Рассмотрены вопросы профессиональной направленности преподавания математических дисциплин в техническом вузе, актуальность которых обусловлена внедрением новых образовательных стандартов. Проведён анализ научных публикаций по данной тематике и обобщён педагогический опыт авторов. Обоснованы преимущества использования профессионально-ориентированных математических задач в сочетании с электронными образовательными ресурсами в учебном процессе. Приведены примеры задач профессионального характера по математическим дисциплинам и установлены межпредметные связи для ряда образовательных программ, реализуемых в Новосибирском государственном техническом университете. The issues of the applied orientation of teaching mathematical disciplines at university are considered, the relevance of which is due to the introduction of new educational standards. The analysis of scientific publications on this topic is carried out and the pedagogical experience of the authors is generalized. The advantages of using professionally oriented mathematical problems in combination with electronic educational resources in the educational process are substantiated. Examples of applied problems on mathematical subjects are given and interdisciplinary connections are established for a number of educational programs implemented at Novosibirsk State Technical University.

Introduction. Additional education for high school students is considered as an integral part of the sustainable education system. In addition, during the school years there is a period of professional self-determination, so students have an increased interest in classes, which allows them to decide on their future specialty and prepare for admission to university.Purpose setting. To explore the role of a technical university in additional education for high school students in mathematics and computer science and show the priority areas of work of the university with schoolchildren.Methodology and methods of the study. The scientific research is based on legislative and regulatory documents, publications of domestic specialists and personal experience of the authors on extended school studies at the Novosibirsk State Technical University.Results. Additional education is considered from the point of view of the implementation of career guidance for students by a technical university. It is shown that universities play an important role in the scientific and methodological support and staff maintenance of additional education of schoolchildren in the technical direction of training. Based on the results of the analysis of a survey of students and their parents is shown that the participation of students in additional classes increases their self-esteem, which is objectively manifested in the growth of motivation in the study of mathematics and computer science at school, in achievements at conferences of various levels, in the choice of technical specialties. All students attending classes as part of additional education entered technical universities, moreover, none of the guys changed their decision to become a technical specialist.Conclusions. The specificity of additional education allows a technical university toeffectively participate in the system of additional mathematical training of schoolchildren, identify talented students, increase their interest in technical sciences and engage them as applicants to technical universities.

The article is devoted to the problem of establishing the frames to use distant learning in higher education. The topic relevance is related to emerging a force majeure situation associated with a pandemic, which made it possible to carry out a unique experiment on such large-scale training applying. The paper analyzes some aspects of this problem concerning the mathematical discipline learning at the technical university junior courses. The study is based on the analysis of scientific publications by domestic and foreign authors devoted to the problems of mixed learning, distant learning, and peculiarities of teaching mathematical disciplines in universities. The author conclude that the main problems of introducing e-learning and distant learning technologies into the educational process is insufficient motivation of students pronounced especially in junior courses. They note that the effectiveness of using distant educational technologies in additional education is largely due to the good motivation of people who want to improve their professional level. The paper discusses results obtained during the forced transition to distant learning (March-July 2020), in particular, gives the rationale for a certain model of mixed learning. It emphasizes that, as the threat of the pandemic situation repetition, as well as the need for a new transition to e-learning are not excluded, the problem of motivating students should be given special attention at all educational process levels.

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The article is devoted to one of the tragic periods in the history of Udmurtia and the whole country. The repressions of the 1930s affected many people in one way or another. Of particular importance was the law enforcement of state crimes, especially the so-called counter-revolutionary crimes. The actual material of that time showed a violation of human rights. Everyone could be declared and condemned as a counter-revolutionary, regardless of his or her position. As a result of repressions, first of all wealthy peasants suffered. They were declared counter-revolutionaries, the main opponents of all actions of the Soviet power in the village. The failures of the collective and state economy were attributed to the enemies of the people, the activities of counter-revolutionary organizations. Protection from mythical criminals turned into punitive actions, into organized Big Terror. The Udmurt regional material shows that repressions against rural residents and other segments of the population on counter-revolutionary crimes did not differ from other regions of the country.