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A Theoretical Model for the Development of Mathematical Talent through Mathematical Creativity

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  • المؤلفون: Barraza-García, Zeidy M. (ORCID Barraza-García, Zeidy M. (ORCID 0000-0002-2900-481X); Romo-Vázquez, Avenilde (ORCID Romo-Vázquez, Avenilde (ORCID 0000-0002-1364-5997); Roa-Fuentes, Solange (ORCID Roa-Fuentes, Solange (ORCID 0000-0001-8580-2763)
  • المصدر:
    Education Sciences. 2020 10.
  • الموضوع:
    2020
  • نوع التسجيلة:
    Journal Articles
    Reports - Research
  • معلومة اضافية
    • Peer Reviewed:
      Y
    • المصدر:
      21
    • Education Level:
      Elementary Education
    • الموضوع:
    • الموضوع:
    • ISSN:
      2227-7102
    • نبذة مختصرة :
      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.
    • نبذة مختصرة :
      As Provided
    • الموضوع:
      2020
    • الرقم المعرف:
      EJ1251672