N. N. Konstantinov, A. L. Semenov, “Productive education in the mathematical school”, Chebyshevskii Sb., 22:1 (2021), 413–446; Doklady Mathematics (Supplementary issues), 106:2 (2022), 270

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Chebyshevskii Sbornik, 2021, Volume 22, Issue 1, Pages 413–446
DOI: https://doi.org/10.22405/2226-8383-2018-22-1-413-446 (Mi cheb1011)

This article is cited in 10 scientific papers (total in 12 papers)

HISTORY OF MATH AND APPLICATIONS

Productive education in the mathematical school

N. N. Konstantinov^a, A. L. Semenov^bc

^a School № 179 of the Department of Education and Science of the City of Moscow (Moscow)
^b Lomonosov Moscow State University (Moscow)
^c Axel Berg Institute of Cybernetics and Educational Computing FRC SCS of the Russian Academy of Sciences (Moscow)

Full-text PDF (593 kB) Citations (12)

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DOI: https://doi.org/10.22405/2226-8383-2018-22-1-413-446

Abstract: The article examines the reasons why mathematical schools (mathschools) have become an important and very productive phenomenon in Russian education in recent decades. A brief description of the modern model of productive education traced back to the established tradition of teaching in mathschools, which can lead to the construction of a reproducible model of productive education not only for specialized teaching of mathematics, but also for other areas of Russian general education.

Keywords: the tradition of mathschools and mathclasses, the Konstantinov School, school mathematics education in Russia, productive education, solving unexpected problems, recreational mathematics, mathematical circle, mathematical Olympiad, university students as teachers, level differentiation, learning and research activity of students, digital transformation of education.

Funding agency	Grant number
Russian Science Foundation	17-11-01377

Received: 14.12.2020
Accepted: 21.02.2021

English version:
Doklady Mathematics (Supplementary issues), 2022, Volume 106, Issue 2, Pages 270–287
DOI: https://doi.org/10.1134/S1064562423700369

Document Type: Article

UDC: 517

Language: Russian

Citation: N. N. Konstantinov, A. L. Semenov, “Productive education in the mathematical school”, Chebyshevskii Sb., 22:1 (2021), 413–446; Doklady Mathematics (Supplementary issues), 106:2 (2022), 270–287

Citation in format AMSBIB

\Bibitem{KonSem21}

\by N.~N.~Konstantinov, A.~L.~Semenov

\paper Productive education in the mathematical school

\jour Chebyshevskii Sb.

\yr 2021

\vol 22

\issue 1

\pages 413--446

\mathnet{http://mi.mathnet.ru/cheb1011}

\crossref{https://doi.org/10.22405/2226-8383-2018-22-1-413-446}

\transl

\jour Doklady Mathematics (Supplementary issues)

\yr 2022

\vol 106

\issue 2

\pages 270--287

\crossref{https://doi.org/10.1134/S1064562423700369}

Linking options:

https://www.mathnet.ru/eng/cheb1011

https://www.mathnet.ru/eng/cheb/v22/i1/p413

This publication is cited in the following 12 articles:

Ilya Levin, Alexei L. Semenov, Mikael Gorsky, “Smart Learning in the 21st Century: Advancing Constructionism Across Three Digital Epochs”, Education Sciences, 15:1 (2025), 45
A. L. Semenov, A. E. Abylkassymova, T. A. Rudchenko, “AI Methods in Control of Personalized General Education”, Dokl. Math., 109:3 (2024), 191
A. L. Semenov, “Digital World, Mathematics, and Education”, Dokl. Math., 110:suppl. 2 (2024), S2–S7
A. L. Semenov, A. Y. Abylkassymova, S. A. Polikarpov, “Foundations of mathematical education in the digital age”, Dokl. Math., 107:Suppl 1 (2023), S1–S9
M. A. Posicelskaya, T. A. Rudchenko, A. L. Semenov, “Mathematical elements of elementary education”, Dokl. Math., 107:Suppl 1 (2023), S10–S41
M. A. Posicelskaya, “Constructive combinatorics in elementary school mathematics”, Dokl. Math., 107:Suppl 1 (2023), S52–S77
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. Math., 107:Suppl 1 (2023), S78–S91
A. L. Semenov, S. F. Soprunov, I. A. Ivanov-Pogodaev, “Creating new mathematics by schoolchildren”, Dokl. Math., 107:Suppl 1 (2023), S132–S136
N. A. Vavilov, V. G. Khalin, A. V. Yurkov, “The skies are falling: Mathematics for non-mathematicians”, Dokl. Math., 107:Suppl 1 (2023), S137–S150
D. D. Rubashkin, T. A. Rudchenko, A. L. Semenov, A. Yu. Uvarov, “Academician A.L. Semenov's School: Digital Transformation of General Education”, Pattern Recognit. Image Anal., 33:4 (2023), 1050
V. L. Arlazarov, A. Ya. Belov, V. O. Bugaenko, V. A. Vassiliev, A. L. Gorodentsev, S. A. Dorichenko, Yu. S. Ilyashenko, V. M. Imaykin, S. I. Komarov, A. G. Kushnirenko, Yu. P. Lysov, A. L. Semenov, V. M. Tikhomirov, A. K. Tolpygo, A. G. Khovanskii, P. A. Yakushkin, I. V. Yaschenko, “Nikolai Nikolaevich Konstantinov (obituary)”, Russian Math. Surveys, 77:3 (2022), 531–541
A. L. Semenov, “AI: Why Mathematics? Preface of the Editor-in-Chief of the Doklady Mathematics Journal”, Dokl. Math., 106:suppl. 1 (2022), S1–S2

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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