Modeling For The Determination Of The Liquid Level In A Tank. An Application Of The Concept Of Definite Integral

Abstract

The objective is to analyse how modelling favours interactions in the mathematics class and allows presenting the modelling process by the concept of definite integral in the solution of a real situation in the determination of the liquid level in a tank, in a group of engineering students taking integral calculus. The methodology followed was qualitative, descriptive and interpretative, in a case study that adopted the phenomenological design. The results showed a high correspondence between the real data and those obtained with the modelling, so that implementing these processes in mathematics classes generates motivation and commitment of the students, which favours their interactions in the construction and resignification of mathematical concepts such as the definite integral in a real situation such as the determination of the liquid level in a tank.