Gesture as a Cognitive Support to Solve Mathematical Problems
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Abstract
The aim of this study was to investigate the relationships between gestures and mathematical problem solving. It concentrates on the idea that gestures can improve the student’s mathematical conceptual abilities. The educational aim of the current study was to understand whether Penelope sewing the cloth every day will be eventually able to finish it in 50 days, before Ulysses returns in his home-town. To analyse children’s gestures we applied the McNeill classification. The participants were five children aged between 9 and 10 years, attending the fifth-grade class of a primary school in Turin, Italy. We used the observational method to analyse the children’s gestures behaviour. At the end of the analysis, we collected a corpus of 538 gestures. Results show that children use different gesture patterns to communicate their own mathematical ideas. Overall, these findings suggest that gestures facilitate children’ learning of mathematical concepts and improve their cognitive strategies to the problem solution.
- Alibali, M. W., Bassok, M., Solomon, K. O. S., Syc, E., & Goldin- Meadow, S. (1999). Illuminating mental representations through speech and gesture. Psychological Science, 10, 327-333. doi:10.1111/1467-9280.00163
- Arzarello, F., Bazzini, L., Ferrara, F., Robutti, O., Sabena, C., & Villa, B. (2006). Will Penelope choose another bridegroom? Looking for an answer through signs. In J. Novotná, H. Moraová, M. Krátká, & N. Stehlíková (Eds.), Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 73-80). Prague: Charles University.
- Arzarello, F., Francaviglia, M., & Servidio, R. (2006). Gesture and body-tactile experience in the learning of mathematical concepts. In Proceedings of the International Conference on Applied Mathematics-APLIMAT (pp. 253-259). Bratislava, SL: University of Slovenia.
- Arzarello, F., Paola, D., Robutti, O., & Sabena, C. (2009). Gestures as semiotic resources in the mathematics classroom. Educational Studies in Mathematics, 70, 97-109. doi:10.1007/s10649-008-9163-z
- Bazzini, L. (2001). From grounding metaphors to technological devices: A call for legitimacy in school mathematics. Educational Studies in Mathematics, 47, 259-271. doi:10.1023/A:1015143318759
- Church, R. B., Ayman-Nolley, S., & Alibali, M. W. (2001). Cross- modal representation and deep learning. Annual meeting of the cognitive development society. Virginia Beach, VA.
- 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, 211-232. doi:10.1207/s15327647jcd0702_4
- Edwards, L. (2009). Gesture, conceptual integration and mathematical talk. International Journal for Studies in Mathematics Education, 1, 33-46.
- Gallese, V., & Lakoff, G. (2005). The brain’s concepts: The role of the sensory-motor system in conceptual knowledge. Cognitive Neuropsychology, 22, 455-479. doi:10.1080/02643290442000310
- Goldin-Meadow, S. (1999). The role of gesture in communication and thinking. Trends in Cognitive Sciences, 3, 419-429. doi:10.1016/S1364-6613(99)01397-2
- Goldin-Meadow, S. (2003). Hearing gestures: How our hands help us think. Chicago: University Press.
- Goldin-Meadow, S., Nusbaum, H., Kelly, S. D., & Wagner, S. (2001). Explaining math: Gesturing lightens the load. Psychological Science, 12, 516-522. doi:10.1111/1467-9280.00395