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Abstract: The paper deals with the activity component of professional preparation for pedagogical activity, which includes two types of preparation: theoretical (knowledge) and practical (required skills). The paper identifies and describes the levels of professional preparation for pedagogical activity: preliminary preparation, initial adaptive preparation, productive preparation and competence preparation. The authors disclose the features of relationship between the stages of formation of the required knowledge and skills of mathematics teachers and the level of professional preparation for pedagogical activity. The article singles out the required knowledge and skills of the mathematics teacher, acquisition of which is necessary to achieve a certain level of professional preparation for each of the key periods of training in a pedagogical higher school (from the beginning of the course to the basic course of study of methods of teaching and education in mathematics education; from the beginning of the study of the course of methods of teaching and education in mathematics education to the first teaching practice; from the beginning of the first teaching practice to the start of the second one; from the beginning of the second teaching practice to the end of the state certification). The article defines the teaching tools (methods and teaching aids) to be used for the formation of professional preparation of each level, taking into account the specific features of the studied disciplines included in the corresponding key period of study at the university.