Metacognitive strategies in mathematical modelling activities: structuring an identification instrument
Tipo de documento
Autores
Lista de autores
Werle, Lourdes y Velozo, Élida
Resumen
The paper aims to propose an instrument to identify students’ metacognitive strategies in mathematical modelling activities. The items were designed from a review regards metacognition and instrumensts already recognised in literature. This design comprises an instrument that differs from others in which the data were the self-reported students’ use of metacognitive strategies. The instrument we propose is aimed at the teacher and it is he/she who, based on an analytical process, will infer whether the students use metacognitive strategies in modelling activities. An empirical research was realized and five modelling problems were solved by students of a mathematics degree. The analysis addressed the groups actions and the individual behaviour within the group when working on modelling processes. The results allow to conclude working successfully and in a goal-oriented manner on modelling problems requires metacognitive strategies and the instrument seems to be adequate for the teacher to identify these students' strategies.
Fecha
2023
Tipo de fecha
Estado publicación
Términos clave
Comprensión | Inicial | Metacognición | Modelización | Resolución de problemas
Enfoque
Idioma
Revisado por pares
Formato del archivo
Usuario
Referencias
Almeida, L. M. W. (2018). Considerations on the use of mathematics in modeling activities. Google Scholar ZDM, 50(1), 19-30. Google Scholar Blum, W. (2009). Can modelling be taught and learnt? Some answers from empirical Google Scholar research. Journal of Mathematical Modelling and Application. 1(1) 45-58 Google Scholar Blum, W. (2015). Quality teaching of mathematical modelling: What do we know, what can Google Scholar we do? In The proceedings of the 12th international congress on mathematical education Google Scholar pp. 73-96. Springer, Cham. Google Scholar Brown, A. (1987). Metacognition, executive control, self-regulation, and other more Google Scholar mysterious mechanisms. In: F. E. Weinert & R. Kluwe (Orgs.) Metacognition, motivation, Google Scholar and understanding, pp. 1-16. Google Scholar Carreira, S., Baioa, A. M., & Almeida, L. M. W. (2020). Mathematical models and meanings Google Scholar by school and university students in a modelling task. Avances de investigación en Google Scholar educación matemática, 17(1), 67-83. Google Scholar Castro, E. M. V. & Almeida, L. M. W. (2023). Estratégias metacognitivas de estudantes Google Scholar brasileiros em atividades de modelagem matemática. Revista Actualidades Investigativas Google Scholar en Educación, 23(1), 1-26. Doi. https://doi.org/10.15517/aie.v23i1.51512 Google Scholar Crossref Cevikbas, M.; Kaiser, G. & Schukajlow, S. (2022). A systematic literature review of the Google Scholar current discussion on mathematical modelling competencies: state-of-the-art developments Google Scholar in conceptualizing, measuring, and fostering. Educational Studies in Mathematics, 109(2), Google Scholar -236. Google Scholar Desoete, A. & De Craene, B. (2019). Metacognition and mathematics education: an Google Scholar overview. ZDM, 51(4), 565–575. https://doi.org/10.1007/s11858-019-01060-w Google Scholar Crossref Flavell, J. H. (1976). Metacognitive aspects of problem solving. In L. B. Resnick (Ed.), The Google Scholar nature of intelligence. Hillsdale, NJ: Erlbaum, (pp. 231-235), 1976. Google Scholar Fredj, P. & Vos, P. (2022). A commentary on the Special Issue “Innovations in measuring Google Scholar and fostering mathematical modelling competencies”. Educational Studies in Google Scholar Mathematics, 109 (2), 455-468. Google Scholar Frenken, L. (2021). Measuring students’ metacognitive knowledge of mathematical Google Scholar modelling. In: Mathematical modelling education in east and west. Springer, Cham. pp. Google Scholar -225. Google Scholar Harris, K. R., Santangelo, T., & Graham, S. (2010). Metacognition and strategies instruction Google Scholar in writing. Metacognition, strategy use, and instruction, 226-256. Google Scholar Hidayat, R., Zamri, S. N. A. S., Zulnaidi, H., & Yuanita, P. (2020). Meta-cognitive behaviour Google Scholar and mathematical modelling competency: mediating effect of performance goals. Heliyon, Google Scholar (4), e03800. Google Scholar Hidayat, R., Zulnaidi, H., & Syed Zamri, S. N. A. (2018). Roles of metacognition and Google Scholar achievement goals in mathematical modelling competency: A structural equation Google Scholar modeling analysis.PloS one, 13(11), e0206211. Google Scholar Kim, Y. R., Park, M. S., Moore, T. J., & Varma, S. (2013). Multiple levels of metacognition Google Scholar and their elicitation through complex problem-solving