Reflection on the teacher's knowledge. The case of the teaching of the derivative

Abstract

The following study reports a reflection on the importance of conducting research on knowledge of the mathematics teacher by teaching the derivative using technological didactic resources. The basis of this work is the characterization made by Ponciano (2016), which uses as a theoretical framework Mathematics Teacher's Specialized Knowledge (MTSK) of which an activity that was carried out in a workshop is designed. This activity was aimed at finding the function that models the number of movements of the cards, mediating variations of the movements based on Geogebra. We conclude that it is of utmost importance to carry out research on the knowledge of the mathematics teacher, since these studies are developed in the teacher's practice to later take them to the initial and / or continuous training, in order to build or strengthen their mathematical knowledge and didactic knowledge of the content.