A dynamic model for the study of school Performance

Authors

DOI:

https://doi.org/10.22481/intermaths.v2i1.8079

Keywords:

Mathematical Modeling, Differential Equations, Academic Performance Indices

Abstract

A new methodology is introduced to measure school performance based on a mathematical model of Ordinary Differential Equations (ODEs). Three indexes are proposed that describe long--term school performance. The ODEs model is applied to students of a generation of basic--level, the values of the model's parameters are estimated using the numerical scores of the considered students obtained at the time of their training. This describes the dynamics of long--term school performance, which allows to give a measure of the impact of some educational policy.

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References

E.Avila, “La actividad del psicólogo en el diseño, planeación y desarrollo de un centro de desarrollo infantil”, tesis de licenciatura, U.N.A.M. México, 2004.

Y. Bard, Nonlinear parameter estimation, Academic Press, 1974.

O. Retana, “Psicoinforma Definición de rendimiento escolar. Disponible”en: www.psicopedagogia. con/definicion/rendimiento%20escolar (2012) (Consultado en 28 noviembre 2020).

M.P.Garrido, “RedsocialeducativaTeoríadelaprendizajesocialdeBandura”en: https://redsocial.rededuca.net/teor-del-aprendizaje-social-de-bandura#:~:text=Albert%20Bandura%20es%20un%20psic%C3%B3logo,conocida%20como%20Teor%C3%ADa%20Cognoscitiva%20Social (2015) (Consultado en 28 noviembre 2020).

C.T. Kelley, Direct SearchAlgorithms, Chapter 8 in Iterative Methods for Optimization, SIAM, 1999. https://doi/book/10.1137/1.9781611970920

J. J. Moré, “The Levenberg-Marquardt algorithm: Implementation and Theory”, in Watson, G.A. (ed.), Numerical Analysis, Proc. Biennial Dundee Conf. 1977, Springer, pp. 105-116, 1978. https://doi.org/10.1007/BFb0067700

P. Narvaez, S. Oyola, S., “Influencia del contexto social en el rendimiento académico de los estudiantes de grado 7-1 en la institución técnica Antonio Nariño Fe y la alegría de la ciudad Ibague”, tesis de maestría, Ibague–Tolima, Universidad de Tolima, Bogotá, 2015.

L. F. Shampine, M. W. Reichelt, “The Matlab ODE Suite”, SIAM J. Sci. Comput., vol 18, no. 1, pp. 1–22, 1997. http://doi.org/10.1137/s1064827594276424

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Published

2021-06-30

How to Cite

Manrique Mirón, P. C., Ávila Zamorano E. ., López Estrada J., & Nader Kawachi, J. (2021). A dynamic model for the study of school Performance. INTERMATHS, 2(1), 3-20. https://doi.org/10.22481/intermaths.v2i1.8079

Issue

Vol. 2 No. 1 (2021)

Section

Artigos

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