The purpose of this study is to analyze the exhibition activities of Novosibirsk city museums in the anniversary year of 2020. At the present time at the forefront is the problem of uniting citizens on the basis of a single idea, which should be aware and close to everyone. Achieving this goal contributes to familiarity with the history, the formation of pride for their homeland.

The author of the article conducted a survey of teachers of general education institutions in 15 regions of our country, the purpose of which was to determine the satisfaction of teachers with vocational education (advanced training) programs. It was found that more than 70 % of teachers are not satisfied, or are not fully satisfied with the quality of such programs.

The relevance of the development of the system of natural science education is recognized by all countries, the leaders of the world economy. In order to ensure high rates of socio-economic development, the state needs to conduct basic natural science research as the basis for scientific and technological progress. Accordingly, society needs specialists with a high level of development of natural science competence.

The introduction describes the relationship between the ideas of lifelong education and entrepreneurship in education, substantiates the relevance of the development of this direction in higher education. Based on the use of methods of theoretical and empirical research, the necessity of developing master's program in the context of higher education is substantiated. The appeal to psychological knowledge allowed the author of the article to draw a parallel between the ideas of lifelong education and entrepreneurship.

Important issues of modernization of the education system with the use of information technologies at the present stage are raised. The problems of topographic training of cadets of military institutes are updated. The analysis of the development of these issues in the modern literature is carried out. It is emphasized that a modern officer must have a high level of military professional training in this field. The essence of topographic training is considered and its content for cadets of a military university is determined.

This article actualizes and analyzes the issues of continuous professional development of teachers, diversification of forms and technologies of such development. In this regard, the factor of innovativeness, the features of the educational environment of the school are considered as motivators for the teacher to change the methodology, mastering modern means and tools of teaching, control and evaluation activities.

The article is devoted to the issue of determining the framework and content of historical periods, which is relevant both for the sphere of history education and for applied scientific research. The methodological basis of the study is a complex of general scientific and special historical concepts, the application of which allows to substantiate the periodization of the historical process on the basis of the criteria of objectivity and scientific character.

The article discusses various classifications and typologies of mathematical problems: by the nature of the mental activity of students, by didactic goals, by the type of thinking in the process of solving, and others. A typology of tasks was identified that can be applied in the educational process when monitoring the understanding of educational material.

Keywords: mathematical problem; classification; typology; mental activity.

In era of intensive development of Internet technologies and online education, the health of the modern generation raises a great concern. In these conditions, it is vital and extremely important to develop modern university students' healthy lifestyle in physical education. The aim of the current paper is to analyze and generalize the role of physical culture in the formation of modern students' healthy lifestyle in non-physical education universities.

 Problem statement. It is curious to reflect that so much importance has been given to the actual issues of the problem under consideration in terms of current historiography scientific Scholarship of «People within power» & «Power in search of people» within «management techniques» of the Palace Coups d'Etai of the XVIII-th century. Both the structural model and the functional/communicative model have, in their different ways, consistently played it.