What Do Mathematics Students Say About Mathematics Internationally?

  • Leigh N. Wood
  • Peter Petocz
  • Anna Reid
Part of the Mathematics Education Library book series (MELI, volume 56)


In this chapter we continue our investigation of students’ views about mathematics. Here we move to the second phase of our project, involving a much larger and more diverse group, over a 1,000 undergraduate students from five universities in five different countries and continents. By extending our research to an international undergraduate group, we are able to check whether the results that we obtained with our small group of mathematics major students in an Australian university can be supported with a broader sample group. In order to achieve this generalisation, we changed some features of our earlier study. The most obvious one is that we have gathered students’ views using written, open-ended questions, making the investigation practicable, while still allowing us to identify new ideas. Further, our expanded group includes students studying mathematics as a ‘service’ subject, as well as mathematics majors. Our results show that the original analysis can be applied successfully to the larger group, with minor modifications. We report on the categorisations of students’ conceptions of mathematics and the relationships between these categories, supported by quotes from their written responses to the open-ended questions. We use standard quantitative techniques to investigate the relationships between the conceptions of mathematics and other variables such as university, year and area of study. We summarise students’ views about their future use of mathematics, obtained from the responses to two of the survey questions. Finally, we discuss the implications of these results for teaching and learning university mathematics, and assess the contribution of adding an international perspective to our overall aim of investigating the process of becoming a mathematician.


Mathematics Education Classification Tree Broad Conception Future Career Professional Skill 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Agresti, A. (1996). An introduction to categorical data analysis. New York: Wiley.Google Scholar
  2. Breiman, L., Friedman, J., Olshen, R., & Stone, C. (1984). Classification and regression trees. Belmont: Wadsworth.Google Scholar
  3. Dahlgren, L. O., Handal, G., Szkudlarek, T., & Bayer, M. (2007). Students as Journeymen between cultures of higher education and work. A comparative European project on the transition from higher education to worklife. Higher Education in Europe, 32(4), 305–316.CrossRefGoogle Scholar
  4. IBM SPSS. (2011). SPSS statistics 19. Online at (Originally used version 12, then versions 18/19 for the analyses described)
  5. Loughland, T., Reid, A., & Petocz, P. (2002). Young people’s conceptions of environment: A phenomenographic analysis. Environmental Education Research, 8(2), 187–197.CrossRefGoogle Scholar
  6. Petocz, P., & Reid, A. (2005). Something strange and useless: Service students’ conceptions of statistics, learning statistics and using statistics in their future profession. International Journal of Mathematical Education in Science and Technology, 36(7), 789–800.CrossRefGoogle Scholar
  7. Petocz, P., Griffiths, D., & Wright, P. (1996). Statistics for quality – Using statistics in Australian industry. Multimedia Package, Summer Hill Films, University of Technology, Sydney and University of Wollongong, Sydney.Google Scholar
  8. Petocz, P., Reid, A., & Loughland, T. (2003). The importance of adults’ conceptions of the environment for education. Australian Association for Research in Education 2003 conference papers. Compiled by Jeffery, P. L., AARE, Melbourne. Online at
  9. Reid, A., & Petocz, P. (2002). Students’ conceptions of statistics: A phenomenographic study. Journal of Statistics Education, 10(2). Online at
  10. Salford Systems. (2011). CART, version 6. Online at
  11. Weber, R. (1990). Basic content analysis (2nd ed.). Newbury Park: Sage Publications.Google Scholar
  12. Wood, L. N., Petocz, P., & Smith, G. H. (2000). Terror, tragedy and vibrations – Using mathematical models in engineering. Video (26 mins), booklet of exercises. Sydney: University of Technology.Google Scholar
  13. Wood, L. N., Thomas, T., & Rigby, B. (2011). Assessment and standards for graduate attributes. Asian Social Science, 7(4), 12–17. Online at

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  • Leigh N. Wood
    • 1
  • Peter Petocz
    • 2
  • Anna Reid
    • 3
  1. 1.Faculty of Business and EconomicsMacquarie UniversityNorth RydeAustralia
  2. 2.Department of StatisticsMacquarie UniversityNorth RydeAustralia
  3. 3.Sydney Conservatorium of MusicUniversity of SydneySydneyAustralia

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