Maher, Carolyn A.
Children’s Reasoning While Building Fraction Ideas
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
- Toimittaja
- Maher, Carolyn A.
- Yankelewitz, Dina
- Julkaisija
- Springer
- Julkaisuvuosi
- 2017
- Kieli
- en
- Painos
- 1
- Sarja
- Mathematics Teaching and Learning
- Sivumäärä
- 237 sivua
- Kategoria
- Kasvatus, opetus
- Tiedostomuoto
- E-kirja
- eISBN (PDF)
- 9789463510080