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Mine the Gap for Mathematical Understanding
Author: John J. SanGiovanni

ISBN: 9781506337678
Format: Paperback
Number Of Pages: 384
Published: 15 September 2016
Country of Publication: US
Dimensions (cm): 28.0 x 21.6 x 1.5
Teaching elementary mathematics is complicated: teachers must not only understand the concepts, procedures, and application of seemingly "basic" mathematics, they must also understand mathematical misconceptions and apparently correct answers as well as the "logic" behind these answers.

Unfortunately, teachers are often trained to think about mathematics as basic procedures with correct or incorrect answers. 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. Sometimes even students' correct answers do not indicate accurate reasoning. 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 3-5 mathematics, it turns elementary teachers into experts in diagnosis, intervention, and evaluation (Hattie 2010), and d...

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