A Model for Teaching Mathematics to Gifted Students Based on an Effective Combination of Various Approaches for their Preparation

Currently one of the urgent goals of mathematical education is the organization of effective work with gifted students. Based on the study of various approaches to teaching mathematically gifted students, many years of experience of teachers, students’ work, and an analysis of curricula and materials for schools with in-depth study of mathematics, an author’s model for the training of gifted students was developed. The novelty of this model is that it ensures a rational combination of various forms of education for gifted children on the basis of differentiation, individualization of the process of teaching mathematics, advanced learning, openness, democracy, reflection, and adequate control. The pedagogical experiment was carried out for two years in the Abulfazl Balami gymnasium for gifted children in the city of Vahdat, Republic of Tajikistan. 41 students and 18 teachers took part in the experiment. The data obtained from the experimental and control groups were subjected to qualitative and quantitative analysis. Over the same time interval there were significant changes in the performance of students in the experimental groups, with 40% of the students moving to a higher level. In the control groups, the change was not significant.