Learning the calculation of areas under the curve with Riemann sums applying GeoGebra

Abstract

Below are the results that were obtained when managing a collaborative learning approach based on ICTs, for the area of mathematics, specifically in the "Calculation of areas under the curve with Riemann sums applying GeoGebra", with students in the sixth semester of the Preparatory number 37 of the Autonomous University of Guerrero (UAGro). This was done in order to design strategies that facilitate the understanding of this discipline in high school students and also be a means of motivation for teachers in the area of mathematics and thus apply this approach supported by some software in their respective units of learning. With the above, an example is described to calculate the area under the given curve in a range, on the x-axis, using the Riemann sums and the interpretation of the graph. For monitoring two groups of students were chosen, in one the software was used and in the other the conventional way of learning was used. At the beginning of the school activities, a diagnostic test was applied to know how much they knew about the subject, which meant that no significant differences were found in both groups of students. At the end of the semester, a knowledge test was applied to compare results in both groups, observing better performance in the students of the experimental group. On the other hand, a survey was also applied to the group of students who relied on the software, in order to know how they learn best.