Resumen

BARRAZA-GARCIA, Zeidy Margarita; ROMO-VAZQUEZ, Avenilde  y  ROA-FUENTES, Solange. Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model. REDIE [online]. 2022, vol.24, e01.  Epub 04-Abr-2022. ISSN 1607-4041.  https://doi.org/10.24320/redie.2022.24.e01.4167.

This paper presents a theoretical model for the study of mathematical talent, grounded in the Anthropological Theory of Didactics (ATD) and the notion of creativity. This model proposes two components of creative mathematical activity: the mathematical component, which supports mathematical techniques; and the creative component, defined by four functions: producing new techniques, optimizing techniques, considering tasks from different angles, and adapting a technique. Based on the theoretical model and a reference epistemological model on infinite sequences, a learning design comprising six problem situations was developed and then implemented in an institution established to foster mathematical talent. The analysis of two tasks performed by a pair of children offers a case study that illustrates how tackling challenging tasks of the same kind, in a favorable institutional setting, makes it possible to develop mathematical talent.

Palabras llave : creativity; talent; generalization; mathematics.

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