Annotation: Based on the psychological aspect of the concept of "qualification", the article analyzes the main directions of the formation of methodological qualifications of future teachers of mathematics and advanced training in pedagogical universities. It is possible to achieve high-quality teaching of geometric subjects in higher educational institutions by using methodological and meaningful methods in organizing the educational process. The creation of a certain structure of the educational process, the definition of teaching methods and means, the careful selection of subject content were determined by the specific principles of pedagogy. Basically, these principles are the real achievements of modern pedagogy and are constantly changing. The existing system of didactic principles can be gradually changed and expanded The purpose is to choose the main didactic principles and to offer a scientific-methodological basis for improving the methodological preparation of future mathematics teachers in the Pedagogical University for solving and teaching geometrical problems. In this regard, interviews, questionnaires, analysis of the curriculum and its content, as well as discussions with experienced teachers and methodologists in teaching geometry were conducted; pedagogical control and diagnostics of the educational process were carried out. In order to test the effectiveness of the methods proposed by us, pedagogical experiments were carried out. The entire system of training future teachers of mathematics faces new challenges related to the implementation of effective didactic principles for teaching geometry in pedagogical universities. First of all, it is the principle of mastering innovative teaching methods of the future teacher of mathematics and the principle of mastering new pedagogical and information technologies of education. The results of the study can be used as a methodological basis for further research on the professional orientation of teaching mathematics in universities.

Annotation: The article examines the emergence and functioning of the Soviet institutions of power in Kazakhstan during the period of "war communism". On the basis of archival materials and published works, the author analyzes the activities of Soviets and revolutionary committees. The purpose of the article is to study the main trends and features of the development of local government in Kazakhstan in 1918-1921. The study is based on the principles of historical, scientific objectivity and systemic structural-functional analysis. For this reason, the author used such methods as the method of historical reconstruction for the reorganization of the administration of Soviet, party and other local bodies; the method of isolation for the study of local (regional) features in relation to local phenomena and processes in the energy sector; the method of typology, which made it possible to identify and describe different types of local authorities. The authors come to the conclusion that in 1918-1921, during the period of civil resistance, "war communism" and the beginning of the Chamber of Commerce and Industry, bodies of the new Soviet power appeared and operated in Kazakhstan. They are characterized as having an anti-democratic character; strict social orientation; alienation of indigenous peoples; immanent nature for creating conflict situations; choosing non-optimal ways and means of solving a problem situation; unification of party and state. As a result, an overgrown and clumsy class of party classification was formed, which was not provided for by the Constitution of the USSR.