Developing a ‘leading identity’: the relationship between students’ mathematical identities and their career and higher education aspirations

  • Laura Black
  • Julian Williams
  • Paul Hernandez-Martinez
  • Pauline Davis
  • Maria Pampaka
  • Geoff Wake


The construct of identity has been used widely in mathematics education in order to understand how students (and teachers) relate to and engage with the subject (Kaasila, 2007; Sfard & Prusak, 2005; Boaler, 2002). Drawing on cultural historical activity theory (CHAT), this paper adopts Leont’ev’s notion of leading activity in order to explore the key ‘significant’ activities that are implicated in the development of students’ reflexive understanding of self and how this may offer differing relations with mathematics. According to Leont’ev (1981), leading activities are those which are significant to the development of the individual’s psyche through the emergence of new motives for engagement. We suggest that alongside new motives for engagement comes a new understanding of self—a leading identity—which reflects a hierarchy of our motives. Narrative analysis of interviews with two students (aged 16–17 years old) in post-compulsory education, Mary and Lee, are presented. Mary holds a stable ‘vocational’ leading identity throughout her narrative and, thus, her motive for studying mathematics is defined by its ‘use value’ in terms of pursuing this vocation. In contrast, Lee develops a leading identity which is focused on the activity of studying and becoming a university student. As such, his motive for study is framed in terms of the exchange value of the qualifications he hopes to obtain. We argue that this empirical grounding of leading activity and leading identity offers new insights into students’ identity development.


Aspirations Leading activity Identity Cultural models Cultural–historical activity theory 



This research has been funded by the ESRC Teaching and Learning Programme under the theme of Widening Participation in HE (RES139-25-0241). We would like to thank them for their continued support.


  1. Beach, K. (1995). Activity as a mediator of sociocultural change and individual development: The case of school-work transition in Nepal. Mind, Culture and Activity, 2(4), 285–302.Google Scholar
  2. Beach, K. (1999). Consequential transitions: A sociocultural expedition beyond transfer in education. Review of Research in Education, 24, 101–139.Google Scholar
  3. Boaler, J. (2002). Exploring the nature of mathematical activity: using theory, research and ‘working hypotheses’ to broaden conceptions of mathematics knowing. Education Studies in Mathematics, 51(1–2), 3–21.CrossRefGoogle Scholar
  4. Boaler, J. & Greeno, J. (2000). Identity, agency, and knowing in mathematics worlds. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching. Westport: Ablex.Google Scholar
  5. Bruner, J. (1996). The culture of education. Cambridge: Harvard University Press.Google Scholar
  6. Davis, P., Pampaka, M., Williams, J., Wake, G., Nicholson, S., Hutcheson, G. et al. (2008). Participating differently in mathematics: The value of mathematics, learner approach and programme context. Working paper available at
  7. Festinger, L. (1957). A theory of cognitive dissonance. Stanford: Stanford University Press.Google Scholar
  8. Gee, J. (1996). Social linguistics and literacies: ideology in discourses. New York: Routledge Falmer.Google Scholar
  9. Gee, J. (1999). An introduction to discourse analysis: theory and method. London: Routledge.Google Scholar
  10. Goodson, I. F. & Sikes, P. (2001). Life history research in educational settings. Learning from lives. Buckingham: Open University Press.Google Scholar
  11. Harmon-Jones, E. & Mills, J. (1999). Cognitive dissonance: 50 years of a classic theory. London: Sage.CrossRefGoogle Scholar
  12. Hernandez-Martinez, P., Black, L., Willians, J., Davis, P., Pampaka, M., & Wake, G. (2008). Mathematics students’ aspirations for higher education: class, ethnicity, gender and interpretative repertoire styles. Research Papers in Education, 23(2), 153–165.CrossRefGoogle Scholar
  13. Holland, D., Lachicotte, W., Jr., Skinner, D., & Cain, C. (1998). Identity and agency in cultural worlds. Cambridge: Harvard University Press.Google Scholar
  14. Holland, D. & Quinn, N. (1987). Cultural models in language and thought. Cambridge: Cambridge University Press.Google Scholar
  15. Jenkins, R. (2004). Social identity. London: Routledge.Google Scholar
  16. Kaasila, R. (2007). Mathematical biography and key rhetoric. Educational Studies in Mathematics, 66, 373–384.CrossRefGoogle Scholar
  17. Leont’ev. (1981). Problems of the development of mind. Moscow: Progress.Google Scholar
  18. Mendick, H. (2006). Masculinities in mathematics. Berks: Open University Press.Google Scholar
  19. Roth, W.-M., Hwang, S. W., Goulart, M., & Lee, Y.-J. (2005). Participation, learning and identity: dialectical perspectives. Berlin: Lehmanns Media.Google Scholar
  20. Sfard, A. & Prusak, A. (2005). Telling identities: in search of an analytic tool for investigating learning as a culturally shaped activity. Educational Researcher, 34(4), 14–22.CrossRefGoogle Scholar
  21. Solomon, Y. (2007). Not belonging? What makes a functional learner identity in the undergraduate mathematics community of practice? Studies in Higher Education, 32(1), 79–96.CrossRefGoogle Scholar
  22. Solomon, Y. (2008). Mathematical literacy: Developing identities of inclusion. London: Routledge.Google Scholar
  23. Stetsenko, A. & Arievitch, I. M. (2004). The self in cultural–historical activity. Theory: Reclaiming the unity of social and individual dimensions of human development. Theory and Psychology, 14(4), 475–503.CrossRefGoogle Scholar
  24. Wake, G., & Davis, P. (2008). Renegotiating identities: Mediation of troubling AS level mathematics. Paper presented at the Society for Research in Higher Education annual conference, Liverpool, DecemberGoogle Scholar
  25. Williams, J. (2008) Towards a Theory of Value in Education. Paper presented at the Society for Research in Higher Education Conference, Liverpool, December.Google Scholar
  26. Williams, J., Davis, P., & Black, L. (2007). Sociocultural and Cultural–Historical Activity Theory perspectives on subjectivities and learning in schools and other educational contexts. International Journal of Educational Research, 46(1–2), 1–7.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  • Laura Black
    • 1
  • Julian Williams
    • 1
  • Paul Hernandez-Martinez
    • 1
  • Pauline Davis
    • 1
  • Maria Pampaka
    • 1
  • Geoff Wake
    • 1
  1. 1.School of EducationUniversity of ManchesterManchesterUK

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