THE INTRODUCTION OF DIGITAL RESOURCES IN HIGHER INSTITUTIONS OF TECHNOLOGICAL STUDIES: THE RESOLUTION EXAMPLE OF DIFFERENTIAL EQUATIONS IN MAPLE ENVIRONMENT

This paper presents a didactic analysis of instrumented practices of 1styear university students around the resolution of differential equations in the Maple environment. This analysis attempts to articulate the anthropological theory of didactics and the instrumental approach to highlight the difficulties that may be encountered in the transposition of a mathematical resolution to a computer solution of a problem. We use on the theoretical and experimental levels the model of the double transposition of Broner and Briant (2015), in the case of the Euler method. Our methodology is carried out within the framework of a "mathematics workshop" designed by a higher institution of technological studies in Tunisia, through an analysis of written and digitized productions of student pairs in response to a control duty proposed by the teacher.