Mathematical modeling as a method of forming cognitive universal learning actions and competences of students in the conditions of a holistic educational environment
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 29 (2023) no. 3, pp. 79-92 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

From the standpoint of information and educational holism $\Sigma $ ieh, conditions and features of the transitional period of digital transformation of education, the didactic potential of mathematical modeling in the formation and development of cognitive universal learning activities (ULA) in mathematics lessons for schoolchildren and universal competencies (UC) in the study of mathematical and methodological methods is analyzed-mathematical disciplines by students of universities of the direction of preparation Pedagogical education. Based on the compatibility of the requirements of the federal state educational standards of secondary general and higher education (FSES SGE and FSES HE), which determine the conditions and features of the formation and development of universal learning activities in schoolchildren and universal competencies in students — future teachers of mathematics, the optimizing effect of $\Sigma $ ieh on these processes. The possibilities of mathematical modeling are considered as an educational technology that makes it possible to increase the efficiency of obtaining, assimilation and application of new subject and methodological knowledge by students in conditions of mixed offline- and online-learning. A model of information and educational holism and examples of tasks are given.
Keywords: digitalization of education, math modeling, information and educational holism, holistic educational environment, cognitive ULA, UC, training teachers of mathematics, development of personal qualities of students.
@article{VSGU_2023_29_3_a9,
     author = {V. N. Aniskin and D. K. Rakhmatullina},
     title = {Mathematical modeling as a method of forming cognitive universal learning actions and competences of students in the conditions of a holistic educational environment},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {79--92},
     year = {2023},
     volume = {29},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2023_29_3_a9/}
}
TY  - JOUR
AU  - V. N. Aniskin
AU  - D. K. Rakhmatullina
TI  - Mathematical modeling as a method of forming cognitive universal learning actions and competences of students in the conditions of a holistic educational environment
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2023
SP  - 79
EP  - 92
VL  - 29
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VSGU_2023_29_3_a9/
LA  - ru
ID  - VSGU_2023_29_3_a9
ER  - 
%0 Journal Article
%A V. N. Aniskin
%A D. K. Rakhmatullina
%T Mathematical modeling as a method of forming cognitive universal learning actions and competences of students in the conditions of a holistic educational environment
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2023
%P 79-92
%V 29
%N 3
%U http://geodesic.mathdoc.fr/item/VSGU_2023_29_3_a9/
%G ru
%F VSGU_2023_29_3_a9
V. N. Aniskin; D. K. Rakhmatullina. Mathematical modeling as a method of forming cognitive universal learning actions and competences of students in the conditions of a holistic educational environment. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 29 (2023) no. 3, pp. 79-92. http://geodesic.mathdoc.fr/item/VSGU_2023_29_3_a9/

[1] Program “Digital Economy of the Russian Federation” for the period up to 2024, approved by the order of the Government of the Russian Federation as of July 28, 2017 No1632-r (In Russ.)

[2] Register of exemplary educational programs of the Ministry of Education of Russia. Federal State Educational Standard of Secondary General Education, Approved by decision No 732 dated August 12, 2022, 2022 (In Russ.)

[3] “Portal of Federal State Educational Standard of Higher Education (3++) in the direction of Bachelor's programme”, Education and Pedagogical Sciences (In Russ.)

[4] Bogoslovsky V.I., Aniskin V.N., Dobudko T.V., “Digital culture of the teacher through the prisms of computer literacy and socio-technological competence”, New educational strategies in the modern information space, RGPU imeni A.I. Gertsena, Saint Petersburg, 2023, 259–264 (In Russ.)

[5] Asmolov A.G., Burmenskaya G.V., Volodarskaya I.A., How to design universal learning activities in elementary school. From action to thought, a teacher's guide, Prosveshchenie, M., 2008, 152 pp. (In Russ.)

[6] Galperin P.Ya., “Experience in studying the formation of mental actions”, Moscow University Psychology Bulletin, 2017, no. 4, 3–20 (In Russ.) | DOI | Zbl

[7] Zhdanova N.M., “To prepare students for the formation of personal universal educational actions of junior schoolchildren”, Journal of Shadrinsk State Pedagogical University, 2018, no. 1(37), 24–28 (In Russ.)

[8] Kulikova T.Yu., “To the question of the relevance of the universalization of education”, Philosophical, sociological and psycho-pedagogical problems of modern education, 2019, no. 1, 59–62 | MR

[9] Matsuk V.V., “Formation of universal educational actions in teaching mathematics”, Aktual'nye issledovaniya, 2023, no. 6–2 (136), 91–94 (In Russ.)

