A Didactic Engineering (ED) applied to the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP): Olympic Didactic Situations (SDO) for teaching plane Euclidean geometry ; Una Ingeniería Didáctica (ED) aplicada a la Olimpíada Matemática Brasileña de Escuelas Públicas y Privadas (OBMEP): Situaciones Didácticas Olímpicas (SDO) para la enseñanza de la geometría euclidiana plana ; Engenharia Didática (ED) aplicada a Olimpíada Brasileira de Matemática das Escolas Públicas e privadas (OBMEP): Situações Didáticas Olímpicas (SDO) para o ensino de geometria Euclidiana plana

This article presents theoretical and conceptual elements characteristic of a research design in Didactics of Mathematics with the aim of highlighting a discussion and the possibility of gaining didactic-methodological knowledge about teaching plane Euclidean geometry through Olympic Problems (PO) ) taken from the tests of the Brazilian Mathematical Olympiad of Public and Private Schools (OBMEP). The objective is to carry out a Didactic Engineering (ED) aiming at the construction of an Olympic Didactic Situation (SDO), with a focus on teaching Flat Euclidean geometry, with the aid of the GeoGebra software as a technological resource in order to enable the perception of new strategies students by moving and viewing the figures presented in the problem situation. The Didactic Engineering (ED) methodology based on its two initial stages was used: Preliminary analyzes and Conception and Analysis a priori of the didactic situation, with special attention dedicated to the design and modeling of a problem situation in addition to the Theory of Didactic Situations (TSD) and GeoGebra software as a technological resource to assist in visualization and modeling. A proposal was presented through an SDO for teachers to use in the classroom or in preparation for OBMEP and with that, it is expected that it will contribute to the planning and methodological diversity applied in the school environment. ; Este artículo presenta elementos teóricos y conceptuales característicos de un diseño de investigación en Didáctica de las Matemáticas con el objetivo de resaltar una discusión y la posibilidad de adquirir conocimientos didáctico-metodológicos sobre la enseñanza de la geometría plana euclidiana a través de Problemas Olímpicos (PO) extraído de las pruebas de la Olimpiada Brasileña de Matemáticas de Escuelas Públicas y Privadas (OBMEP). El objetivo es la realización de una Ingeniería Didáctica (ED) orientada a la construcción de una Situación Didáctica Olímpica (SDO), con enfoque en la enseñanza de la geometría plana euclidiana, ...