Conjeturación del teorema del valor medio para derivadas: Un acercamiento desde la detección de invariantes en dispositivos móviles con GeoGebra
DOI:
https://doi.org/10.17981/cultedusoc.12.1.2021.05Palabras clave:
Aprendizaje móvil, Conjeturación, GeoGebra, Teorema del valor medio para derivadasResumen
Este artículo presenta los resultados de un proyecto de investigación cuyo objetivo fue describir el papel mediador de la aplicación móvil “Calculadora Gráfica” de GeoGebra sobre los procesos de conjeturación del teorema del valor medio para derivadas mediante la detección de invariantes a través de herramientas de arrastre, combinando geometría dinámica con cálculo infinitesimal. A través de un estudio de caso cualitativo, que involucró estudiantes de Ingeniería Aeronáutica, se dinamizaron los esfuerzos investigativos con el propósito de validar la hipótesis relacionada con una influencia positiva de una estrategia de aprendizaje móvil sobre el proceso de conjeturación en un curso de Cálculo Diferencial. Los resultados obtenidos permitieron evidenciar avances significativos en la conjeturación del teorema mencionado para la resolución de problemas en ingeniería y se discute cómo este tipo de recursos digitales, a través de un entorno de geometría dinámica en dispositivos móviles, puede servir como mediación para favorecer el aprendizaje del cálculo.
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