Resumen
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.
Título traducido de la contribución | Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model |
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Idioma original | Español |
Número de artículo | e01 |
Publicación | Revista Electronica de Investigacion Educativa |
Volumen | 24 |
DOI | |
Estado | Publicada - 2022 |
Publicado de forma externa | Sí |
Palabras clave
- Creativity
- Generalization
- Mathematics
- Talent