Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds The Global Evolution of an Emerging Field of Research and Practice /
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| Altres autors: | |
| Sumari: | XIII, 443 p. 139 illus., 9 illus. in color. text |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer International Publishing : Imprint: Springer,
2018.
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| Edició: | 1st ed. 2018. |
| Col·lecció: | ICME-13 Monographs,
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| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-319-68351-5 |
| Format: | Electrònic Llibre |
Taula de continguts:
- Introduction
- Part I Theoretical Perspectives for Developing Early Algebraic Thinking
- The Emergence of Symbolic Algebraic Thinking in Primary School
- 2 Implementing a Framework for Early Algebra
- 3 New Words and Concepts for Early Algebra Teaching: Sharing with Teachers Epistemological Issues in Early Algebra to Develop Students’ Early Algebraic Thinking
- 4 Seeking, Using, and Expressing Structure in Numbers and Numerical Operations: A Fundamental Path to Developing Early Algebraic Thinking
- 5 Cultivating Early Algebraic Thinking
- Part II Learning to Think Algebraically in Primary and Lower Middle School
- 6 Characteristics of Korean Students’ Early Algebraic Thinking: A Generalized Arithmetic Perspective
- 7 Function Tasks, Input, Output, and The Predictive Rule: How some Singapore Primary Children Construct the Rule
- 8 Algebraic Understanding of Equalities in Primary Classes
- 9 Observations of Structure within Shape Patterns
- 10 Generalizing Fractional Structures: A Critical Precursor To Algebraic Thinking
- 11 First Encounter with Variables by First and Third Grade Spanish Students
- Part III Teaching for the Development of Early Algebraic Thinking
- 12 Making Implicit Algebraic Thinking Explicit: Exploiting National Characteristics of German Approaches
- 13 Early Algebra as Analysis of Structure: A Focus on Operations
- 14 How Early Is too Early for Thinking Algebraically?
- 15 Cycles of Generalizing Activities in the Classroom
- 16 Scaffolding Teacher Practice to Develop Early Algebraic Reasoning
- 17 Preservice Teachers’ Knowledge to Teach Functional Thinking
- Conclusions and Looking Ahead.