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Intercorporeality and ethical commitment: an activity perspective on classroom interaction

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Abstract

In this article, we present a sociocultural alternative to contemporary constructivist conceptions of classroom interaction. Drawing on the work of Vygotsky and Leont’ev, we introduce an approach that offers a new perspective through which to understand the specifically human forms of knowing that emerge when people engage in joint activity. To this end, we present two concepts: space of joint action and togethering. The space of joint action allows us to capture the collective and sensuous or intercorporeal dimensions of thought and feeling in interaction. We resort to the concept of togethering to capture the ethical commitment participants make to engage in and produce activity. These concepts are illustrated through a discussion of concrete episodes from an elementary mathematics classroom.

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Notes

  1. This is so because the material/intentional object (designated in Russian by predmet in Leont’ev’s works) is distinct from objekt, which refers to material objects. Leont’ev grounds his work in Marx, whose German makes the same distinction between the nouns Gegenstand and Objekt, respectively. Predmet and Gegenstand have both material and ideal dimensions.

  2. The recent need to come up with non-individualistic conceptions of interaction has led several researchers to conceptualize the space of interaction in different ways. See, e.g., the theory of joint action (Ligozat & Schubauer-Leoni 2010) and the cognitive space of action, production and communication (Arzarello, 2006).

  3. These ideas can also be expressed as a difference in activity. But while individualist student-centered approaches locate this difference in the realm of beings, activity perspectives locate it in the division of labor that underpins joint activity and the manner in which the object of activity becomes refracted.

References

  • Arzarello, F. (2006). Mathematical landscapes and their inhabitants: Perceptions, languages, theories. In M. Niss (Ed.), Proceedings of the 10th international congress on mathematical education. Copenhagen, Denmark. July 4–11, 2004 (pp. 158–181). Denmark: Roskilde University.

    Google Scholar 

  • Bakhtin, M. (1984). Problems of Dostoevsky’s poetics. Minneapolis: University of Minnesota Press.

    Google Scholar 

  • Bartolini Bussi, M. G. (1998). Verbal interaction in the mathematics classroom: A Vygotskian analysis. In H. Steinbring, M. B. Bussi, & A. Sierpinska (Eds.), Language and communication in the mathematics classroom (pp. 65–84). Reston, Virginia: National Council of Teachers of Mathematics.

    Google Scholar 

  • Bartolini Bussi, M., & Mariotti, M. A. (2008). Semiotic mediation in the mathematics classroom: Artefacts and signs after a Vygotskian perspective. In L. English (Ed.), Handbook of international research in mathematics education (2nd ed., pp. 746–783). New York: Routledge, Taylor and Francis.

    Google Scholar 

  • Castiello, U., Becchio, C., Zoia, S., Nelini, C., Sartori, L., Blason, L., et al. (2010). Wired to be social: The ontogeny of human interaction. PLoS ONE, 5(10), 1–10.

    Article  Google Scholar 

  • Cobb, P., & Yackel, E. (1996). Constructivist, emergent, and sociocultural perspectives in the context of developmental research. Educational Psychologist, 31(3/4), 175–190.

    Article  Google Scholar 

  • Cole, M. (2009). The perils of translation: A first step in reconsidering Vygotsky’s theory of development in relation to formal education. Mind, Culture & Activity, 16(4), 291–295.

    Article  Google Scholar 

  • Edwards, L., Radford, L., & Arzarello, F. (Guest Eds.) (2009). Gestures and multimodality in the teaching and learning of mathematics. Educational Studies in Mathematics, 70(2), 91–215.

    Google Scholar 

  • Flavell, J. H., Green, F. L., Flavell, E. R., & Grossman, J. B. (1997). The development of children’s knowledge about inner speech. Child Development, 68(1), 39–47.

    Article  Google Scholar 

  • Hegel, G. W. F. (1977). The phenomenology of spirit. Oxford and New York: Oxford University Press (First edition, 1807).

    Google Scholar 

  • Ilyenkov, E. (1977). The concept of the ideal. Philosophy in the USSR: Problems of dialectical materialism. Translated by R. Daglish (pp. 71–99). Moscow: Progress Publishers.

    Google Scholar 

  • Kaptelinin, V. (2005). The object of activity: Making sense of the sense-maker. Mind, Culture, and Activity, 12(1), 4–18.

    Article  Google Scholar 

  • Lave, J., Murtaugh, M., & de la Rocha, O. (1984). The dialectic of arithmetic in grocery shopping. In B. Rogoff & J. Lave (Eds.), Everyday cognition: Its development in social context (pp. 67–94). Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Leont’ev, A. N. (1978). Activity, consciousness, and personality. New Jersey: Prentice-Hall.

