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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Superior document: | Mathematics Teaching and Learning |
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HerausgeberIn: | |
Place / Publishing House: | Rotterdam : : SensePublishers :, Imprint: SensePublishers,, 2017. |
Year of Publication: | 2017 |
Edition: | 1st ed. 2017. |
Language: | English |
Series: | Mathematics Teaching and Learning
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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.