EVA para el desarrollo del proceso cognitivo de conversión entre distintas representaciones de la función lineal

Abstract

The teaching of the lineal function in school has given rise to multiple discussions, due to the fact that learning processes are prioritized, without students being able to understand the elements of conservation that occur in different situations and involve the use of ICT in the math classroom. At present, the teaching proposals propose to approach elements of solution of problem situations and in the case of the function, in addition to allowing the work in a representation context, according to Duval (2006) this context is the one that allows the learning of mathematical objects by be the fundamental element for the student to access it, once there three processes are presented such as formation, treatment and conversion, the latter being the most difficult because the existence of two representations of the same object must be recognized under establishing some congruence. Faced with the use of ICT, Santos (2011) points out the importance of meaning each tool that is provided in the classroom, so that it can be used, carrying out socialization processes. The contingency situation presented worldwide, opened the possibility of working from home in environments that were initially purely face-to-face, in this sense it was possible to use different technological tools for the development of processes previously, however one of the results found to be the problem of connectivity and low utility given to these tools. In the investigation, the methodology based on design with a qualitative approach is used, this due to the structuring of a proposal that allowed the description of the students' learning. Within the investigation, the design of an VLE was carried out under the ADDIE model, which was articulated with the IBD, the objective was to promote the learning of the linear function through the proposed conversions in different context situations, in which it is presented a tour of a Municipality of Colombia, recognizing characteristic features of the population, each situation intended the development of a conversion process in a different direction than usual, the situations are analyzed from the identification of variation patterns, conversion units and use of technological tools. The results made it possible to show that the group of students, based on heuristic practices, managed to recognize the significant units, relate them to the final representations, thus recognizing the existence of congruence, which led to carry out conversion processes, even outside the conventional.