Artículos
Vol. 26 Núm. 3 (2023): Noviembre
Interacción no verbal y participación visual de los estudiantes en clases de matemáticas: un estudio de la organización del espacio en la comunicación lingüística
Facultad de Educación, Universitat de Barcelona, España.
Facultad de Educación, Norwegian University of Science and Technology (NTNU), Trondheim, Noruega.
Facultad de Educación, Universitat de Barcelona, Barcelona, España.
Resumen
Este estudio tiene como objetivo examinar a qué distancia específica los estudiantes están más o menos comprometidos visualmente con el maestro y en qué medida las instrucciones dadas por él, a través de gestos de señalar, afectan la participación del alumnado en la clase de matemáticas. Para ello, se seleccionaron aleatoriamente 50 alumnos, 25 chicos y 25 chicas, quienes utilizaron una mini cámara acoplada a unos lentes que grabaron 75 horas de video. Los resultados muestran que el alumnado está más involucrado visualmente con las instrucciones del maestro en un rango proxémico de 1,20 a 3,70 metros. Además, se describen las diferencias entre chicos y chicas en cuanto a la for ma que tienen de involucrarse visualmente en las clases de matemáticas. Finalmente, se concluye que los gestos de señalar realizados por los docentes pueden servir como herramienta para recuperar la atención visual de los estudiantes en las clases de matemáticas.
Referencias
- Aiello, J. R. e Jones, S. E. (1971). Field study of the proxemic behavior of young children in three subcultural groups. Journal of Personality and Social Psychology, 19, 351–356. http://dx.doi.org/10.1037/h0031433
- Andersen, P. A. (1999). Nonverbal communication: Forms and functions. Mayfield Pub. Arzarello, F., Paola, D., Robutti, O., e Sabena, C. (2009). Gestures as semiotic resources in the mathematics classroom. Educational Studies in Mathematics, 70, 97–109. https://doi.org/10.1007/s10649-008-9163-z
- Azaoui, B. (2015). Polyfocal classroom interactions and teaching gestures. An analysis of nonverbal orchestration. Proceedings “Gestures and speech in interaction (GESPIN)”, Nantes, 2–4 september 2015.
- Brey, E., e Shutts, K. (2015). Children use nonverbal cues to make inferences about social power. Child Development, 86(1), 276–286. http://dx.doi.org/10.1111/cdev.12334
- Brown, C. E. (1981). Shared space invasion and race. Personality and Social Psychology Bulletin, 7, 103–108. http://dx.doi.org/10.1177/014616728171016
- Burgess, W. J. (1983). Developmental trends in proxemic spacing behavior between surrounding companions and strangers in casual groups. Journal of Nonverbal Behavior, 7, 158–169. http://dx.doi.org/10.1007/BF00986946
- Calbris, G. (1990). Semiotics of French Gesture. Indiana University Press. Collier, J. (1995). Photography and visual anthropology. In P. Hockings (ed.), Principles of Visual Anthropology, second edition (pp. 235–254). Mouton.
- Collier, M. (1983). Nonverbal Factors in the Education of Chinese American Children: A Film Study. Asian American Studies, SFSU. Collier, M. (2001) Approaches to analysis in visual anthropology. In T. van Leeuwen, e C. Jewitt, (Eds.), Handbook of visual analysis, (pp. 35–60). Sage publications London. Thousands Oaks. New Delhi.
- Darwin, C. (1872). The expression of the emotions in man and animals. John Murray.
- Enfield, N. J. (2001). Lip-pointing: A discussion of form and function with reference to data from Laos. Gesture, 1, 185–211. http://dx.doi.org/10.1075/gest.1.2.06enf
- Espinoza-Vásquez, G., Zakaryan, D., e Carrillo Yáñez, J. (2018). El conocimiento especializado del profesor de matemáticas en el uso de la analogía en la enseñanza del concepto de función. Revista latinoamericana de investigación en matemática educativa, 21(3), 301–324. http://dx.doi.org/10.12802/relime.18.2133
- Falsetti, M. C., e Rodríguez, M. A. (2005). Interacciones y aprendizaje en matemática preuniversitaria: ¿Qué perciben los alumnos? Revista Latinoamericana de Investigación en Matemática Educativa, 8(3), 319–338. Available at: https://www.redalyc.org/articulo.oa?id=33508305
- Farsani, D. (2015a). Deictic gestures as amplifiers in conveying aspects of mathematics register. In Proceedings of the 9 th Conference of European Society for Research in Mathematics Education (pp. 1382–1384). Prague, Czech.
