Habilidades cognitivas y sociales en la resolución de problemas matemáticos de forma colaborativa

Autores/as

DOI:

https://doi.org/10.15359/ru.36-1.50

Palabras clave:

Resolución colaborativa de problemas, Tareas matemáticas, Habilidades sociales, Habilidades cognitivas, Teoría de grafos

Resumen

 

[Objetivo] El objetivo del estudio fue analizar las habilidades cognitivas y sociales de un grupo de estudiantes y su profesora en una intervención basada en la resolución de problemas colaborativos (RPC) en matemática. [Metodología] Se realizó un estudio eligiendo uno de los 8 grupos de 4 estudiantes formados aleatoriamente en una intervención no curricular programada en 24 sesiones quincenales de 90 minutos. El grupo elegido quedó constituido por 4 estudiantes de género femenino. Se registraron las sesiones y se codificaron las interacciones entre sujetos (estudiantes y profesora) al inicio y término de la intervención respecto de habilidades de representación, regulación, comunicación y roles asumidos en el trabajo grupal, y en la interacción con la profesora. Estas codificaciones fueron posteriormente analizadas mediante técnicas de análisis de grafos asimétricos para medir la intensidad de las interacciones y por análisis de correspondencia determinar la significancia de las relaciones entre las subhabilidades involucradas. Se utilizó el paquete Rstudio. [Resultados] Se observa a lo largo de la implementación, un cambio significativo en cuanto a la intensidad de las interacciones entre las participantes respecto de los índices de centralidad y cercanía asociados a los grafos representativos, y una relación significativa entre las subhabilidades involucradas. [Conclusiones] El trabajo sistemático de RPC en matemática de la intervención realizada promueve y modifica las habilidades sociales y cognitivas y su interacción.

Referencias

Araujo, R. C., & Gadanidis, G. (2020). Online collaborative mind mapping in a mathematics teacher education program: a study on student interaction and knowledge construction. ZDM, 52(5), 943-958. https://doi.org/10.1007/s11858-019-01125-w

Andrews-Todd, J., & Forsyth, C. M. (2020). Exploring social and cognitive dimensions of collaborative problem solving in an open online simulation-based task. Computers in human behavior, 104, 105-759. https://doi.org/10.1016/j.chb.2018.10.025

Brodbeck, F. C., & Greitemeyer, T. (2000). Effects of individual versus mixed individual and group experience in rule induction on group member learning and group performance. Journal of Experimental Social Psychology, 36(6), 621-648. https://doi.org/10.1006/jesp.2000.1423

Camacho-Morles, J., Slemp, G. R., Oades, L. G., Morrish, L., & Scoular, C. (2019). The role of achieve- ment emotions in the collaborative problem-solving performance of adolescents. Learning and Individual Differences, 70, 169–181. https://doi.org/10.1016/j.lindif.2019.02.005

Care, E. (2018). Twenty-first century skills: From theory to action. Educational Assessment in an Information Age, 3-17. https://doi.org/10.1007/978-3-319-65368-6_1

Care, E., Griffin, P., Scoular, C., Awwal, N., & Zoanetti, N. (2015). Collaborative problem solving tasks. Educational Assessment in an Information Age, 85-104. https://doi.org/10.1007/978-94-017-9395-7_4

Carlana, M. (2019). Implicit Stereotypes: Evidence from Teachers’ Gender Bias. The Quarterly Journal of Economics, 134(3), 1163–1224, 10.1093/qje/qjz008

Chan, M. Ch. E., & Clarke, D. (2017). Structured affordances in the use of open-ended tasks to facilitate collaborative problem solving. ZDM Mathematics Education, 49, 951–963. https://doi.org/10.1007/s11858-017-0876-2

Chung, Y., Yoo, J., Kim, S., Lee, H., & Zeidler, D. L. (2016). Enhancing students’ communication skills in the science classroom through socioscientific issues. International Journal of Science and Mathematics Education, 14, 1-27. https://doi.org/10.1007/s10763-014-9557-6

Clark, H. H. (1996). Using language. Cambridge MA: Cambridge University Press.

Cooke, N. J., Kiekel, P. A., Salas, E., Stout, R., Bowers, C., & Cannon-Bowers, J. (2003). Measuring team knowledge: A window to the cognitive underpinnings of team performance. Group Dynamics: Theory, Research, and Practice, 7(3), 179–199. https://doi.org/10.1037/1089-2699.7.3.179

Darling-Hammond, L., Hyler, M. E., & Gardner, M. (2017). Effective teacher professional development. Palo Alto, CA: Learning Policy Institute. https://doi.org/10.54300/122.311

DiDonato, N. C. (2013). Effective self- and co-regulation in collaborative learning groups: An analysis of how students regulate problem solving of authentic interdisciplinary tasks. Instructional Science, 41, 25–47. https://doi.org/10.1007/s11251-012-9206-9

