ABSTRACT
There is mounting research evidence that contests the metaphysical perspective of knowing as mental process detached from the physical world. Yet education, especially in its teaching and learning practices, continues to treat knowledge as something that is necessarily and solely expressed in ideal verbal form. This study is part of a funded project that investigates the role of the body in knowing and learning mathematics. Based on a 3-week (15 1-h lessons) video study of 1-s grade mathematics classroom (N = 24), we identify 4 claims: (a) gestures support children’s thinking and knowing, (b) gestures co-emerge with peers’ gestures in interactive situations, (c) gestures cope with the abstractness of concepts, and (d) children’s bodies exhibit geometrical knowledge. We conclude that children think and learn through their bodies. Our study suggests to educators that conventional images of knowledge as being static and abstract in nature need to be rethought so that it not only takes into account verbal and written languages and text but also recognizes the necessary ways in which children’s knowledge is embodied in and expressed through their bodies.
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References
Alibali, M. W., Bassok, M., Solomon, K. O., Syc, S. E. & Goldin-Meadow, S. (1999). Illuminating mental representations through speech and gesture. Psychological Science, 10, 327–333.
Bakhtin, M. (1993). Toward a philosophy of the act. Austin, TX: University of Texas Press.
Battista, M. T. (2007). The development of geometric and spatial thinking. In F. K. Lester Jr. (Ed.), Second handbook of research on mathematics teaching and learning (pp. 843–907). Charlotte, NC: Information Age.
Beattie, G. & Coughlan, J. (1998). Do iconic gestures have a functional role in lexical access? An experimental study of the effects of repeating a verbal message on gesture production. Semiotica, 119, 221–249.
Cook, S. W. & Goldin-Meadow, S. (2006). The role of gesture in learning: Do children use their hands to change their minds? Journal of Cognition and Development, 7(2), 211–232.
Davis, B. & Simmt, E. (2003). Understanding learning systems: Mathematics education and complexity science. Journal for Research in Mathematics Education, 34(2), 137–167.
Edwards, L. (2009). Gestures and conceptual integration in mathematical talk. Educational Studies in Mathematics, 70(2), 127–141.
Goldin-Meadow, S., Wein, D. & Chang, C. (1992). Assessing knowledge through gestures: Using children’s hands to read their minds. Cognition and Instruction, 9(3), 201–219.
Goldin-Meadow, S. (2004). Gesture’s role in the learning process. Theory in Practice, 43(4), 314–321.
Hadar, U. & Butterworth, B. (1997). Iconic gestures, imagery, and word retrieval in speech. Semiotica, 115, 147–172.
Heidegger, M. (1982). Gesamtausgabe Band 54: Parmenides [Works vol 54: Parmenides]. Frankfurt, Germany: Vittorio Klostermann.
Horn, J. & Wilburn, D. (2005). The embodiment of learning. Educational Philosophy and Theory, 37(5), 745–760.
Iverson, J. M. & Goldin-Meadow, S. (1998). Why people gesture when they speak. Nature, 396, 228.
Jordan, B. & Henderson, A. (1995). Interaction analysis: Foundations and practice. The Journal of the Learning Sciences, 4, 39–103.
Kant, I. (1956). Werke Band II: Kritik der reinen Vernunft [Works vol. 3: Critique of pure reason]. Wiesbaden, Germany: Insel.
Koschmann, T. & LeBaron, C. (2002). Learner articulation as interactional achievement: Studying the conversation of gesture. Cognition and Instruction, 20(2), 249–282.
Lakoff, G. & Johnson, M. (1999). Philosophy in the flesh: The embodied mind and its challenge to western thought. New York: Basic Books.
Maine de Biran, P. (1952). Mémoire sur la décomposition de la pensée [Thesis on the decomposition of thought]. Paris, France: Presses Universitaires de France.
Merleau-Ponty, M. (1945/2002). Phenomenology of perception. London: Routledge.
Merleau-Ponty, M. (1964). Le visible et l’invisible [The visible and the invisible]. Paris, France: Gallimard.
Mulligan, J., Mitchelmore, M. & Prescott, A. (2005). Case studies of children’s development of structure in early mathematics: A two-year longitudinal study. In H. L. Chick & J. L. Vincent (Eds.), Proceedings of the 29th conference of the international group for the psychology of mathematics education, Vol. 4 (pp. 1–8). Melbourne, VIC, Australia: PME.