- Farsani, D. (2015b). Making Multi-Modal Mathematical Meaning in Multilingual Classrooms. [Unpublished PhD thesis]. University of Birmingham.
- Farsani, D., Breda, A., e Sala-Sebastià, G. (2020). ¿Cómo los gestos de los maestros afectan a la atención visual de las estudiantes durante el discurso matemático? REDIMAT, 9(3), 220–242. https://doi.org/10.17583/redimat.2020.5185
- Farsani, D., Breda, A., e Sala-Sebastià, G. (2022). Non-verbal interaction and students’ visual engagement in Mathematics and English classes. Acta Scientiae, 24(5), 1–26. https://doi.org/10.17648/acta.scientiae.6721
- Farsani, D., e Mendes., J. (2021). Proxêmica e comunicação não verbal na interação em sala de aula. Psicologia Escolar e Educacional, 25, e229866. https://doi.org/10.1590/2175-35392021229866
- Farsani, D., Radmehr, F., Alizadeh, M., e Zakariya, Y. F. (2021) Unpacking the black-box of students’ visual attention in mathematics and English classrooms: Empirical evidence using mini-video recording gadgets. Journal of Computer Assisted Learning, 37(3), 773–781. https://doi.org/10.1111/jcal.12522
- Font, V., e Nanclares, J. I. A. (2003). Fenómenos relacionados con el uso de metáforas en el discurso del profesor. El caso de las gráficas de funciones. Enseñanza de las Ciencias. Revista de investigación y experiencias didácticas, 21(3), 405–418. Available at: https://raco.cat/index.php/Ensenanza/article/view/21947
- Givens, D. B. (2016). Reading palm-up signs: neurosemiotic overview of a common hand gesture. Semiotica, 235–250. https://doi.org/10.1515/sem-2016-0053
- Godino, J. D., Batanero, C., e Font, V. (2019). The onto-semiotic approach: implications for the prescriptive character of didactics. For the learning of mathematics, 39(1), 38–43. Available at: https://flm-journal.org/Articles/7BF8C2BCB810897D52601E7BD7A1A7.pdf
- Goodwin, C. (2001). Practices of seeing: Visual analysis: An ethnomethodological approach. In T. van Leeuwen, e C. Jewitt (Eds.), Handbook of visual analysis, (pp. 157–182). Sage Publications London. Thousands Oaks. New Delhi.
- Good, C., Aronson, J., e Harder, J. A. (2008). Problems in the pipeline: Stereotype threat and women’s achievement in high-level math courses. Journal of Applied Developmental Psychology, 29(1), 17–28. http://dx.doi.org/10.1016/j.appdev.2007.10.004
- Hall, E. T. (1963). A system for notation of proxemic behavior. American Anthropologist, 65, 1003–1026. http://dx.doi.org/10.1525/aa.1963.65.5.02a00020
- Hall, E. T. (1966). The Hidden Dimension. Doubleday.
- Hall, E. T. (1973). Handbook for Proxemic Research. Society for the Anthropology of Visual Communication.
- Hockings, P. (ed.) (1995). Principles of visual anthropology [2nd edition]. Mouton.
- Holsanova J. (2012). New methods for studying visual communication and multimodal integration. Visual Communication, 11(3), 251–257. http://dx.doi.org/10.1177/1470412912446558
- Holsanova, J., Rahm, H., e Holmqvist, K. (2006). Entry Points and Reading Paths on Newspaper Spreads: Comparing a Semiotic Analysis with Eye-Tracking Measurements. Visual Communication, 5(1), 65–93. http://dx.doi.org/10.1177/1470357206061005
- Inagaki, K., Shimizu, T., e Sakairi, Y. (2018). Effects of posture regulation on mood states, heart rate and test performance in children. Educational Psychology, 38(9), 1129–1146. http://dx.doi.org/10.1080/01443410.2018.1504003
- Jewitt, C. (1999). A social semiotic analysis of male heterosexuality in sexual health resources: The case of images. International Journal of Social Research Methodology: Theory and Practice, 1(4), 263–280. http://dx.doi.org/10.1080/13645579.1998.10846880
- Kaya, N. e Erkíp, F. (1999). Invasion of personal space under the condition of short-term crowding: A case study on an automatic teller machine. Journal of Environmental Psychology, 19, 183–189. http://dx.doi.org/10.1006/jevp.1999.0125
- Kendon, A. (2004). Gesture: Visible action as utterance. Cambridge University Press. Kendon, A., e Versante, L. (2003). Pointing by hand in Neapolitan. In S. Kita (ed.), Pointing: Where Language Culture and Cognition Meet (pp. 109–138). Lawrence Erlbaum, Hillsdale, NJ.
