Abstract
This paper discusses a study of teacher researchers undertaking research into self-chosen aspects of their own mathematics teaching at the secondary level. The study used qualitative methods to explore the processes and practices of this research and the issues which it raised. Emergent theory of teachers' research activity fitted strongly with a view of action research relating to critical reflective practice. The teachers were seen as reflective practitioners, developing knowledge and awareness through enhanced metacognitive activity. Their research was characterised as evolutionary, in contrast with established patterns of action research. Despite differences in the substance of each teacher's research there were commonalities which provide insights into the conducting of research by teachers and its potential for the development of mathematics teaching. The special nature of mathematics in this research, and the role of external researchers in the project, were important considerations.
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References
Altricher, H., Posch, P. & Somekh, B. (1993). Teachers investigate their work: an introduction to the methods of action research. London: Routledge.
Atkinson, S. (1994). Rethinking the principles and practice of action research: The tensions for the teacher-researcher. Educational Action Research, 2(3), 383–399.
Association of Teachers of Mathematics (1987). Teacher is (as) researcher. UK: Derby.
Ball, S.J. (1990). Self doubt and soft data: Social and technical trajectories in ethnographic fieldwork. Qualitative Studies in Education, 3(2), 157–171.
Britt, M.S., Irwin, K.C., Ellis, J. & Ritchie, G. (1993). Teachers raising achievement in mathematics: Final report to the Ministry of Education. Auckland, NZ: Centre for Mathematics Education, Auckland College of Education.
Brown, S. & McIntyre, D. (1993). Making sense of teaching. Buckingham, UK: Open University Press.
Burgess, R.G. (1985). Strategies of educational research. London: Falmer Press.
Burton, L. (1996). The implications of a narrative approach to the learning of mathematics. Paper presented at the symposium Learning Mathematics from Hierarchies to Networks at the conference The Growing Mind, Geneva, Switzerland.
Calderhead, J. (1987). Exploring teachers' thinking. London: Cassell.
Cobb, P., Yackel, E. & Wood, T. (1992). Interaction and learning in mathematics classroom situations. Educational Studies in Mathematics, 23, 99–122.
Davis, R.B., Maher, C.A. & Noddings, N. (Eds.). (1990). Constructivist views on the learning and teaching of mathematics. Journal for research in mathematics education, monograph number 4. Reston, VA: National Council of Teachers of Mathematics.
Delamont, S. & Hamilton, D. (1984). Revisiting classroom research: A cautionary tale. In S. Delamont (Ed.), Readings on interaction in the classroom (3–24). London: Methuen.
Dewey, J. (1933). How we think. London: D.C. Heath and Co.
Edwards, J. (in press). Research into raising self-esteem in low attainers. Mathematics Teaching, 161.
Elbaz, F. (1987). Teachers' knowledge of teaching: Strategies for reflection. In J. Smyth (Ed.), Educating teachers. London: Falmer Press.
Elliott, J. (1991). Action research for educational change. Milton Keynes, UK: Open University Press.
Elliott, J. & Adelman, C. (1975). The language and logic of informal teaching. In The Ford teaching project, Unit 1, patterns of teaching. Norwich, UK: University of East Anglia, Centre for Applied Research in Education.
Eraut, M. (1995). Schön shock: A case for reframing reflection-in-action? Teachers and Teaching: Theory and Practice, 1(1), 9–22.
Glaser, B.G. & Strauss, A. L. (1967). The discovery of grounded theory. London: Weidenfeld and Nicolson.
Hall, J. (1997). Some investigations about mathematical talk. Mathematics Teaching, 159.
Hammersley, M. (1990). Classroom ethnography. Milton Keynes, UK: Open University Press.
Hardy, T., Hanley, U. & Brown, T. (1994). Inquiring into the mathematics classroom: Working with the noticings paradigm as a way of researching the mathematics classroom. In P. Gates (Ed.), Proceedings of the joint conference of the British Society for Research in Learning Mathematics [BSRLM] and the Association of Mathematics Education Teachers [AMET] (46–52). Northampton, UK.
Hargreaves, D. (1996). Teaching as a research-based profession: Possibilities and prospects. Teacher training agency annual lecture. London: Teacher Training Agency
Jaworski, B. (1994). Investigating mathematics teaching: A constructivist enquiry. London: Falmer Press.
