Study of the Quadratic Function in GeoGebra: analysis in a Class of Youths and Adults
Quadratic Function. Genesis instrumental. GeoGebra. EJA
This dissertation aimed to explore the potential of GeoGebra to learn the conceptual aspects involved in the study of the Quadratic Function. The pedagogical intervention occurred in an EJA class at CIEP 055 Joao Gregorio Galindo, located in Angra dos Reis (RJ). The innovation was carried out in the teaching practice itself and is inserted in a context in which the students did not have the opportunity to follow the studies in a regular way, with age and indicated series. As forms of data collection were used: teacher-researcher field diaries, responses to activities, screen capture, video recording, photographic records. The activities were elaborated to explore and analyze relations between coefficients, discriminant, roots and vertex of the parabola. The theoretical basis was based on the instrumental approach, particularly in the elucidation of relations between the four poles (subjects, object, instrument and other subjects) of the model of situations of collective activities implemented. The analysis indicates that instrumental genesis can be an adequate tool to study the cognitive process of subjects by studying the quadratic function, since it has developed new schemes of use that allowed it to solve the proposed situations. Particularly to the study of the quadratic function it is emphasized that the analyzed activity, in which GeoGebra was used, favored the transformation from artifact to instrument. That is, the possibility of observing the representation of the graph of the quadratic function in this environment of allowed dynamic geometry, in a way, to validate the previous knowledge of the students. As an educational product the research generated a workbook that aimed to explore the potential of GeoGebra to learn the conceptual aspects involved in the study of the Quadratic Function.