Nemirovsky, R. & Ferrara, F. (2009). Mathematical imagination and embodied cognition. Educational Studies in Mathematics, 70(2), 159–174.
Núñez, R., Edwards, L. & Matos, J. (1999). Embodied cognition as grounding for situated and context in mathematics education. Educational Studies in Mathematics, 39(1–3), 45–65.
Outhred, L. & Mitchelmore, M. (2004). Students’ structuring of rectangular arrays. In M. J. Høines & A. B. Fuglestad (Eds.), Proceedings of the 28th PME international conference, 3 (pp. 465–472). Bergen, Norway: Bergen University College.
Piaget, J. (1970). Child’s conception of movement and speed. London: Routledge.
Pirie, S. & Kieren, T. (1994). Growth in mathematical understanding: How can we characterize it and how can we represent it? Educational studies in Mathematics, 26(2–3), 165–190.
Radford, L. (2009). Why do gestures matter? Sensuous cognition and the palpability of mathematical meanings. Educational studies in Mathematics, 70(2), 111–126.
Rasmussen, C., Nemirovsky, R., Olszewski, J., Dost, K. & Johnson, J. (2004). On forms of knowing: The role of bodily activity and tools in mathematical learning. Educational studies in Mathematics, 57(3), 303–321.
Roth, W.-M. (2001). Gestures: Their role in teaching and learning. Review of Educational Research, 71(3), 365–392.
Roth, W.-M. (2003). From epistemic (ergotic) actions to scientific discourse: Do gestures obtain a bridging function? Pragmatics & Cognition, 11, 139–168.
Roth, W.-M. (2005). Doing qualitative research: Praxis of method. Rotterdam, The Netherlands: Sense.
Roth, W.-M. (2007). Communication as situated, embodied practice. In T. Ziemke, J. Zlatev, R. Frank & R. Dirven (Eds.), Body, language and mind (pp. 431–456). Berlin, Germany: Walter De Gruyter.
Roth, W.-M. (2009). Mathematical representation at the interface of body and culture. Charlotte, NC: Information Age.
Roth, W.-M. (2010). Geometry as objective science in elementary school classrooms: Mathematics in the flesh. New York: Routledge.
Roth, W.-M. & Thom, J. (2009a). Bodily experience and mathematical conceptions: From classical views to a phenomenological reconceptualization. Educational Studies in Mathematics, 70, 175–189.
Roth, W.-M. & Thom, J. S. (2009b). The emergence of 3D geometry from children’s (teacher-guided) classification tasks. Journal of the Learning Sciences, 18, 45–99.
Sfard, A. (2007). Thinking and communicating: Human development, the growth of discourses, and mathematizing. Cambridge, MA: Cambridge University Press.
Sheets-Johnstone, M. (2009). The corporeal turn: An interdisciplinary reader. Exeter, UK: Imprint Academic.
Singer, M. & Goldin-Meadow, S. (2005). Children learn when their teacher’s gestures and speech differ. Psychological Science, 16(2), 85–89.
Steffe, L. (2002). A new hypothesis concerning children’s fractional knowledge. Journal of Mathematical Behavior, 20(2), 267–307.
Steffe, L. (2003). Fractional commensurate, composition, and adding schemes learning trajectories of Jason and Laura: Grade 5. Journal of Mathematical Behavior, 22(2), 237–295.
Varela, F., Thompson, E. & Rosch, E. (1991). The embodied mind: Cognitive science and human experience. Cambridge, MA: MIT Press.
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Cambridge, MA: Harvard University Press.
Vygotsky, L. S. (1986). Thought and language. Cambridge, MA: MIT Press.
Vygotsky, L. S. (1997). The collected works of L. S. Vygotsky, Vol. 4. In R. Rieber (Ed.), The history of the development of the higher mental functions. New York: Plenum.
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Kim, M., Roth, WM. & Thom, J. CHILDREN’S GESTURES AND THE EMBODIED KNOWLEDGE OF GEOMETRY. Int J of Sci and Math Educ 9, 207–238 (2011). https://doi.org/10.1007/s10763-010-9240-5
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DOI: https://doi.org/10.1007/s10763-010-9240-5