- Khatin-Zadeh, O., Farsani, D., e Breda, A. (2023). How can transforming representation of mathematical entities help us employ more cognitive resources?. Frontiers in Psychology, 14, 1091678. https://doi.org/10.3389/fpsyg.2023.1091678
- Kita, S. (ed.) (2003). Pointing: Where language, culture, and cognition meet. Erlbaum Associates.
- Kress, G., Jewitt, C., Ogborn, J., e Tsatsarelis, C. (2001). Multimodal teaching and learning: The Rhetorics of Science Classroom. Continuum.
- Kress, G., e van Leeuwen T. (1996). Reading Images: The Grammar of Visual Design. Routledge.
- Kress, G., e van Leeuwen T. (2002). Colour as a semiotic mode: notes for a grammar of colours. Visual Communication, 1(3), 343–68. http://dx.doi.org/10.1177/147035720200100306
- LaCrosse, M. B. (1975). Nonverbal behaviour and perceived counselor attractiveness and persuasiveness. Journal of Counseling Psychology, 22, 563–566. https://doi.org/10.1037/0022-0167.22.6.563
- Leibman, M. (1970). The effects of sex and race norms on personal space. Environment and Behavior, 2, 208–246. http://dx.doi.org/10.1177/001391657000200205
- Llobera, J., Spanlang, B., Ruffini, G., e Mel Slater, I. (2010). Proxemics with multiple dynamic characters in an immersive virtual environment. ACM Transactions on Applied Perception 8(1), article 3. http://dx.doi.org/10.1145/1857893.1857896
- Madden, S. J. (1999). Proxemics and gender: Where’s the spatial gap? North Dakota Journal of Speech and Theater, 12, 1–8.
- Manghi Haquin, D. (2010). Recursos semióticos del profesor de matemática: funciones complementarias del habla y los gestos para la alfabetización científica escolar. Estudios pedagógicos, 36(2), 99-115. http://dx.doi.org/10.4067/S0718-07052010000200006
- McNeill, D. (1992). Hand and mind: What gestures reveal about thought. The University of Chicago Press.
- Mehrabian, A. (1972) Nonverbal communication. Aldine-Atherton.
- Merritt, P., Hirshman, E., Wharton, W., Stangl, B., Devlin, J., e Lenz, A. (2007). Evidence for gender differences in visual selective attention. Personality and Individual Differences, 43(3), 597–609. http://dx.doi.org/10.1016/j.paid.2007.01.016
- Mumm, J. e Mutlu, B. (2011). Human-Robot Proxemics: Physical and Psychological Distancing in Human-Robot Interaction. In: Proceedings of the 6th ACM/IEEE Conference on Human- Robot Interaction. Lausanne, Switzerland.
- Noesjirwan, J. (1977). Contrasting cultural patterns on interpersonal closeness in doctors: Waiting rooms in Sydney and Jakarta. Journal of Cross-Cultural Psychology, 8, 357–368. http://dx.doi.org/10.1177/002202217783008
- Norris, S. (2011). Three hierarchical positions of deictic gesture in relation to spoken language: a multimodal interaction analysis. Visual Communication, 10(2),129–147. https://doi.org/10.1177/1470357211398439
- O’Halloran, K. L. (2005) Mathematical Discourse: Language, Symbolism and Visual Images. Continuum.
- Planas, N., e Iranzo, N. (2009). Consideraciones metodológicas para la interpretación de procesos de interacción en el aula de matemáticas. Revista Latinoamericana de Investigación en Matemática Educativa, 12(2), 179–213.
