Kieran, Carolyn
Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds
Part I. Theoretical Perspectives for Developing Early Algebraic Thinking
1. The Emergence of Symbolic Algebraic Thinking in Primary School
Luis Radford
2. Implementing a Framework for Early Algebra
Maria Blanton, Bárbaras M. Brizuela, Ana Stephens, Eric Knuth, Isil Isler, Angela Murphy Gardiner, Rena Stroud, Nicole L. Fonger, Despina Stylianou
3. New Words and Concepts for Early Algebra Teaching: Sharing with Teachers Epistemological Issues in Early Algebra to Develop Students’ Early Algebraic Thinking
Nicolina A. Malara, Giancarlo Navarra
4. Seeking, Using, and Expressing Structure in Numbers and Numerical Operations: A Fundamental Path to Developing Early Algebraic Thinking
Carolyn Kieran
5. Cultivating Early Algebraic Thinking
David W. Carraher, Analúcia D. Schliemann
Part II. Learning to Think Algebraically in Primary and Lower Middle School
6. Characteristics of Korean Students’ Early Algebraic Thinking: A Generalized Arithmetic Perspective
JeongSuk Pang, JeongWon Kim
7. Function Tasks, Input, Output, and the Predictive Rule: How Some Singapore Primary Children Construct the Rule
Swee Fong Ng
8. Algebraic Understanding of Equalities in Primary Classes
Ralph Schwarzkopf, Marcus Nührenbörger, Carolin Mayer
9. Observations of Structure Within Shape Patterns
Aisling Twohill
10. Generalizing Fractional Structures: A Critical Precursor to Algebraic Thinking
Catherine Pearn, Max Stephens
11. First Encounter with Variables by First and Third Grade Spanish Students
Marta Molina, Rebecca Ambrose, Aurora Rio
Part III. Teaching for the Development of Early Algebraic Thinking
12. Making Implicit Algebraic Thinking Explicit: Exploiting National Characteristics of German Approaches
Anna S. Steinweg, Kathrin Akinwunmi, Denise Lenz
13. Early Algebra as Analysis of Structure: A Focus on Operations
Deborah Schifter
14. How Early Is Too Early for Thinking Algebraically?
John Mason
15. Cycles of Generalizing Activities in the Classroom
Susanne Strachota, Eric Knuth, Maria Blanton
16. Scaffolding Teacher Practice to Develop Early Algebraic Reasoning
Jodie Hunter, Glenda Anthony, David Burghes
17. Preservice Teachers’ Knowledge to Teach Functional Thinking
Sharon Mc Auliffe, Cornelis Vermeulen
Keywords: Education, Mathematics Education, Learning & Instruction, Teaching and Teacher Education
- Editor
- Kieran, Carolyn
- Publisher
- Springer
- Publication year
- 2018
- Language
- en
- Edition
- 1
- Series
- ICME-13 Monographs
- Page amount
- 13 pages
- Category
- Upbringing, Education
- Format
- Ebook
- eISBN (PDF)
- 9783319683515
- Printed ISBN
- 978-3-319-68350-8