhance the quality of the math tasks they use with students. Teachers will appreciate the examples of actual student work paired with tips for analysis and instruction. -- Delise Andrews Mine the Gap is a great tool for teachers to use to grow their own understanding of student misconceptions and incomplete understandings and how to address them. This is an indispensable resource for all involved in supporting students' growth in mathematics. -- Nathan Rosin Mine the Gap for Mathematical Understanding is a much-needed and anticipated resource for teachers, mathematics coaches, mathematics specialists, administrators, and other stakeholders. The easy to follow, teacher-friendly format, the accompanying commentary for each student work sample, along with the thoughtful reflection questions will quickly make this resource a `go-to' professional development tool. -- Latrenda Knighten This work does what other books only attempt to do. It combines instruction, assessment, and practice with open-ended and rich tasks that allow for teachers to not only immediately implement the ideas but also understand the content and pedagogy behind them. The tasks, which are immediately implementable and customizable, engage each and every learner. They are based on cutting edge and research-based instructional frameworks and provide countless learning opportunities for students. -- Zachary Champagne Too often students (and parents and teachers) have the notion that the goal in math should be to get the right answer. Yet insight into misconceptions and students' thinking can tell us much more about what students know (and don't know) beyond simply a correct or incorrect answer. SanGiovanni offers teachers a treasure trove of rich tasks and student work on those tasks. Examples of how to analyze student thinking and next instructional steps make this a volume that should be on every K-2 math teacher's desk! -- Linda Gojak Wow! Mine the Gap for grades K-2 teachers really unpacks! Not only does the book provide dozens of great mathematical tasks, but-perhaps more important-it gives teachers the chance to consider each task; anticipate student responses-a critical first step in formative assessment; analyze actual student responses; and then consider what they would do in the classroom. Thoughts about modifying each task provide another option for each task. At a time when teachers are encouraged to regularly provide students with tasks that promote reasoning and problem solving, this book will help teachers dig deeper as they mine for understandings. -- Francis (Skip) Fennell


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