Early Algebraization

A Global Dialogue from Multiple Perspectives

Editors:

ISBN: 978-3-642-17734-7 (Print) 978-3-642-17735-4 (Online)

Table of contents (29 chapters)

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  1. Front Matter

    Pages I-XXIII

  2. Curricular Perspective

    1. Front Matter

      Pages 1-2

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      Book Chapter

      Pages 3-4

      Preface to Part I

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      Book Chapter

      Pages 5-23

      Functional Thinking as a Route Into Algebra in the Elementary Grades

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      Book Chapter

      Pages 25-41

      Developing Students’ Algebraic Thinking in Earlier Grades: Lessons from China and Singapore

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      Book Chapter

      Pages 43-69

      Developing Algebraic Thinking in the Context of Arithmetic

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      Book Chapter

      Pages 71-85

      The Role of Theoretical Analysis in Developing Algebraic Thinking: A Vygotskian Perspective

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      Book Chapter

      Pages 87-107

      The Arithmetic-Algebra Connection: A Historical-Pedagogical Perspective

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      Book Chapter

      Pages 109-124

      Shiki: A Critical Foundation for School Algebra in Japanese Elementary School Mathematics

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      Book Chapter

      Pages 125-130

      Commentary on Part I

  3. Cognitive Perspective

    1. Front Matter

      Pages 131-133

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      Book Chapter

      Pages 135-136

      Preface to Part II

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      Book Chapter

      Pages 137-159

      Algebraic Thinking with and without Algebraic Representation: A Pathway for Learning

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      Book Chapter

      Pages 161-185

      Examining Students’ Algebraic Thinking in a Curricular Context: A Longitudinal Study

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      Book Chapter

      Pages 187-214

      Years 2 to 6 Students’ Ability to Generalise: Models, Representations and Theory for Teaching and Learning

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      Book Chapter

      Pages 215-238

      Algebra in the Middle School: Developing Functional Relationships Through Quantitative Reasoning

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      Book Chapter

      Pages 239-258

      Representational Competence and Algebraic Modeling

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      Book Chapter

      Pages 259-276

      Middle School Students’ Understanding of Core Algebraic Concepts: Equivalence & Variable

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      Book Chapter

      Pages 277-301

      An Approach to Geometric and Numeric Patterning that Fosters Second Grade Students’ Reasoning and Generalizing about Functions and Co-variation

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      Book Chapter

      Pages 303-322

      Grade 2 Students’ Non-Symbolic Algebraic Thinking

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      Book Chapter

      Pages 323-366

      Formation of Pattern Generalization Involving Linear Figural Patterns Among Middle School Students: Results of a Three-Year Study

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      Book Chapter

      Pages 367-373

      Commentary on Part II

  4. Instructional Perspective

    1. Front Matter

      Pages 375-376

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      Book Chapter

      Pages 377-378

      Preface to Part III

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