Sidorenko-Nikolashina O. The formation of higher mathematics' concepts system among agrotechnological specialities' students with knowledge mapping

Dissertational research is dedicated to problems of higher mathematics' system of concepts formation on the basis of ordering, structurization and visual presentation of the academic material, subject knowledge field mapping. The concept of knowledge and its peculiarities are specified on its usage in higher mathematics course. The carried out analysis of mathematical education state and ways of its development in the course of higher mathematics has facilitated finding out a series of contradictions in professional training of future specialists in agricultural industry. Theoretical and methodical bases of didactic principles application have been investigated, particularly, use of visual methods principle, principle of systemacy and principle of theory and practice correlation in the process of higher mathematics study which involves students majoring in engineering and technological specialities. Isomorphism of cognitive structures of human memory and structural and logical schemes of academic material presentation in higher mathematics on the basis of psychological and pedagogical literature analysis is established. The package of structural and logical schemes of the total course of higher mathematics is developed for students of agrotechnological specialities. Separate components of technique on the system of concepts' formation in higher mathematics have been developed on the basis of the education continuity concept at transition from school to higher educational establishment, and a number of contradictions of that transition have been defined. The main principles, lying in the base of higher mathematics teaching, are formulated in the thesis. The technique of stage-by-stage formation of system of mathematical concepts has had the further development, control stages over its formation have been selected, criteria for efficiency diagnostics of mastering of the given system have been shaped. In the research the teaching methods on higher mathematics with the use of structural and logic schemes of academic material is theoretically justified and experimentally proved; it can be used by teachers, methodologists, authors of manuals for students of others agrotechnological specialities. It is found out that use of knowledge mapping means in the course of higher mathematics study leads to efficiency raise of system of concepts learning of the subject sphere and knowledge on the academic subject as a whole. Keywords: higher mathematics, system of concepts of higher mathematics, structurization of knowledge, shaping of system of concepts, a teaching technique, teaching material visualization, knowledge mapping, semantic net, structurally-logic scheme, cluster of concepts.