Actividad matemática creativa y desarrollo del talento matemático a través del modelo praxeológico

Zeidy Margarita Barraza-García, Avenilde Romo Vázquez, Solange Roa-Fuentes

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

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 contribuciónCreative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model
Idioma originalEspañol
Número de artículoe01
PublicaciónRevista Electronica de Investigacion Educativa
Volumen24
DOI
EstadoPublicada - 2022
Publicado de forma externa

Palabras clave

  • Creativity
  • Generalization
  • Mathematics
  • Talent

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