The article considers pedagogical practice as a component of the methodical system of formation of readiness of would-be teachers majoring in Mathematics for innovative pedagogical activity. The research paper describes the readiness of the would-be mathematics teacher for innovative pedagogical activity as an integrative quality of his personality, which is the result of the synthesis of motives, values, knowledge, skills, and practical subjective experience and provides successful pedagogical activity aimed at creating, disseminating and consciously and purposefully using innovations in the process of learning Mathematics. The authors substantiate the role of pedagogical internship in the process of forming the readiness of would-be Mathematics teachers for innovative pedagogical activity. Pedagogical practice not only helps students gain experience in organizing educational, extracurricular, and extracurricular activities, skills, attitudes, and values of pedagogical activities but also allows them to get acquainted with the innovative pedagogical experience of working teachers, to see examples of such experience in the educational process. What is more, the authors specify and illustrate the tasks of pedagogical internship at the first (propaedeutic) stage of formation of readiness for innovative pedagogical activity, methodical aspects of the formation of readiness of would-be teachers majoring in Mathematics in the process of propaedeutic pedagogical internship at the first level of higher education, traditional tasks of the pedagogical internship. In particular. The study considers the creation of a portfolio of innovative activity, preparation of projects, acquaintance with experience of innovative pedagogical establishments, carrying out of mini-trainings, round tables, virtual excursions, etc. It is expedient to structure the portfolio of innovative activity in the following directions: ways, receptions, means of increase of motivation of students, creation of a situation of success in the educational process; innovative forms of classes; innovative forms, methods, means of control; ways, methods of organizing reflection; innovations in the organization of extracurricular activities of students; innovative forms of activity of public organizations, organizations of school self-government. Key words: readiness for innovative pedagogical activity, pedagogical internship, Mathematics teacher, pedagogical innovations.