Abstract
In 1996, Stephen Lerman wrote a paper entitled Intersubjectivity in Mathematics Learning: A Challenge to the Radical Constructivist Paradigm? In this paper he presented two views of “intersubjectivity”, one a sociocultural view, rooted in the work of Vygotsky and the other a radical constructivist view, with particular reference to the work of Ernst von Glasersfeld and Les Steffe. He was very critical of the latter view. I found this paper and subsequent papers and arguments from Steffe and from Steve, hugely interesting and influential on my own work. In this chapter, I take up the two perspectives of intersubjectivity and, through a number of examples, try to show how interactions and associated meanings could be addressed using each perspective as a lens. For me it is important that the perspectives do not point to what “is” but rather offer a way of interpreting what is seen; offering a conjecture relating to the social factors and cultures that influence what we observe. One conclusion is that, though the theories are not interchangeable and their approaches to conceptualising knowledge construction are incommensurable, they say nothing about what is right or wrong. As researchers we have to be extremely transparent in our use of theory, justifying arguments and interpretations rigorously in relation to the perspective we take.
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References
Abdulwahed, M., Jaworski, B., & Crawford, A. R. (2012). Innovative approaches to teaching mathematics in higher education: A review and critique. Nordic Studies in Mathematics Education, 17(2), 49–68.
Cobb, P., Yackel, E., & Wood, T. (1993). Theoretical orientation. In T. Wood et al. (Eds.), Rethinking elementary school mathematics: Insight and issues (JRME monograph, no. 6, pp. 21–32). Reston: National Council of Teachers of Mathematics.
Confrey, J. (1995). How compatible radical constructivism, sociocultural approaches, and social constructivism? In L. P. Steffe & J. Gale (Eds.), Constructivism in education (pp. 185–225). Hillsdale: Lawrence Erlbaum.
Holland, D., Lachicotte, W., Skinner, D., & Cain, C. (1998). Identity and agency in cultural worlds. Cambridge: Harvard University Press.
Jaworski, B. (1991). Interpretations of a constructivist philosophy in mathematics teaching. Unpublished PhD thesis, The Open University, Milton Keynes.
Jaworski, B. (1994). Investigating mathematics teaching: A constructivist enquiry. London: Falmer Press.
Jaworski, B., & Potari, D. (2009). Bridging the macro-micro divide: Using an activity theory model to capture complexity in mathematics teaching and its development. Educational Studies in Mathematics, 72, 219–236.
Lerman, S. (1989). Constructivism, mathematic and mathematics education. Educational Studies in Mathematics, 20, 211–233.
Lerman, S. (1996). Intersubjectivity in mathematics learning: A challenge to the radical constructivist paradigm? Journal for Research in Mathematics Education, 27(2), 133–150.
Lerman, S. (1998). A moment in the zoom of a lens: Towards a discursive psychology of mathematics teaching and learning. In A. Olivier & K. Newstead (Eds.), Proceedings of the 22nd conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 66–81). Stellenbosch: University of Stellenbosch.
Lerman, S. (2000). A case of interpretations of social: A response to Steffe and Thompson. Journal for Research in Mathematics Education, 31(2), 210–227.
Potari, D., & Jaworski, B. (2002). Tackling complexity in mathematics teacher development: Using the teaching triad as a tool for reflection and enquiry. Journal of Mathematics Teacher Education, 5(4), 351–380.
Redmond, J. (1992). Are 4–7 year-old children influenced by discursive practices when asked to make comparisons using quantities? Unpublished manuscript, South Bank University, London.
Steffe, L. P. (1999). Intersubjectivity in mathematics learning: A challenge to the radical constructivist paradigm. A reply to Lerman. Chreods, 13, 1–16.
Steffe, L. P., & Thompson, P. (2000). Interaction or intersubjectivity? A reply to Lerman. Journal for Research in Mathematics Education, 31(2), 191–209.
Von Glasersfeld, E. (1987). Constructivism. In T. Husen & N. Postlethwaite (Eds.), International encyclopedia of education (Supplement, Vol. 1). Oxford: Pergamon.
Von Glasersfeld, E. (1990). An exposition of constructivism: Why some like it radical. Journal for Research in Mathematics Education. Monograph, Vol. 4, Constructivist views on the teaching and learning of mathematics, pp. 19–29 and 195–210.
Vygotsky, L. (1978). Mind in society: The development of the higher psychological processes. London: Harvard University Press.
Wertsch, J. V. (1991). Voices of the mind. Cambridge, MA: Harvard University Press.
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Jaworski, B. (2015). Intersubjectivity in Mathematics Teaching: Meaning-Making from Constructivist and/or Sociocultural Perspectives?. In: Gates, P., Jorgensen (Zevenbergen), R. (eds) Shifts in the Field of Mathematics Education. Springer, Singapore. https://doi.org/10.1007/978-981-287-179-4_12
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