Atividades com o GeoGebra que contemplam habilidades da BNCC para o estudo de funções quadráticas no ensino médio

Abstract

In this work, we seek answers to the following question: What kind of tasks in Geogebra do BNCC High School skills include in relation to graphical interpretations of quadratic functions? To answer this question, we carried out a qualitative, exploratory and bibliographical research, regarding the nature of the object, regarding the objective of the research and regarding the data collection, respectively. As for the methodological procedures, the research was developed in stages. Step 1 - Construction of the theoretical foundation using as a reference the competences and abilities of the BNCC related to the Mathematical object polynomial function of the 2nd grade of High School. Step 2 - Discussion of the concepts of representation and representation records and the types of proposed tasks in the Geogebra environment. Step 3 – Choose from three proposed tasks taken from the Geogebra website. Step 4- Analysis of the tasks based on the theoretical framework constructed using the following categories: 1) BNCC skill; 2) treatment or conversion of records and 3) type of mathematical task. In task 1 – Construction of the graph of the quadratic function, we identified the skills EM13MAT402 and EM13MAT502, we had the forms of table representation, Cartesian graph and algebraic form as representation records. We can classify this task as investigative. In task 2 – Representations for quadratic functions, we identified the skills EM13MAT402 and EM13MAT502, which we had as a representation record. In task 3 – Graphic and algebraic representations of the parabola, we identified the skill EM13MAT402, we had Cartesian graph forms as a representation record. We can classify this task as investigative. In this research, we intend to bring a look at the use of GeoGebra associated with the skills of the BNCC. This research led us to reflect on the articulation of representation registers for understanding the object polynomial function of the 2nd degree and the study of what is necessary for high school students. We emphasize that the tasks discussed complement each other in the study of 2nd degree polynomial functions, focusing on the development of skills for this object of study.