The main methods and importance of educating children with physical culture through active games were discussed.

This article describes the goal and content of the methodology of teaching music, specific (optimal) methods of teaching music and their types.

This thesis addresses issues related to organizing internal audit in joint-stock companies based on national and international standards and explaining it based on international standards. Also, information on the effectiveness of the corporate governance system, which can be achieved through the effective organization of internal audit in joint-stock companies, is provided from foreign experience. As a result of the study, issues of improving the internal audit process based on international requirements were considered, and corresponding conclusions and proposals were formed.

The subject of series is one of the most important works that has always been of interest in the field of mathematics analysis and plays a fundamental role in solving complex mathematical problems. Especially the power series of complex numbers, which has significant advantages in mathematics. The purpose of this research is to investigate and understand series of complex numbers. In this research, the latest articles, theses, treatises and numerical analysis books have been used. In the numerical analysis of series of complex numbers, it is one of the most important and widely used branches. Since no comprehensive research has been done on this issue until now and most researchers have used less series of complex numbers in their research, which series of power solves many complex problems of mathematics easily, including its applications in the root of numbers. Negative are arithmetic and geometric series, Taqat and Taylor series. In this article, open and closed library pages and authentic internet articles have been used. It is worth mentioning that this article is important for all those interested in mathematics and especially for those interested in mathematics, engineering, physics and computer science, and they can use the contents of this research in their scientific and academic life. Since series in complex numbers has different branches, I have tried to include the topics of series of complex numbers in this research so that it will be a good extension for the researchers of mathematical science in the future.

This article talks about the organization of training for children of preschool educational organizations through role-playing games. This includes the organization and implementation of training taking into account the child's personal abilities and age limit.