Modelación y Tecnología en el Estudio de la Tasa de Variación Instantánea en Matemáticas

Abstract

© 2018, Centro de Informacion Tecnologica. This paper presents the results of a study aimed to recognize the contributions that contexts and digital technologies offer to the understanding of the instantaneous rate of change as a means for approximating to the concept of derivative in the study of mathematics. It was possible to observe through documents, interviews and video recordings, that phenomena modelled and digital technologies are not neutral in the understanding of this mathematical object. The results show that situations in which the rate of change may be associated with magnitudes, in contexts and experiences of the subjects, contribute to move from the understanding of the average rate of change to the understanding of the instantaneous rate of change. This study suggests that it is necessary to design environments that encourage students to face modelling experiences with technology in which mathematical objects could have a diversity of meanings and interpretations.