Abstract
Compared to studies in general education, authority has received little attention in mathematics education, despite an increasing interest in sociological perspectives in mathematics classroom research. The subject of authority is particularly important in mathematics education, on the one hand, because of the immense authority mathematics itself seems to possess and pass on to its practitioners, but also, on the other hand, because of the anti-authoritarianism present, to some degree, in many trends in mathematics education such as cooperative learning approaches and constructivist pedagogies. Such an anti-authoritarian stance appears justified by data from an 8th grade mathematics classroom (supplemented with data from a second 8th grade classroom) which suggest that teachers possess immense authority in the eyes of the students and that this and other authority relations are strongly evident in the students’ non-reflective ways of interacting not only with their teachers but also among themselves. However, theoretical considerations on authority show that the problem may not be authority per se but the way one conceives the notion of authority, that there exist kinds of authority, such as Benne’s ‘anthropogogical’ authority, which can encourage reflective and also fruitful collaborative work.
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Amit, M. and Fried, N.F. 2002, ‘Authority in the mathematics classroom and its influence on students,’ Ability to Reflect. in A.D. Cockburn and E. Nardi (eds.), PME26: Proceedings of the 26th Annual Conference 2, pp. 41–48. Norwich, UK: University of East Anglia.
Benne, K.D. 1970, ‘Authority in education’, Harvard Educational Review 40, 385–410.
Boaler, J. 2003, ‘Studying and capturing the complexity of practice – the case of the, ‘dance of agency’, in N.A. Pateman, B.J. Dougherty and T.Z. Joseph (eds.), Proceedings of the 27th Annual Conference of PME27 and PME-NA25, Vol. 1, pp. 3–16, Honolulu, Hawaii: CRDG, College of Education.
Clarke, D. 1998, ‘The classroom learning project: its aims and methodology’. Paper presented as part of the symposium, “Perspectives on meaning in mathematics and science classrooms”, at the Conference of the Australian Association for Research in Education, November 30, 1998. Available at the web site: http://www.aare.edu.au/98pap/cla98053.htm
Clarke, D. 2000, Learners’ Perspective Study: Research Design, Available at the website: http://extranet.edfac.unimelb.au/DSME/lps/assets/lps.pdf
Clarke, D. 2001, Perspectives on Practice and Meaning in Mathematics and Science Classroom, Kluwer Academic Publishers, Dordrecht.
Cobb, P. and Bauersfeld, H. 1995, The Emergence of Mathematical Meaning, Hillsdale, Lawrence Erlbaum, New Jersey.
Dowling, P. 1998, ‘Why the Sociology of Mathematics Education? Activity, Strategy and Dialogue’, Plenary given at Mathematics Education and Society: An International Conference, September 6–11, 1998, University of Nottingham. Also available at the web site: http://www.nottingham.ac.uk/csme/meas/plenaries/dowling.html
Edwards, D. and Mercer, N. 1987, Common Knowledge: The Development of Understanding in the Classroom. Methuen, London.
Eisenhart, M.A. (1988), The ethnographic research tradition and mathematics education research’, Journal for Research in Mathematics Education 16, 99–114.
Ernest, P. 1991, The Philosophy of Mathematics Education, London: The Falmer Press.
French, J.R.P. and Raven B. 1959, ‘The bases of social power’, in Cartwright’, D. (ed.), Studies in Social Power. Ann Arbor, Michigan: The University of Michigan, pp. 150-167.
Foucault, M. 1980, Power/Knowledge: Selected Interviews and Other Writings 1972–1977, Gordon C. (ed.), C. Gordon, L. Marshall, J. Mepham, K. Soper (Trans.), Pantheon Books, New York.
Fried, M.N.F. and Amit, M. 2003, ‘Some reflections on mathematics classroom notebooks and their relationship to the public and private nature of student practices’, Educational Studies in Mathematics 53, 91–112.
