The fundamental theorem of Calculus: a contemporary version and the other one based on the ideas of I. Barrow, using GeoGebra

Abstract

In the perspective of R. Duval's semiotic representation registers, we consider the Fundamental Theorem of Calculus (FFT), in the two versions mentioned in the title, since according to Duval (p. 127) " ... that every representation is cognitively partial in reference to what it represents and that from one register to another the same aspects of a content are not represented", which is why in learning it is of crucial importance to present this concept in at least two representation registers. From the above, we intend to obtain some didactic orientations that allow a better learning of such an important result for the students.