UkrainianProfessional Education

Abstract

The main aspects of methodological approaches to teaching mathematical disciplines with the aim of forming the fundamental professional competences of the future engineer are considered at  article. The study of mathematics in a higher technical school is substantiated as a necessary condition for the formation of an engineering type of thinking. The features and basic conditions for the effective formation of fundamental mathematical competencies in the process of training future engineers are considered, namely: the using in the educational process of such a methodical system of teaching mathematics, which would allow not only to reproduce the educational material, but also to activate the search and research activities of students, to make abstract material difficult to perceive visible, to conduct computational experiments with models created by students, dynamic drawings in order to propose hypotheses , solving creative, non-standard problems, ensuring the strengthening of the applied orientation of education.Attention is drawn and the importance of integration of mathematics with special narrow-profile disciplines is proven. The requirements for teaching methods and the system of educational mathematical tasks, which are put forward at the initial stage of training students of technical specialties, are formulated. The structure and components of mathematical competence are given, which includes: procedural, logical, technological, research, methodological competence; the nature and essence of each of them is determined. The work also compares some of the main components of educational mathematical activity and the professional competencies of the future engineer. Prospective ways of solving the problem of improving the quality of mathematical training of students of higher technical educational institutions and strengthening the professional competences of future engineers are connected, first of all, with students' deep assimilation of the basics of mathematical science, the ability to see and use intra-subject and inter-subject connections, and the applied orientation of the higher mathematics course and its connection with highly specialized mathematical disciplines of a professional direction. Only integrated lessons, integrated modules, integrated courses provide opportunities for generalization, structuring, systematization of material, students gain experience in learning processes and phenomena, which contributes to the development of creative abilities, the formation of professionally significant qualities of future engineers

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