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Self-portrait: A tool for understanding the teaching of mathematics

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Abstract

In a course labelled “math methods” for preservice elementary school teachers, the focus is on constructivist philosophy and teaching as synonymous with research. The participants consciously view themselves as teacher-learners by continuously looking at their perception of self in a set of written responses: “Self-portrait as a Teacher.” Three of these self-reflections are collected over ten weeks. The data show that the initial stage is a general, often vague, perception and description of a mathematics teacher, reflecting the media portrayal of the necessity of mathematics in schools, followed by confusion and frustration of not knowing mathematics in sufficient depth to explain it to others. The final portrait shows some resolution of conflict and self-discovery in “doing” mathematics. In all, the practice of self-regulation becomes progressively more evident. Although teaching is acknowledged as a reflective practice, ways of facilitating the self reflection of preservice teachers are not widely known. The use of self-portraits brings out the profile of a learner, which helps provide individual and group preparation, and assists in building a learning community of teachers.

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References

  1. Apple, M. W. (1992). Do the standards go far enough? Power, policy, and practice in mathematics education.Journal for Research in Mathematics Education, 23, 412–431.

  2. Bishop, A. J. 1990. Mathematical power to people.Harvard Educational Review, 60, 357–369.

  3. Borasi, R., & Rose, B. (1989). Journal writing and mathematics instruction.Educational Studies in Mathematics, 20, 347–365.

  4. Brown, C. A., & Borko, H. 1992. Becoming a mathematics teacher. In D. A. Grows (Ed.),Handbook of research on mathematics teaching and learning, (pp. 209–239). New York: Macmillan.

  5. Clarke, D. J., Frid, S., & Barnett, C. (1993). Triadic systems in education: Categorical, cultural or coincidence. In B. Atweh, C. Kanes, M. Carss & G. Booker (Eds.),Contexts in mathematics education (pp. 153–160). Brisbane: Mathematics Education Research Group of Australasia.

  6. Clarke, D. J., Clarke, D. M. & Lovitt, C. J. 1990. Changes in teaching mathematics: Call for assessment alternatives. In T. J. Cooney (ed.)Teaching and learning mathematics in the 1990s. 1990 Yearbook, pp.118–129. Reston, VA: National Council of Teachers of Mathematics.

  7. D’Andrade, R. (1987). A folk model of the mind. In D. Holland & N. Quinn (Eds.),Cultural models in language and thought (pp. 112–148). Cambridge: Cambridge University Press.

  8. Duckworth, E. (1987). “The having of wonderful ideas” and other essays. New York: Teachers College Press.

  9. 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. 147–16). New York: Macmillan.

  10. Grimmett, P. P. (1988). The nature of reflection and Schon’s perspective. In P. P. Grimmett & G. L. Erickson (Eds.),Reflection in Teacher Education (pp. 5–15). New York: Teachers College Press.

  11. Jacobson, R. L. (1993). Mathematics educator’s big new challenge: Getting enough people to adopt their ideas.The Chronicle of Higher Education, March 3, pp. A15–A17.

  12. Kenney, P. A., & Silver, E. A. (1993). Student self-assessment in mathematics. In N. L. Webb (Eds.),Assessment in mathematics classroom (pp. 229–238). Reston, VA: National Council of Teachers of Mathematics.

  13. Lave, J., & Wenger, E. (1991).Situated learning: Legitimate peripheral participation. Cambridge: Cambridge University Press.

  14. Marwine, A. (1989). Reflections on the use of informal writing. In P. Connolly & T. Vilardi (Eds.),Writing to learn: Mathematics and science (pp. 56–69). New York: Teachers College Press.

  15. Mathematical Sciences Education Board. (1989).Everybody counts: A report on the future of mathematics education. Washington, DC: National Academy Press.

  16. National Council of Teachers of Mathematics. (1989).Curriculum and evaluation standards for school mathematics. Reston, VA: Author.

  17. Powell, A. B., & Ramnauth, M. (1992). Beyond questions and answers: Prompting reflections and deepening understanding of mathematics using mutliple-entry logs.For the Learning of Mathematics., 12, 12–18.

  18. Schon, D. A. (1983).The reflective practitioner: How the professionals think in action. New York: Basic Books.

  19. Schon, D. A. (1987).Educating the reflective practitioner: Toward a design for teaching and learning in the professions. San Francisco: Jossey-Bass.

  20. Schoenfeld, A. H. (1987). What’s all the fuss about metacognition. In A. H. Schoenfeld (Ed.),Cognitive science and mathematics education (pp. 189–216). Hillsdale, NJ: Lawrence Erlbaum Associates.

  21. Silver, E. A. (1985). Research on teaching mathematical problem solving: Some under-represented themes and needed directions. In E. A. Silver (Ed.).Teaching and learning mathematical problem solving: Multiple research perspectives (pp. 247–266). Hillsdale, NJ: Lawrence Erlbaum Associates.

  22. Thompson, A. (1992). Teacher’s beliefs and conceptions: A synthesis of the research. In D. A. Grouws (Ed.),Handbook of research on mathematics teaching and learning, (pp. 147–164). New York: Macmillan.

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Mukhopadhyay, S. Self-portrait: A tool for understanding the teaching of mathematics. Math Ed Res J 8, 101–118 (1996). https://doi.org/10.1007/BF03217292

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Keywords

  • Elementary School
  • Preservice Teacher
  • Mathematics Education
  • Mathematics Teacher
  • Reflective Practice