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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 511, Pages 111–137
DOI: https://doi.org/10.31857/S2686954323700212 (Mi danma387) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICAL EDUCATION OF THE DIGITAL AGE

Computer experiment in teaching mathematics

G. B. Shabatabc, A. L. Semenovdef

a Russian State University for the Humanities, Moscow, Russia
b Moscow State Pedagogical University, Moscow, Russia
c Independent Moscow University, Moscow, Russia
d Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
e Institute of Education, HSE University, Moscow, Russia
f Moscow Institute of Physics and Technology, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954323700212
Abstract: A mathematical experiment has always been a key source for a mathematical discovery. Over the past 50 years, thanks to digital technologies, its role in mathematical research has grown significantly. Digital technologies have opened up fundamentally new opportunities for experimentation in mathematics education, bringing mathematical education closer to mathematical research for the majority of students. This tendency is especially desirable in the modern world, where it becomes possible thanks to digital technologies. The article discusses the results of the authors’ work over the past decades on the application of a computer mathematical experiment at different levels of school and university education. Particular attention is paid to dynamic geometry environments. The possibilities of using computer algebra systems are also discussed. A project concerning schoolchildren’s work on generalizations of Napoleon’s theorem is considered in detail.
Keywords: mathematical experiment in education, computer experiment, dynamic geometry, computer algebra systems, modernization of mathematical education, mathematical discoveries of schoolchildren, generalizations of Napoleon’s theorems, van Aubel’s theorem.
Funding agency Grant number
Russian Science Foundation 22-11-00177
Russian Foundation for Basic Research 19-29-14234 ìê
This work was supported by the Russian Science Foundation, grant no. 22-11-00177 (A.L. Semenov: the Introduction and part 1) and by the Russian Foundation for Basic Research, grant no. 19-29-14234 mk (G.B. Shabat: Part 2 and the Conclusions).
Received: 01.01.2023
Revised: 21.01.2023
Accepted: 31.01.2023
English version:
Doklady Mathematics, 2023, Volume 107, Issue Suppl 1, Pages S92–S116
DOI: https://doi.org/10.1134/S1064562423700618
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: G. B. Shabat, A. L. Semenov, “Computer experiment in teaching mathematics”, Dokl. RAN. Math. Inf. Proc. Upr., 511 (2023), 111–137; Dokl. Math., 107:Suppl 1 (2023), S92–S116
Citation in format AMSBIB
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\by G.~B.~Shabat, A.~L.~Semenov
\paper Computer experiment in teaching mathematics
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 511
\pages 111--137
\mathnet{http://mi.mathnet.ru/danma387}
\crossref{https://doi.org/10.31857/S2686954323700212}
\elib{https://elibrary.ru/item.asp?id=54493974}
\transl
\jour Dokl. Math.
\yr 2023
\vol 107
\issue Suppl 1
\pages S92--S116
\crossref{https://doi.org/10.1134/S1064562423700618}
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