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Semiosis and Subjectification: The Classroom Constitution of Mathematical Subjects

  • Luis RadfordEmail author
Chapter
Part of the ICME-13 Monographs book series (ICME13Mo)

Abstract

In this chapter, I consider semiosis as the continuous production of signs and significations. However, I do not limit the scope of signs to marks or inscriptions. I consider individuals as signs too. Like signs, individuals come to occupy positions in the social world and behave in ways that are not at all different from signs in a text. A crucial difference between inscriptions and individuals, though, is that individuals are not merely signified through well-defined syntaxes as inscriptions and traditional signs are. The cultural syntaxes through which individuals come to be positioned in the social world are less visible: they are part of a dynamic cultural symbolic superstructure. Another crucial difference is that, unlike inscriptions and marks, individuals co-produce themselves—even if it is within the limits of the aforementioned symbolic superstructure. Individuals co-produce themselves in what in this chapter I term processes of subjectification. This chapter is an attempt to study the processes of subjectification in the mathematics classroom. To do so, I analyze a classroom episode with pre-school children.

Keywords

Semiosis Being and becoming Subjectification Subjectivity Ethics Pre-school mathematics Pre-school games 

References

  1. Adorno, T. (2006). History and freedom. Cambridge: Polity Press.Google Scholar
  2. Bakhtin, M. M. (1981). The dialogical imagination. Austin: University of Texas Press.Google Scholar
  3. Hegel, G. W. F. (1977). Hegel’s phenomenology of spirit (1st ed.). Oxford: Oxford University Press. (Original work published 1807)Google Scholar
  4. Hegel, G. (1991). The encyclopaedia logic. (T. F. Geraets, W. A. Suchting, & H. S. Harris, Trans.). Indianapolis, IN: Hackett Publishing Company.Google Scholar
  5. Hegel, G. (2009). Hegel’s logic. (W. Wallace, Trans.). Pacifica, CA: MIA. (Original work published 1830).Google Scholar
  6. Illouz, E. (1997). Consuming the romantic utopia. London: The University of California Press.Google Scholar
  7. Lancy, D. F. (1983). Cross-cultural studies in cognition and mathematics. New York: Academic Press.Google Scholar
  8. Leont’ev [or Leontyev], A. N. (2009). Activity and consciousness. Pacifica, CA: MIA.Google Scholar
  9. Lévinas, E. (1982). Éthique et infini [Ethic and infinity]. Paris: Fayard.Google Scholar
  10. Marcuse, H. (2007). Collected papers. Vol 4: Art and liberation. Abingdon, Oxon: Routledge.Google Scholar
  11. Meaney, T., Helenius, O., Johansson, M., Lange, T., & Werberg, A. (Eds.). (2016). Mathematics education in the early years. Cham, Switzerland: Springer.Google Scholar
  12. Moretti, V., & Radford, L. (2016). Towards a culturally meaningful history of concepts and the organization of mathematics teaching activity. In L. Radford, F. Furinghetti, & T. Hausberger (Eds.), Proceedings of the 2016 ICME satellite meeting of the international study group on the relations between the history and pedagogy of mathematics (pp. 503–512). Montpellier: IREM de Montpellier.Google Scholar
  13. Radford, L. (2004). From truth to efficiency: Comments on some aspects of the development of mathematics education. Canadian Journal of Science, Mathematics and Technology Education/Revue Canadienne de L’enseignement des Sciences, des Mathématiques et des Technologies, 4(4), 551–556.Google Scholar
  14. 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
  15. 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
  16. Radford, L. (2012). Education and the illusions of emancipation. Educational Studies in Mathematics, 80(1), 101–118.CrossRefGoogle Scholar
  17. Radford, L. (2014). On teachers and students. In P. Liljedahl, C. Nicol, S. Oesterle, & D. Allan (Eds.), Proceedings of the joint meeting of PME 38 and PME-NA 36 (Vol. 1, pp. 1–20). Vancouver: PME.Google Scholar
  18. Radford, L., & Roth, W.-M. (2011). Intercorporeality and ethical commitment: An activity perspective on classroom interaction. Educational Studies in Mathematics, 77(2–3), 227–245.CrossRefGoogle Scholar
  19. Spinoza, B. (1989). Ethics including the improvement of the understanding (R. Elwes, Trans.). Buffalo: Prometheus. (Original work published 1667).Google Scholar
  20. Struik, D. (1968). The prohibition of the use of arabic numerals in Florence. Archives Internationales d’histoire des Sciences, 21(84–85), 291–294.Google Scholar
  21. Taylor, C. (1989). Sources of the self. Cambridge, Ma: Harvard University Press.Google Scholar
  22. van Oers, B. (2013). Challenges in the innovation of mathematics education for young children. Educational Studies in Mathematics, 84, 267–272.CrossRefGoogle Scholar
  23. Voloshinov, V. N. (1973). Marxism and the philosophy of language. New York: Seminar Press.Google Scholar
  24. Vygotsky, L. (1967). Play and its role in the mental development of the child. Journal of Russian and East Psychology, 5(3), 6–18.CrossRefGoogle Scholar
  25. Vygotsky, L. (1989). Concrete human psychology. Journal of Russian and East European Psychology, 27(2), 53–77.CrossRefGoogle Scholar
  26. Vygotsky, L. S. (1998). Collected works (Vol. 5). New York: Plenum Press.Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.École des sciences de l’éducationUniversité LaurentienneSudburyCanada

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