PERSONAL RESULT OF «THE VALUE OF SCIENTIFIC KNOWLEDGE» IN THE METHODOLOGICAL SYSTEM OF ADAPTIVE TEACHING OF MATHEMATICS AT SCHOOL

The article considers the issue of the relationship between the components of the methodological system of teaching mathematics, presented in the target, subjective, content and procedural components in the context of implementing the requirements of the standard for achieving such a personal result as «the values of scientific knowledge» by schoolchildren. In particular, the subjective component of «the values of scientific knowledge» is determined, which, coupled with the rapid introduction of digital technologies, is a prerequisite for adaptive teaching of mathematics. Accordingly, the goal of the work is to develop a methodology for adaptive teaching of mathematics aimed at achieving personal results by schoolchildren, in particular the values of scientific knowledge. The result of the developed methodology is the fact that appropriately selected forms, methods and means of teaching determine the procedural component in the system of adaptive teaching of mathematics. For this purpose, in the work, teaching methods are analyzed from the position of identifying the volume and content of the concept in question. The forms of training are determined based on the levels of educational influence and the corresponding social environment of the student. Teaching tools are considered in the context of the digitalization of the educational environment. This consideration allowed us to establish the interrelations of the process of teaching mathematics with the «values of scientific knowledge» through connections with the components of the latter. The content component of the methodology under consideration is defined in the article by means of mathematical and educational tasks.

1. Federal State Educational Standard of Basic General Education: Approved by order of the Ministry of Education of the Russian Federation dated May 31, 2021 No. 287. Moscow. 2021. 124 p.

2. Changes to be made to the federal state educational standard of secondary general education, approved by order of the Ministry of Education and Science of the Russian Federation dated May 17, 2012 No. 413: Approved by order of the Ministry of Education of the Russian Federation dated August 12, 2022 No. 732. Moscow. 2022. 84 p.

3. Bychkov V. A., Patoka S. S. Adaptive learning in the digital age: integrating artificial intelligence and pedagogical methods. Upravlenie obrazovaniem: teoriia i praktika = Education Management: Theory and Practice. 2023; 11-1(70). 92-100. (In Russ.).

4. Lukashenko D. V. Modern trends in education: analysis and prospects. Alma Mater (Vestnik vysshei shkoly) = Alma Mater (Bulletin of Higher School). 2024; (6). 79-83. (In Russ.).

5. Strelnikova L. N., Maiatskaia V. A., Nikotina E. V. Formation of scientific knowledge values in primary school students in the context of educational research. Problemy sovremennogo pedagogicheskogo obrazovaniia = Problems of modern pedagogical education. 2024; (83-1). 239-242. (In Russ.).

6. Semenov A. A., Iaitskii A. S. Formation of values of scientific knowledge through educational and research activities of students (using biology and ecology as an example). Sovremennaia nauka: aktualnye problemy teorii i praktiki. Seriia: Gumanitarnye nauki = Modern Science: Current Problems of Theory and Practice. Series: Humanities. 2020; (12-3). 49-54. (In Russ.).

7. Disko M.R. Value-based determination of scientific knowledge. Filosofiia i sotsialnye nauki: nauchnyi zhurnal = Philosophy and social sciences: scientific journal. 2008; (4). 39-44. URL: https://elib.bsu.by/handle/123456789/9187.

8. Ivashevskii S. L. Values of scientific knowledge in the modern knowledge society. Vestnik Nizhegorodskogo instituta upravleniia = Bulletin of the Nizhny Novgorod Institute of Management. 2015; 1(34). 33-36. (In Russ.).

9. Cletckin M. V. Value attitude in scientific knowledge. Izvestiia Uralskogo federalnogo universiteta. Seriia 3: Obshchestvennye nauki = Ural Federal University News. Series 3: Social Sciences. 2016; 11-2(152). 49-59. (In Russ.).

10. Krechetov I. A., Romanenko V. V. Implementation of adaptive learning methods. Voprosy obrazovaniia = Educational issues. 2020; (2). 252-277. (In Russ.).

11. Kirillov P. A. Adaptive learning using artificial intelligence. Sovremennaia nauka: aktualnye problemy teorii i praktiki. Seriia: Gumanitarnye nauki = Modern Science: Current Problems of Theory and Practice. Series: Humanities. 2024; (04). 77-81. (In Russ.).

12. Maksimova M. V., Frolova O. V., Etuev Kh. Kh., Aleksandrova L. D. Adaptive Personalized Learning: Implementing Modern Technologies in Higher Education. Informatika i obrazovanie = Computer Science and Education. 2023; (38-4). 14-27. (In Russ.).

13. Vainshtein Iu. V., Shershneva V. A. Adaptive e-learning in modern education. Pedagogika = Pedagogy. 2020; (5). 48-57. (In Russ.).

14. Piroglanov Sh. Sh., Skliarov V. P., Antsupov I. S. Digital technologies in the educational process as new opportunities for the implementation of individual educational trajectories. Problemy sovremennogo pedagogicheskogo obrazovaniia = Problems of modern pedagogical education. 2022; (74-2). 180-182. (In Russ.).

15. Stoliar A. A. Pedagogy of Mathematics: Textbook for Physics and Mathematics Faculties of Pedagogical Institutes. Minsk: Higher School, 1986. 413 p.

16. Episheva O.B. General methods of teaching mathematics in secondary school: Lecture course: Textbook for students of physical and mathematical specialties of pedagogical institutes. Tobolsk: Publishing house of the Tobolsk State Pedagogical Institute named after D. I. Mendeleyev; 2008. 203 p.

17. Grigorev D. V., Stepanov P. V. Extracurricular activities of schoolchildren. Methodological designer: manual for a teacher. Moscow: Education, 2011. 223 p.

18. Sharmin D.V. Formation of the culture of mathematical speech of students in the process of teaching algebra and the principles of analysis: abstract of the dissertation … candidate of pedagogical sciences. Omsk; 2005. 23 p.

19. Federal work program of basic general education. Mathematics (basic level) (for grades 5-9 of educational organizations). Moscow: Institute for Education Development Strategy; 2023. 106 p.

20. Federal work program of secondary general education. Mathematics (basic level) (for grades 10-11 of educational organizations). Moscow: Institute for Education Development Strategy; 2023. 65 p.