tasks. The Journal of Mathematical Google Scholar Behavior, 32(3), 377-396. Google Scholar REDIMAT – Journal of Research in Mathematics Education, 12(3) Google Scholar Magiera, M. T., & Zawojewski, J. S. (2019). Principles for Designing Research Settings to Google Scholar Study Spontaneous Metacognitive Activity. In Affect in Mathematical Modeling (pp. 53- Google Scholar . Springer, Cham. Google Scholar Mahdavi, M. (2014). An overview: Metacognition in education. International Journal of Google Scholar Multidisciplinary and current research, 2(6), 529-535. Google Scholar Paris, S. G., Cross, D. R., & Lipson, M. Y. (1983). Informed strategies for learning: A Google Scholar program to improve children's reading awareness and comprehension. Journal of Google Scholar Educational psychology, 76(6), 1239. Google Scholar Pollak, H. (2015). Where Does Mathematical Modeling Begin? A Personal Remark. In Google Scholar Werner Blum und seine Beiträge zum Modellieren im Mathematikunterricht (pp. 277-279). Google Scholar Springer Spektrum, Wiesbaden. Google Scholar Pressley, M., Forrest-Pressley, D. L., Elliott-Faust, D., & Miller, G. (1985). Children’s use of Google Scholar cognitive strategies, how to teach strategies, and what to do if they can’t be taught. In Google Scholar Cognitive learning and memory in children (pp. 1-47). Springer, New York, NY. Google Scholar Price-Mitchell, M. (2020). Millenials reflect on social networking. Psychology Today. Google Scholar Marilyn Price-Mitchell. https://www. psychologytoday. com/us/blog/themomentyouth/201406/millennials-reflect-social-networking. Accessed, 1. Accessed Google Scholar september 10, 2021. Google Scholar Rosa, C. T. W. (2017). Instrumento para avaliação do uso de estratégias metacognitivas nas Google Scholar atividades experimentais de Física. Revista Thema, 14(2), 182-193. Google Scholar Sharma, S. (2013). Qualitative approaches in mathematics education research: Challenges Google Scholar and possible solutions. Education Journal, 2(2), 50-57. doi: 10.11648/j.edu.20130202.14 Google Scholar Schraw, G., & Moshman, D. (1995). Metacognitive theories. Educational psychology review, Google Scholar (4), 351-371. Google Scholar Schraw, G., & Dennison, R. S. (1994). Assesing Metacognitive Awareness. Contemporary Google Scholar Educational Pschology, 19, 460–475. Google Scholar Schneider, W., & Artelt, C. (2010). Metacognition and mathematics education. ZDM, 42(2), Google Scholar -161. Google Scholar Stillman, G. (2011). Applying metacognitive knowledge and strategies in applications and Google Scholar modelling tasks at secondary school. Trends in teaching and learning of mathematical Google Scholar modelling, 165-180. Google Scholar Torregrosa, A., Deulofeu Piquet, J., & Albarracin Gordo, L. (2020). Caracterización de Google Scholar procesos metacognitivos en la resolución de problemas de numeración y patrones Google Scholar matemáticos. Educacion Matematica, 32(3), 0002. Google Scholar Vertuan, R. E., & Almeida, L. M. W. D. (2016). Práticas de monitoramento cognitivo em Google Scholar atividades de modelagem Matemática. Bolema, 30(1), 1070-1091. Google Scholar Vorhölter, K. (2018). Conceptualization and measuring of metacognitive modelling Google Scholar competencies: Empirical verification of theoretical assumptions. Zdm, 50(1), 343-354. Google Scholar Vorhölter, K. (2019). Enhancing metacognitive group strategies for modelling. ZDM, 51(4), Google Scholar -716. Google Scholar Vorhölter, K. (2017). Measuring metacognitive modelling competencies. In Mathematical Google Scholar Modelling and Applications (pp. 175-185). Springer, Cham. Google Scholar Werle de Almeida & Velozo de Castro – Metacognitive Strategies 228 Google Scholar Vorhölter, K., & Kaiser, G. (2016). Theoretical and pedagogical considerations in promoting Google Scholar students' metacognitive modeling competencies. National Council of Teachers of Google Scholar Mathematics. Google Scholar Vorhölter, K., & Krüger, A. (2021). Metacognitive strategies in modeling: Comparison of the Google Scholar results achieved with the help of different methods. Quadrante, 30(1), 178-197. Google Scholar Vorhölter, K., Krüger, A., & Wendt, L. (2020). Metacognition in mathematical modeling–An Google Scholar overview. In: S. A. Chamberlin; B. Sriraman (Org). Affect in mathematical modeling, Google Scholar Springer, Cham, 29-51. Google Scholar Vygotsky, L. S. (1997). Educational psychology (R. Silverman, Trans.). Boca Raton, FL: St. Google Scholar Lucie, 173. Google Scholar Yildirim, T. P. (2010). Understanding the Modeling Skill Shift in Engineering: The Impace of Google Scholar Self-Efficacy, Epistemology, and Metacognition. Doctoral Dissertation, University of Google Scholar Pittsburgh. Google Scholar
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