Resumen

SILVA, José Gleison Alves da; VIEIRA, Renata Passos Machado; ALVES, Francisco Régis Vieira  y  MENEZES, Daniel Brandão. Didactic Engineering (DE): The use of Olympic Didactic Situations for teaching the Middle Base of the Triangle Theorem from OBMEP Problems. Rev. iberoam. tecnol. educ. educ. tecnol. [online]. 2022, n.31, pp.88-100. ISSN 1851-0086.

This article is an excerpt from a master's dissertation in which it presents a teaching proposal regarding the use of problems (Olympic Problems) contained in the questions of the Brazilian Public School Mathematics Olympiad (OBMEP), to help teachers in initial training in Mathematics and Teaching of Mathematics. Thus, the aim of this article is to present a proposal for teaching the average base of the triangle theorem from an OBMEP problem, supported by the GeoGebra software, from the perspective of the Theory of Didactic Situations (TSD) for the teaching of the theorem from the middle base of the triangle. The problem-situation was discussed based on the OBMEP's Olympic Didactic Situations, structured and grounded in the phases of the Didactic Situation Theory, with the help of the GeoGebra software. The research was modeled according to the Didactic Engineering research methodology. The results were categorized based on the TSD Action, Formulation, Validation and Institutionalization steps. We observed that the use that the PO applied made emerge all the stages of the TSD making the student act, formulate and validate the presented strategies, which contributed to the construction of learning. Therefore, the results obtained were positive in the view of the teachers in training, due to the way in which teaching situations were planned and the use of GeoGebra in the construction and support of students in the teaching and learning processes of Mathematics.

Palabras clave : Average base; Didactic engineering; Theory of didactic situations; OBMEP; Triangle; Olympic didactic situation.

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