The objective of this work is to describe and analyze, based upon the case study methodology, the praxeologies for the teaching of mathematics, resulting from performing mathematical modeling tasks arising in the mathematical modeling of a dynamic variation system, with the participation of one teacher and a group of childhood education students. We describe the set of mathematical praxeologies to be built from work done in regard to the system, placing special emphasis upon the analysis and characterization of the teaching practice and didactic logos of the teacher, using a theoretical framework that articulates the Anthropological Theory of Didactics with recent research done on the teacher's teaching action. The results open a promising dimension in the study and identification of effective approaches for the teaching of mathematics based on modeling.
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