Saber suficiente no es suficiente : comportamientos metacognitivos al resolver problemas de demostración con el apoyo de la geometría dinámica.
| dc.contributor.author | Sua Flórez, Camilo | spa |
| dc.date.accessioned | 2021-08-02T16:54:46Z | |
| dc.date.available | 2021-08-02T16:54:46Z | |
| dc.date.issued | 2019-03-05 | |
| dc.description.abstract | Los problemas de demostración demandan poner en juego distintos conocimientos y habilidades instrumentales cuando se cuenta con apoyo de la geometría dinámica. Sin embargo, como se muestra en este documento, el conjunto de conocimientos de un individuo y su grado de instrumentalización del software no son los únicos aspectos relevantes en el proceso de resolución o en la naturaleza de la respuesta obtenida. Apoyados en dos grupos de estudiantes para profesor de matemáticas con un nivel de formación matemática distinta, mostramos qué aspectos metacognitivos como el control, la regulación y la evaluación de las acciones ejecutadas se convierten en elementos que pueden llevar a un grupo, con un conocimiento matemático reducido, a obtener mejores resultados que un grupo con un conocimiento profundo de la disciplina. Mostramos cómo el trabajo grupal y el uso de la geometría dinámica inciden positivamente en el proceso de resolución y favorecen aspectos de orden metacognitivo. | spa |
| dc.description.abstractenglish | Proof problems demand to put into play different knowledge and instrumental skills when it is suppor-ted by dynamic geometry. However, as we show in this paper, an individual’s set of knowledge and the degree of instrumentalization of the software are not the only relevant aspects in the resolution process or in the nature of the response obtained. Supported in two groups of mathematics pre-service teacher with a different level of mathematical training, we show that metacognitive aspects such as control, regulation and evaluation of executed actions become elements that can lead to a group, with mathematical knowledge reduced, to obtain better results than a group with a deep knowledge of the discipline. We show how group work and the use of dynamic geometry have a positive effect on the resolution process and promote metacognitive aspects. | eng |
| dc.format.mimetype | application/pdf | spa |
| dc.format.mimetype | text/xml | spa |
| dc.identifier | https://revistas.upn.edu.co/index.php/TED/article/view/9838 | |
| dc.identifier | 10.17227/ted.num45-9838 | |
| dc.identifier.issn | 2323-0126 | |
| dc.identifier.issn | 2665-3184 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.12209/16215 | |
| dc.language.iso | spa | |
| dc.publisher | Editorial Universidad Pedagógica Nacional | spa |
| dc.relation | https://revistas.upn.edu.co/index.php/TED/article/view/9838/7147 | |
| dc.relation | https://revistas.upn.edu.co/index.php/TED/article/view/9838/8636 | |
| dc.relation.references | Baxter, P. y Jack, S. (2008). Qualitative case study methodology: Study design and implementation for novice researchers. The Qualitative Report, 13(4), 544-559. https://doi.org/http://dx.doi.org/9771682584003-32963 | eng |
| dc.relation.references | Cai, J. (1994). A protocol-analytic study of metacognition in mathematical problem solving. Mathematics Education Research Journal, 6(2), 166-183. https://doi.org/10.1007/BF03217270 | eng |
| dc.relation.references | Chiu, M. M., Jones, K. A. y Jones, J. L. (2013). Building on Schoenfeld’s studies of metacognitive control towards social metacognitive control. En Y. Li y J. Moschkovich (eds.), Proficiency and beliefs in learning and teaching mathematics: Learning from Alan Schoenfeld and Günter Törner (pp. 69-85). Róterdam: Sense Publishers. https://doi.org/10.1007/978-94-6209-299-0 | eng |
| dc.relation.references | Erbas, A. K. y Okur, S. (2012). Researching students’ strategies, episodes, and metacognitions in mathematical problem solving. Quality and Quantity, 46(1), 89-102. https://doi.org/10.1007/s11135-010-9329-5 | eng |
| dc.relation.references | Furinghetti, F. y Morselli, F. (2009). Every un-successful problem solver is unsuccessful in his or her own way: Affective and cognitive factors in proving. Educational Studies in Mathematics, 70(1), 71-90. https://doi.org/10.1007/s10649-008-9134-4 | eng |
