UDC: 
378.147
Golysheva Svetlana Pavlovna
Кандидат педагогических наук, Assoc. Prof. of the Department of mathematics, Irkutsk State Agrarian University named A.A. Yezhevsky, golyshevasp@yandex.ru,Irkutsk, Irkutsk

Professional-Active Approach to Solving of Content-applied Problems in Mathematics Study by Students of Agricultural University

Abstract: 
The article is devoted to the issue of teaching mathematics to students of an agricultural university in the context of its applied focus. The main place is given to the construction of a methodological structure for teaching the solution of content-applied mathematical problems, which is based on a professional-activity-based systemic approach. The purpose of the article is to develop a methodology for teaching students of an agricultural university to solve content-applied problems in the process of studying mathematics. The article reflects didactic, methodological, psychological aspects related to this research problem. A general concept of a content-applied problem is given. Methodology. This study was conducted on the basis of scientific materials and works of scientists, teachers, psychologists dealing with education issues and specialists in the field of the problem under study. The experimental part of the study was carried out from 2021 to 2024 at the Federal State Budgetary Educational Institution of Higher Education “Irkutsk State Agrarian University named after A.A. Ezhevsky”, in which 60 first-year full-time students of engineering and technical bachelor’s degree programs took part. During the experiment, the following methods of scientific research were used: analysis, synthesis, analogy, abstraction, induction, deduction. Results of the study. The results obtained in the course of the study indicate a high level of productivity in the application of the developed methodology, which contributes to the systematization, activation of fundamental knowledge, skills and abilities obtained in the course of studying mathematics; their formation, consolidation and application of mathematical methods and techniques in solving substantive and applied problems.
Keywords: 
methodology of teaching mathematics; applied orientation of mathematics; content-applied problems; mathematical education; mathematical training; students; agricultural university
References: 

1. Raenko, E. A., 2014. On the problems of teaching and studying the stochastic line at school and university. Scientific and pedagogical review, no. 4 (6), pp. 32–36. (In Russ.)
2. Golysheva, S. P., 2020. Application of mathematical modeling in professionally oriented teaching mathematics to students at an agrarian university. Pedagogical journal, T. 10, no. 4-1, pp. 289–300. (In Russ.)
3. Ogoltsova, E. G., 2018. Formation of professional competencies among students in the study of non-core disciplines. Siberian Pedagogical Journal, no. 5, pp. 62–68. (In Russ.)
4. Stepkina, M. A., 2018. Model of the methodology for forming the readiness of first-year students to study mathematics at a university. Izvestiya VSPU, pp. 42–48. (In Russ.)
5. Maksimova, E. A., 2019. The anthropological component of competence-oriented vocational education. Siberian Pedagogical Journal, no. 1, pp. 63–69. (In Russ.)
6. Tovarnichenko, L. V., Stepkina, M. A., 2016. Actualization of mathematical knowledge of first-year students. Science and School, no. 5, pp. 102–105. (In Russ.)
7. Golysheva, S. P., 2020. The development of spatial thinking of students of engineering and technical directions through the study of multiple integrals. Pedagogy. Questions of theory and practice, T. 5, iss. 4, pp. 532–539. (In Russ.)
8. Kutarova, E. I., Samokhin, A. V., 2013. Formation of mathematical culture of students of radio engineering training. Pedagogical education in Russia, no. 2, pp. 187–193. (In Russ.)
9. Golysheva, S. P., 2020. Optimization of approaches to teaching mathematics to students in an agricultural university in accordance with the type of thinking. Modern problems of science and education, no. 3. Available at: https://www.elibrary.ru/download/elibrary_43079487_11502053.pdf (accessed: 05.10.2024). (In Russ.)
10. Toropova, S. I., 2018. Mathematical apparatus as a source of formation and implementation of research activities of environmental students. Izvestiya VSPU, pp. 33–42. (In Russ.)
11. Kiiko, P.V., 2015. Mathematical model as a method of solving the problem of competitiveness of universities and improving the research competence of students. Omsk scientific bulletin, no. 4 (141), pp. 166–170. (In Russ.)
12. Golysheva, S. P., 2022. Professionally oriented mathematics education in higher education as a tool for the formation of professional competencies among students – future farmers (by the example of studying the function of many variables). Modern psychology and pedagogy: problems and solutions, T. 4 (55), pp. 59–64. (In Russ.)
13. Gridchina, V. B., Osipova, L. A., 2018. Methodological features of the leveling course of mathematics for bachelors in the direction of “Applied mathematics and computer science”. Bulletin of TPSU, no. 7 (196), pp. 168–173. (In Russ.)
14. Golysheva, S. P., 2023. Information technologies as a means of forming geometric and graphical competence in mathematical training of students. Digital technologies in education, science and agriculture, pp. 27–34. (In Russ.)
15. Lungu, K. N., 2014. Foundation of personal experience as the basis of professional and applied orientation of a student of a technical university. Izvestia of MSTU “MAMI”, no. 2 (20), T. 5, pp. 146–152. (In Russ.)
16. Yanovskaya, N. B., Larchenkov-Kazanovich, Yu. V., 2010. The concept of funding in teaching mathematics to students of a technical university. Kazan Pedagogical Journal, no. 3, pp. 82–88. (In Russ.)
17. Paleeva, M. L., 2009. Experience in the development of mathematical competence of students of technical specialties. Bulletin of TPSU, iss. 10 (88), pp. 122–128. (In Russ.)
18. Raven J., 1977. Education. Values and society: The objectives of Education and the Nature and Development of Competence, 351 p. (In Eng.)
19. Zykova, T. V., Kuznetsova, I. V., Tikhomirova, S. A., Smirnov, E. I., 2017. Criteria for selecting the content of teaching mathematics to pedagogical university students based on a synergetic approach. Yaroslavl Pedagogical Bulletin, no. 5, pp. 75–81. (In Russ.)
20. Dmukh, G. Y., 2014. Mathematical education of an electrical engineer. Psychology and methodology: methodology and problems of practical application, pp. 127–131. (In Russ.)
21. Detushev, I. V., 2014. On the relationship between the trends of fundamentalization and practice orientation in teaching mathematics to students of economic specialties of universities. Scientific notes: electronic scientific journal of Kursk State University, no. 1 (29), pp. 234–238. (In Russ.)