Mathematics Education Research Journal

, Volume 19, Issue 1, pp 77–88 | Cite as

Characteristics of mathematics teaching in Shanghai, China: Through the lens of a Malaysian

  • Chap Sam Lim


The mathematical performance of Chinese students, from mainland China, Hong Kong and Taiwan, is widely acclaimed in international comparisons of mathematics achievement. However, in the eyes of the Western educators, the environments established in Chinese schools are deemed relatively unfavourable for mathematics learning. This paper reports on a study that investigates the characteristics of effective mathematics teaching in five Shanghai schools. Findings reveal that those characteristics include (a) teaching with variation; (b) emphasis of precise and elegant mathematical language; (c) emphasis of logical reasoning, mathematical thinking and proofing during teaching; (d) order and serious classroom discipline; (e) strong and coherence teacher-student rapport, and (f) strong collaborative culture amongst mathematics teachers.


Mathematics Teacher Mathematics Learning Mathematical Thinking Chinese Student Mathematics Achievement 
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  1. Ball, D. L., Lubienski, S. T., & Mewborn, D. S. (2001). Research on teaching mathematics: The unsolved problem of teachers’ mathematical knowledge. In V. Richardson (Ed.),Handbook of research on teaching (4th ed., pp. 433–456). Washington, D.C.: American Educational Research Association.Google Scholar
  2. Biggs, J. B. (1991). Approaches to learning in secondary and tertiary students in Hong Kong: Some comparative studies.Educational Research Journal, 6, 27–39.Google Scholar
  3. Biggs, J. B. (1994). What are effective schools? Lessons from East and West.Australian Educational Researcher, 21, 19–39.Google Scholar
  4. Bishop, A. J. (1991). Mathematical values in the teaching process. In A. J., Bishop, S. Mellin-Olsen, & J. van Dormolen (Eds.),Mathematical knowledge: Its growth through teaching (pp. 195–214). Dordrecht, The Netherlands: Kluwer.Google Scholar
  5. Bishop, A. J. (1994). Cultural conflicts in mathematics education: Developing a research agenda.For the Learning of Mathematics, 14(2), 15–18.Google Scholar
  6. Cai, J., Lin, F., & Fan, L. (2004). How do Chinese learn mathematics? Some evidence based insights and needed directions. In L. Fan, N. Y. Wong, J. Cai, & S. Li (Eds.),How Chinese learn mathematics: Perspectives from insiders (pp. 535–554). Singapore: World Scientific.CrossRefGoogle Scholar
  7. Chin, C. (1995).Mathematics teachers’ beliefs, their classroom practices and influences on student learning: Four case studies. Unpublished Doctor of Philosophy thesis, University of Cambridge, Cambridge, UK.Google Scholar
  8. Ernest, P. (1989). The Impact of beliefs on the teaching of mathematics. In P. Ernest (Ed.),Mathematics teaching: The state of the art (pp. 249–254). London: Falmer.Google Scholar
  9. Fan, L., Wong, N. Y., Cai, J., & Li, S. (Eds.). (2004).How Chinese learn mathematics: Perspectives from insiders. Singapore: World Scientific.Google Scholar
  10. Fan, L., & Zhu, Y. (2004). How Chinese students performed in mathematics? Aperspective from large scale international mathematics comparisons. In L. Fan, N. Y. Wong, J. Cai, & S. Li (Eds.),How Chinese learn mathematics: Perspectives from insiders (pp. 3–26). Singapore: World Scientific.CrossRefGoogle Scholar
  11. Fennema, E., & Franke, M. L. (1992). Teachers’ knowledge and its impact. In D. A. Grouws (Ed.),Handbook of research on mathematics teaching and learning (pp. 147–164). New York: Macmillan.Google Scholar
  12. Gu, L., Huang, R., & Marton, F. (2004). Teaching with variation: A Chinese way of promoting effective mathematics learning. In L. Fan, N. Y. Wong, J. Cai, & S. Li (Eds.),How Chinese learn mathematics: Perspectives from insiders (pp. 309–347). Singapore: World Scientific.CrossRefGoogle Scholar
