A Theoretical Model for the Development of Mathematical Talent through Mathematical Creativity
This study was conducted from a perspective that adopts a broad vision of mathematical talent, defined as the potential that a subject manifests when confronting certain types of tasks, in a successful way, that generate creative mathematical activity. To analyse this, our study proposes a Praxeolog...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Education Sciences |
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| Online Access: | https://www.mdpi.com/2227-7102/10/4/118 |
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| author | Zeidy M. Barraza-García Avenilde Romo-Vázquez Solange Roa-Fuentes |
| author_facet | Zeidy M. Barraza-García Avenilde Romo-Vázquez Solange Roa-Fuentes |
| author_sort | Zeidy M. Barraza-García |
| collection | DOAJ |
| description | This study was conducted from a perspective that adopts a broad vision of mathematical talent, defined as the potential that a subject manifests when confronting certain types of tasks, in a successful way, that generate creative mathematical activity. To analyse this, our study proposes a Praxeological Model of Mathematical Talent based on the Anthropological Theory of Didactics and the notion of mathematical creativity, which defines four technological functions: (1) producing new techniques; (2) optimizing those techniques (3); considering tasks from diverse angles; and (4) adapting techniques. Using this model, this study analyses the creative mathematical activity of students aged 10–12 years displayed as they sought to solve a series of infinite succession tasks proposed to encourage the construction of generalization processes. The setting is a Mathematics Club (a talent-promoting institution). The evaluation of results shows that the Praxeological Model of Mathematical Talent allows the emergence and analysis of mathematical creativity and, therefore, encourages the development of mathematical talent. |
| first_indexed | 2024-03-10T20:16:59Z |
| format | Article |
| id | doaj.art-01a56429164b430bb5eb82e148ae941f |
| institution | Directory Open Access Journal |
| issn | 2227-7102 |
| language | English |
| last_indexed | 2024-03-10T20:16:59Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Education Sciences |
| spelling | doaj.art-01a56429164b430bb5eb82e148ae941f2023-11-19T22:28:22ZengMDPI AGEducation Sciences2227-71022020-04-0110411810.3390/educsci10040118A Theoretical Model for the Development of Mathematical Talent through Mathematical CreativityZeidy M. Barraza-García0Avenilde Romo-Vázquez1Solange Roa-Fuentes2Programa de Matemática Educativa, CICATA-Instituto Politécnico Nacional, CDMX 11500, MexicoPrograma de Matemática Educativa, CICATA-Instituto Politécnico Nacional, CDMX 11500, MexicoEscuela de Matemáticas, Universidad Industrial de Santander, Bucaramanga 680002, ColombiaThis study was conducted from a perspective that adopts a broad vision of mathematical talent, defined as the potential that a subject manifests when confronting certain types of tasks, in a successful way, that generate creative mathematical activity. To analyse this, our study proposes a Praxeological Model of Mathematical Talent based on the Anthropological Theory of Didactics and the notion of mathematical creativity, which defines four technological functions: (1) producing new techniques; (2) optimizing those techniques (3); considering tasks from diverse angles; and (4) adapting techniques. Using this model, this study analyses the creative mathematical activity of students aged 10–12 years displayed as they sought to solve a series of infinite succession tasks proposed to encourage the construction of generalization processes. The setting is a Mathematics Club (a talent-promoting institution). The evaluation of results shows that the Praxeological Model of Mathematical Talent allows the emergence and analysis of mathematical creativity and, therefore, encourages the development of mathematical talent.https://www.mdpi.com/2227-7102/10/4/118mathematical potentialmathematical talentmathematical creativitygeneralization |
| spellingShingle | Zeidy M. Barraza-García Avenilde Romo-Vázquez Solange Roa-Fuentes A Theoretical Model for the Development of Mathematical Talent through Mathematical Creativity Education Sciences mathematical potential mathematical talent mathematical creativity generalization |
| title | A Theoretical Model for the Development of Mathematical Talent through Mathematical Creativity |
| title_full | A Theoretical Model for the Development of Mathematical Talent through Mathematical Creativity |
| title_fullStr | A Theoretical Model for the Development of Mathematical Talent through Mathematical Creativity |
| title_full_unstemmed | A Theoretical Model for the Development of Mathematical Talent through Mathematical Creativity |
| title_short | A Theoretical Model for the Development of Mathematical Talent through Mathematical Creativity |
| title_sort | theoretical model for the development of mathematical talent through mathematical creativity |
| topic | mathematical potential mathematical talent mathematical creativity generalization |
| url | https://www.mdpi.com/2227-7102/10/4/118 |
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