Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model

Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model

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 techniqu...

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Autores principales: Barraza-García, Zeidy Margarita, Romo Vázquez, Avenilde, Roa-Fuentes, Solange
Formato: Online
Lenguaje:spa
eng
Publicado: Universidad Autónoma de Baja California. Instituto de Investigación y Desarrollo Educativo 2022
Acceso en línea:https://redie.uabc.mx/redie/article/view/4167
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spelling redie-article-41672024-05-03T19:49:49Z Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model Actividad matemática creativa y desarrollo del talento matemático a través del modelo praxeológico Barraza-García, Zeidy Margarita Romo Vázquez, Avenilde Roa-Fuentes, Solange creatividad talento generalización matemáticas creativity talent generalization mathematics 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. Se presenta un modelo teórico para el estudio del talento matemático, fundamentado en la Teoría Antropológica de lo Didáctico y la noción de creatividad. En dicho modelo se proponen dos componentes de la actividad matemática creativa: la Componente Matemática, que sustenta las técnicas matemáticas; y la Componente Creativa, definida por cuatro funciones: producir técnicas nuevas, optimizar técnicas, considerar tareas desde diversos ángulos y adaptar una técnica. Con base en los modelos Teórico y Epistemológico de Referencia sobre sucesiones infinitas, se genera un diseño didáctico conformado por seis situaciones problemáticas y se implementa en una institución creada para potenciar el talento matemático. El análisis de dos tareas realizadas por una pareja de niños constituye un estudio de caso, que permite ilustrar que enfrentar tareas retadoras de un mismo tipo, bajo condiciones institucionales propicias, posibilita el desarrollo del talento matemático. Universidad Autónoma de Baja California. Instituto de Investigación y Desarrollo Educativo 2022-02-08 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion text/html text/html application/pdf application/pdf text/xml application/epub+zip https://redie.uabc.mx/redie/article/view/4167 10.24320/redie.2022.24.e01.4167 Revista Electrónica de Investigación Educativa; Vol. 24 (2022); 1-18 Revista Electrónica de Investigación Educativa; Vol. 24 (2022); 1-18 1607-4041 spa eng https://redie.uabc.mx/redie/article/view/4167/2173 https://redie.uabc.mx/redie/article/view/4167/2364 https://redie.uabc.mx/redie/article/view/4167/2174 https://redie.uabc.mx/redie/article/view/4167/2366 https://redie.uabc.mx/redie/article/view/4167/2197 https://redie.uabc.mx/redie/article/view/4167/2234 Derechos de autor 2022 Zeidy Margarita Barraza-García, Avenilde Romo Vázquez, Solange Roa-Fuentes https://creativecommons.org/licenses/by-nc/4.0
institution REDIE
collection OJS
language spa
eng
format Online
author Barraza-García, Zeidy Margarita
Romo Vázquez, Avenilde
Roa-Fuentes, Solange
spellingShingle Barraza-García, Zeidy Margarita
Romo Vázquez, Avenilde
Roa-Fuentes, Solange
Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model
author_facet Barraza-García, Zeidy Margarita
Romo Vázquez, Avenilde
Roa-Fuentes, Solange
author_sort Barraza-García, Zeidy Margarita
title Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model
title_short Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model
title_full Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model
title_fullStr Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model
title_full_unstemmed Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model
title_sort creative mathematical activity and developing mathematical talent through the praxeological model
description 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.
publisher Universidad Autónoma de Baja California. Instituto de Investigación y Desarrollo Educativo
publishDate 2022
url https://redie.uabc.mx/redie/article/view/4167
_version_ 1798984265890791424

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