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

Abstract

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.

Actividad matemática creativa y desarrollo del talento matemático a través del modelo praxeológico

“…El MPTM, inicialmente presentado en Barraza-García et al (2020), al igual que otros desarrollos del modelo praxeológico, se basa en los trabajos de Castela y Romo-Vázquez (2011) y de Chaachoua et al (2019). En el MPTM los tipos de tareas y las técnicas están sustentadas en dos componentes de la tecnología: matemática 𝜃 𝑚 y creativa 𝜃 𝑐 .…”

Sorotan Literatur Bersistematik: Pemupukan Kreativiti Matematik dalam Pendidikan Matematik

“…Setelah dianalisis, terdapat tiga jenis kaedah yang digunakan iaitu berjenis model, teori pembelajaran dan pendekatan dan pengajaran. Antaranya, terdapat tiga buah kajian yang menggunakan kaedah model (Barraza-García, Romo-Vázquez & Roa-Fuentes, 2020;Jebur, 2020;Lince, 2016). Manakala modelmodel yang digunakan ialah Theoretical Model, Alan Hoffer's model dan Models Numbered Heads Together.…”

Boredom and its perceived impact in adolescents with exceptional mathematical talent: a sequential mixed-methods study in Paraguay

“…Consequently, the talent development framework places significant emphasis on deliberately fostering psychosocial skills that support high achievement, persistence, and creativity, all of which require motivation ( Subotnik et al, 2011 ). To develop effective strategies that address this issue and promote positive outcomes, a better understanding of the experiences and needs of mathematically gifted students is compelled for adequate development of their creativity and talent ( Barraza-García et al, 2020 ).…”