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Teaching and Learning Mathematics through Variation

Confucian Heritage Meets Western Theories

  • Book
  • © 2017

Overview

Editors:
  1. Rongjin Huang

    1. Middle Tennessee State University, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Yeping Li

    1. Texas A&M University, USA
      Shanghai Normal University, China

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    You can also search for this editor in PubMed   Google Scholar

  • Theorizing a mathematical teaching practice, Bianshi teaching, that has been popular and effective in mathematics classrooms in China
  • Developing the theories about teaching and learning mathematics through variation by means of comparing and contrasting various notions on the use of patterns of variation and invariance in mathematics
  • Exemplifying and analyzing the systematic use of variations in classrooms, textbooks and teacher professional development programs in China and the adaptation of the variation theory in other selected education systems

Part of the book series: Mathematics Teaching and Learning (MTAL)

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-xv
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  2. Theoretical Perspectives

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Rongjin Huang, Yeping Li
      Pages 3-11

    3. Theory and Development of Teaching Through Variation in Mathematics in China

      • Feishi Gu, Rongjin Huang, Lingyuan Gu
      Pages 13-41

    4. ‘Bianshi’ and the Variation Theory of Learning

      • Ming Fai Pang, Jiansheng Bao, Wing Wah Ki
      Pages 43-67

    5. Variation in Tool-Based Mathematics Pedagogy

      • Allen Leung
      Pages 69-84

    6. Pedagogy of Variations

      • Anne Watson
      Pages 85-103

  3. Variation as a Pedagogical Perspective for Classroom Instruction in China

    1. Front Matter

      Pages 105-105
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    2. Introduction

      • John Mason
      Pages 107-109

    3. Characteristics of Teaching Mathematical Problem Solving in China

      • Aihui Peng, Jing Li, Bikai Nie, Yanjie Li
      Pages 111-125

    4. Teaching the Formula of Perfect Square through Bianshi Teaching

      • Chunxia Qi, Ruilin Wang, Ida Ah Chee Mok, Danting Huang
      Pages 127-150

    5. Teaching Geometrical Concepts through Variation

      • Rongjin Huang, Frederick K. S. Leung
      Pages 151-168

    6. Teaching Geometry Review Lesson through Variation

      • Xingfeng Huang, Xinrong Yang, Pingping Zhang
      Pages 169-186

    7. Teaching Algebra through Variations

      • Ida Ah Chee Mok
      Pages 187-205

  4. The Pedagogical Perspective of Variations as a Principle for Curriculum Development and Teacher Professional Development in China

    1. Front Matter

      Pages 207-207
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    2. Introduction

      • Konrad Krainer
      Pages 209-212

    3. Strategies for Using Variation Tasks in Selected Mathematics Textbooks in China

      • Jianyue Zhang, Rong Wang, Rongjin Huang, Dovie Kimmins
      Pages 213-239

    4. An Expert Teacher’s Use of Teaching with Variation to Support a Junior Mathematics Teacher’s Professional Learning

      • Liping Ding, Keith Jones, Svein Arne Sikko
      Pages 241-266

    5. Teaching and Learning Mathematics through Variation in Lesson Study

      • Xue Han, Zikun Gong, Rongjin Huang
      Pages 267-293

  5. Use of the Pedagogy of Variation Around the World

    1. Front Matter

      Pages 295-295
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Keywords

About this book

"Efforts to improve mathematics teaching and learning globally have led to the ever-increasing interest in searching for alternative and effective instructional approaches from others. Students from East Asia, such as China and Japan, have consistently outperformed their counterparts in the West. Yet, Bianshi Teaching (teaching with variation) practice, which has been commonly used in practice in China, has been hardly shared in the mathematics education community internationally. This book is devoted to theorizing the Chinese mathematical teaching practice, Bianshi teaching, that has demonstrated its effectiveness over half a century; examining its systematic use in classroom instruction, textbooks, and teacher professional development in China; and showcasing of the adaptation of the variation pedagogy in selected education systems including Israel, Japan, Sweden and the US. This book has made significant contributions to not only developing the theories on teaching and learning mathematics through variation, but also providing pathways to putting the variation theory into action in an international context.“This book paints a richly detailed and elaborated picture of both teaching mathematics and learning to teach mathematics with variation. Teaching with variation and variation as a theory of learning are brought together to be theorized and exemplified through analysis of teaching in a wide variety of classrooms and targeting both the content and processes of mathematical thinking. Highly recommended.” – Kaye Stacey, Emeritus Professor of Mathematics Education, University of Melbourne, Australia 
“Many teachers in England are excited by the concept of teaching with variation and devising variation exercises to support their pupils’ mastery of mathematics. However, fully understanding and becoming proficient in its use takes time. This book provides a valuable resource to deepen understanding through the experiences of other teachers shared within the book and the insightful reflections of those who have researched this important area. – Debbie Morgan, Director for Primary Mathematics, National Centre for Excellence in the Teaching of Mathematics, United Kingdom"


Editors and Affiliations

  • Middle Tennessee State University, USA

    Rongjin Huang

  • Texas A&M University, USA

    Yeping Li

  • Shanghai Normal University, China

    Yeping Li

Bibliographic Information

  • Book Title: Teaching and Learning Mathematics through Variation

  • Book Subtitle: Confucian Heritage Meets Western Theories

  • Editors: Rongjin Huang, Yeping Li

  • Series Title: Mathematics Teaching and Learning

  • DOI: https://doi.org/10.1007/978-94-6300-782-5

  • Publisher: SensePublishers Rotterdam

  • eBook Packages: Education, Education (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature B.V. 2017

  • eBook ISBN: 978-94-6300-782-5Published: 06 February 2017

  • Edition Number: 1

  • Number of Pages: XVI, 460

  • Topics: Education, general

  • Industry Sectors: Engineering, Pharma

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