  13. Gu, L. (1994).Theory of teaching experiment: The methodology and teaching principle of Qingpu. [in Chinese]. Beijing, China: Educational Science Press.Google Scholar
  14. Huang, R., & Leung, K. S. F. (2004). Cracking the paradox of Chinese learners: Looking into the mathematics classrooms in Hong Kong and Shanghai. In L. Fan, N. Y. Wong, J. Cai, & S. Li (Eds.),How Chinese learn mathematics: Perspectives from insiders (pp. 348–381). Singapore: World Scientific.CrossRefGoogle Scholar
  15. Ma, L. (1999).Knowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the United States. Hillsdale, NJ: Erlbaum.Google Scholar
  16. Lim, C. S., Fatimah S., & Tan, S. K. (2004). Culture of mathematics learning in Malaysia: Two case studies. In J. Wang, & B. Xu (Eds.),Trends and challenges in mathematics education (pp.139–157). Shanghai, China: East China Normal University Press.Google Scholar
  17. Morris, P. (1985). Teachers’ perceptions of the barriers to the implementation of a pedagogic innovation: A South East Asian case study.International Review of Education, 31, 3–18.CrossRefGoogle Scholar
  18. Mullis, I. V. S. et al. (2000).TIMSS 1999 International Mathematics Report. Boston: International Study Centre, Lynch School of Education, Boston College.Google Scholar
  19. Organisation for Economic Co-operation and Development [OECD]. (2001).Knowledge and skills for life: First results from PISA 2000. Paris: Author.Google Scholar
  20. QSR (2000). NUD·IST N5 [Computer Software]. Melbourne, QSR International Pty Ltd.Google Scholar
  21. Robitaille, D. F., & Garden, R.A. (Eds.) (1989).The IEA study of mathematics II: Contexts and outcomes of school mathematics. Oxford, UK: Pergamon.Google Scholar
  22. Seah, W. T. (2005). Negotiating about perceived value differences in mathematics teaching: The case of immigrant teachers in Australia. In H. K. Chick & J. L. Vincent (Eds.),Proceedings of the 29th conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 145–152). Melbourne: PME.Google Scholar
  23. Shanghai City Education Committee (2004).Shanghai City primary and secondary mathematics curriculum standard. Shanghai, China: Shanghai Education.Google Scholar
  24. Stevenson, H. W., Lummis, M., Lee, S., & Stigler, J. (1990).Making the grade in mathematics: Chinese, Japanese and American children. Reston, VA: National Council of Teachers of Mathematics.Google Scholar
  25. Thompson, A. G. (1992). Teachers’ beliefs and conceptions: A synthesis of the research. In D. A. Grouws (Ed.),Handbook of research on mathematics teaching and learning (pp. 127–146). New York: Macmillan.Google Scholar
  26. Watkins, D.A., & Biggs, J. B. (2001). The paradox of the Chinese learner and beyond. In D. A. Watkins & J. B. Biggs (Eds.),Teaching the Chinese learner: Psychological and pedagogical perspectives (pp. 3–26). Hong Kong: Comparative Education Research Centre, University of Hong Kong.Google Scholar
  27. Wong, N. Y. (2004). The CHC learner’s phenomenon: Its implications on mathematics education. In L. Fan, N. Y. Wong, J. Cai, & S. Li (Eds.),How Chinese learn mathematics: Perspectives from insiders (pp. 503–534). Singapore: World Scientific.CrossRefGoogle Scholar
  28. Wong, N. Y., Han, J., & Lee P. Y. (2004). The mathematics curriculum: Towards globalization or westernization? In L. Fan, N. Y. Wong, J. Cai, & S. Li (Eds.),How Chinese learn mathematics: Perspectives from insiders (pp. 27–70). Singapore: World Scientific.CrossRefGoogle Scholar

Copyright information

© Mathematics Education Research Group of Australasia Inc. 2007

Authors and Affiliations

  • Chap Sam Lim
    • 1
  1. 1.School of Educational StudiesUniversity of Science MalaysiaPenangMalaysia

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