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Valuing from Student’s Perspectives as a Lens to Understand Mathematics Learning: The Case of Hong Kong

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Views and Beliefs in Mathematics Education


Values, as a culturally specific notion, have a vital role to play in classroom mathematics learning. In this chapter, we argue that valuing, especially from the student’s perspective, serves as a lens for us to better understand how they perform in mathematics learning. To develop such a lens, we investigated the componential structure of Hong Kong mathematics students by utilising a values questionnaire as a lens to better understand what the students find important in mathematics learning. A principal component analysis has been used in this study with the objective to interrogate the data. The analysis of the data led to the identification of nine components valued by Hong Kong students in their mathematics learning. We discuss the findings in terms of the Hong Kong culture and context and the value categories and we suggest implications for future research studies.

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  • Baroody, A. J., Feil, Y., & Johnson, A. R. (2007). An alternative reconceptualization of procedural and conceptual knowledge. Journal for Research in Mathematics Education, 38(2), 115–131.

    Google Scholar 

  • Bishop, A., Clarke, B., Corrigan, D., & Gunstone, D. (2006). Values in mathematics and science education: Researchers’ and teachers’ views on the similarities and differences. For the Learning of Mathematics, 26(1), 7–11.

    Google Scholar 

  • Bishop, A. J. (1988). Mathematical enculturation: A cultural perspective on mathematics education. Dordrecht, The Netherlands: Kluwer Academic Publishers.

    Book  Google Scholar 

  • Bishop, A. J. (1996, June 3–7). How should mathematics teaching in modern societies relate to cultural values – Some preliminary questions. Paper presented at the seventh southeast Asian conference on mathematics education, Hanoi, Vietnam.

    Google Scholar 

  • Bishop, A. J. (1999). Educating student teachers about values in mathematics education. In F.-L. Lin (Ed.), Proceedings of the 1999 international conference on mathematics teacher education (Vol. 2, pp. 1–6). Taipei, Taiwan: National Taiwan Normal University.

    Google Scholar 

  • Cai, J., & Wong, N. Y. (2012). Effective mathematics teaching: Conceptualisation, research, and reflections. In W. Blum, R. B. Ferri, & K. Maaß (Eds.), Mathematikunterricht im Kontext von Realität, Kultur und Lehrerprofessionalität (Mathematics lesson in the context of reality, culture and teacher professionalism) (pp. 294–303). Wiesbaden, Germany: Springer Spektrum.

    Chapter  Google Scholar 

  • Clarke, D. (2003, April 21–25). The structure of mathematics lessons in Australia. Paper presented at the 84th annual meeting of the American Educational Research Association, Chicago.

    Google Scholar 

  • Clarkson, P., Bishop, A. J., FitzSimons, G. E., & Seah, W. T. (2000). Challenges and constraints in researching values. In J. Bana & A. Chapman (Eds.), Mathematics education beyond 2000: Proceedings of the 23rd annual conference of the Mathematics Education Research Group of Australasia Incorporated held at Fremantle, Western Australia, 5–9 July, 2000 (Vol. 1, pp. 188–195). Perth, Australia: Mathematics Education Research Group of Australasia Incorporated.

    Google Scholar 

  • Graham, J. W., & Hofer, S. M. (2000). Multiple imputation in multivariate research. In T. D. Little, K. U. Schnabel, & J. Baumert (Eds.), Modeling longitudinal and multiple-group data: Practical issues, applied approaches, and specific examples (pp. 201–218). Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Hofstede, G. (1997). Cultures and organizations: Software of the mind (Revised ed.). New York: McGraw-Hill.

    Google Scholar 

  • Klassen, R. M. (2004). Optimism and realism: A review of self-efficacy from a cross-cultural perspective. International Journal of Psychology, 39(3), 205–230.

    Article  Google Scholar 

  • Krathwohl, D. R., Bloom, B. S., & Masia, B. B. (1964). Taxonomy of educational objectives: The classification of educational goals (Handbook II: Affective domain). New York: David McKay.

