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Maher, Carolyn A.

Children’s Reasoning While Building Fraction Ideas

Maher, Carolyn A. - Children’s Reasoning While Building Fraction Ideas, ebook

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ISBN: 9789463510080
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Table of contents

1. The Experiment
Carolyn A. Maher, Dina Yankelewitz

2. Establishing a Mathematical Community
Miriam Gerstein

3. A Problem with No Solution
Dina Yankelewitz, Esther Winter

4. Designing A New Rod
Dina Yankelewitz, Miriam Gerstein

5. Reasoning by Cases While Exploring Fractions as Numbers
Esther Winter, Dina Yankelewitz

6. Developing the Foundation for Proportional Reasoning
Esther Winter

7. Establishing the Importance of the Unit
Cheryl K. Van Ness, Alice S. Alston

8. Switching the Unit
Alice S. Alston, Cheryl K. Van Ness

9. Justifying the Choice of the Unit
Cheryl K. Van Ness, Alice S. Alston

10. Determining Fraction Equivalence
Miriam Gerstein, Dina Yankelewitz

11. Using Reasoning to Resolve Conjectures
Suzanne Reynolds, Elizabeth B. Uptegrove

12. The Development of Upper and Lower Bounds Arguments While Comparing Fractions
Dina Yankelewitz, Esther Winter

13. Using Generic Reasoning to Compare Fractions
Dina Yankelewitz

14. Recursive Reasoning
Dina Yankelewitz, Baila Salb

15. From Rod Models to Line Segments
Suzanna Schmeelk

16. Students’ Argumentation about the Density of Fractions
Cheryl K. Van Ness

17. Comparing and Ordering Fractions
Kenneth Horwitz, Suzanna Schmeelk

18. Extending Fraction Placement from Segments to a Number Line
Kenneth Horwitz

19. Epilogue
Carolyn A. Maher, Alice S. Alston, Dina Yankelewitz

Keywords: Education, Education, general

Editor
 
Publisher
Springer
Publication year
2017
Language
en
Edition
1
Series
Mathematics Teaching and Learning
Page amount
237 pages
Category
Upbringing, Education
Format
Ebook
eISBN (PDF)
9789463510080

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