Abstract

This article discusses and describes the two initial phases provided by a nominated research design of Didactical Engineering – DE. Thus, in view of an interest declared by the teachhing of Complex Analysis – CA, the work emphasizes the elements that hold the potential to constitute the two initial stages of an DE, nomitaded by preliminary and a priori analysis, with emphasis on description and conception of only two problems situations. So, in view of the long heritage of the French tradition in Didactics of Mathematics, also elects the Theory of Didactical Situations – TSD, in complementary character in other to ensure the reasonable control of the didactic mediation, as well as the predictive character of a theorical and conceptual framework for the research, structured for teaching of CA, reproductible and repeatable in any empirical situation of application in academic locus.

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