Uses of Logistic and Generalized Linear Models to Describe the Social Outbreak in Colombia. What discussions are promoted in university students?
DOI:
https://doi.org/10.15665/encuent.v22i03-Julio-dic..3322Keywords:
Modeling, University Education, Logistics Function, Programming, Math, Regressions, critical mathematics educationAbstract
This article analyzes the use of mathematical models in statistics and mathematics undergraduate students at the Universidad del Valle to generate mathematical, technological and reflective discussions, when studying a model that describes some factors present in the social outburst occurred during 2021 in Colombia. Through qualitative methodology and case study, interviews conducted using Critical Mathematics Education and the socio-critical perspective of modeling were examined. The study of these factors was supported by the use of programming languages such as Python, Rstudio, Wolfram Alpha together with tools such as integral and differential calculus and differential equations. The results obtained show the different approaches to mathematical, technological and reflective discussions, which are related to the competences acquired during professional training; for each case, the particularities, applications, interpretations, evaluations and uses of mathematical models are detailed.
References
Agostinho, A., & Reis, P. (2021). Contributos educativos de exposições interativas on-line sobre imunidade como prática de ativismo coletivo em contexto de pandemia. Uni-Pluriversidad, 21(2), 1–22. https://doi.org/10.17533/udea.unipluri.346064
Barbosa, J. C. (2006). Mathematical modelling in classroom: a socio-critical and discursive perspective. ZDM - Mathematics Education, 38(3), 293–301. https://doi.org/10.1007/BF02652812
BARBOSA, JC Modelación Matemática y la Perspectiva Sociocrítica. En: SEMINARIO INTERNACIONAL DE INVESTIGACIÓN EN EDUCACIÓN MATEMÁTICA, 2., 2003, Santos, SP. Anais ..Santos, SP: SBM, 2003. p. 1-13. GT Modelado matemático. CD ROM.
Borromeo Ferri, R., Mena Lorca, J. J. F., y Mena Lorca, A. (2021). Fomento de la Educación-STEM y la Modelización Matemática para profesores.
Braun, V., Clarke, V., Hayfield, N., Terry, G. (2019). Thematic Analysis. In: Liamputtong, P. (eds) Handbook of Research Methods in Health Social Sciences. Springer, Singapore. https://doi.org/10.1007/978-981-10-5251-4_103
Carmona-Mesa, J. A., Cardona Zapata, M. E., & Castrillón-Yepes, A. (2020). Estudio de fenómenos físicos en la formación inicial de profesores de Matemáticas. Una experiencia con enfoque STEM. Uni-Pluriversidad, 20(1), e2020101. https://doi.org/10.17533/udea.unipluri.20.1.02
Cevikbas, M. (2022). Fostering Mathematical Modelling Competencies: A Systematic Literature Review. In Initiationen mathematikdidaktischer Forschung (pp. 51–73). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-36766-4_3
Christiansen, I. (1999). Reflexiones críticas sobre modelos matemáticos en la clase: ¿sueño o realidad? Revista EMA, 5(1), 29–50.
Christiansen, I. (2001). Critical Evaluation of Models in Relation to the Modelling Process. In J. F. Matos, W. Blum, K. Houston, & S. P. Carreira (Eds.), Modelling and Mathematics Education (pp. 391–400). Horwood Publishing. https://doi.org/10.1533/9780857099655.5.391
de Loiola Araújo, J. (2009). Uma Abordagem Sócio-Crítica da Modelagem Matemática: a perspectiva da educação matemática crítica. Alexandria: Revista de educação em ciência e tecnologia, 2(2), 55-68.
JACOBINI, O; WODEWOTZKI, MLL Una reflexión sobre la Modelación Matemática en el contexto de la Educación Matemática Crítica. Bolema , Río Claro, v. 19, núm. 25, pág. 71-88, 2006.
Kaiser, G. (2017). The Teaching and Learning of Mathematical Modeling. In J. Cai (Ed.), Compendium for Research in Mathematics Education (pp. 267–291). NCTM.
Méndez, A., & Aguilar, M. S. (2022). 4. Bringing the Debate over Marijuana Legalisation into the Mathematics Classroom. Landscapes Of Investigation, 57.
Niss, M., Blum, W., & Galbraith, P. (2007). Introduction. In W. Blum, P. Galbraith, W. Henn, & M. Niss (Eds.), Modelling and Applications in Mathematics Education (pp. 3–32). Springer US. https://doi.org/10.1007/978-0-387-29822-1_1
OREY, DC; ROSA, M. La dimensión crítica de la modelación matemática: la enseñanza para la eficiencia sociocrítica. Horizontes , Braganza Paulista, v. 25, núm. 2, pág. 197-206, julio/diciembre. 2007.
Parra-Zapata, M. M., Parra-Zapata, J. N., Ocampo-Arenas, M. C., & Villa-Ochoa, J. A. (2016). El Índice de Masa Corporal. Una experiencia de modelación y uso de modelos matemáticos para el aula de clase. Números. Revista de Didáctica de Las Matemáticas, 92, 21–33.
Pérez Andrés, C. (2002). Sobre la metodología cualitativa. Revista española de salud pública, 76, 373-380.
Sepúlveda, E., González-Gómez, D., & Villa-Ochoa, J. A. (2020). Analysis of a Mathematical Model. Opportunities for the Training of Food Engineering Students. Mathematics, 8(8), 1339. https://doi.org/10.3390/math8081339
Sepúlveda, E., González-Gómez, D., & Villa-Ochoa, J. A. (2020). Analysis of a Mathematical Model. Opportunities for the Training of Food Engineering Students. Mathematics, 8(8), 1339. https://doi.org/10.3390/math8081339
Silva, C. da, & Kato, L. A. (2012). Quais Elementos Caracterizam uma Atividade de Modelagem Matemática na Perspectiva Sociocrítica? Bolema: Boletim de Educação Matemática, 26(43), 817–838. https://doi.org/10.1590/S0103-636X2012000300004
Skovsmose, O. (2016). Critical mathematics education: Concerns, notions, and future. In The philosophy of mathematics education (pp. 9-12).
Skovsmose, O. (2020). Educación Matemática Crítica. En: Lerman, S. (eds) Enciclopedia de Educación Matemática. Springer, Cham. https://doi-org.bd.univalle.edu.co/10.1007/978-3-030-15789-0_34
Skovsmose, O. (2023). Crisis and Critique. In: Critical Mathematics Education. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-031-26242-5_6
Stake, R. (2013). Estudios de casos cualitativos. N. Denzin e Y. Lincoln (coords.), Las estrategias de investigación cualitativa (154-197). Barcelona: Gedisa.
Vasco, C. E. (2006). Pensamiento variacional, la modelación y las nuevas tecnología. In C. E. Vasco (Ed.), Didáctica de las matemáticas: artículos selectos (pp. 134–148). Universidad Pedagógica Nacional.
Villa-Ochoa, J. A., Sánchez-Cardona, J., & Parra-Zapata, M. M. (2022). Modelación matemática en la perspectiva de la educación matemática. In M. Rodríguez, M. Pochulu, & F. Espinoza (Eds.), Educación matemática. Aportes a la formación docente desde distintos enfoques teóricos (pp. 67–89). Ediciones Universidad Nacional de General Sarmiento.
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