Jaworski, B. (1996). A study of teacher enquiry into the processes of mathematics teaching. In L. Puig & A. Gutiérrez (Eds.), Proceedings of the 20th annual conference of the international group for the psychology of mathematics teaching, Vol. 3 (129–136). Valencia, Spain: Universitat de Valencia, Departament de Didáctica de la Matemática.
Jaworski, B. (in press). The centrality of the researcher: Rigour in a constructivist enquiry into mathematics teaching. In A. Teppo (Ed.), Qualitative research methods in mathematics education. JRME monograph. Reston, VA: NCTM.
Jaworski, B. & Lee, C. (1994, December). Studying the process of teacher research in the development of mathematics teaching. In P. Gates (Ed.), Proceedings of the day conference of the British Society for Research in Learning Mathematics (57–67). London: Institute of Education.
Kemmis, S. (1985). Action research and the politics of reflection. In D. Boud, R. Keogh & D. Walker (Eds.), Reflection: Turning experience into learning. London: Kogan Page.
Krainer, K. (1993). Understanding students' understanding: On the importance of co-operation between teachers and researchers. In P. Boero (Ed.), Proceedings of the 3 rd Bratislava international symposium on mathematical teacher education. Bratislava, Slovakia: Comenius University.
Mason, J. (1990). Reflections on dialogue between theory and practice, reconciled by awareness. In F Seeger & H. Steinbring (Eds.), Proceedings of the fourth conference on the systematic cooperation between theory and practice in mathematics education: Overcoming the broadcast metaphor (1–11). Institut für Didaktik der Mathematik der Universität Bielefeld, Germany: Universität Bielefeld/IDM.
McNiff, J. (1988). Action research: Principles and practice. London: Macmillan.
Nolder, R. & Tytherleigh, B. (1990). R2MC: A springboard to curriculum change. British Journal of Inservice Education, 16(1), 14–22.
Piaget, J. (1950). The psychology of intelligence. London: Routledge and Kegan Paul.
Pimm, D. (1987). Speaking mathematically. London: Routledge.
Povey, H. (1995).Ways of knowing of student and beginning mathematics teaching. Unpublished doctoral dissertation, University of Birmingham, UK.
Schön, D.A. (1983). The reflective practitioner. London: Temple Smith.
Schön, D.A. (1987). Educating the reflective practitioner. Oxford, UK: Jossey-Bass.
Sierpinska, A. (1994). Understanding in mathematics. London: Falmer Press.
Simon, M. (1995). Reconstructing mathematics pedagogy from a constructivist perspective. Journal for Research in Mathematics Education, 26, 114–145.
Skemp, R.R. (1976). Relational understanding and instrumental understanding. Mathematics Teaching, 77.
Slavin, R.E. (1983). Cooperative learning. New York: Longman.
Slavin, R.E. (1989). Cooperative learning: Theory, research and practice. Englewood Cliffs, NJ: Prentice Hall.
Steffe, L.P. & D'Ambrosio, B. (1995). Towards a working model of constructivist teaching. Journal for Research in Mathematics Education, 26, 146–159.
Stenhouse, L. (1984). Evaluating curriculum evaluation. In C. Adelman (Ed.), The politics and ethics of evaluation. London: Croom Helm.
von Glasersfeld, E. (1995). Radical constructivism: A way of knowing and learning. London: The Falmer Press.
Vulliamy, G. & Webb, R. (1992). The influence of teacher research: Process or product? Educational Review, 44(1), 41–58.
Wood, T. (1997). Maintaining a context for argumentation: The challenge of teaching. Paper presented at the annual meeting of the American Educational Research Association, Chicago.
Zack, V., Mousely, J. & Breen, C. (Eds.) (1997). Developing practice: Teachers' inquiry and educational change in classrooms. Geelong, Australia: Centre for Studies in Mathematics, Science and Environmental Education, Deakin University. ?? ??
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Jaworski, B. Mathematics Teacher Research: Process, Practice and the Development of Teaching. Journal of Mathematics Teacher Education 1, 3–31 (1998). https://doi.org/10.1023/A:1009903013682
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DOI: https://doi.org/10.1023/A:1009903013682