MATHEMATICAL EDUCATION OF THE DIGITAL AGE

Creating new mathematics by schoolchildren

A. L. Semenov^abc, S. F. Soprunov^d, I. A. Ivanov-Pogodaev<sup>b

a</sup> Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
^b Moscow Institute of Physics and Technology (National Research University), Moscow, Russia
^c Scientific and Educational Mathematical Center of the Volga Federal District, Lobachevsky Institute of Mathematics and Mechanics, Kazan, Russia
^d Center of Pedagogical Excellence of the Department of Education and Science of, Moscow, Russia

Abstract: The paper discusses an example of an educational project in modern mathematics in which school students create mathematics that is new to them. The mathematical results produced by the students in the theory of definability also have an “absolute” novelty, i.e., are the basis for professional publications. The described course was based on recent results of this article’s authors in the theory of definability. The new results were obtained by a group of 10 schoolchildren from different regions of Russia.

Keywords: Russian mathematical school, Konstantinov school, active learning, learning by doing, mathematical education, research activities of schoolchildren, definability theory, highly motivated students.

UDC: 517.54

Received: 25.01.2023
Revised: 26.02.2023
Accepted: 09.03.2023

DOI: 10.31857/S2686954323700224

 English version: Doklady Mathematics, 2023, 107:Suppl 1, S132–S136

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