PROBLEM TRAINING OF HIGHER MATHEMATICS OF TECHNICAL SPECIALTY STUDENTS

Introduction.Strengthening attention to the educational needs of the individual, understanding the student not only as an object of study, but also as an equal subject of the educational process, leads to the need to intensify the cognitive activity of students and their interest in learning through the use of methods of problem learning. The urgent task is to determine the effective conditions for the application of the mathematical training of future engineers, to intensify the independent cognitive activity of students, to master the system of mathematical knowledge, skills and abilities. Purpose.The purpose of the paper is to analyze one of the innovative approaches of higher mathematics education - the method of problem-based training of technical specialty students, which is the basis for gaining complex and system knowledge, facilitates the activation of independent cognitive activity, optimization and modernization of mathematical preparation of students. Methods.The problematic approach in teaching higher mathematics to the technical specialty students is productive, as it promotes the students' proper understanding of the use of mathematical knowledge and skills during the study of disciplines of the specialized direction necessary for future professional activity, the development of their cognitive activity by solving problem situations, contributing to the formation of interest in mastering the future profession of engineer. During the study of higher mathematics for students a crucial role plays such a system of tasks, which should contribute to the manifestation of cognitive activity, of creative thinking, that is, the task of a practical nature, nonstandard tasks and tasks for creating a problem situation. During the created problem situation the student seeks to get out of it, to overcome the obstacle, as a result of which his mental activity becomes more active. One of the main methods in the organization of problem education in higher mathematics is the research method, which involves the readiness of the student for the holistic solution of the problem, that is, the independent passage of all stages of the study. In high school, the application of the research method should include an independent search for a way of solving the cognitive task. The essence of the practical orientation of higher mathematics is based on the mastery of students by methods of mathematical modeling. The central point in the training of higher mathematics of future engineers is to deal with practical problems. An important stage of the study of the results and systematization of knowledge begin when solving problems of practical content. The solution of professionally oriented problems facilitates the formation of students' technical specialties of higher education interest in mastering the future profession of engineer. Applied tasks as the main means of formation and development of a creative person, are the basis for the manifestation of high level of cognitive independence of students, which contributes to the successful solution of problem situations. Results.The newest technologies and methods of teaching mathematics are one of the manifestations of the huge potential of innovative processes. Implementation of innovations in practice implies a systematic assessment of the effectiveness of the process of mathematical preparation. Significant changes in the system of native higher education encourage the use of active methods, new learning technologies that are aimed at restructuring and improving the educational process and training professionals to professional activities in modern conditions. New features, goals and tasks of educational activity determine the elements of innovative approaches to teaching mathematical disciplines of technical specialty students. The problem of realization of the professional orientation of teaching mathematics of technical university students remains a promising one.