FEATURES OF FORMATION AND DEVELOPMENT OF STUDENTS’ RESEARCH COMPETENCE IN THE COURSE OF HIGHER MATHEMATICS IN A TECHNICAL COLLEGE
Modern production poses challenges whose solution requires well-developed research skills.Thus, graduates must not only possess the necessary set of basic and special knowledge, but also be able to timely adapt to the dynamics of the environment, continually upgrade their skills, possess a certain degree of creativity to solve practical problems. The experience of colleges and universities proves conclusively that an effective way of improving the quality of training is to involve students in well-organized, methodically thought-out research work, provided it is closely related to the educational process and the students’ future profession. The paper deals with one of the most important and promising learning activities - students’ research carried out under the guidance of a teacher. The objective is to encourage students to use their creative abilities, participation in the university research activities, and, eventually, improvement of the quality of higher education. The article gives an example of students’ independent work enhancing their research skills. It is a project on the use of integral calculus methods in solution of applied problems. Its implementation is assumed to deepen and systematize the knowledge in mathematical analysis in general and in triple integrals in particular. Students were assigned to solve problems of the calculation of volume, static moments, moments of inertia, center of gravity coordinates of the spatial body, problems of finding the vector flow through a closed surface.