Identities-in-action – exploring the fragility of discourse and identity in learning mathematics
DOI:
https://doi.org/10.7146/nomad.v14i3.148209Abstract
The notion of identity is often used in mathematics education research in an attempt to link individual and social understandings of mathematical learning. In this paper we review existing research making use of the notion of identity, and we point to some of the strengths and weaknesses in the ways the notion of identity is being constructed. We propose a conceptualization of the notion which points to the fragility and instability of identification processes as embedded into discourse. We contend that a notion of identity formulated from a poststructuralist perspective and emphasising the dialectic relationship between identification and discourse offers interesting possibilities for interpretations of mathematical learning as a fragile process characterised more by discontinuities and disruptions than by continuity and stability. We further argue that a poststructuralist notion of fragile identities in action allows us to bring attention to what is normally considered as ”noise” or ”impossibilities” in our understandings of mathematics education and classroom interaction.
References
Abreu, G. de (2006). Cultural identities in the multiethnic mathematical classroom. In M. Bosch (Ed.), Proceedings of CERME 4. The fourth Conference of the European society for Research in Mathematics Education (pp. 1131-1140). Barcelona: FUNDEMI IQS - Universitat Ramon Llull.
Abreu, G. de, Bishop, A. J. & Presmeg, N. C. (Eds.). (2002). Transitions between contexts of mathematical practices. Dordrecht: Kluwer. https://doi.org/10.1007/0-306-47674-6
Adler, J. (2001). Teaching mathematics in multilingual classrooms. Dordrecht: Kluwer.
Alrø, H., Skovsmose, O. & Valero, P. (2003). Communication, conflict and mathematics education in the multicultural classroom. In M. A. Mariotti (Ed.), Proceedings of CERME 3. The third Conference of the European society for Research in Mathematics Education. Pisa University. Retrieved June 17, 2009 from http://www.dm.unipi.it/~didattica/CERME3/proceedings/Groups/TG10/ TG10_Alro_cerme3.pdf
Antaki, C. & Widdicombe, S. (Eds.). (1998). Identities in talk. London: Sage.
Appelbaum, P. (2002). Multicultural and diversity education: a reference handbook. Santa Barbara: ABC CLIO Inc. https://doi.org/10.5040/9798400688157
Bauman, Z. (1996). From pilgrim to tourist - or a short history of identity. In S. Hall & P. Du Gay (Eds.), Questions of cultural identity (pp. 18-36). London: Sage. https://doi.org/10.4135/9781446221907.n2
Bauman, Z. (2004). Identity: conversations with Benedetto Vecchi. Cambridge: Polity Press.
Benwell, B. & Stokoe, E. (2006). Discourse and identity. Edinburgh University Press. https://doi.org/10.1515/9780748626533
Black, L., Mendick, H. & Solomon, Y. (Eds.). (2009). Mathematical relationships in education: identities and participation. New York: Routledge.
Boaler, J. (1998). Nineties girls challenge eighties stereotypes: updating gender perspectives. In C. Keitel (Ed.), Social justice and mathematics education: gender, class, ethnicity and the politics of schooling (pp. 278-293). Berlin: Freie Universität.
Boaler, J. & Greeno, J. G. (2000). Identity, agency and knowing in mathematics worlds. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 171-200). London: Ablex Publishing. https://doi.org/10.5040/9798400688362.0011
Boaler, J., William, D. & Zevenbergen, R. (2000). The construction of identity in secondary mathematics education. In J.-F. Matos & E. Fernandes (Eds.), Investigação em educação matemática: perspectivas e problemas (pp. 192-202). Universidade de Madeira: Associação de Professores de Matemática.
Braathe, H. J. (2008). Identity and genre literacy in student teachers' mathematical texts. In C. Winsløw (Ed.), Nordic research in mathematics education: proceedings from NORMA08 (pp. 185-193). Rotterdam: Sense. https://doi.org/10.1163/9789087907839_026
Brown, T., Jones, L. & Bibby, T. (2004). Identifying with mathematics in initial teacher training. In M. Walshaw (Ed.), Mathematics education within the postmodern (pp. 161-179). Greenwich: Information Age Publishing.
