Aprendizaje de las ecuaciones diferenciales desde un enfoque cualitativo
Abstract
The objective of this research was to design and validate a didactic model for learning differential equations with emphasis on qualitative methods and based on the quasi-empirical conception of mathematics. A qualitative methodology was used, five engineering students from Antonio Nariño University belonging to a course of differential equations participated. Class plans were used as instruments. The results obtained show that students feel motivated and interested, it was observed that the methodology applied based on problem solving, using conjectures from the construction of the model to reach the final solution and the use of technology to study qualitative methods and numerical favors the understanding of the course contents. The didactic model offers a route and resources that promote mathematical activity in the courses of differential equations and that can be replicated in other courses.
Keywords
español
References
Delshams, A. (2005). POINCARÉ, Creador De Los Métodos Todavía Modernos En Las Ecuaciones Diferenciales y La Mecanica Celeste. Arbor Ciencia Pensamiento y Cultura, (pp. 43-59).
Lakatos, I. (1978). Pruebas y Refutaciones. Madrid: Alianza.
Mayorga, M. M. (2010). Modelos Didácticos y Estrategias de Enseñanza en el Espacio Europeo de Educación Superior. Tendencias Pedagógicas, (pp. 91-111).
Napoles, J. (2004). Un siglo de Teoría cualitativa de ecuaciones diferenciales. Lecturas Matemáticas, (pp. 59-111).
Polya, G. (1981). Mathematical Discovery: On understanding, learning and teaching problem solving. New York: Jhon Wiley and sons.
Posamentier, A. K. (1998). Problem Solving Estrategies For Efficient and Elegant Solutions. Thousand Oaks: Corwin press.
Rodriguez, R. (30 de Juio de 2019). Aprendizaje y enseñanza de la modelación: el caso de las ecuaciones diferenciales. Revista Latinoamericana de Investigación en Matemática Educativa, RELIME. Recuperado de http://www.redalyc.org/comocitar.oa?id=33529137013 ISSN 1665-2436
Sampieri, R., Fernandez, C., & Baptista, M. (1991). Metodología De La investigación. Mexico: McGraw Hill.
Schoenfeld, A. (1992). Learnin to think mathematically. New York: MacMillan.