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  • Book
  • © 2017

Children’s Reasoning While Building Fraction Ideas

Editors:

  1. Carolyn A. Maher

    1. Rutgers University, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Dina Yankelewitz

    1. Pearson Education, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • The book contains video narratives for each chapter, available as open source, that showcase student mathematical thinking.
  • In this book the editors present a detailed analysis of young students’ sophisticated mathematical reasoning.
  • The book offers strands of tasks that can be implemented in classrooms to promote the development of reasoning and building fraction understanding.

Part of the book series: Mathematics Teaching and Learning (MTAL)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xvi
    PDF

  2. The Experiment

    • Carolyn A. Maher, Dina Yankelewitz
    Pages 1-11

  3. Establishing a Mathematical Community

    • Miriam Gerstein
    Pages 13-20

  4. A Problem with No Solution

    • Dina Yankelewitz, Esther Winter
    Pages 21-27

  5. Designing A New Rod

    • Dina Yankelewitz, Miriam Gerstein
    Pages 29-33

  6. Reasoning by Cases While Exploring Fractions as Numbers

    • Esther Winter, Dina Yankelewitz
    Pages 35-41

  8. Establishing the Importance of the Unit

    • Cheryl K. Van Ness, Alice S. Alston
    Pages 49-64

  9. Switching the Unit

    • Alice S. Alston, Cheryl K. Van Ness
    Pages 65-81

  10. Justifying the Choice of the Unit

    • Cheryl K. Van Ness, Alice S. Alston
    Pages 83-94

  11. Determining Fraction Equivalence

    • Miriam Gerstein, Dina Yankelewitz
    Pages 95-100

  12. Using Reasoning to Resolve Conjectures

    • Suzanne Reynolds, Elizabeth B. Uptegrove
    Pages 101-113

  14. Using Generic Reasoning to Compare Fractions

    • Dina Yankelewitz
    Pages 123-133

  15. Recursive Reasoning

    • Dina Yankelewitz, Baila Salb
    Pages 135-147

  16. From Rod Models to Line Segments

    • Suzanna Schmeelk
    Pages 149-161

  18. Comparing and Ordering Fractions

    • Kenneth Horwitz, Suzanna Schmeelk
    Pages 183-192

  20. Epilogue

    • Carolyn A. Maher, Alice S. Alston, Dina Yankelewitz
    Pages 201-206
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About this book

This book may be used for research, graduate and undergraduate teacher education, and teacher development. It presents an integrated set of studies of a heterogeneously grouped class of twenty-one nine-year olds, engaged in exploring fraction ideas prior to classroom instruction under conditions that supported investigation, collaboration and argumentation. It demonstrates with text and video narrative how young children can reason about mathematics in surprisingly sophisticated ways when provided the opportunity to do so in the proper classroom environment. In this volume, fourth grade students’ reasoning about fraction concepts is described through careful analysis and accompanying video excerpts showcasing the variety and originality of their thinking. These children will serve as an inspiration for educators to encourage the development of reasoning and argumentation in their students as part of a mathematics curriculum designed to produce critical thinkers.
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Keywords

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Editors and Affiliations

  • Rutgers University, USA

    Carolyn A. Maher

  • Pearson Education, USA

    Dina Yankelewitz

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Bibliographic Information

  • Book Title: Children’s Reasoning While Building Fraction Ideas

  • Editors: Carolyn A. Maher, Dina Yankelewitz

  • Series Title: Mathematics Teaching and Learning

  • DOI: https://doi.org/10.1007/978-94-6351-008-0

  • Publisher: SensePublishers Rotterdam

  • eBook Packages: Education, Education (R0)

  • Copyright Information: SensePublishers-Rotterdam, The Netherlands 2017

  • eBook ISBN: 978-94-6351-008-0Published: 10 June 2017

  • Edition Number: 1

  • Number of Pages: CCXXII, 16

  • Topics: Education, general

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Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

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