Children’s Reasoning While Building Fraction Ideas / / edited by Carolyn A. Maher, Dina Yankelewitz.

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 tha...

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Bibliographic Details
Superior document:Mathematics Teaching and Learning
HerausgeberIn:
Place / Publishing House:Rotterdam : : SensePublishers :, Imprint: SensePublishers,, 2017.
Year of Publication:2017
Edition:1st ed. 2017.
Language:English
Series:Mathematics Teaching and Learning
Physical Description:1 online resource (CCXXII, 16 p.)
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Table of Contents:
  • Preliminary Material / Carolyn A. Maher and Dina Yankelewitz
  • The Experiment / Carolyn A. Maher and Dina Yankelewitz
  • Establishing A Mathematical Community / Miriam Gerstein
  • A Problem With No Solution / Dina Yankelewitz and Esther Winter
  • Designing A New Rod / Dina Yankelewitz and Miriam Gerstein
  • Reasoning by Cases While Exploring Fractions as Numbers / Esther Winter and Dina Yankelewitz
  • Developing the Foundation for Proportional Reasoning / Esther Winter
  • Establishing the Importance of the Unit / Cheryl K. Van Ness and Alice S. Alston
  • Switching the Unit / Alice S. Alston and Cheryl K. Van Ness
  • Justifying the Choice of the Unit / Cheryl K. Van Ness and Alice S. Alston
  • Determining Fraction Equivalence / Miriam Gerstein and Dina Yankelewitz
  • Using Reasoning to Resolve Conjectures / Suzanne Reynolds and Elizabeth B. Uptegrove
  • The Development of Upper and Lower Bounds Arguments While Comparing Fractions / Dina Yankelewitz and Esther Winter
  • Using Generic Reasoning to Compare Fractions / Dina Yankelewitz
  • Recursive Reasoning / Dina Yankelewitz and Baila Salb
  • From Rod Models To Line Segments / Suzanna Schmeelk
  • Students’ Argumentation About Ahe Density Of Fractions / Cheryl K. Van Ness
  • Comparing And Ordering Fractions / Kenneth Horwitz and Suzanna Schmeelk
  • Extending Fraction Placement From Segments To A Number Line / Kenneth Horwitz
  • Epilogue / Carolyn A. Maher , Alice S. Alston and Dina Yankelewitz
  • Fraction Tasks And Activities By Chapter / Carolyn A. Maher and Dina Yankelewitz
  • Fraction Dissertations From The Colts Neck Intervention / Carolyn A. Maher and Dina Yankelewitz
  • Video Narratives By Chapter And Author(s) / Carolyn A. Maher and Dina Yankelewitz
  • Index / Carolyn A. Maher and Dina Yankelewitz.