UDC 378

DOI: http://doi.org/10.15350/2409-7616.2023.2.04

Genvareva Yu.A.¹ (Orenburg, Russian Federation) – genvar@mail.ru, Marchenkova N.G.² (Orenburg, Russian Federation) – nata_nata1973@mail.ru

¹Samara State University of Railways

²Gubkin Russian State University of Oil and Gas

Abstract. The dynamic development of science and manufacturing industries in modern conditions places high demands on the training of engineering personnel. A key role is played by a high level of mastery of competencies by future graduates of technical universities. In this regard, it is necessary to develop new approaches, forms and methods of organizing classes for disciplines taught in branch universities. It is important to train specialists in the field of engineering sciences capable of professional growth in the context of the development of new high-tech technologies and informatization, automation of production, capable of developing new technologies. Therefore, universities should teach fundamental basic knowledge taking into account innovative approaches. The purpose of the research conducted by the author of this scientific work is to develop new principles and methods for training qualified engineering personnel with an in-depth understanding of mathematics and its applied capabilities in engineering issues of the railway industry. The author reviews the existing and most popular methods of teaching mathematics in engineering universities, analyzes the points of view of scientists. The novelty of this study is that teaching higher mathematics at a railway university is associated with the consideration of professional tasks. Using the knowledge of the mathematical apparatus when considering real technological processes allows future engineers to develop causal knowledge between academic knowledge of the discipline and real processes. The results of the study are presented, which show that in those student streams where mathematical knowledge was actively considered and applied in solving practice-oriented problems, the percentage of interest and involvement of students in the educational process is much higher than when studying the discipline using traditional methods of studying the discipline. This is confirmed by the higher average score for groups. Changing the content of the material in terms of practical orientation, consideration of real models in solving mathematical problems, which is aimed at implementing the principles of continuity, applied orientation, meets the requirements of continuity and integrity, unity and consistency of students’ education at a technical university.

Keywords: mathematics, methods of mathematics in higher education, technical university.

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For citation: Genvareva Yu.A., Marchenkova N.G. Modern approaches to teaching mathematics at a technical university. CITISE, 2023, no. 1, pp. 50-57. DOI: http://doi.org/10.15350/2409-7616.2023.2.04