#### Lanina S.Yu.

### METHODOLOGICAL FEATURES OF STUDYING RANDOM VARIABLES IN A SCHOOL MATHEMATICS COURSE

**UDC 372.851**

DOI: http://doi.org/10.15350/2409-7616.2023.4.39

**Lanina S.Yu.**^{1} (Blagoveshchensk, Russian Federation) – swetl.lanina@yandex.ru

^{1}Blagoveshchensk State Pedagogical University

**Abstract.** Based on the federal state educational standard of basic general education and secondary general education of the new generation, and also taking into account the Concept of the development of Russian mathematical education, the process of updating tasks relating to updating the content of the Mathematics curriculum is taking place. An innovative component of this process is the introduction of a new subject “Probability and Statistics” into the “Mathematics” curriculum. Studying the elements of probability theory and statistics allows you not only to immerse yourself in a fascinating and interesting learning process, but also contributes to the formation of the student’s mathematical culture and the development of probabilistic thinking. Also, in the learning process, it is necessary to show that the basic concepts, laws of probability theory and statistics are used not only in a narrow, specialized circle of mathematical and technical sciences, but also have wide application in economics, sociology, architecture and other sciences. The purpose of the study is to identify the main methodological features of studying the “Random Variables” section in a school mathematics course. The practical significance of the study lies in the fact that the main methodological features of the study of random variables are identified and described in detail, for each of which illustrative examples are given. Particular attention is paid to the process of drawing up the distribution law for a discrete random variable; an algorithm for its construction is described, which is described in detail using a specific example. The methodological features of studying the “Random Variables” section presented in the article can be successfully applied in the educational process of a practicing mathematics teacher, which will not only facilitate the teacher’s preparation for the lesson, but also contribute to a more effective study of this section.

**Keywords:** methodological features, random variables, mathematics, basic general education, secondary general education.

**References:**

- Kolobov A.N. Features of teaching elements of probability theory in a school mathematics course.
*World of science, culture, education*, 2021, no. 4(89), pp. 128-130. (In Russian). URL: https://elibrary.ru/item.asp?id=46523375 - Polyakova A.Yu.
*Continuous formation of stochastic culture of schoolchildren in the context of digital transformation of general education.*Moscow, Infra-M Publ., 2023. 212 pp. (In Russian). URL: https://elibrary.ru/item.asp?id=49703804 - Entina S.B., Yudovin M.E. On the issue of statistical research in a school mathematics course.
*Computer tools in education*, 2020, no. 3, pp. 100-128. (In Russian). URL: https://elibrary.ru/item.asp?id=44782687 - Minakova P.S., Kleshcheva A.A. Probability theory as a tool for meta-subject teaching.
*Bulletin of Adygea State University. Episode 3: Pedagogy and psychology*, 2022, no. 4(308), pp. 90-98. (In Russian). URL: https://elibrary.ru/item.asp?id=50170101 - Evseeva E.G. Development of methodological competence of a mathematics teacher in designing teaching content line “Elements of combinatorics, probability theory and statistics”.
*Didactics of mathematics: problems and research*, 2022, no. 2(56), pp. 57-66. (In Russian). URL: https://elibrary.ru/item.asp?id=50762440 - Voitenko T.Yu., Firer A.V. Various approaches to defining the concept of probability in a basic school mathematics course.
*Problems of modern teacher education*, 2022, no. 76-1, pp. 78-81. (In Russian). URL: https://elibrary.ru/item.asp?id=49469754 - Gurbanberdieva A., Khydyrova A.G. Features of studying probability theory and expectation theory in mathematics.
*Bulletin of Science*, 2022, vol. 5, no. 10(55), pp. 211-215. (In Russian). URL: https://elibrary.ru/item.asp?id=49601998 - Octanov K., Shukrulloev B.R., Azimov A.A. Some features of studying theorems of addition and multiplication of probabilities at school.
*Academy*, 2019, no. 11(50), pp. 27-28. (In Russian). URL: https://elibrary.ru/item.asp?id=41369502 - Zubova E.A. Elements of probability theory in a high school course in preparation for the OGE.
*Pedagogical issues*, 2020, no. 7-1, pp. 73-75. (In Russian). URL: https://elibrary.ru/item.asp?id=43128021 - Kobzar A.N. Studying elements of higher mathematics by future medical specialists.
*Sustainability Management*, 2019, no. 4(23), pp. 95-102. (In Russian). URL: https://elibrary.ru/item.asp?id=41287881 - Khotuleva O.V., Yushchenko Yu.A., Eshbaeva G.B. Implementation of a meta-subject approach in teaching biology in secondary school.
*Problems of modern teacher education*, 2021, no. 71-3, pp. 260-264. (In Russian). URL: https://elibrary.ru/item.asp?id=46587349 - Lykova K.G. Organization of ideologically oriented training in stochastics for high school students.
*Continuum. Mathematics. Computer science. Education*, 2021, no. 4(24), pp. 22-31. (In Russian). URL: https://elibrary.ru/item.asp?id=47442426 - Dvoryatkina S.N., Shcherbatykh S.V.
*Theoretical and methodological support for fractal formation and development of probabilistic thinking style in the process of teaching mathematics.*Moscow, Flinta Publ., 2020. 440 pp. (In Russian). URL: https://elibrary.ru/item.asp?id=44042673 - Evdokimova G.S., Senkina G.E. Aspects of the formation of stochastic culture of students in the educational process.
*Modern problems of science and education*, 2022, no. 4, pp. 30. (In Russian). URL: https://elibrary.ru/item.asp?id=49404398 - Evdokimova G.S., Senkina G.E. Methodological notes on the implementation of a stochastic line in a high school mathematics course.
*Modern problems of science and education*, 2021, no. 2, pp. 63. (In Russian). URL: https://elibrary.ru/item.asp?id=45687513

**For citation**: Klipakova D.M. Meaningful viewing of an authentic movie with the purpose of forming the “image of a teacher” in bachelor students of pedagogical direction. CITISE, 2023, no. 4, pp. 430-438. DOI: http://doi.org/10.15350/2409-7616.2023.4.39