1. Actividad matemática creativa y desarrollo del talento matemático a través del modelo praxeológico.
- Author
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Margarita Barraza-García, Zeidy, Romo Vázquez, Avenilde, and Roa-Fuentes, Solange
- Subjects
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GENERALIZATION , *MATHEMATICAL models , *MATHEMATICS , *TASK analysis , *MATHEMATICAL ability , *ANGLES , *MATHEMATICS education , *TALENT development , *STUDENT development , *TEACHING models , *CREATIVE ability - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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