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1 | Discusses a component composition of the subject competence of students of teacher training universities in the theory of algorithms and also contains the results of scientific research conducted in order to confirm the effectiveness of the developed technique of training course «Theory of algorithms», based on the analytic-synthetic activity. Methods of teaching are based on the use of analytical and synthetic tasks, visualized educational materials in the educational process, modeling of the studied processes and events with the help of ICT, providing conscious perception of the course content. Assessing individual components of the subject competence in the theory of algorithms is implemented with account of the importance of each and determines the general level of formation of subject competence. Keywords: subject competence, theory of algorithms, analytic-synthetic activity, analytical and synthetic tasks, results of pedagogical experiment | 699 |