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: Barraza-García, Zeidy Margarita, Romo Vázquez, Avenilde, Roa-Fuentes, Solange
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:México
Institución:UNIVERSIDAD AUTÓNOMA DE BAJA CALIFORNIA
Repositorio:Revista Electrónica de Investigacion Educativa
Idioma:español
inglés
OAI Identifier:oai:ojs.redie.uabc.mx:article/4167
Acceso en línea:https://redie.uabc.mx/redie/article/view/4167
Access Level:acceso abierto
Palabra clave:creatividad
talento
generalización
matemáticas
creativity
talent
generalization
mathematics
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spelling Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological ModelActividad matemática creativa y desarrollo del talento matemático a través del modelo praxeológicoBarraza-García, Zeidy MargaritaRomo Vázquez, AvenildeRoa-Fuentes, SolangecreatividadtalentogeneralizaciónmatemáticascreativitytalentgeneralizationmathematicsThis 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 Educativo2022-02-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmltext/htmlapplication/pdfapplication/pdftext/xmlapplication/epub+ziphttps://redie.uabc.mx/redie/article/view/416710.24320/redie.2022.24.e01.4167Revista Electrónica de Investigación Educativa; Vol. 24 (2022); 1-18Revista Electrónica de Investigación Educativa; Vol. 24 (2022); 1-181607-4041reponame:Revista Electrónica de Investigacion Educativainstname:UNIVERSIDAD AUTÓNOMA DE BAJA CALIFORNIAinstacron:UABCspaenghttps://redie.uabc.mx/redie/article/view/4167/2173https://redie.uabc.mx/redie/article/view/4167/2364https://redie.uabc.mx/redie/article/view/4167/2174https://redie.uabc.mx/redie/article/view/4167/2366https://redie.uabc.mx/redie/article/view/4167/2197https://redie.uabc.mx/redie/article/view/4167/2234Derechos de autor 2022 Zeidy Margarita Barraza-García, Avenilde Romo Vázquez, Solange Roa-Fuenteshttps://creativecommons.org/licenses/by-nc/4.0info:eu-repo/semantics/openAccessoai:ojs.redie.uabc.mx:article/41672024-08-22T16:52:59Z
dc.title.none.fl_str_mv Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model
Actividad matemática creativa y desarrollo del talento matemático a través del modelo praxeológico
title Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model
spellingShingle Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model
Barraza-García, Zeidy Margarita
creatividad
talento
generalización
matemáticas
creativity
talent
generalization
mathematics
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
dc.creator.none.fl_str_mv Barraza-García, Zeidy Margarita
Romo Vázquez, Avenilde
Roa-Fuentes, Solange
author Barraza-García, Zeidy Margarita
author_facet Barraza-García, Zeidy Margarita
Romo Vázquez, Avenilde
Roa-Fuentes, Solange
author_role author
author2 Romo Vázquez, Avenilde
Roa-Fuentes, Solange
author2_role author
author
dc.subject.none.fl_str_mv creatividad
talento
generalización
matemáticas
creativity
talent
generalization
mathematics
topic creatividad
talento
generalización
matemáticas
creativity
talent
generalization
mathematics
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.
publishDate 2022
dc.date.none.fl_str_mv 2022-02-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://redie.uabc.mx/redie/article/view/4167
10.24320/redie.2022.24.e01.4167
url https://redie.uabc.mx/redie/article/view/4167
identifier_str_mv 10.24320/redie.2022.24.e01.4167
dc.language.none.fl_str_mv spa
eng
language spa
eng
dc.relation.none.fl_str_mv 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
dc.rights.none.fl_str_mv Derechos de autor 2022 Zeidy Margarita Barraza-García, Avenilde Romo Vázquez, Solange Roa-Fuentes
https://creativecommons.org/licenses/by-nc/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2022 Zeidy Margarita Barraza-García, Avenilde Romo Vázquez, Solange Roa-Fuentes
https://creativecommons.org/licenses/by-nc/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
text/html
application/pdf
application/pdf
text/xml
application/epub+zip
dc.publisher.none.fl_str_mv Universidad Autónoma de Baja California. Instituto de Investigación y Desarrollo Educativo
publisher.none.fl_str_mv Universidad Autónoma de Baja California. Instituto de Investigación y Desarrollo Educativo
dc.source.none.fl_str_mv Revista Electrónica de Investigación Educativa; Vol. 24 (2022); 1-18
Revista Electrónica de Investigación Educativa; Vol. 24 (2022); 1-18
1607-4041
reponame:Revista Electrónica de Investigacion Educativa
instname:UNIVERSIDAD AUTÓNOMA DE BAJA CALIFORNIA
instacron:UABC
instname_str UNIVERSIDAD AUTÓNOMA DE BAJA CALIFORNIA
instacron_str UABC
institution UABC
reponame_str Revista Electrónica de Investigacion Educativa
collection Revista Electrónica de Investigacion Educativa
repository.name.fl_str_mv
repository.mail.fl_str_mv
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