THE QUADRATIC FUNCTION BASED ON THE FUNDAMENTAL IDEA OF VARIATION: A STUDY WITH 1ST GRADE HIGH SCHOOL STUDENTS
Quadratic Function. Variation. Educational Product. Guiding Teaching Activities (AOE).
The treatment of algebra restricted to operational techniques was one of the initial motivators of this work. When looking at the approach used until then in High School for the Quadratic Function (FQ) content, it is observed that this permeates an approach in which the relationships and notations of Numerical Sets are primarily used to the detriment of an approach to their variational aspects and everyday situations. By reading the current educational normative document, Base Nacional Comum Curricular (BNCC), a concern was observed in the development of fundamental mathematical ideas (equivalence, variation, interdependence, representation, order, proportionality, approximation) to become objects of knowledge in elementary school. In relation to the object of study of this qualitative research, there are questions that go against how the object Quadratic Function can be treated from the fundamental idea of variation, in a proposal of didactic sequence along the lines of Teaching Guiding Activities (AOE ). As a result of a Professional Master's research, we have in this work the intentions of research activities to compose an Educational Product (EP) named by: "Didactic Sequence: Rocket Launch" from three tasks to be carried out in the classroom and extra class.