Skip to main content
Log in

A situational study of the meanings of personal excellence for secondary mathematics teachers and students

  • Published:
Educational Studies in Mathematics Aims and scope Submit manuscript

Abstract

Excellence in education has become the watchword in the past decade. This paper describes aspects of research conducted with two secondary mathematics teachers and seven senior students, which explored their perceptions of mathematics as they have experienced it, and their beliefs about personal excellence in school mathematics. Three categories of excellent students are described as identified by the participants. While the teachers endeavoured to extend the meaning of excellence beyond test achievement alone, the system within which they function largely supports a technical (excellence as marks) conception of education. I argue that this has led teachers and students to a restricted view of the potential for excellence in the secondary mathematics classroom. In particular, it limits the possibility for a strong understanding of personal excellence as an inseparable intellectual and moral journey of ‘becoming’, fostered in the environment of a genuine community of mathematics learners.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Aoki, T.: 1990, ‘Beyond the half-life of curriculum and pedagogy,’ delta-K 28(2), 5–12.

    Google Scholar 

  • Arendt, H.: 1958, The Human Condition, University of Chicago, Chicago.

    Google Scholar 

  • Aristotle: 1980, The Nichomachean Ethics (W.D. Ross, Trans., rev. by J.L. Ackrill and J.O. Urmson), Oxford University, Oxford.

    Google Scholar 

  • Bond, E.J.: 1983, Reason and Value, Cambridge University, Cambridge.

    Google Scholar 

  • Broudy, H.S., Smith, B.O. and Burnett, J.R.: 1964, Democracy and Excellence in American Secondary Education, Rand McNally, Chicago.

    Google Scholar 

  • Burton, L.: 1987, ‘From failure to success: Changing the experience of adult learners of mathematics,’ Educational Studies in Mathematics 18, 305–316.

    Google Scholar 

  • Council of Ministers of Education, Canada: 1988, Recent Trends in Curriculum Reform at the Elementary and Secondary Levels in Canada, Author, Toronto.

  • Crittenden, B.: 1973, Education and Social Ideals: A Study in Philosophy of Education, Longman Canada, Don Mills.

    Google Scholar 

  • Donaldson, G.A. Jr.: 1985, ‘Sisyphus and school improvement: Fulfilling the promise of excellence,’ Educational Leadership 42(6), 4–7.

    Google Scholar 

  • Doyle, D.P.: 1987, ‘The excellence movement, academic standards, a core curriculum and choice: How do they connect?’, in W.L.Boyd and C.T.Kerchner (eds.), The Politics of Excellence and Choice in Education, Falmer, New York, pp. 13–23.

    Google Scholar 

  • Drengson, A.R.: 1983, ‘Mastery and masters,’ Philosophy Today 27, 230–246.

    Google Scholar 

  • Driscoll, M.J.: 1987, Stories of Excellence: Ten Case Studies from a Study of Exemplary Mathematics Programs, National Council of Teachers of Mathematics, Reston.

    Google Scholar 

  • DuFour, R. and Eaker, R.: 1987. Fulfilling the Promise of Excellence: A Practitioner's Guide to School Improvement, Wilkerson, Westbury, NY.

    Google Scholar 

  • Ernest, P.: 1991, The Philosophy of Mathematics Education, Falmer, London.

    Google Scholar 

  • Franks, D.R.: 1992, A Study of the Meanings of Excellence in School Mathematics for Secondary Mathematics Teachers and Students, unpublished dissertation, University of Alberta, Edmonton, Canada.

    Google Scholar 

  • Gardner, J.W.: 1984, Excellence: Can We be Equal and Excellent Too?, (rev. ed.), Norton, New York.

    Google Scholar 

  • Glazer, N.: 1985, ‘The problem with competence’, in J.H.Bunzel (ed.), Challenge to American Schools: The Case for Standards and Values, Oxford University, New York, pp. 216–231.

    Google Scholar 

  • Gowin, D.B.: 1981, Educating, Cornell University, Ithaca.

    Google Scholar 

  • Grant, G.: 1985, ‘Schools that make an imprint: Creating a strong positive ethos’, in J.H.Bunzel (ed.), Challenge to American Schools: The Case for Standards and Values, Oxford University, New York, pp. 127–143.

    Google Scholar 

  • Greene, M.: 1984, ‘“Excellence”, meanings, and multiplicity’, Teachers College Record 86, 283–297.

