Modelagem Matemática com o GeoGebra: possibilidades e limitações para o estudo de função afim no Ensino Médio

Abstract

The main objective of this study is to investigate contributions and limitations of the use of GeoGebra software in solving mathematical modeling of problems of the type function Affine. As a theoretical framework, we use the concept of Mathematical Modeling presented by Biembengut and Hein (2000). For research, the methodology was exploratory, about to data collection it was part of an experimental study and on the analysis of data collected we classified as qualitative. The development of the research was subdivided into 4 phases, namely: Phase 1 - bibliographical survey; Phase 2 - Development of activity; 3rd phase - didactic intervention in school; Phase 4 - Evaluation of the proposal. For didactic intervention, we chose two classes of the 1st year of high school and the mathematics teacher of the classes of a state school of high school Mamanguape Valley. We adapted of the textbook adopted in the reference school a problem situation to be modeled by a function of type Affine. The proposal was applied in two groups, one using GeoGebra and the other not, then the room interventions, interviewed the teacher. Both groups were shown to be excited during the development of the intervention, since the situation problem proposal is part of their daily lives, as suggested by the Mathematical Modeling. However, we also found that GeoGebra enables the modeling problem faster situation allowing students to engage with the problem devoting more time to the analysis than the calculations, but the proposal presented limitation using two decimal values. The result of the interventions was reaffirmed by the perception of the teacher as potential with Geogebra and reveals an effective resource for learning and Mathematical Modeling.