Cai, Jinfa
Early Algebraization
1. Preface to Part I
Jinfa Cai, Eric Knuth
2. Functional Thinking as a Route Into Algebra intheElementary Grades
Maria L. Blanton, James J. Kaput
3. Developing Students’ Algebraic Thinking inEarlier Grades: Lessons from China andSingapore
Jinfa Cai, Swee Fong Ng, John C. Moyer
4. Developing Algebraic Thinking in the Context ofArithmetic
Susan Jo Russell, Deborah Schifter, Virginia Bastable
5. The Role of Theoretical Analysis in Developing Algebraic Thinking: A Vygotskian Perspective
Jean Schmittau
6. The Arithmetic-Algebra Connection: AHistorical-Pedagogical Perspective
K. Subramaniam, Rakhi Banerjee
7.
Tad Watanabe
8. Commentary on Part I
Jeremy Kilpatrick
9. Preface to PartII
Eric Knuth, Jinfa Cai
10. Algebraic Thinking with and without Algebraic Representation: A Pathway for Learning
Murray S. Britt, Kathryn C. Irwin
11. Examining Students’ Algebraic Thinking inaCurricular Context: ALongitudinal Study
Jinfa Cai, John C. Moyer, Ning Wang, Bikai Nie
12. Years 2 to 6 Students’ Ability to Generalise: Models, Representations and Theory forTeaching and Learning
Tom J. Cooper, Elizabeth Warren
13. Algebra in the Middle School: Developing Functional Relationships Through Quantitative Reasoning
Amy B. Ellis
14. Representational Competence and Algebraic Modeling
Andrew Izsák
15. Middle School Students’ Understanding of Core Algebraic Concepts: Equivalence & Variable
Eric J. Knuth, Martha W. Alibali, Nicole M. McNeil, Aaron Weinberg, Ana C. Stephens
16. An Approach to Geometric and Numeric Patterning that Fosters Second Grade Students’ Reasoning and Generalizing about Functions and Co-variation
Joan Moss, Susan LondonMcNab
17. Grade 2 Students’ Non-Symbolic Algebraic Thinking
Luis Radford
18. Formation of Pattern Generalization Involving Linear Figural Patterns Among Middle School Students: Results of a Three-Year Study
F. D. Rivera, Joanne Rossi Becker
19. Commentary on PartII
Bharath Sriraman, Kyeong-Hwa Lee
20. Preface to PartIII
Eric Knuth, Jinfa Cai
21. Prospective Middle-School Mathematics Teachers’ Knowledge of Equations andInequalities
Nerida F. Ellerton, M. A. (Ken) Clements
22. The Algebraic Nature of Fractions: Developing Relational Thinking in Elementary School
Susan B. Empson, Linda Levi, Thomas P. Carpenter
23. Professional Development to Support Students’ Algebraic Reasoning: An Example fromtheProblem-Solving Cycle Model
Karen Koellner, Jennifer Jacobs, Hilda Borko, Sarah Roberts, Craig Schneider
24. Using Habermas’ Theory ofRationality toGain Insight intoStudents’ Understanding ofAlgebraic Language
Francesca Morselli, Paolo Boero
25. Theoretical Issues and Educational Strategies for Encouraging Teachers to Promote aLinguistic and Metacognitive Approach toEarly Algebra
Annalisa Cusi, Nicolina A. Malara, Giancarlo Navarra
26. A Procedural Focus and a Relationship Focus toAlgebra: How U.S. Teachers and Japanese Teachers Treat Systems of Equations
Margaret Smith
27. Teaching Algebraic Equations with Variation inChinese Classroom
Jing Li, Aihui Peng, Naiqing Song
28. Commentary on Part III
John Mason
29. Overall Commentary on Early Algebraization: Perspectives for Research and Teaching
Carolyn Kieran
Avainsanat: Education, Mathematics Education, Teaching and Teacher Education, Learning & Instruction, International and Comparative Education, Curriculum Studies
- Tekijä(t)
- Cai, Jinfa
- Knuth, Eric
- Julkaisija
- Springer
- Julkaisuvuosi
- 2011
- Kieli
- en
- Painos
- 1
- Sarja
- Advances in Mathematics Education
- Sivumäärä
- 23 sivua
- Kategoria
- Kasvatus, opetus
- Tiedostomuoto
- E-kirja
- eISBN (PDF)
- 9783642177354