    Google Scholar 

  • Greene, M.: 1989, ‘The question of standards’, Teachers College Record 91, 9–14.

    Google Scholar 

  • Hale, F.W. Jr.: 1978, ‘An agenda for excellence: You can make the difference’, Phi Delta Kappan 60, 204S-206S.

    Google Scholar 

  • Howe, H. II.: 1987, ‘Remarks on equity and excellence in education’, Harvard Educational Review 57, 199–202.

    Google Scholar 

  • Knitter, W.: 1988, ‘The informing vision of the practical: The concepts of character, virtue, vice and privation’, Journal of Curriculum Studies 20, 483–492.

    Google Scholar 

  • Kvale, S.: 1984, ‘The qualitative research interview: A phenomenological and a hermeneutical mode of understanding’, Journal of Phenomenological Psychology 14, 482–496.

    Google Scholar 

  • Lyons, D.: 1976, ‘Action, excellence, and achievement’, Inquiry 19, 277–297.

    Google Scholar 

  • Nathanson, J.: 1974, ‘Individuality, permissiveness, and work’, in J.Nathanson (ed.), Individual Excellence and Social Responsibility, Prometheus, Buffalo, pp. 1–22.

    Google Scholar 

  • National Commission on Excellence in Education: 1983, ‘A nation at risk: The imperative for educational reform’, Communications of the ACM 26, 467–478.

    Google Scholar 

  • National Council of Teachers of Mathematics: 1989, Curriculum and Evaluation Standards for School Mathematics, Author, Reston, VA.

  • National Council of Teachers of Mathematics: 1995, Assessment Standards for School Mathematics, Author, Reston, VA.

  • Noblit, G.W. and Pink, W.T. (eds.): 1987, Schooling in Social Context: Qualitative Studies, Ablex, Norwood, NJ.

    Google Scholar 

  • Norton, D.L.: 1980, ‘Equality and excellence in the democratic ideal’, in M.Wohlgelernter (ed.), History, Religion, and Spiritual Democracy, Columbia University, New York, pp. 273–293.

    Google Scholar 

  • Peters, R.S.: 1975, ‘Education and the educated man’, in R.F.Dearden, P.H.Hirst and R.S.Peters (eds.), A Critique of Current Educational Aims, Routledge & Kegan Paul, London, pp. 1–16.

    Google Scholar 

  • Prakash, M.S. and Waks, L.J.: 1985, ‘Four conceptions of excellence’, Teachers College Record 87, 79–101.

    Google Scholar 

  • Rokeach, M.: 1973, The Nature of Human Value, Free Press, New York.

    Google Scholar 

  • Romberg, T.A. and Carpenter, T.P.: 1986, ‘Research on teaching and learning mathematics: Two disciplines of scientific enquiry’, in M.C.Wittrock (ed.), Handbook of Research on Teaching, (3rd. ed.), New York, Macmillan, pp. 850–873.

    Google Scholar 

  • Singleton, W.T.: 1979, ‘Final discussion’, in W.T.Singleton (ed.), Compliance and Excelience, MTP, Lancaster, pp. 306–317.

    Google Scholar 

  • Sirotnik, K.A. and Goodlad, J.I.: 1985, ‘The quest for reason amidst the rhetoric of reform: Improving instead of testing our schools’, in W.J.Johnston (ed.), Education on Trial: Strategies for the Future, Institute for Contemporary Studies, San Francisco, pp. 277–298.

    Google Scholar 

  • Stern, A.: 1962, Philosophy of History and the Problem of Values, Mouton, The Hague.

    Google Scholar 

  • Timar, T.B. and Kirp, D.L.: 1988, Managing Educational Excellence, Falmer, New York.

    Google Scholar 

  • Von Wright, G.H.: 1963, The Varieties of Goodness, Routledge & Kegan Paul, London.

    Google Scholar 

  • Wilcox, S.K., Schram, P., Lappan, G. and Lanier, P.: 1991, The Role of a Learning Community in Changing Preservice Teachers' Knowledge and Beliefs about Mathematics Education, East Lansing: National Center for Research on Teacher Education, Michigan State University, East Lansing.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Franks, D.R. A situational study of the meanings of personal excellence for secondary mathematics teachers and students. Educ Stud Math 31, 295–317 (1996). https://doi.org/10.1007/BF00376324

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00376324

Keywords

Navigation