    Google Scholar 

  • Ligozat, F., & Schubauer-Leoni, M.-L. (2010). The joint action theory in didactics: Why do we need it in the case of teaching and learning mathematics? In V. Durand-Guerrier, S. Soury-Lavergne, & F. Arzarello (Eds.), Proceedings of the 6th Conference of European Research in Mathematics Education (CERME 6) (pp. 1615–1624). Lyon: Institut National de la Recherche Pédagogique.

    Google Scholar 

  • Marx, K. (1973). Grundrisse: Introduction to the critique of political economy. Baltimore: Penguin Books.

    Google Scholar 

  • Meltzoff, A. N., & Moore, M. K. (1977). Imitation of facial and manual gestures by human neonates. Science, New Series, 198(No. 4312), 75–78.

    Google Scholar 

  • Merleau-Ponty, M. (1960). Signes (signs). Paris: Gallimard.

    Google Scholar 

  • Piaget, J. (1967). Études sociologiques (Sociological studies). Genève: Librairie Droz.

    Google Scholar 

  • Piaget, J. (1973). To understand is to invent. The future of education. New York: Grossman.

    Google Scholar 

  • Radford, L. (2008a). The ethics of being and knowing: Towards a cultural theory of learning. In L. Radford, G. Schubring, & F. Seeger (Eds.), Semiotics in mathematics education: Epistemology, history, classroom, and culture (pp. 215–234). Rotterdam: Sense Publishers.

    Google Scholar 

  • Radford, L. (2008b). Culture and cognition: Towards an anthropology of mathematical thinking. In L. English (Ed.), Handbook of international research in mathematics education (2nd ed., pp. 439–464). New York: Routledge, Taylor and Francis.

    Google Scholar 

  • Radford, L. (2009a). L’altérité comme problème éducatif (Alterity as an educational problem). In J. Boissonneault, R. Corbeil, & A. Hien (Eds.), Actes de la 15e journée Sciences et Savoirs (pp. 11–27). Sudbury: Université Laurentienne.

    Google Scholar 

  • Radford, L. (2009b). “No! He starts walking backwards!”: Interpreting motion graphs and the question of space, place and distance. ZDM - The International Journal on Mathematics Education, 41, 467–480.

    Article  Google Scholar 

  • Radford, L. (2010). Classroom interaction: Why is it good, really? Educational Studies in Mathematics. doi:10.1007/s10649-010-9271-4.

  • Roth, M.-W. (2001). Gestures: Their role in teaching and learning. Review of Educational Research, 71(3), 365–392.

    Article  Google Scholar 

  • Roth, W.-M., & Lee, Y. J. (2007). “Vygotsky’s neglected legacy”: Cultural–historical activity theory. Review of Educational Research, 77, 186–232.

    Article  Google Scholar 

  • Roth, W.-M., & Radford, L. (2010). Re/thinking the zone of proximal development (symmetrically). Mind, Culture, and Activity, 17, 299–307.

    Article  Google Scholar 

  • Schwarz, B., Dreyfus, T., & Hershkowitz, R. (Eds.). (2009). Transformation of knowledge through classroom interaction. London: Routledge.

    Google Scholar 

  • Steinbring, H., Bartolini Bussi, M., & Sierpinska, A. (Eds.). (1998). Language and communication in the mathematics classroom. Reston, VA: National Council of Teachers of Mathematics.

    Google Scholar 

  • Trevarthen, C., & Reddy, V. (2007). Consciousness in infants. The Blackwell companion to consciousness (pp. 41–57). Oxford: Blackwell Publishing.

    Google Scholar 

  • Vianna, E., & Stetsenko, A. (2006). Embracing history through transforming it. Theory & Psychology, 16(1), 81–108.

    Article  Google Scholar 

  • von Glasersfeld, E. (1995). Radical constructivism: A way of knowing and learning. London: The Falmer Press.

    Book  Google Scholar 

  • Vygotsky, L. (1986). Thought and language. Cambridge, MA: MIT Press.

    Google Scholar 

  • Vygotsky, L. S. (1987). Collected works (Vol. 1). R. W. Rieber and A. S. Carton (Eds.). New York: Plenum.

  • Vygotsky, L. (1997). Educational psychology. Boca Raton: St. Lucie Press.

    Google Scholar 

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Acknowledgments

This article is a result of research programs funded by the Social Sciences and Humanities Research Council of Canada (SSHRC/CRSH).

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Correspondence to Luis Radford.

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Radford, L., Roth, WM. Intercorporeality and ethical commitment: an activity perspective on classroom interaction. Educ Stud Math 77, 227–245 (2011). https://doi.org/10.1007/s10649-010-9282-1

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