Situações didáticas olímpicas (SDO) para o ensino de geometria plana: um contributo da engenharia didática

Abstract

The Mathematics disputes, which are better known as mathematics olympics, have achieved more and more space in schools in Brazil. This is happening, therefore, these disputes do not require students to memorize formulas, but it has the science of basic knowledge and a quick and creative discernment. The process of learning mathematics does not always reach the expected objectives, due to obstacles and difficulties presented by students. Thus, the work has as general objective to structure and propose Olympic Didactic Situations (ODS) of the content of Flat Geometry, in the context of OBMEP, using the Geogebra software as an auxiliary resource for the teacher and for the student. For the development of ODS, It was used as research methodology the first two stages of Didactic Engineering (DE), namely: preliminary analysis and a priori analysis in complementarity with the teaching methodology, Theory of Didactic Situations (TSD), to elaborate ten ODSs related to the contents of Flat Geometry, using the four phases of TSD: action, formulation, validation and institutionalization. It was glimpsed, with this research, to present to teachers of the Secondary a methodological alternative approach of Olympic problems. The elaborated ODSs are part of an activity notebook that constitutes the educational product of research.