COMPONENTS OF THE TRAINING PROGRAM FOR EDUCATORS WORKING ON THE DEVELOPMENT OF THE MATHEMATICALLY GIFTED STUDENTS POTENTIAL

The article is devoted to the formation and improvement of competencies of teachers and psychologists of secondary schools to identify and develop mathematically gifted students. It has been identified the components of the training program of basic competencies that psychologists and subject teachers must have to recognize and develop mathematical talent. The results of an empirical study of an educational project are online training for educators to deepen their theoretical knowledge of mathematical talent and the development of practical skills of organizing the educational process for students with a high level of ability in the field of exact sciences. It was found that training in the development of competencies is an effective way to improve the skills of teachers to understand the essence of talent, the peculiarities of its detection in students, prevention of loss of potential, development of individual educational trajectories, use of new learning technologies and ways to develop personal skills.

After the International Mathematical Olympiad: The Educational/Career Decisions and the Development of Mathematical Talent of Former Australian Olympians

This study investigated the educational and career experiences of former Australian Olympians after their participation in the International Mathematical Olympiad. For this purpose, 15 former Olympians were engaged in interviews about how they developed their mathematical talent at university, how they selected their careers, and how they developed their mathematical talent within their careers. Thematic analysis was undertaken on the collected data. The resulting themes provided useful insights into the reasoning behind the selection of one’s area of study, the nature of the study experience, the factors considered in the career decision, and the nature of mathematical development in one’s career. Among other conclusions, the study suggested the applicability of two theories (i.e., the theory of work adjustment and the megamodel of talent development) in understanding the educational/career decisions of this group, the need for more systematic gifted education provisions within tertiary settings, and a prominent “brain drain” effect.

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 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.