This study aimed to determine problems of preservice teachers on technological pedagogical knowledge skills. The socio-economic transformations taking place in the country indicate the presence of a society’s need for a person who has the ability to set goals and achieve them independently. In this regard, education is faced with the task of forming the personality of the future teacher as a subject capable of diagnosing the process and results of its activities. However, the educational technologies used at the university most often alienate students from educational activities, offering ready-made goals, ways to solve them, and thereby exclude them from the diagnostic process. A change in the modern educational situation actualizes the formation problem of technological pedagogical knowledge skills in a future teacher. The article deals with the development of a scientifically-based system for preparing students for diagnostic activity, which includes theoretical and practical training at the university. The practical significance of the research results lies in the possibility of using the developed methodological recommendations in the practice of training specialists in the field of primary education.   Keywords: Technological pedagogical knowledge, skills, knowledge assessment, preservice teachers, teacher education.

This study aims to develop primary school students’ general development exercise skills and reveal teachers’ views about their professional development on learning technologies in physical education. Mixed method was used in the study with experimental and qualitative research methods. The main relevance of this study is an analysis that conducts an experiment of a system of general development exercises that are used to perform independently by primary school students to clarify, verify the results of the study and test an effective experimental method in this direction. During the study, the experimental groups and control group of primary school students were included and the results of experiment and qualitative data were analysed. In addition, the study revealed comparative data with analysis, synthesis, questionnaires, diagnostics and other practical methods. As a result of the experimental work, a system of specific general developmental exercises (GDE) aimed at developing the skills of independent performance by primary school students through GDE was developed. Elements of life movements taken from various roots of Kazakh national culture were introduced into the system of GDE within the framework of cooperation with class teachers, a series of thematic methodological seminars were held for physical education teachers and a methodological guide was developed. Results of this study provided practical implications for primary school teachers to use systems of a new direction of preparing children for a healthy lifestyle.   Keywords: General development exercises, primary school teachers, students, physical education.