Dowell, N. M., Lin, Y., Godfrey, A., & Brooks, C. (2020). Exploring the Relationship between Emergent Sociocognitive Roles, Collaborative Problem-Solving Skills, and Outcomes: A Group Communication Analysis. Journal of Learning Analytics, 7(1), 38-57. https://doi.org/10.18608/jla.2020.71.4

Dreher, A., & Kuntze, S. (2015). Teachers’ professional knowledge and noticing: The case of multiple representations in the mathematics classroom. Educational Studies in Mathematics, 88, 89–114. https://doi.org/10.1007/s10649-014-9577-8

Erduran, S., Simon, S., & Osborne, J. (2004). TAPping into Argumentation: Developments in the Application of Toulmin’s Argument Pattern for Studying Science Discourse. Science Education, 88(6), 915-933. https://doi.org/10.1002/sce.20012

Fiore, S. M., Carter, D. R., & Asencio, R. (2015). Conflict, trust, and cohesion: Examining affective and attitudinal factors in science teams. In E. Salas, W. B. Vessey & A. X. Estrada (Eds.), Team Cohesion: Advances in Psychological Theory, Methods and Practice, 271-301. Emerald Group Publishing Limited. https://doi.org/10.1108/s1534-085620150000017011

Gentrup, S., & Rjosk, C. (2018). Pygmalion and the gender gap: do teacher expectations contribute to differences in achievement between boys and girls at the beginning of schooling? Educational Research and Evaluation, 24(3-5), 295-323, https://doi.org/10.1080/13803611.2018.1550840

Goffman, E. (1972). Interaction ritual: Essays on face-to-face behavior. Harmondsworth, Middlesex: Penguin University Books.

Graesser, A. C., Fiore, S. M., Greiff, S., Andrews-Todd, J., Foltz, P. W., & Hesse, F. W. (2018). Advancing the science of collaborative problem solving. Psychological Science in the Public Interest, 19(2), 59-92. https://doi.org/10.1177/1529100618808244

Griffin, P., & Care, E. (2015). Assessment and teaching of 21st century skills: Methods and approach. Educational Assessment in an Information Age. https://doi.org/10.1007/978-94-017-9395-7

Gu, X., Chen, S., & Zhu, W. (2015). An intervention framework designed to develop the collaborative problem-solving skills of primary school students. Education Tech Research Dev, 63, 143–159. https://doi.org/10.1007/s11423-014-9365-2

Hesse, F., Care, E., Buder, J., Sassenberg, K., & Griffin, P. (2015). A framework for teachable collaborative problem solving skills. In P. Griffin and E. Care (Eds.), Assessment and teaching of 21st century skills: Methods and approach. Educational Assessment in an Information Age, 37-56. https://doi.org/10.1007/978-94-017-9395-7_2

Lampert, M. (1990). When the problem is not the question and the solution is not the answer: Mathematical knowing and teaching. American educational research journal, 27(1), 29-63. https://doi.org/10.3102/00028312027001029

Laughlin, P. R. (2013). Group problem solving. Princeton University Press.

Law, V., Ge, X., & Eseryel, D. (2016). The Development of a Self-regulation in a Collaborative Context Scale. Tech Know Learn, 21, 243–253. https://doi.org/10.1007/s10758-016-9274-z

Linzer, D. A., & Lewis, J. B. (2011). An R package for polytomous variable latent class analysis. Journal of statistical software, 42(10), 1-29. https://doi.org/10.18637/jss.v042.i10

Marchant, P., Cornejo, C., & Felmer, P. (2022). Student Insights in Mathematics Problem Solving: Cognition, Affect, and Gesture. Int J of Sci and Math Educ. https://doi.org/10.1007/s10763-022-10270-w

Mayer, R. E. (1992). Thinking, problem solving, cognition. WH Freeman/Times Books/Henry Holt & Co.

Müller, A., Bellhäuser, H., Konert, J., & Röpke, R. (2021). Effects of group formation on student satisfaction and performance: a field experiment. Small Group Research, (2), 244-273. https://doi.org/10.1177/1046496420988592

OCDE. (2017). PISA 2015 Collaborative problem solving Framework, PISA, OCDE Publishing, Paris. https://www.oecd.org/pisa/pisaproducts/Draft%20PISA%202015%20Collaborative%20Problem%20Solving%20Framework%20.pdf

Pekrun, R. (2019). Achievement emotions: A control-value theory perspective. In R. Patulny, A. Bellocchi, R. E. Olson, S. Khorana, J. McKenzie. & M. Peterie (Eds.), Emotions in late modernity,142–157. Routledge/Taylor & Francis Group. https://doi.org/10.4324/9781351133319-13

Peterson, R. S., & Behfar, K. J. (2004). Leadership as group regulation. In The psychology of leadership, 157-178. Psychology Press.

