Multimodality and mathematical meaning-making: Blind students’ interactions with Symmetry

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Palabras clave:

Mathematics Education, Visual Impairment, Embodied Cognition, Phenomenology, Symmetry, Geometrical Transformations

Resumen

In this paper, we examine the claim that mathematical cognition is embodied by exploring the co-ordinations of multimodal resources which characterise dialogues between researchers and blind mathematics students. We begin by considering approaches to understanding the relationship between perception and conception in different academic fields, notably philosophy and neuroscience. This leads us to adopt an embodied perspective on mathematical cognition, with roots in the Phenomenology of Merleau-Ponty. We illustrate how the lived-in bodies of the two blind students interviewed impinged upon their mathematical activities as they worked on a series of task involving symmetrical figures and geometrical transformations – and how the practices of the student with no visual memories differed from those of the student who had more recently lost his sight.

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BARSALOU, L. W. (2008). Grounded Cognition. Annual Review of Psychology, January, Vol. 59, Pages 617-645.

BARSALOU, L.W. (2009). Simulation, Situated Conceptualization, and Prediction. Philosophical Transactions of the Royal Society of London: Biological Sciences, 364, 1281-1289.

COLE, M.; SCRIBNER, S. (1998). Introdução. In: VYGOTSKY, L. S. A formação social da mente. Org. Michael Cole, et al. Tradução José Cipolla Neto, Luís Silveira Menna Barreto, Solange Castro Afeche. 6ª ed. São Paulo: Martins Fontes, pp. 3-19.

DAMÃSIO, A. (1994). Descartes’ error: emotions, reason, and the human brain. New York: Avon Books.

DAMÃSIO, A. (2005). O mistério da consciência: do corpo e das emoções ao conhecimento de si. Tradução Laura Teixeira Motta. 7ª ed. São Paulo: Companhia Das Letras.

DESCARTES, R. (1979). Discurso do método: meditações objeções e respostas às paixões da alma cartas. 2a.ed. São Paulo: Abril Cultural, 324 p. (originalmente publicado em Paris, em 1641).

DIDEROT, D. (1749/1916). Letter on the blind for the use of those who see. In Diderot’s early philosophical works, ed. M. Jourdain. Chicago: Open Court.

GALLESE, V. & LAKOFF, G. (2005). The brain’s concepts: The role of the sensory-motor system in conceptual knowledge. Cognitive Neuropsychology, 22, 455-479.

GALLESE, V. (2005). Embodied simulation: From neurons to phenomenal experience. Phenomenology and the Cognitive Sciences 4: 23–48.

GRENIER, D. & LABORDE, C. (1988). Transformations Géométriques: Le cas de la symétrie orthogonale. In Didactique et acquistion des connaissances scientifique: Actes du colloque de Sèvres. (pp. 65-86). Grenoble: Le pensée sauvage.

HEALY, L. (2002). ). Iterative design and comparison of learning systems for reflection in two dimensions. Doutoral Thesis. London: University of London.

KÜCHEMANN, D. (1981). Reflection and rotation. In Hart K (Ed), Children’s understanding of mathematics: 11-16. (pp. 137-157). London: John Murray.

LAKOFF, G. & M. JOOHNSON (1999) Philosophy in the Flesh: The Embodied Mind and its Challenge to Western Thought. New York: Basic Books.

LEIBNIZ, G. W. (1974). A Monadologia. Discurso de Metafísica e Outras Obras. Tradução: Marilena de Souza Chauí Berlinck (et al.). 1ª ed. São Paulo: Nova Cultura. Os Pensadores; v.19.

LOCKE, J. (1991) Ensaio Acerca do Entendimento Humano. Segundo Tratado sobre o Governo. Tradução: Primeira parte Anoar Aiex; segunda parte E. Jacy Monteiro. 5ª ed. São Paulo: Nova Cultura. Os Pensadores; v.9. (publicado originalmente em 1690).

MERLEAU-PONTY, M. (1962/1945). Phenomenology of Perception. C. Smith (trans.). New York and London: Routledge. Originally published in French as Phénoménologie de la Perception.

NEMIROVSKY, R.; FERRARA, F. Mathematical imagination and embodied cognition. Educational Studies in Mathematics, v. 70, n. 2, 2008, p. 159-174.

OAKLEY, T. (2007). Image Schemas. In D. Geeraerts & H. Cuyckens, eds. Handbook of Cognitive Linguistics, 214-235. New York: Oxford University Press.

PIAGET, J. & GARCIA, R. (1987). Psicogênese e História das Ciências. Lisboa: Dom Quixote.

VAN DER VEER, R. & VALSINER, J. (1996). Vygotsky - Uma síntese. Tradução de: Cecília C. Bartalotti. 4. ed. São Paulo: Loyola.

VYGOTSKY, L. S. (1998a). A formação social da mente. Org. Michael Cole, et al. Tradução José Cipolla Neto, Luís Silveira Menna Barreto, Solange Castro Afeche. 6ª ed. São Paulo: Martins Fontes.

Publicado

2013-01-01

Cómo citar

FERNANDES, S. H. A. A.; HEALY, L. Multimodality and mathematical meaning-making: Blind students’ interactions with Symmetry. Revista Internacional de Pesquisa en Educación Matemática, v. 3, n. 1, p. 36-55, 1 ene. 2013.

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