Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds The Global Evolution of an Emerging Field of Research and Practice /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Kieran, Carolyn (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: ICME-13 Monographs,
• Subjects: Mathematics-Study and teaching .; Learning.; Instruction.; Teaching.; Mathematics Education.; Learning & Instruction.; Teaching and Teacher Education.

This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (Inte...

Table of Contents:

• 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.