Abstract
In this chapter, we offer a perspective on affect in mathematics education which we put in conversation with main approaches that currently dominate the field. We articulate our theoretical commitments drawing on a brief episode in which an 8-year-old student, Filippo, works on a patterning task to which he is challenged by the teacher. We exploit theoretical considerations on the affective/tactile-kinaesthetic body and its capacity to affect and be affected, starting from the video data of the one-minute interaction of the child with the teacher. This capacity is introduced in terms of the concept of affectivity as studied by Sheets-Johnstone. Borrowing from the perspective of inclusive materialism, we do not see affect and emotion as something possessed by the individual, rather we dwell into a discussion of their impersonal nature and the way that they circulate across learning assemblages, informed by movement and change. We use the ancient concept of sympathy to better understand the productive entanglement, or sympathetic agreement, of the child and the pattern. We extend the discourse on sympathetic bonds to stress how the concept matters and the tonal differences between one experience and another.
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References
Bautista, A., & Roth, W. M. (2012). The incarnate rhythm of geometrical knowing. The Journal of Mathematical Behavior, 31(1), 91–104.
Bergson, H. (1911/1998). Creative evolution. New York: Dover Publications (Orig. English translation 1911).
Brouwer, R. (2015). Stoic sympathy. In E. Schliesser (Ed.), Sympathy: A history (pp. 15–35). Oxford: Oxford University Press.
de Freitas, E., Ferrara, F., & Ferrari, G. (2017). The coordinated movement of a learning assemblage: Secondary school students exploring Wii graphing technology. In E. Faggiano, F. Ferrara, & A. Montone (Eds.), Innovation and technology enhancing mathematics education (pp. 59–75). Basel: Springer International Publishing AG.
de Freitas, E., Ferrara, F., & Ferrari, G. (2019). The coordinated movements of collaborative mathematical tasks: The role of affect in transindividual sympathy. ZDM, 51(2), 305–318.
de Freitas, E., & Sinclair, N. (2014). Mathematics and the body: Material entanglements in the classroom. Cambridge: Cambridge University Press.
Hannula, M. S. (2012). Exploring new dimensions of mathematics-related affect: Embodied and social theories. Research in Mathematics Education, 14(2), 137–161.
Ingold, T. (2011). Being alive: Essays on movement, knowledge and description. London: Routledge.
Nemirovsky, R., & Ferrara, F. (2009). Mathematical imagination and embodied cognition. Educational Studies in Mathematics, 70(2), 159–174.
Nemirovsky, R., Rasmussen, C., Sweeney, G., & Wawro, M. (2012). When the classroom floor becomes the complex plane: Addition and multiplication as ways of bodily navigation. Journal of the Learning Sciences, 21(2), 287–323.
Radford, L. (2009). Why do gestures matter? Sensuous cognition and the palpability of mathematical meanings. Educational Studies in Mathematics, 70(3), 111–126.
Radford, L. (2013). Sensuous cognition. In D. Martinovic, V. Freiman, & Z. Karadag (Eds.), Visual mathematics and cyberlearning (pp. 141–162). Dordrecht: Springer Netherlands.
Radford, L. (2015). Of love, frustration, and mathematics: A cultural-historical approach to emotions in mathematics teaching and learning. In B. Pepin & B. Roesken-Winter (Eds.), From beliefs to dynamic affect systems in mathematics education: Exploring a mosaic of relationships and interactions (pp. 25–49). Cham: Springer.
Roth, W. M., & Walshaw, M. (2019). Affect and emotions in mathematics education: Toward a holistic psychology of mathematics education. Educational Studies in Mathematics, 102(1), 111–125.
Sheets-Johnstone, M. (2009). Animation: The fundamental, essential, and properly descriptive concept. Continental Philosophy Review, 42(3), 375–400.
Sheets-Johnstone, M. (2011). The primacy of movement (expanded 2nd ed.). Amsterdam: John Benjamins Publishing.
Sheets-Johnstone, M. (2012). Movement and mirror neurons: A challenging and choice conversation. Phenomenology and the Cognitive Sciences, 11(3), 385–401.
Sinclair, N., Chorney, S., & Rodney, S. (2016). Rhythm in number: Exploring the affective, social and mathematical dimensions of using TouchCounts. Mathematics Education Research Journal, 28(1), 31–51.
Spuybroek, L. (2016). The sympathy of things: Ruskin and the ecology of design. London: Bloomsbury Publishing.
Stevens, R. (2012). The missing bodies of mathematical thinking and learning have been found. Journal of the Learning Sciences, 21(2), 337–346.
Zan, R., Brown, L., Evans, J., & Hannula, M. S. (2006). Affect in mathematics education: An introduction. Educational Studies in Mathematics, 63(2), 113–121.
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Ferrari, G., Ferrara, F. (2020). Affective Bonds and Mathematical Concepts: Speaking of Affect Through Sympathy. In: Andrà, C., Brunetto, D., Martignone, F. (eds) Theorizing and Measuring Affect in Mathematics Teaching and Learning. Springer, Cham. https://doi.org/10.1007/978-3-030-50526-4_2
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