In work characteristics of the mixing device of new type and principles of its work are given. The geometry of liquid, stream has been ivestigated arising in a tank when operating. Offers of rationalization character were brought.

An interdisciplinary connection in the school learning process is a necessary condition for successful teaching. Properly executed drawing of geometric shapes according to the rules of rectangular projection is one of the solutions of mathematical problems in geometry. Such ways of construction as the replacement of the projection planes, rotation and alignment demonstrate finding out of an actual size of a segment and a plane.

The article deals with the geometric interpretation of complex numbers, the possibilities of applying a transformation of the plane, and examples of solving problems.

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.