Abstract
This paper presents an exploration of conversation in a single episode of whole-class work in a Year 12,all girls' Calculus class. The analysis is cast in terms of Habermasian communicative competence, which requires students to evidence critical thinking and the ability to express their views. Favourable learning outcomes in the class are explained by the teacher's mode of questioning, cooperative endeavour by students, the instructional sequence and use of technologies including the graphics calculator. The circumstances of problematic outcomes are also identified.
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REFERENCES
Belenky, M.F., Clinchy, B.M., Goldberger, N.R. and Tarule, J.M.: 1986, Women's Ways of Knowing, Basic Books, New York, NY.
Brickhouse, N.W.: 1993, Evolving Conceptions of Ethical Practice in Interpretative Research, keynote address at the 1993 International Conference on Interpretative Research in Science Education. National Taiwan University.
Cobb, P.: 1998, ‘Analyzing the mathematical learning of the classroom community: The case of statistical data analysis’, in A. Oliver and K. Newstead (eds.), Proceedings of the 22nd Conference of the International Group for the Psychology of Mathematics Education, Vol 1, South Africa, pp. 33-48.
Cobb, P., Boufi, A., McClain, K. and Whitenack, J.: 1997, ‘Reflective discourse and collective reflection’, Journal of Research into Mathematics Education28(3), 258-277.
Cobb, P., Wood, T., Yackel, E. and McNeal, B.: 1992, ‘Characteristics of classroom mathematics traditions: An interactional analysis’, American Educational Research Journal29(3), 573-604.
Cohen, L. and Manion, L.: 1994, Research Methods in Education(4th ed.), Routlege, London.
Fairclough, N.: 1992, Discourse and Social Change, Polity Press, Cambridge, UK.
Forster, P.A.: 2000, ‘Katie thought she couldn't do it but now she knows she can’, Educational Studies in Mathematics43(3), 225-242.
Forster, P. and Taylor, P.: 2000, ‘Emergence of mathematical (in)competence and identity’, in J. Bana and A. Chapman (eds.), Mathematics Education beyond 2000: Proceedings of the 23rd annual conference of the Mathematics Education Research Group of Australia, Perth, Australia, pp. 65-71.
Forster, P., Taylor, P. and Davis, C.: 2002a, ‘“One hundred and sixty geckos and one without a tail”: Wit and student empowerment when class discussion is centred on the display from a student's graphics calculator’, Australian Senior Mathematics Journal16(1), 56-64.
Forster, P., Taylor, P. and Davis, C.: 2002b, ‘The sherpa-student role with a graphics calculator: Empowering or disempowering?’, in B. Barton, K.C. Irwin, M. Pfannkuch and M.O.J. Thomas (eds.), Mathematics Education in the South Pacific, Proceedings of the 25rd annual conference of the Mathematics Education Research Group of Australasia, Auckland, New Zealand, pp. 276-284.
Gumperz, J.J.: 1995, ‘Mutual inferencing in conversation’, in I. Markova, C. Graumann, and K. Foppa (eds.), Mutualities in Dialogue, Cambridge University, Cambridge, pp. 101-123.
Hershowitz, R., Schwarz, B.B. and Dreyfus, T.: 2001, ‘Abstraction in context: Epistemic actions’, Journal for Research in Mathematics Education32(2), 195-222.
Mehan, H.: 1979, Learning Lessons: Social Organization in the Classroom, Harvard University Press, Cambridge, MA.
Roth, W.-M.: 1998, Designing Communities, Kluwer Academic, Dordrecht, The Netherlands.
Sfard, A.: 2000, ‘Steering (dis)course between metaphors and rigor: Using focal analysis to investigate an emergence of mathematical objects’, Journal for Research inMathematics Education31(3), 296-327.
Taylor, P.C.: 1996, ‘Mythmaking and mythbreaking in the mathematics classroom’, Educational Studies in Mathematics31, 151-173.
Taylor, P.C.: 1998, ‘Constructivism: Value added’, in B. Fraser and K. Tobin (eds.), The International Book of Science Education, Kluwer Academic, Dordrecht, pp. 1111-1123.
Watson, A. and Mason, J.: 1998, Questions and Prompts for Mathematical Thinking, Association of Teacher of Mathematics, Derby, UK.
Young, R.: 1990, A Critical Theory of Education: Habermas and our Children's Future, Teachers College, New York, NY.
Young, R.: 1992, Critical Theory and Classroom Talk, Multilingual Matters, Adelaide, South Australia.
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Forster, P.A., Taylor, P.C. An investigation of communicative competence in an upper-secondary class where using graphics calculators was routine. Educational Studies in Mathematics 52, 57–77 (2003). https://doi.org/10.1023/A:1023676010819
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DOI: https://doi.org/10.1023/A:1023676010819