    Google Scholar 

  • Law, H. Y., Wong, N. Y., & Lee, N. Y. (2012). A study into espoused values in Hong Kong mathematics classrooms. ZDM – The International Journal on Mathematics Education, 44, 45–57.

    Article  Google Scholar 

  • Lee, J. (2009). Universals and specifics of math self-concept, math-efficacy, and math anxiety across 41 PISA 2003 participating countries. Learning and Individual Differences, 19, 355–365.

    Article  Google Scholar 

  • Seah, W. T. (2005). Immigrant mathematics teachers’ negotiation of differences in norms: The role of values. In M. Goos, C. Kanes, & R. Brown (Eds.), Mathematics education and society: Proceedings of the 4th international mathematics education and society conference (pp. 279–289). Queensland, Australia: Griffith University.

    Google Scholar 

  • Seah, W. T. (2011). Effective mathematics learning in two Australian Primary classes: Exploring the underlying values. In B. Ubuz (Ed.), Proceedings of the 35th conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 129–136). Ankara, Turkey: PME.

    Google Scholar 

  • Seah, W. T. (2018). Improving mathematics pedagogy through student/teacher valuing: Lessons from five continents. In G. Kaiser, H. Forgasz, M. Graven, A. Kuzniak, E. Simmt, & B. Xu (Eds.), Invited lectures from the 13th international congress on mathematical education (pp. 561–580). Cham, Switzerland: Springer International Publishing.

    Chapter  Google Scholar 

  • Seah, W. T., & Andersson, A. (2015). Valuing diversity in mathematics pedagogy through the volitional nature and alignment of values. In A. Bishop, H. Tan, & T. Barkatsas (Eds.), Diversity in mathematics education: Towards inclusive practices (pp. 167–183). Cham, Switzerland: Springer International Publishing.

    Google Scholar 

  • Seah, W. T., Atweh, B., Clarkson, P., & Ellerton, N. (2008). Sociocultural perspectives in mathematics teaching and learning. In H. Forgasz, A. Barkatsas, A. Bishop, B. Clarke, S. Keast, W. T. Seah, & P. Sullivan (Eds.), Research in mathematics education in Australasia 2004–2007 (pp. 223–253). Rotterdam, The Netherlands: Sense Publishers.

    Google Scholar 

  • Seah, W. T., & Wong, N. Y. (2012). What students value in effective mathematics learning: A ‘third wave project’ research study. ZDM – The International Journal on Mathematics Education, 44(1), 33–44.

    Article  Google Scholar 

  • Tabachnick, B. G., & Fidell, L. S. (1996). Using multivariate statistics (3rd ed.). New York: Harper Collins.

    Google Scholar 

  • 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.

    Chapter  Google Scholar 

  • Wong, N. Y., & Watkins, D. (2001). Mathematics understanding: Students’ perception. The Asia-Pacific Education Researcher, 10(1), 41–59.

    Google Scholar 

  • Wong, Q. T., Wong, N. Y., Lam, C. C., & Zhang, Q. P. (2009). Beliefs about mathematics and effective teaching among elementary mathematics teachers in Hong Kong. In J. Cai, G. Kaiser, B. Perry, & N. Y. Wong (Eds.), Effective mathematics teaching from teachers’ perspectives: National and cross-national studies (pp. 217–234). Rotterdam, The Netherlands: Sense Publishers.

    Google Scholar 

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This paper reports on the WIFI project funded by the Direct Grant for Research, project number 2080075, from the Faculty of Education at The Chinese University of Hong Kong. Any opinions and conclusions are those of the authors and not necessarily those of the university.

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Correspondence to Tasos Barkatsas .

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Barkatsas, T., Law, H.Y., Wong, N.Y., Seah, W.T. (2018). Valuing from Student’s Perspectives as a Lens to Understand Mathematics Learning: The Case of Hong Kong. In: Rott, B., Törner, G., Peters-Dasdemir, J., Möller, A., Safrudiannur (eds) Views and Beliefs in Mathematics Education. Springer, Cham.

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