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The article discusses the development, improvement and research opportunities for application of methodological system of teaching math correspondence students of engineering specialties of technical universities, which contributes to higher motivation to learn mathematics, can improve the quality of teaching part-time students mathematics, but also enhances the creative and intellectual potential of students through self-organization, optimizes the ability to work with computers and allow themselves to make responsible decisions. Distance education is a form of training and retraining of specialists with higher and secondary special education, as well as a form of education on the job. In modern conditions the solution to the problem concerning the use of information and communication technologies (ICT), particularly program-methodological in educational process is complex. Methodological system of teaching mathematics correspondence students of higher technical school is of practical importance because it helps during the learning process to increase the level of mathematical training of students and to form independent work skills. The paper presents a practical implementation of the developed methodological system, in particular, created program-methodological complex of teaching mathematics correspondence students of engineering specialties. By requirements of teaching mathematics the students of technical universities are features of each component of the guidance system: objectives, content, organizational forms, methods and means of education. The research results can be used in the practice of teaching mathematics in high school while preparing engineering students, distance learning, as well as during the study of other disciplines (physics, chemistry, special subjects) during the development of computer learning tools. The study does not fully solve the problem of improving the methods of teaching mathematics correspondence students of technical universities using program-methodological complex system of distance learning, which enables the prospect of further scientific understanding of the raised issue, particularly in terms of creation of methodological maintenance of the mathematics and the development and use of software tools for the effective use of ICT.
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