GeoGebra and the Transition Complex of Calculus – TCC: the case of the L´'Hôpital rule

Abstract

This paper discusses an educational perspective about the L`Hôpital rule. The relevance of their discussion become evident, in despite of their invariant place, both in the real variable functions´ theory and the complex variable functions´ theory. On the other hand, originated in an investigative perception that relies on the Didactical Engineering and the methodology known as Theory of Didactical Situations, the manuscript shows an emphasis on the two preliminary stages (preliminary and a priori analysis). In this way, seeking emphasize a didactical style that accentuates some elements related with the visualization. Finally, the identification of the transition and rupture elements in the context of Transition Complex Calculus – TCC may help in achieving a higher educational and methodological knowledge about the rule in the academic context.