Actividad matemática creativa y desarrollo del talento matemático a través del modelo praxeológico.
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| Title: | Actividad matemática creativa y desarrollo del talento matemático a través del modelo praxeológico. |
|---|---|
| Alternate Title: | Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model. |
| Authors: | Margarita Barraza-García, Zeidy1, Romo Vázquez, Avenilde2, Roa-Fuentes, Solange3 |
| Source: | Revista Electrónica de Investigación Educativa. 2022, Vol. 24, p1-18. 18p. |
| Subject Terms: | *Mathematical ability, *Mathematics education, *Talent development, *Student development, *Teaching models, *Creative ability, Generalization, Mathematical models, Mathematics, Task analysis, Angles |
| Abstract (English): | 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] |
| Abstract (Spanish): | 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. [ABSTRACT FROM AUTHOR] |
| Copyright of Revista Electrónica de Investigación Educativa is the property of Universidad Autonoma de Baja California (UABC) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Education Research Complete |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: ehh DbLabel: Education Research Complete An: 161593830 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Actividad matemática creativa y desarrollo del talento matemático a través del modelo praxeológico. – Name: TitleAlt Label: Alternate Title Group: TiAlt Data: Creative Mathematical Activity and Developing Mathematical Talent Through the Praxeological Model. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Margarita+Barraza-García%2C+Zeidy%22">Margarita Barraza-García, Zeidy</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Romo+Vázquez%2C+Avenilde%22">Romo Vázquez, Avenilde</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Roa-Fuentes%2C+Solange%22">Roa-Fuentes, Solange</searchLink><relatesTo>3</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Revista+Electrónica+de+Investigación+Educativa%22">Revista Electrónica de Investigación Educativa</searchLink>. 2022, Vol. 24, p1-18. 18p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Mathematical+ability%22">Mathematical ability</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematics+education%22">Mathematics education</searchLink><br />*<searchLink fieldCode="DE" term="%22Talent+development%22">Talent development</searchLink><br />*<searchLink fieldCode="DE" term="%22Student+development%22">Student development</searchLink><br />*<searchLink fieldCode="DE" term="%22Teaching+models%22">Teaching models</searchLink><br />*<searchLink fieldCode="DE" term="%22Creative+ability%22">Creative ability</searchLink><br /><searchLink fieldCode="DE" term="%22Generalization%22">Generalization</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Task+analysis%22">Task analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Angles%22">Angles</searchLink> – Name: Abstract Label: Abstract (English) Group: Ab Data: 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] – Name: Abstract Label: Abstract (Spanish) Group: Ab Data: 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. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Revista Electrónica de Investigación Educativa is the property of Universidad Autonoma de Baja California (UABC) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.24320/redie.2022.24.e01.4167 Languages: – Code: spa Text: Spanish PhysicalDescription: Pagination: PageCount: 18 StartPage: 1 Subjects: – SubjectFull: Mathematical ability Type: general – SubjectFull: Mathematics education Type: general – SubjectFull: Talent development Type: general – SubjectFull: Student development Type: general – SubjectFull: Teaching models Type: general – SubjectFull: Creative ability Type: general – SubjectFull: Generalization Type: general – SubjectFull: Mathematical models Type: general – SubjectFull: Mathematics Type: general – SubjectFull: Task analysis Type: general – SubjectFull: Angles Type: general Titles: – TitleFull: Actividad matemática creativa y desarrollo del talento matemático a través del modelo praxeológico. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Margarita Barraza-García, Zeidy – PersonEntity: Name: NameFull: Romo Vázquez, Avenilde – PersonEntity: Name: NameFull: Roa-Fuentes, Solange IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: 2022 Type: published Y: 2022 Identifiers: – Type: issn-print Value: 16074041 Numbering: – Type: volume Value: 24 Titles: – TitleFull: Revista Electrónica de Investigación Educativa Type: main |
| ResultId | 1 |
