The movement of the variable in the differential calculation: didactics orientations

Abstract

Giving answers to the inadequacies that are presented in the process of teaching learning of the Differential Calculation and having in consideration the importance that has the movement of the variable for the conceptual understanding and the development of the variational thinking in this process, orientation in order to a didactic approach to the variable movement are proposed, from three perspective: the variable movement in approach to a line, the variable movement to infinity and the variable movement in approach to a point. The achieve result that are submitted to specialist consideration through two socialization workshop, these workshop are assumed as valid alternative for the scientific validation of pedagogical research, else to reach the orientation proposed improvement, an inquest was applied for the proposal assess. In the experience socialization, 29 specialists took part. With the workshop and inquest result, the acceptance of the didactic orientation about it´s feasibility, scientific novelty, logical coherence and theoretical foundations consistency was assessment, a consensus about the necessity of change in the scholar mathematics discourse was reached in the didactic of this subject. Recommendation from the workshop conclusion for the development of new didactics orientations were made oriented to the resource acquisition process by the students for the representation registers and the hypothesis assessment in the Differential Calculus.