© 2017

Teaching and Learning Mathematics through Variation

Confucian Heritage Meets Western Theories

  • Rongjin Huang
  • Yeping Li

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

Table of contents

  1. Front Matter
    Pages i-xv
  2. Theoretical Perspectives

    1. Front Matter
      Pages 1-1
    2. Rongjin Huang, Yeping Li
      Pages 3-11
    3. Feishi Gu, Rongjin Huang, Lingyuan Gu
      Pages 13-41
    4. Ming Fai Pang, Jiansheng Bao, Wing Wah Ki
      Pages 43-67
    5. Anne Watson
      Pages 85-103
  3. Variation as a Pedagogical Perspective for Classroom Instruction in China

    1. Front Matter
      Pages 105-105
    2. John Mason
      Pages 107-109
    3. Aihui Peng, Jing Li, Bikai Nie, Yanjie Li
      Pages 111-125
    4. Chunxia Qi, Ruilin Wang, Ida Ah Chee Mok, Danting Huang
      Pages 127-150
    5. Rongjin Huang, Frederick K. S. Leung
      Pages 151-168
    6. Xingfeng Huang, Xinrong Yang, Pingping Zhang
      Pages 169-186
    7. 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
    2. Konrad Krainer
      Pages 209-212
    3. Jianyue Zhang, Rong Wang, Rongjin Huang, Dovie Kimmins
      Pages 213-239
    4. 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

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"


Chinese pedagogy in mathematics Bianshi teaching (teaching with variation) Variation theory of learning Variation pedagogy Space of variation Conceptual

Editors and affiliations

  • Rongjin Huang
    • 1
  • Yeping Li
    • 2
    • 3
  1. 1.Middle Tennessee State UniversityUSA
  2. 2.Texas A&M UniversityUSA
  3. 3.Shanghai Normal UniversityChina

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
  • Copyright Information SensePublishers-Rotterdam, The Netherlands 2017
  • Publisher Name SensePublishers, Rotterdam
  • eBook Packages Education Education (R0)
  • eBook ISBN 978-94-6300-782-5
  • Edition Number 1
  • Number of Pages XVI, 460
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Education, general
  • Buy this book on publisher's site