[10] Skobelina N.A., Koloskova I.V., “Universalization of education: integration of spiritual and secular components”, Higher education today, 2017, no. 10, 30–33 (In Russ.) | DOI

[11] Terentyeva L.P., Ivanova I.P., “On preparation of students to formation of cognitive general learning actions at younger schoolchildren. I”, Yakovlev Chuvash State Pedagogical University Bulletin, 2018, no. 4(100), 268–275

[12] 4th generation FSES model is published. Retrieved from the official website of ANO DPO “Training and Consulting Center” (In Russ.)

[13] Afanasyeva I.G., “The project-oriented model of the formation of the universal competencies of future specialists in the context of the digital transformation of the economy”, Izvestia of the Volgograd State Pedagogical University, 2022, no. 8(171), 38–49 (In Russ.)

[14] Pervukhina E.L., Shalimova E.M., “Problems of curricula unification and universalization in the Russian IT-specialists' education”, Humanities Bulletin of BMSTU, 2017, no. 11(61), 7 pp. | DOI

[15] Aniskin V.N., Rakhmatullina D.K., “The use of mathematical modeling for the formation of cognitive universal learning activities for students”, Natural and humanitarian sciences in the modern world, OGU im. I.S. Turgeneva, Oryol, 2023, 377–381 (In Russ.)

[16] Starodubtseva V.S., “Formation of universal competence of self-organization and self-development of university students”, Information and education: borders of communications, 2022, no. 14(22), 424–426 (In Russ.)

[17] Aniskin V.N., Aniskin S.V., Dobudko T.V., Pugach V.I., “Information and education holizms model”, Baltic Humanitarian Journal, 5:4 (17) (2016), 135–139 (In Russ.)

[18] Lipskaya T.A., “Universal educational actions as a content unit of the Federal State Educational Standard PGE, BGE, SGE”, Modern lesson in the context of the implementation of the Federal State Educational Standard: experience, problems, prospects, collection of articles of the all-Russian research and methodological conference, Electronic edition, Orenburgskii gosudarstvennyi pedagogicheskii universitet, Orenburg, 2017, 131–133 (In Russ.)

[19] Vygotsky L.S., Six-book set, v. 3, Problems of mental evolution, ed. Matyushkin A.M., Pedagogika, M., 1983, 369 pp. (In Russ.)

[20] Depman I.Ya., History of arithmetic, a guide for teachers, 2nd edition, revised, Prosveshchenie, M., 1965, 416 pp. (In Russ.)

[21] Kalikina O.V., Slepukhin A.V., “Particularity of compositions of educational diagnostic tasks for detecting the level of formation of pupils cognative universal educatiional actions”, Aktual'nye voprosy prepodavaniya matematiki, informatiki i informatsionnykh tekhnologii, 2019, no. 4, 67–75 (In Russ.)

[22] Pavlova L.V., “Cognitive competency problems as a way of forming of future mathematics teachers' professional subject competence”, Izvestia: Herzen University Journal of Humanities Sciences, 2009, no. 113, 169–174

[23] Pogorelskaya L.A., “Typical tasks for the formation of universal educational actions in mathematics lessons”, Scientific and methodological electronic journal “Koncept”, 2013, no. 9, 79–85 (In Russ.)

[24] Podkhodova N.S., “Modeling as a universal educational action in the study of mathematics”, Elementary School, 2011, no. 9, 34–41 (In Russ.)

[25] Romanyuk D.A., Suhovienko E.A., “Monitoring model of the formation of universal learning actions in the process of teaching mathematics”, World of Science, Culture and Education, 2018, no. 4(71), 160–164 (In Russ.)

[26] Tereshin N.A., Applied orientation of the school course of mathematics, Instructor's manual, Prosveshchenie, M., 1990, 96 pp. (In Russ.)

[27] Malysheva K.V., “Psychological and pedagogical conditions for the formation of cognitive universal educational actions in schoolchildren when teaching mathematics in basic school”, Student Scientific Forum — 2019 (In Russ.)

[28] Aniskin V.N., Dobudko T.V., Pugach V.I., Pugach O.I., “Mathematical methods and computer-based simulation methods as the essential components of training masters of pedagogical education”, Science Vector of Togliatti State University. Series: Pedagogy, Psychology, 2015, no. 4(23), 24–29 (In Russ.) | MR