Abstract
The article sets forth the author's views on the directions and means of implementing the principles of student-centered approach in the fundamental mathematical education of future mathematics teachers, with the emphasis on computer support as one of the key factors in the formation of digital competence and meeting learning requests and needs of students. The importance of the problem is determined by the need to identify ways to build methodological systems of student-centered education for students of higher pedagogical institutions, in the context of digitalization of educational space and the specifics of the profession and individual disciplines. The authors of the study made an attempt to highlight the theoretical, organizational and technological aspects of the use of the complex number formula calculator CaRevolJet and mathematics computing environment Maple for the complex analysis course in order to develop digital and methodological competencies of future mathematics teachers. The research involved the use of such theoretical and empirical methods as a systematic analysis of scientific and pedagogical sources, European and national recommendations and regulations for the implementation of the updated concept of student-centered learning and the formation of digital competence of the teacher; examination of published materials with insights into pedagogical experience on the research problem; pedagogical observation on the basis of Berdyansk State Pedagogical University (Berdyansk, Ukraine), interviews and surveys of students. The article provides detailed guidelines for the use of CaRevolJet and Maple in solving various types of practical problems of complex analysis, determining the place of this activity in the overall structure of the educational process and establishing links with the future profession. Positive results of approbation of the developed materials in the basic institution of higher education allow determining the prospects of further scientific research in the chosen direction on the basis of what has been achieved. Key words: student-centered learning, future mathematics teacher training, computer support for complex analysis, CaRevolJet, Maple.
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