Ginsburg, H.P. 1997, Entering the Child’s Mind: The Cognitive Clinical Interview in Psychological Research and Practice, Cambridge University Press, New York.
Helme, S. and Clarke, D. 2001, ‘Cognitive engagement in the mathematics classroom’, in D. Clarke (ed.), Perspectives on Practice and Meaning in Mathematics and Science Classrooms. Kluwer Academic Publishers, Dordrecht, pp. 131–154.
Hersh, R. 1998, What is Mathematics Really? Vintage, London.
Johnson, D.W. and Johnson, R.T. 1989, ‘Cooperative learning in mathematics education’, in P.R. Trafton and A.P. Shulte (eds.), New Directions for Elementary School Mathematics, NCTM, pp. 234–245.
Keitel, C. and Kilpatrick, J. 1999, ‘The rationality and irrationality of international comparative studies’, in G. Kaiser, E. Luna and I. Huntley (eds.), International Comparisons in Mathematics Education, The Falmer Press, London, pp. 241–256.
Lave, J. and Wenger E. 1991, Situated Learning: Legitimate Peripheral Participation, Cambridge University Press, Cambridge.
Levin, J. and Shanken-Kaye, J.M. 1996, The Self-Control Classroom, Dubuque, Kendall/Hunt Publishing Company, Iowa.
Leonard K. 1973, ‘Authority’, in Philip P. Wiener (ed.), Dictionary of the History of Ideas, Charles Scribner’s Sons, New York, I, pp. 141–162.
Lerman, S. 2000, ‘The social turn in mathematics education research’, in J. Boaler (ed.), Multiple Perspectives on Mathematics Teaching and Learning, Ablex Publishing, Westport, CT, pp. 19–44.
Lewis-Shaw, C. 2001, ‘Measuring values in classroom teaching and learning’, in D. Clarke (ed), Perspectives on Practice and Meaning in Mathematics and Science Classrooms, Kluwer Academic Publishers, Dordrecht, pp. 155–196.
Mellin-Olsen, S. 1987, The Politics of Mathematics Education, D. Reidel Publishing Company, Dordrecht.
Oyler, C. 1996, Making Room for Students: Sharing Teacher Authority in Room 104, Teachers College Press, New York.
Simon, M.A. 2000, ‘Reconsidering mathematical validation in the classroom’, in T. Nakahara and M. Koyama (eds.), Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education, Vol.4, pp. 161–168.
Stigler, J.W. and Hiebert, J. 1998, ‘Teaching is a cultural activity’ American Educator, Winter Issue, 4–6.
Stigler, J.W. and Hiebert, J. 1999, The Teaching Gap, Free Press, New York.
Stigler, J.W. and Hiebert, J. 1997, ‘Understanding and improving classroom mathematics instruction: an overview of the TIMSS video study’, Phi Delta Kappan 79(1) 14–21.
Vithal, R. 1999, ‘Democracy and authority: a complementarity in mathematics education?’ Zentralblatt für Didaktik der Mathematik, 31(1), pp. 27–36.
Weber, M. 1947, The Theory of Social and Economic Organization, Henderson, A.R. and Parsons, T. (Trans.), William Hodge ad Company Limited, London.
Waters, M. 1989, Collegiality, bureaucratization and professionalization: a weberian analysis. American Journal of Sociology, 94, 945–972.
Waller, W.W. 1932, The Sociology of Teaching, Russell and Russell New York.
Wolfe, D.M.: 1959, ‘Power and authority in the family’, in D. Cartwright (ed.), Studies in Social Power. The University of Michigan Press, Ann Arbor, Michigan, pp. 99 –117.
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Amit, M., Fried, M.N. Authority and Authority Relations in Mathematics Education: A View from an 8th Grade Classroom. Educ Stud Math 58, 145–168 (2005). https://doi.org/10.1007/s10649-005-3618-2
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DOI: https://doi.org/10.1007/s10649-005-3618-2