The article suggested considering certain components of the professional competence as fuzzy sets and strictly the professional competence as a universal fuzzy set� A model of the projection of a fuzzy individual professional educational trajectory (FIPET) on the basis of modalities is "essentially" and "possibly" presented� The mathematical solution to the problem of the optimum choice of courses of the career enhancement on the basis of the expert estimation of the level of professional competence and one's own preferences of a trainee is proposed� introduction The reform of the postgraduate pedagogical education system in Ukraine contemplates, first of all, de-monopolization, which enables the teacher to choose the content, form and place of their qualification improvement� Simultaneously, an efficient influence on the pedagogical activity productivity is insured only if the content of teacher studying takes into account not only the current level of professional competence, but also peculiarities of professional activity in the workplace� The presented materials are a result of research aimed at the creation of a certain model of an individual professional educational trajectory of pedagogical staff, which will bring into coherence contradictions concerning the peculiarities of the professional competence level assessment on the basis of linguistic variables; the necessity of providing the freedom of choice of professional development on the basis of modern modeling methods� Svitlana Ivashnova

The article presents the results of theoretical (content and essence of the concept of “labour function”) and empirical research (survey of teachers in the format of focus groups). Analysis of the content of the concept of “continuous professional development” and the dynamics of its changes during the teacher’s professional life made it possible to identify the leading competencies that are included in the content of the labour function. Discussion of the content and essence of the labour function “continuous professional development” in focus groups demonstrated some difficulties that the respondents experience in determining the content of the main competencies. The survey also revealed the respondents’ assessments of the existence of certain risks that the norms of the professional standard will be interpreted exclusively as new requirements for the teacher and will not take into account the changes in the requirements for the employer, who is obliged to provide conditions for the implementation of this labour function. The conducted research has confirmed the relevance of the development of the professional standard for teachers and revealed the need for additional explanatory work in the professional environment. The respondents also pointed out that the introduction of this document into practice can become the basis for designing an individual professional educational trajectory for a teacher and creating plans for corporate training for teaching teams. Further research is required by the introduction of a draft professional standard, including a possible revision of the activities of the advanced training system.

The article presents the results of a study of individual strategies for choosing training courses by teachers of general secondary education institutions. The article substantiates the choice of research methods and means for processing the results; describes the methodology for preparing an in-depth interview guide, its conduct, and analysis. The experiment results confirmed the interconnection between the level of demonstration of the extrinsic negative element of motivation for professional development and the Yanis coefficient calculated from the data of the content analysis of the in-depth interview.In the process of research, the educational request of teachers, which is mainly focused on updating methods of action, is specified, which indicates (whether conscious or not) the insufficient effectiveness of traditional professional technologies.The identified selection strategies (focusing on the opinion of significant individuals and accounting for characteristics of professional activity) should be considered not only when developing new training courses, but also when promoting them at the educational services market. The research team prepared relevant recommendations for the developers. Based on the results of the study, the methodological recommendations were developed for the system of postgraduate teacher education. The experiment, which is conducted in 22 educational institutions in Kyiv (Ukraine) and covers more than 1,750 teachers, requires verification in other conditions (small schools in remote regions, regional and district centres) since in the program it is not highlighted the impact of the megalopolis on the activity of teachers, and other local factors that may be significant.