The article discusses the quality problems of preschool education and analyzes the processes of methodological support for the professional activities of young specialists of preschool educational organizations. The possible nature of the relationship between the quality management of pedagogical activity in the system of preschool education and the quality of the results of pedagogical activity is analyzed. During an empirical study, the authors analyze the responses of students studying at the Altai State Pedagogical University (Barnaul, Russia) and review the answers of specialists in the field of preschool education to define the concept of "quality of preschool education." As part of a questionnaire survey and an associative experiment, the authors provide and discuss highly valuable results on the the quality of pedagogical activity of young teachers working in preschool educational organizations. In addition, the article focuses on the possibility of implementing the main provisions of the Program of Scientific and Methodological Support for the Professional Activities of Young specialists in the Altai region of the Siberian Federal District (Russia).