DIALECTICAL UNITY OF THEORETICAL AND APPLIED MATHEMATICS AS A BASIS FOR PROFESSIONALIZATION OF MATHEMATICAL TRAINING OF AN ECONOMIC SPECIALIST
The article deals with the problems of realization of professional orientation of teaching mathematical disciplines to students of economic profile. Two aspects of the applied orientation of the mathematics course are considered: in the context of the evolution of mathematical knowledge and the formation of its two branches-theoretical and applied mathematics and in the context of the implementation of modern concepts of the education system focused on the formation of competencies and personal development of the student by means of the subject. The article also reveals the mechanisms of organization of teaching mathematics in economic higher education institution, methodology and teaching methods. The article gives a brief overview of the historiography of the issue, identifies the actual problems of practice-oriented teaching of mathematics. The article pays special attention to mathematical modeling, reveals the specific features of this method, emphasizes the obligation of this method in the professional training of future economists, notes the ability of this method to provide close inter-subject relations in the substantive and methodological terms between the mathematical and economic blocks of academic disciplines. The article also focuses on the prerequisites and reasons for the mathematization of different areas of modern science. Separately, the need to match the content of the learning process cycle of mathematical disciplines in the development of economic profiles generally recognized imperatives: scientific, accessibility, application, consistency and consistency.