In this article, the authors consider and analyze the quality of training of future teachers in the system of higher pedagogical education of the Republic of Kazakhstan, based on the need of modern society to train a new type of teacher – a universal (integrated) teacher whose professional competencies will meet the needs of modern education. The importance of integration, integration processes, integrative and other approaches in improving the quality of professional training of future teachers, in the formation of their properties and qualities of an integrative nature is actualized. The authors also note that the scientific works of other researchers place considerable emphasis on the understanding that the methodological level of integration processes in education is closely related to the level of formation of methodological culture among university teachers and the need for future teachers to form such dynamic characteristics as self-development, self-realization, self-actualization, self-determination