El applet como un recurso para la reflexión en la resolución de problemas geométricos
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Abstract
Este artículo utiliza una aproximación documental para explorar las maneras en las que un applet podría facilitar la reflexión acerca del uso de recursos matemáticos como conceptos y teoremas, durante la resolución de problemas geométricos no rutinarios. Se presenta un estudio cualitativo que investigó las maneras en que un applet diseñado en Geogebra ayudaba a que una pareja de futuros profesores de educación Secundaria reflexionara sobre su uso de ciertos recursos matemáticos involucrados en el problema planteado, tales como el teorema de Pitágoras para triángulos rectángulos, un ángulo, la bisectriz, el área de un círculo, un segmento. El estudio tuvo dos etapas: la primera consistió en resolver el problema, planteado por el investigador, en papel-y-lápiz y la segunda, en resolver el mismo problema apoyándose en un applet. La videograbación de estas etapas fue triangulada con una entrevista semi-estructurada. El análisis de estos datos mostró la presencia de los 2 procesos inmersos en la génesis documental: instrumentalización e instrumentación, en este último proceso se aprecia el surgimiento de la reflexión en los estudiantes cuando está presente el applet.
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