Experimental mathematics: using Geogebra for solving a problem of rate of change
Abstract
This paper describes the design and experimentation of a classic problem of differential calculus, which is proposed to students in the engineering classroom at the University of Santander, Bucaramanga, Colombia. Through a practice of experimental mathematics, using the dynamic geometry software, Geogebra, we want to determine the solution of the problem, whose main objective is promote the processes of visualization to contextualize the problem of rate of change and turn it into a concrete, affordable and palpable problem the student
Visitas al artículo
Downloads
References
Acosta, E., Mejía, C., & Rodríguez, W. (2011). Resolución de problemas por medio de matemática experimental: uso de software de geometr´ıa din´amica para la construcci´on de un lugar geom´etrico desconocido”, Revista Integraci´on, 29 (2), pp. 163-174.
Bailey, H. & Borwein, J. (2003). ”Sample Problems of Experimental Mathematics”. Recuperado de http://www.experimentalmath.info/books/expmath-probs.pdf
Bailey, H. & Borwein, J. (2005). ”Experimental mathematics: Examples, Methods and Implications”, Notices of the AMS, 52 (5), pp. 502-514.
Banegas, J. (2006). Razonamientos no rigurosos y demostraciones asistidas por ordenador”, Revista contraste, 12 (1), pp. 27-50. Recuperado de http://www.uma.es/contrastes/pdfs/012/02jesusalcolea.pdf
Borwein J. et al. (2004). Experimentation in mathematics, computational paths to discovery. A.K. Peters. USA
Jacovkis, P. M. (2005). C¸ omputadoras, modelizaci´on matem´atica y ciencia experimental”, Revista CTS, 2
(5), pp. 51-63. Thomas, R. (1998). ”An Update on the Four-Color Theorem”. Notices of the American Mathematical Society 45 (7): 848859