Abstract
This chapter looks at intentional teaching in detail, drawing out significant distinctions in whole-class interaction sequences which may, at first glance, look similar. Such episodes are sometimes analysed only according to the amount of participation, or the patterns of participation, rather than the mathematical qualities of participation. We find the notions of affordance, constraint and attunement helpful in looking at classroom interaction in terms of how mathematical activity is structured in such interactive sequences. These ideas allow differences in mathematical learning to be understood within a situated perspective by asking ‘what are the specific mathematical practices engendered in this lesson?’ As well as offering a powerful frame for ‘getting inside’ interactive sequences, this approach gives insight into how learners’ mathematical identity might develop in subtly different contexts.
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References
Adler, J. (1998). Lights and limits: Recontextualising Lave and Wenger to theorise knowledge of teaching and of learning school mathematics. In A. Watson (Ed.), Situated cognition and the learning of mathematics (pp. 161-177). Oxford: Centre for Mathematics Education Research, University of Oxford Department of Educational Studies.
Bereiter, C. (1997). Situated cognition and how to overcome it. In D. Kirshner & J. A. Whitson (Eds.), Situated cognition: Social, semiotic, and psychological perspectives (pp. 281-300). Hillsdale, NJ: Lawrence Erlbaum Associates.
Boaler, J. (2002). The development of disciplinary relationships: Knowledge, practice and identity in mathematics classrooms. For the Learning of Mathematics, 22(1), 42-47.
David, M. M., Lopes, M. P., & Watson, A. (2005). Diferentes formas de participação dos alunos em diferentes práticas de sala de aula de matemática. In Anais do V CIBEM -Congresso Ibero-Americano de Educação Matemática, (pp. 1-13). Porto/Portugal (CD ROM).
Engestrom, Y., & Cole, M. (1997). Situated cognition in search of an agenda. In D. Kirshner & J. A. Whitson (Eds.), Situated cognition: Social, semiotic, and psychological perspectives (pp. 301-309). Mahwah, NJ: Lawrence Erlbaum Associates.
Greeno, J. (1994). ‘gibson’s affordances’. Psychological Review, 101(2), 336-342.
Greeno, J., & MAPP. (1998). The situativity of knowing, learning and research. American Psychologist, 53(1), 5-26.
Houssart, J. (2001). Rival classroom discourses and inquiry mathematics: ‘the whisperers’. For the Learning of Mathematics, 3(21), 2-8.
Hoyles, C. (2001). From describing to designing mathematical activity: The next step in developing a social approach to research in mathematics education. Educational Studies in Mathematics, 46(1-3), 273-286.
Lave, J. (1993). Situating learning in communities of practice. In L. B. Resnick, J. M. Levine & S. D. Teasley (Eds.), Perspectives on socially shared cognition (pp.17-36). Washington, DC: American Psychological Association.
Lave, J. (1996). Teaching, as learning, in practice. Mind, Culture, and Activity, 3(3), 149-164.
Nunes, T., Dias, A., & Carraher, D. (1993). Street mathematics and school mathematics. Cambridge: Cambridge University Press.
Rogoff, B. (1995). Observing sociocultural activity on three planes: Participatory appropriation, guided participation, and apprenticeship. In J. Wertsch, P. d. Rio & A. Alvarez (Eds.), Sociocultural studies of mind (pp.139-164). Cambridge: Cambridge University Press.
Saxe, G. B. (1999). Cognition, development, and cultural practices. In E. Turiel (Ed.), Culture and Development: New Directions in Child Psychology. SF: Jossey-Bass.
St. Julien, J. (1997). Explaining learning: The research trajectory of situated cognition and the implications of connectionism. In D. Kirschner & J. Whitson (Eds.), Situated cognition: Social, semiotic and psychological perspectives (pp. 261-279). Hillsdale, NJ: Lawrence Erlbaum Associates.
Watson, A. (Ed.). (1998). Situated cognition and the learning of mathematics. Oxford: Centre for Mathematics Education Research, University of Oxford Department of Educational Studies.
Wenger, E. (1998). Communities of practice: Learning, meaning, and identity. Cambridge: Cambridge University Press.
Winbourne, P., & Watson, A. (1998). Participation in learning mathematics through shared local practices. In A. Olivier & K. Newstead (Eds.), Proceedings of the 22nd International Group for the Psychology of Mathematics Education (Vol. 4, pp. 177-184). Stellenbosch, SA: University of Stellenbosch.
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David, M., Watson, A. (2008). Participating In What? Using Situated Cognition Theory To Illuminate Differences In Classroom Practices. In: Watson, A., Winbourne, P. (eds) New Directions for Situated Cognition in Mathematics Education. Mathematics Education Library, vol 45. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-71579-7_3
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DOI: https://doi.org/10.1007/978-0-387-71579-7_3
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