THE RELATIONSHIP’S NATURE OF STRUCTURAL COMPONENTS OF STUDENTS’ MATHEMATICAL RESEARCH ABILITIES: THE PSYCHOLOGICAL ASPECT

Abstract

The article considers the problem of establishing the nature of the relationship between the indicators of the structural components of mathematical research abilities. It is indicated the urgency of this problem. Significant transformations of the public life of Ukraine contribute to changes in the education system regarding the formation of the personality of future highly intelligent specialists who can think creatively, learn independently and navigate freely in the information space. Mathematics is a phenomenon of universal culture, one of the most important branches of knowledge of modern man. It is proved that the formation of mathematical literacy of students, the ability to apply mathematical methods to solve applied problems in various fields affect the formation of a creative personality. The purpose of the article is to identify the psychological features of the nature of the relationship between the indicators of the structural components of mathematical research abilities in a holistic system of research activities of students. Theoretical approaches to the concept of mathematical research abilities, their structural components are revealed. The main results of research in domestic and foreign psychology on the study of the formation of mathematical research abilities, which are the substructure of the general mathematical scientific orientation of the individual to scientific research, the discovery of patterns, ability to find new, non-standard attempts to solve problems. The expediency of using factor analysis to determine the main factors between the components of mathematical research abilities is revealed. Factorization of the intercorrelation matrix was carried out based on Thurston’s multifactor model by the centroid method, which allowed to establish the importance of certain structural components in selected factors and psychological features of the relationship between indicators in the whole system of research activities of both control and experimental groups. The leading factors of levels of manifestation of indicators of mathematical research abilities of senior pupils are found out. Conclusions. It is proved that specially organized work on the improvement of mental operations, mental actions in students has a positive effect on the formation of mathematical research skills and the development of creative abilities in general. It is established that in the structure of mathematical research abilities of high school students the leading place is occupied by the motivational-personal component, which in combination with high efficiency has a positive effect on the development of intellectual.