Pruner, M., & Liljedahl, P. (2021). Collaborative problem solving in a choice-affluent environment. ZDM–Mathematics Education, 1-18. https://doi.org/10.1007/s11858-021-01232-7

Recber, S., Isiksal, M., & Koc, Y. (2017). Investigando la autoeficacia, la ansiedad, las actitudes y los logros de las matemáticas con respecto al género y el tipo de escuela. Anales de Psicología, 34(1), 41–51. https://doi.org/10.6018/analesps.34.1.229571

Roschelle, J. & Teasley, S. D. (1995). The Construction of Shared Knowledge in Collaborative Problem Solving. Computer Supported Collaborative Learning, 69–97. https://doi.org/10.1007/978-3-642-85098-1_5

Saadati, F., Chandia, E., Cerda, G. (2021). Self-efficacy, practices, and their relationships; the impact of a professional development program for mathematics teachers. J Math Teacher Educ. https://doi.org/10.1007/s10857-021-09523-2

Scardamalia, M. (2002). Collective cognitive responsibility for the advancement of knowledge. Liberal education in a knowledge society, 97, 67-98.

Smith, J. M., & Mancy, R. (2018). Exploring the relationship between metacognitive and collaborative talk during group mathematical problem-solving – what do we mean by collaborative metacognition?. Research in Mathematics Education, 20(1), 14-36. https://doi.org/10.1080/14794802.2017.1410215

Scoular, C., & Care, E. (2020). Monitoring patterns of social and cognitive student behaviors in online collaborative problem solving assessments. Computers in Human Behavior, 104, 105-874. https://doi.org/10.1016/j.chb.2019.01.007

Stadler, M., Herborn, K., Mustafić, M. & Greiff, S. (2020). The assessment of collaborative problem solving in PISA 2015: An investigation of the validity of the PISA 2015 CPS tasks. Computers & Education, 157, 103-964. https://doi.org/10.1016/j.compedu.2020.103964

Stasser, G., & Abele, S. (2020). Collective choice, collaboration, and communication. Annual Review of Psychology, 71, 589-612. https://doi.org/10.1146/annurev-psych-010418-103211

Stein, M. K., Engle, R. A., Smith, M. S., & Hughes, E. K. (2008). Orchestrating productive mathematical discussions: Five practices for helping teachers move beyond show and tell. Mathematical Thinking and Learning: An International Journal, 10(4), 313-340. https://doi.org/10.1080/10986060802229675

Tang, P., Liu, H., & Wen, H. (2021, April). Factors Predicting Collaborative Problem Solving: Based on the Data From PISA 2015. In Frontiers in Education, 6, 130. Frontiers. https://doi.org/10.3389/feduc.2021.619450

Trilling, B., & Fadel, C. (2009). 21st century skills: Learning for life in our times. John Wiley & Sons.

Trötschel, R., Hüffmeier, J., Loschelder, D. D., Schwartz, K., & Gollwitzer, P. M. (2011). Perspective taking as a means to overcome motivational barriers in negotiations: When putting oneself into the opponent's shoes helps to walk toward agreements. Journal of personality and social psychology, 101(4), 771. https://doi.org/10.1037/a0023801

UNESCO. (2017). Report E2030: Education and skills for the 21st century. Regional Meeting of Ministers of Education of Latin America and the Caribbean, Buenos Aires, Argentina. http://www.unesco.org/new/fileadmin/MULTIMEDIA/FIELD/Santiago/pdf/Meeting-Report-Buenos-Aires-2017-E2030-LAC-ENG.pdf

Van Knippenberg, D., & Schippers, M. C. (2007). Work group diversity. Annual Review of Psychology, 58, 515–541. https://doi.org/10.1146/annurev.psych.58.110405.085546

Von Davier, A. A., Zhu, M. & Kyllonen, P. C. (Eds.). (2017). Innovative assessment of collaboration. Springer.

Webb, N. M., Ing, M., Burnheimer, E., Johnson, N. C., Franke, M. L., & Zimmerman, J. (2021). Is there a right way? Productive patterns of interaction during collaborative problem solving. Education Sciences, 11(5), 214. https://doi.org/10.3390/educsci11050214

Zhuang, X., MacCann, C., Wang, L., Liu, L., & Roberts, R. D. (2008). Development and validity evidence supporting a teamwork and collaboration assessment for high school students. ETS Research Report Series, (2), i-51. https://doi.org/10.1002/j.2333-8504.2008.tb02136.x

Publicado

2022-11-01

Cómo citar

Habilidades cognitivas y sociales en la resolución de problemas matemáticos de forma colaborativa. (2022). Uniciencia, 36(1), 1-26. https://doi.org/10.15359/ru.36-1.50

Número

Sección

Artículos científicos originales (arbitrados por pares académicos)

Cómo citar

Habilidades cognitivas y sociales en la resolución de problemas matemáticos de forma colaborativa. (2022). Uniciencia, 36(1), 1-26. https://doi.org/10.15359/ru.36-1.50

Comentarios (ver términos de uso)

Artículos más leídos del mismo autor/a

<< < 1 2 3 4 5 6 7 8 9 10 > >>