| dc.relation.references | Hanna, G. (2000). Proof, explanation and exploration: An overview. Educational Studies in Mathematics, 44(1-3), 5-23. https://doi.org/10.1023/A:1012737223465 | eng |
| dc.relation.references | Karsli, T. A. (2015). Relation among meta-cogntition level, decision making, problem solving and locus of control in a Turkish adolescent population. Procedia–Social and Beha-vioral Sciences, 205, 35-42. https://doi.org/10.1016/j.sbspro.2015.09.008 | eng |
| dc.relation.references | Kim, Y. R., Park, M. S., Moore, T. J. y Varma, S. (2013). Multiple levels of metacognition and their elicitation through complex problem-solving tasks. Journal of Mathema-tical Behavior, 32(3), 377-396. https://doi.org/10.1016/j.jmathb.2013.04.002 | eng |
| dc.relation.references | Koichu, B. y Leron, U. (2015). Proving as problem solving: The role of cognitive decoupling. Journal of Mathematical Behavior, 40, 233-244. https://doi.or-g/10.1016/j.jmathb.2015.10.005 | eng |
| dc.relation.references | Kuzle, A. (2015). Nature of metacognition in a dynamic geometry environment.Lumat, 3(5), 627-646. | eng |
| dc.relation.references | Lin, X. y Sullivan, F. R. (2008). Computer contexts for supporting metacognitive learning. En J. Voogot y G. Knezek (eds.), International handbook of information technology in primary and secondary education (pp. 281-298). Boston: Springer. https://doi.org/10.1007/978-0-387-73315-9_17 | eng |
| dc.relation.references | Marrades, R. y Gutiérrez, Á. (2000). Proofs produced by secondary school students learning geometry in a dynamic computer environment. Educational Studies in Mathematics, 44(1-3), 87-125. https://doi.org/10.1023/A:1012785106627 | eng |
| dc.relation.references | Nunokawa, K. (2010). Proof, mathematical problem-solving, and explanation in mathematics teaching. En G. Hanna, H. N. Jahnke y H. Pulte (eds.), Explanation and proof in mathematics: philosophical and educational perspectives (pp. 223-236). Boston: Springer. https://doi.org/10.1007/978-1-4419-0576-5_15 | eng |
| dc.relation.references | Perry, P., Samper, C., Camargo, L. y Molina, O. (2013). Innovación en un aula de geometría de nivel universitario. En Geometría plana: un espacio de aprendizaje(pp. 11-34). Bogotá: Fondo Editorial Universidad Pedagógica Nacional. | spa |
| dc.relation.references | Raes, A., Schellens, T., De Wever, B. y Benoit, D. F. (2016). Promoting metacognitive regulation through collaborative problem solving on the web: When scripting does not work. Computers in Human Behavior, 58, 325-342. https://doi.or-g/10.1016/j.chb.2015.12.064 | eng |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | |
| dc.rights.accessrights | http://purl.org/coar/access_right/c_abf2 | |
| dc.rights.creativecommons | Attribution-NonCommercial 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc/4.0 | |
| dc.source | Tecné, Episteme y Didaxis: TED; Núm. 45 (2019): ene-jun; 121-142 | spa |
| dc.source | Tecné, Episteme y Didaxis: TED; No. 45 (2019): ene-jun; 121-142 | spa |
| dc.source | Tecné, Episteme y Didaxis: TED; n. 45 (2019): ene-jun; 121-142 | spa |
| dc.subject | Geometría dinámica | spa |
| dc.subject | Resolución de problemas | spa |
| dc.subject | Problemas de demostración | spa |
| dc.subject | Metacognición | spa |
| dc.subject.keywords | Problem solving | eng |
| dc.subject.keywords | Dynamic geometry | eng |
| dc.subject.keywords | Metacognition | eng |
| dc.subject.keywords | Proof problems | eng |
| dc.title | Saber suficiente no es suficiente : comportamientos metacognitivos al resolver problemas de demostración con el apoyo de la geometría dinámica. | spa |
| dc.title.translated | Knowing enough is not enough: metacognitive behaviors when solving proof problems with the support of dynamic geometry. | eng |
| dc.type.coar | http://purl.org/coar/resource_type/c_6501 | eng |
| dc.type.driver | info:eu-repo/semantics/article | eng |
| dc.type.local | Artículo de revista | spa |
| dc.type.version | info:eu-repo/semantics/publishedVersion |