Brown, T. & McNamara, O. (2005). New teacher identity and regulative government: the discursive formation of primary mathematics teacher education. New York: Springer. https://doi.org/10.1007/b104107
Clarkson, P. (2007). Australian vietnamese students learning mathematics: high ability bilinguals and their use of their languages. Educational Studies in Mathematics, 64 (2), 191-215. https://doi.org/10.1007/s10649-006-4696-5
Cobb, P. & Hodge, L. L. (2002). A relational perspective on issues of cultural diversity and equity as they play out in the mathematics classroom. Mathematical Thinking and Learning, 4 (2 & 3), 249-284. https://doi.org/10.1207/S15327833MTL04023_7
Dallmayr, F. (1997). The politics of nonidentity. Political Theory, 25 (1), 33-56. https://doi.org/10.1177/0090591797025001003
Elbers, E. & Haan, M. de (2005). The construction of word meaning in a multicultural classroom. Mediational tools in peer collaboration during mathematics lessons. European Journal of Psychology of Education, 20 (1), 45-59. https://doi.org/10.1007/BF03173210
Freitas, E. de (2008). Enacting identity through narrative: interrupting the procedural discourse in mathematics classrooms. In J.-F. Matos, P. Valero & K. Yasukawa (Eds.), Proceedings of the fifth international mathematics education and society conference (pp. 272-282). Centro de Investigação em Educação Universidade de Lisboa and Department of Education, Learning and Philosophy, Aalborg. https://doi.org/10.1163/9789087905583_008
Gee, J. P. (2005). An introduction to discourse analysis: theory and method. New York: Routledge.
Gorgorió, N. & Planas, N. (2005). Cultural distance and identities-in- construction within the multicultural mathematics classroom. Zentrallblat für Didaktik der Mathematik, 37 (2), 64-71. https://doi.org/10.1007/BF02655715
Gorgorió, N. & Prat, M. (in press). Jeopardizing learning opportunities in multicultural mathematics classrooms. In M. César & K. Kumpulainen (Eds.), Social interactions in multicultural settings. Rotterdam: Sense.
Hall, S. (1996). Introduction: Who needs 'identity'? In S. Hall (Ed.), Questions of cultural identity (pp. 1-17). London: Sage. https://doi.org/10.4135/9781446221907.n1
Halsey, A. H., Lauder, H., Brown, P. & Wells, A. S. (Eds.). (1997). Education - culture, economy, and society. Oxford University Press.
Hardy, T. (2008). Subjectivity and confidence in mathematics education. Paper presented at the Symposium on the Occasion of the 100th Anniversary of ICMI, 5-8 March 2008. Rome. Retrived June 17, 2009 from http://www. unige.ch/math/EnsMath/Rome2008/WG3/Papers/HARDY.pdf
Hofstede, G. (1986). Cultural differences in teaching and learning. International Journal of Intercultural Relations, 10 (3), 301-320. https://doi.org/10.1016/0147-1767(86)90015-5
Holland, D., Lachicotte Jr., W., Skinner, D. & Cain, C. (1998). Identity and agency in cultural worlds. Cambridge: Harvard University Press.
Laclau, E. (2005). On populist reason. London: Verso.
Lareau, A. (1997). Social-class differences in family-school relationships: the importance of cultural capital. In A. H. Halsey, H. Lauder, P. Brown & A. S. Wells (Eds.), Education - culture, economy and society (pp. 703-717). Oxford University Press.
Lange, T. (2008). Homework and minority students in difficulty with learning mathematics: the influence of public discourse. Nordic Studies in Mathematics Education, 13 (4), 51-68.
Lave, J. & Wenger, E. (1991). Situated learning: legitimate peripheral participation. Cambridge University Press. https://doi.org/10.1017/CBO9780511815355
Lerman, S. (Ed.). (1994). Cultural perspectives on the mathematics classroom. Dordrecht: Kluwer. https://doi.org/10.1007/978-94-017-1199-9
Lerman, S. (2000). The social turn in mathematics education research. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 19-44). Westport: Ablex. https://doi.org/10.5040/9798400688362.0005
Lerman, S. (2006). Cultural psychology, anthropology and sociology: the developing 'strong' social turn. In J. Maasz & W. Schloeglmann (Eds.), New mathematics education research and practice (pp. 171-188). Rotterdam: Sense. https://doi.org/10.1163/9789087903510_016
Macmillan, A. (2004). Facilitating access and agency within the discourses and culture of beginning school. In M. Walshaw (Ed.), Mathematics education within the postmodern (pp. 77-101). Greenwich: Information Age Publishing.
