Theoretical results of research of revealing of influence of research work in the context of develop-ment of readiness for innovative pedagogical activity of future mathematics teachers in the conditions of magis-tracy are considered. The components that have a positive influence on the development of the readiness of the stu-dents of the magistracy for research work in the condi-tions of the master's environment are revealed. Dominant among them is recognized cognitive-semantic component as a set of theoretical and methodological research knowledge, providing not only the fundamental prepara-tion, but also the development of those qualities of the undergraduate personality, contributing to the implemen-tation of procedural and activity flow of his cognitive functions, aimed at personality mathematics. Methods.Considering the purpose of the research, the following methods were selected: theoretical analysis of national and foreign scientific literature. The research method is a psychological and pedagogical analysis of the influence of research work, which determines the level of formation of the practical readiness of the future mathe-matics teacher for innovative pedagogical activity.Originality.The results obtained are important be-cause they reveal the essence, professional significance of the research work of the students of the magistracy and the levels of its formation, which include scientific-cognitive, project-modeling and activity-creative with appropriate content context, mastering which contributes to the development of professionalism of future teacher’s mathematics. Results.Revealing the essence of research work and outlining its content, structural components, levels of its development determines the creative approach to solving the problem of preparing future masters, mathematics teachers to innovate their professional activity.Conclusion. The conducted research allows to confirm that the effectiveness of research work in the context of the development of the readiness of future masters, math-ematics teachers for innovative pedagogical activity will be fruitful if based on the following positions: ensuring professional and personal expression of students of the magistracy; transition to subject-subject relations between the teacher and the undergraduate in the organization of the educational process. It is important that: enhancing the dialogue of learning through the use of appropriate variant technologies; detailing the system of procedures and operations of supportive learning on the basis of diagnosis, whole-assignment, design and construction in the context of students mastering the cognitive style of thinking of pro-fessional and mathematical activity in the process of research work; creation of conditions for the creative development of the personality of the future mathematics teacher by updating the subjective experience of research activities in the acquisition of modeling technologies, the development of new forms and means of various studies, including mathematization and computerization; the transition of teachers to a humanistic position and the creation of educational cooperation and creativity, the desire for innovation, flexibility in decision-making, the ability to rethink pedagogical experience, both profession-al and personal. In general, revealing the essence of research work, mutually determine outlining its content, structural com-ponents, levels of its development contributes to the pur-poseful solution of the problem of preparation of future masters, mathematics teachers for innovative professional activity activities in terms of magistracy. The problem of more substantive research of the con-cept of research work of students of the magistracy, re-vealing its connection with the formation of research com-petence of the undergraduates and justification of peda-gogical conditions that contribute to the development of readiness in the context of innovative activity of a future mathematics teacher is urgent
The main components of a vocational education teacher of mathematics
