FORMATION OF RESEARCH COMPETENCY OF FUTURE TEACHERS OF MATHEMATICS BY CLOUD TECHNOLOGIES

Introduction. Today, the disparate knowledge of graduates of higher educational institutions (HEIs) from various subjects is no longer satisfactory to employers. The main reason is that differentiated knowledge does not provide sufficient opportunities for their successful application in practical and professional activities, and graduates of universities do not have sufficiently flexible abilities for their application. Purpose. To prove theoretically the methodological foundations of the formation of the research competence of future teachers mathematics of by means of cloud technologies. Methods: - theoretical - analysis of philosophical, psychological and pedagogical, methodical literature; - empirical - analysis of the experience of teachers of pedagogical higher educational institutions; - experimental - pedagogical experiment for checking the effectiveness of pedagogical conditions; - statistical - verification of the validity of the results of the pedagogical experiment. Results. Mathematics and the system of mathematical knowledge occupy a special place in the universal human knowledge system, fulfilling the role of the language of science, the language of scientific research. Getting mathematical competences by the students is one of the most important components of life competencies. The result of the readiness of the future teacher for research work is the formation of research competence. In today's information society, different types of ICTs, clouds in particular, occupy an important place in shaping the research competence of future mathematics teachers, which today are the most effective means of using ICT in education, in particular, in the research work of the studentsmathematicians. Originality. Our scientific researches have allowed to distinguish the contradictions that exist in the training of future teachers of mathematics in the development of research competence by means of cloud technologies:1. The contradiction between the level of information society, in particular the availability of cloud technologies and their capabilities and the inadequate level of use of these opportunities in the system of professional training of future mathematics teachers in Ukraine. 2. The need for a rethinking of the role of modern ICTs for the qualitative training of future mathematics teachers in order to meet the needs of the state and the inadequate level of scientific development of the problems of using the possibilities of ICT in the professional training of teachers. 3. The contradiction between the capabilities of cloud technologies and the insufficient scientific and methodological support for their use in the formation of research competence in the teaching of mathematics. Conclusion. On the basis of the analysis of scientific, psychological, pedagogical and methodological literature, as well as practical researches, it became clear that research competence enables students and undergraduate students to independently build research work and thus create their own trajectory of professional training.