Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 511, Pages 21–53
DOI: https://doi.org/10.31857/S2686954323700170
(Mi danma383)
 

MATHEMATICAL EDUCATION OF THE DIGITAL AGE

Mathematical elements of elementary education

M. A. Posicelskayaa, T. A. Rudchenkob, A. L. Semenovbcd

a Center for Development of Educational Environment, Moscow, Russia
b Axel Berg Institute of Cybernetics and Educational Computing, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, Russia
c Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
d Lobachevsky Institute of Mathematics and Mechanics, Kazan, Russia
References:
Abstract: In recent decades, several Russian schools have been implementing a world-unique education program of mathematics for elementary schools. In it, the landscape of school arithmetic is radically expanded due to the basic objects of modern mathematics and computer science. These objects and their operations are visual, making them much more comprehensible than traditional arithmetic. The range of activities also expands due to, for example, the introduction of strategies for enumeration, game winning, and algorithms (also operating in a visual environment). At the same time, the student’s position changes: they independently discover and build mathematics and constantly solve personally new, but feasible tasks that are “not-known-how-to-solve”. The student’s resources are saved by using a computer to perform routine arithmetic operations that have already been discovered and understood. The implementation of this approach is discussed in detail and is illustrated by examples of actual tasks that are representative of the program under consideration and the whole approach.
Keywords: mathematical education, research training, elementary school, arithmetic, mathematical modeling in school, unexpected tasks, VUCA world.
Funding agency Grant number
Russian Foundation for Basic Research 19-29-14152 ìê
Lomonosov Moscow State University
This work was supported by the Russian Foundation for Basic Research, project no. 19-29-14152 mk (M.A. Positselskaya, T.A. Rudchenko) and by the Interdisciplinary Scientific and Educational School “Brain, cognitive systems, and artificial intelligence” of Lomonosov Moscow State University (A.L. Semenov).
Received: 21.01.2023
Revised: 16.02.2023
Accepted: 10.03.2023
English version:
Doklady Mathematics, 2023, Volume 107, Issue Suppl 1, Pages S10–S41
DOI: https://doi.org/10.1134/S1064562423700576
Bibliographic databases:
Document Type: Article
UDC: 372.851
Language: Russian
Citation: M. A. Posicelskaya, T. A. Rudchenko, A. L. Semenov, “Mathematical elements of elementary education”, Dokl. RAN. Math. Inf. Proc. Upr., 511 (2023), 21–53; Dokl. Math., 107:Suppl 1 (2023), S10–S41
Citation in format AMSBIB
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\by M.~A.~Posicelskaya, T.~A.~Rudchenko, A.~L.~Semenov
\paper Mathematical elements of elementary education
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 511
\pages 21--53
\mathnet{http://mi.mathnet.ru/danma383}
\crossref{https://doi.org/10.31857/S2686954323700170}
\elib{https://elibrary.ru/item.asp?id=54493969}
\transl
\jour Dokl. Math.
\yr 2023
\vol 107
\issue Suppl 1
\pages S10--S41
\crossref{https://doi.org/10.1134/S1064562423700576}
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