Mendick, H., Moreau, M.-P. & Epstein, D. (2009). Special cases. Neoliberalism, choice, and mathematics. In L. Black, H. Mendick & Y. Solomon (Eds.), Mathematical relationships in education: identities and participation (pp. 71-82). New York: Routledge, Taylor and Francis.
Moore. (2004). Education and society: issues and explanations in the sociology of education. Oxford: Polity Press.
Nolan, K. & Freitas, E. de (2008). Foreword to the research text: mathematics education under cross-examination. In E. de Freitas & K. Nolan (Eds.), Opening the research text: critical insights and in(ter)ventions into mathematics education (pp. 1-11). New York: Springer. https://doi.org/10.1007/978-0-387-75464-2_1
Rogoff, B. (1991). Apprenticeship in thinking: cognitive development in social context. Oxford University Press. https://doi.org/10.1093/oso/9780195059731.001.0001
Sfard, A. (2008). Thinking as communicating: human development, the growth of discourses, and mathematizing. New York: Cambridge University Press. https://doi.org/10.1017/CBO9780511499944
Sfard, A. & Prusak, A. (2005). Telling identities: in search of an analytic tool for investigating learning as a culturally shaped activity. Educational Researcher, 34 (4), 14-22. https://doi.org/10.3102/0013189X034004014
Skovsmose, O. (2005a). Foreground and politics of learning obstacles. For the Learning of Mathematics, 25 (1), 4-10.
Skovsmose, O. (2005b). Travelling through education: uncertainty, mathematics, responsibility. Rotterdam: Sense. https://doi.org/10.1163/9789087903626
Skovsmose, O., Alrø, H. & Valero, P. (2005). Kommunikation, konflikt og matematiklæring i det multikulturelle klasseværelse (del 1 + 2). Institut for Læring og Institut for Kommunikation, Aalborg Universitet.
Swanson, D. M. (2005). School mathematics: discourse and the politics of context. In A. Chronaki & I. M. Christiansen (Eds.), Challenging perspectives on mathematics classroom communication (pp. 261-294). Greenwich: Information Age Publishing.
Turner, J. C., Hogg, M. A., Oakes, P. J., Reicher, S. D. & Wetherell, M. S. (1987). Rediscovering the social group: a self categorization theory. Oxford: Basil Blackwell.
Valero, P. (2004). Postmodernism as an attitude of critique to dominant mathematics education research. In M. Walshaw (Ed.), Mathematics education within the postmodern (pp. 35-54). Greenwich: Information Age Publishing.
Valero, P. (2007). A socio-political look at equity in the school organization of mathematics education. Zentralblatt für Didaktik der Mathematik, 39 (3), 225-233. https://doi.org/10.1007/s11858-007-0027-2
Walls, F. (2008). 'down in the dark zone': teacher identity and cumpulsory standardised mathematics assessment. In J.-F. Matos, P. Valero & K. Yasukawa (Eds.), Proceedings of the fifth international mathematics education and society conference (pp. 485-495). Centro de Investigação em Educação Universidade de Lisboa and Department of Education, Learning and Philosophy, Aalborg.
Wenger, E. (1998). Communities of practices: learning, meaning, and identity. Cambridge University. https://doi.org/10.1017/CBO9780511803932
William, D., Bartholomew, H. & Reay, D. (2004). Assessment, learning and identity. In P. Valero & R. Zevenbergen (Eds.), Researching the socio-political dimensions of mathematics education (pp. 43-61). Dordrecht: Kluwer. https://doi.org/10.1007/1-4020-7914-1_5
Williams, J., Black, L., Hernandez-Martinez, P., Davis, P., Hutcheson, G. et al. (2007). Storying mathematical identities with cultural models. In D. Pitta-Pantazi & G. Philippou (Eds.), Proceedings of the fifth Conference of the European society for Research in Mathematics Education. Nicosia: Department of Education, University of Cyprus.
Zirkel, S. (2008). The influence of multicultural educational practices on student outcomes and intergroup relations. Teachers College Record, 110 (6). https://doi.org/10.1177/016146810811000605
Zoest, L. van & Bohl, J. V. (2005). Mathematics teacher identity: a framework for understanding secondary school mathematics teachers' learning through practice. Teacher Development, 9 (3), 315-345. https://doi.org/10.1080/13664530500200271
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