The strategic guidelines in determining the theoretical and methodological principles of the system for the development of the methodological and mathematical competence of future Mathematics teachers is the implementation of the personality-oriented paradigm of education; creation of conditions for subject-subject interaction of participants in the pedagogical process; compliance with the provisions of the systemic, personality-active, integration-technological and competence approaches, the optimal combination of traditions and trends in the development of methods of mathematical education within the modeling of the content, forms and methods of organizing of the educational process. The main principles are highlighted – feasibility, integration, functional completeness, continuity, professional and pedagogical orientation, on which the pedagogical conditions for ensuring the effectiveness of the development of methodological and mathematical competence of a future teacher of mathematics are based. The use of the listed theoretical foundations in the professional training of future mathematics teachers has confirmed the effectiveness of the developed model.