ОРГАНІЗАЦІЯ ДОСЛІДНИЦЬКОЇ ДІЯЛЬНОСТІ СТУДЕНТІВ ПРИ ВИВЧЕННІ ВИЩОЇ МАТЕМАТИКИ
Organization of research work of students in the study of mathematics
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Effective organization of research activity of students is an urgent task of the teacher of mathematics. Modern educational process at the university is focused on the usage of reproductive techniques and little training is provided with appropriate means for the development of creativity and research skills. Article aims to offer a method of teaching students of educational organization to study the prominent curves (for example, academic research on «logarithmic spiral»). We have used the scientific and pedagogical research methods, among which theoretical and empirical methods, including analysis of the literature on the issue of research, systematization and generalization of pedagogical experience, the theoretical modeling of the development of research capabilities, its experimental realization. Research activity of a student is an independent academic work, which involves the «discovery» of knowledge, has a subjective significance and originality, creativity and independent study of the topic. It is proved that the educational research is a process and the result of the student’s research activity. The technique of the organization of research activity of students for the study of prominent curves is proposed; an example of academic research on «logarithmic spiral» is also present; outstanding curves which have practical application are considered. The research work of students of a technical college for the study of outstanding curves connects the study of higher mathematics course with mastering the fundamentals of professional activity. We believe that the discovery of properties of prominent curves integrates the knowledge of students from different academic areas and encourages a comprehensive analysis of the objects of research. During the research increases an interest in mathematics and the motivation of learning, and as a result comes the development of student’s individuality. Further scientific development of the considered problems can be associated with the creation of methodological maintenance of independent research, writing of guidelines, containing a set of professionally-oriented tasks of research character on higher mathematics.
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