- Radford, L. (2003). Gestures, speech, and the sprouting of signs: A semiotic-cultural approach to students’ types of generalization. Mathematical thinking and learning, 5(1), 37–70. http://dx.doi.org/10.1207/S15327833MTL0501_02
- Radford, L. (2006a). Elementos de una teoría cultural de la objetivación. Revista Latinoamericana de Investigación en Matemática Educativa, 9(Extraordinario 1), 103–129.
- Radford, L. (2006b). Semiótica y educación matemática. Revista Latinoamericana de Investigación en Matemática Educativa, 1(Extraordinario 1), 7–21.
- Radford, L. (2009). Why do gestures matter? Sensuous cognition and the palpability of mathematical meanings. Educational Studies in Mathematics, 70, 111–126. http://dx.doi.org/10.1007/s10649-008-9127-3
- Radford, L., Edwards, L., e Arzarello, F. (2009). Introduction: beyond words. Educational Studies in Mathematics, 70(2), 91–95. http://dx.doi.org/10.1007/s10649-008-9172-y
- Remland, M. S., Jones, T. S., e Brinkman, H. (1995). Interpersonal distance, body orientation and touch: Effects of culture, gender, and age. The Journal of Social Psychology, 135, 281–297. http://dx.doi.org/10.1080/00224545.1995.9713958
- Salinas-Hernández, U., e Miranda, I. (2020). La teoría de la objetivación en el análisis de los modos de enseñanza: el caso de un profesor novato. RECME - Revista Colombiana De Matemática Educativa, 5(2), 83–91. Recuperado a partir de http://www.ojs.asocolme.org/index.php/RECME/article/view/361
- Sandoval-Troncoso, L., e Ledezma, C. (2021). Los gestos, una manera de comunicar matemática: el caso particular de las funciones. Educación matemática, 33(2), 205–226. http://dx.doi.org/10.24844/EM3302.08
- Scheiner, T., Godino, J. D., Montes, M. A., Pino-Fan, L. R., e Climent, N. (2022). On metaphors in thinking about preparing mathematics for teaching: In memory of José (“Pepe”) Carrillo Yáñez (1959–2021). Educational Studies in Mathematics, 111(2), 253–270. https://doi.org/10.1007/s10649-022-10154-4
- Scherer, S. E. (1974). Proxemic behavior of primary school children as a function of their socioeconomic class and subculture. Journal of Personality and Social Psychology, 26,800– 805. http://dx.doi.org/10.1037/h0036190
- Sinclair, A. (2005). Mathematics and imitation from age one to three. Journal for the Study of Education and Development, 28(4), 377–392. https://doi.org10.1174/021037005774518983
- Smith-Hanen, S. S. (1977). Effects of nonverbal behaviors on judged levels of counselor warmth and empathy. Journal of Counseling Psychology, 24(2), 87–91. http://dx.doi.org/10.1037/0022-0167.24.2.87
- Sobel, R. S. e Lillith, N. (1975). Determinants of non-stationary personal space invasion. Journal of Social Psychology, 97, 39–45. https://doi-org.sire.ub.edu/10.1080/00224545.1975.9923310
- Sommer, R. (1959). Studies in personal space. Sociometry, 22, 247–260.
- Sommer, R. (1961). Leadership and group geography. Sociometry, 24, 99–110.
- Soto-Andrade, J. (2007). La cognición hecha cuerpo f lorece en metáforas. En A. Ibáñez e D. Cosmelli (Eds.), Nuevos enfoques de la cognición. Redescubriendo la dinámica, la intención y la intersubjetividad (pp. 71–90). Universidad Diego Portales.
- Webber, S. (2008). Visual images in research. In L. G. Knowles, e A. Cole (Eds.), Handbook of Arts in Qualitative Research (pp. 41–53). Sage.
- Wilkins, D. (1999). What’s ‘The Point’? The significance of gestures of orientation in Arrernte. Presented to the Central Australian Linguistics Circle, Alice Springs. Nijmegen.
- Zahry, N. R., e Besley, J. C. (2019). Warmth Portrayals to Recruit Students into Science Majors. Visual Communication, 20(4), 470–500. https://doi.org/10.1177/1470357219871696