Abstract
"Abstract: This work presents a discussion about the Didactic Training Engineering (EDF) methodology, of French origin, emphasizing the role of the teacher, during his initial or continuous training, through the conception and structuring of a didactic situation, organized by such methodology and based on the Theory of Didactic Situations (TSD). Therefore, the objective of this work is to present a didactic situation, based on the research methodology of (EDF) and focused on the analysis of the teacher's role, through the application of the dialectical phases (action, formulation, validation and institutionalization) provided by the TSD. The mathematical problem chosen to compose such a situation, through preliminary and a priori analyzes by EDF, will be focused on Flat Geometry directed to the Permanent Evaluation System of Basic Education in Ceará (SPAECE). SPAECE (Brazil) is a large-scale assessment, held annually in the state of Ceará, Brazil, involving all elementary and high school students in public schools. In addition, the use of the GeoGebra software as a technological resource for carrying out a didactic transposition of the content covered in the proposed didactic situation stands out. For a better conduct of this teaching and learning process, it is suggested the adoption of a didactic contract between the characters involved and the consideration of possible epistemological obstacles and obstacles that may arise during this process."
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