Resolución colaborativa de problemas matemáticos: interacciones entre los participantes del grupo
DOI:
10.37618/PARADIGMA.1011-2251.2025.e2025028.id1622Palabras clave:
Resolución colaborativa de problemas, solución grupal de problemas matemáticos, modelo de interacciones, resolución de problemasResumen
Investigamos las interacciones que se dan entre los estudiantes de nivel elemental cuando resuelven problemas matemáticos. Los participantes (N = 25) fueron grabados mientras resolvían problemas de manera colaborativa y fueron entrevistados inmediatamente después de cada sesión de solución de problemas. El análisis realizado nos permitió concluir que las interacciones son procesos complejos y se dan en carriles de polos opuestos que se mueven entre las acciones personales y las acciones sociales, la individualización y la colaboración, las acciones espontáneas y las acciones concertadas, el aislamiento y la participación, el conocimiento individual y el conocimiento compartido, el discurso coloquial y el discurso matemático. Los resultados serán útiles para diseñar modelos de implementación de la estrategia de solución colaborativa de problemas en los salones de clases.Descargas
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Banilower, E. R., Smith, P. S., Weiss, I. R., Malzahn, K. A., Campbell, K. M., & Weis, A. M. (2013). Report of the 2012 national survey of science and mathematics education. Chapel Hill, NC: Horizon Research, Inc.
Cheeseman, J. (2018). Teachers’ perceptions of obstacles to incorporating a problem solving style of mathematics into their teaching. In Hunter, J., Perger, P., & Darragh, L. (Eds.), Making waves, opening spaces: Proceedings of the 41st annual conference of the Mathematics Education Research Group of Australasia (pp. 210- 217). Auckland: MERGA.
DeJarnette, A. F., & González, G. (2015). Positioning during group work on a novel task in Algebra II. Journal for Research in mathematics Education, 46(4), 378-422.
Fairclough, N. (2003). Analysing discourse: Textual analysis for social research. Psychology Press.
Good, T., McCaslin, M., & Reys, B. (1992). Investigating work group to promote problem solving in mathematics. En J. Brophy (Ed.), Advances in research on teaching, Vol. 3, Planning and managing learning tasks and activities (pp. 115 –160). JAI Press.
Johnson, D., & Johnson, R. T. (1986). Circles of learning: Cooperation in the classroom. Association for Supervision and Curriculum Development.
Mo, J. (2017), Collaborative problem solving, PISA in Focus, 78, OECD Publishing, Paris. Disponible en https://doi.org/10.1787/cdae6d2e-en.
Mueller, M., Maher, C., & Yankelewitz, D. (2012). A framework for analyzing the collaborative construction of arguments and its interplay with agency. Educational Studies in Mathematics, 80, 369-387.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common core state standards for mathematics. Washington DC: Autor. Disponible en http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf
OECD (2017), PISA 2015 collaborative problem‑solving framework, In PISA 2015 Assessment and Analytical Framework: Science, Reading, Mathematic, Financial Literacy and Collaborative Problem Solving, OECD Publishing, Paris, https://doi.org/10.1787/9789264281820-8-en
OECD. (2015). PISA 2015-Released field trial cognitive items. OECD Publishing. Disponible en http://www.oecd.org/pisa/test/PISA2015-Released-FT-Cognitive-Items.pdf
Powell, A. B. (2006). Socially emergent cognition: Particular outcome of student to-student discursive interaction during mathematical problem solving. Horizontes, 24(1), 33-42.
Roschelle, J., & Teasley, S. (1995). The construction of shared knowledge in collaborative problem solving. In C. O'Malley (Ed.), Computer-supported collaborative learning (pp. 69-197). Berlin, Germany: Springer Verlag.
Rivera Rivera, M. (2019). Exámenes en pareja: una instancia de aprendizaje matemático a nivel universitario. Disertación doctoral no publicada, Universidad de Puerto Rico, Río Piedras, PR.
Sarmiento-Klapper J. W. (2009). The sequential co-construction of the Joint Problem Space. In G. Stahl (Ed.), Studying virtual math teams (pp. 83-98). Springer, Boston, MA.
Sfard, A. (2001). Learning mathematics as developing a discourse. In R. Speiser, C. Maher, C. Walter (Eds), Proceedings of 21st Conference of PME-NA (pp. 23-44). Columbus, Ohio: Clearing House for science, mathematics, and Environmental Education.
Sfard, A. (2016). On the need for theory of mathematics learning and the promise of "commongnition". Conferencia presentada en el 13th International Congress on Mathematical Education. Hamburgo, 24 a 31 de Julio de 2016.
Slavin, R. (1990). Cooperative learning: Theory, research, and practice. Prentice Hall.
Sofroniou, A., & Poutos, K. (2016). Investigating the effectiveness of groupwork in mathematics. Education Sciences, 6(30), 2-15.
Vygotskii, L. (1967). Thought and language. The Massachusetts Institute of Technology.
Yin, R. K. (1994). Case study research: Design and methods (2nd edition). Sage.
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Derechos de autor 2025 Eric Iván Figueroa González, Omar Hernández Rodríguez, Yamily Colón Negrón
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