Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 511, Pages 95–110
DOI: https://doi.org/10.31857/S2686954323700200 (Mi danma386) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICAL EDUCATION OF THE DIGITAL AGE

The work of a mathematician as a prefiguring of mastering mathematics by students: The role of experiments

Yu. S. Vishnyakova, A. L. Semenovbcd, G. B. Shabatefg

a Ivannikov Institute for System Programming, Russian Academy of Sciences, 109004, Moscow, Russia
b Faculty of Mechanics and Mathematics, Moscow State University, 119991, Moscow, Russia
c Axel Berg Institute of Cybernetics and Educational Computing, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, 119333, Moscow, Russia
d Lobachevsky Institute of Mathematics and Mechanics, 420111, Kazan, Russia
e Russian State University for the Humanities, 125993, Moscow, Russia
f Moscow Pedagogical State University, 119435, Moscow, Russia
g Independent Moscow University, 119002, Moscow, Russia
Citations (2)
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DOI: https://doi.org/10.31857/S2686954323700200
Abstract: This paper considers an approach to mathematical education adequate to the task of developing mathematics and its applications in the 21th century. This approach is based on improving the efficiency of the educational process by maintaining the motivation of students of various categories. The basis for the formation of motivation is, on the one hand, independent design; invention of mathematical objects, methods of action, and models of the world around us; and the discovery of facts of mathematical reality and, on the other hand, solving of new, unexpected, and feasible tasks for the student. The student’s work is similar to the work of a mathematician–researcher and programmer. The possibilities of research work in educational mathematics are significantly expanded due to computer-based intramathematic experiments. Debugging a computer program is a special kind of mathematical experiment.
Keywords: mathematical education, mathematical experiment, experiment in theoretical mathematics, student motivation, unexpected tasks, invention and discovery in mathematics, visibility in mathematical education.
Funding agency Grant number
Russian Foundation for Basic Research 19-29-14234 ìê
Lomonosov Moscow State University
This work was supported by the Russian Foundation for Basic Research, grant no. 19-29-14234 mk (Yu.S. Vishnyakov, G.B. Shabat), and by the Interdisciplinary Scientific and Educational School of Moscow State University “The Brain, Cognitive Systems, and Artificial Intelligence” (A.L. Semenov).
Received: 18.12.2022
Revised: 16.02.2023
Accepted: 12.03.2023
English version:
Doklady Mathematics, 2023, Volume 107, Issue Suppl 1, Pages S78–S91
DOI: https://doi.org/10.1134/S1064562423700606
Bibliographic databases:
Document Type: Article
UDC: 372.851
Language: Russian
Citation: Yu. S. Vishnyakov, A. L. Semenov, G. B. Shabat, “The work of a mathematician as a prefiguring of mastering mathematics by students: The role of experiments”, Dokl. RAN. Math. Inf. Proc. Upr., 511 (2023), 95–110; Dokl. Math., 107:Suppl 1 (2023), S78–S91
Citation in format AMSBIB
\Bibitem{VisSemSha23}
\by Yu.~S.~Vishnyakov, A.~L.~Semenov, G.~B.~Shabat
\paper The work of a mathematician as a prefiguring of mastering mathematics by students: The role of experiments
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 511
\pages 95--110
\mathnet{http://mi.mathnet.ru/danma386}
\crossref{https://doi.org/10.31857/S2686954323700200}
\elib{https://elibrary.ru/item.asp?id=54493972}
\transl
\jour Dokl. Math.
\yr 2023
\vol 107
\issue Suppl 1
\pages S78--S91
\crossref{https://doi.org/10.1134/S1064562423700606}
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