Approaches to the typology of the common mistakes of younger schoolchildren in the development of mathematical concepts

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Abstract

The review article examines the field of scientific research devoted to the analysis of errors in mathematics. The problem of mastering mathematical concepts by younger schoolchildren continues to be relevant in pedagogical psychology. Systematic work with students' mistakes is an important stage in the teacher's work. The review shows the significance of the analysis of mathematical errors. The importance of not only detecting systematic mistakes of students, but also the misconceptions about concepts behind them is substantiated. The reasons for the typology of errors are revealed in the context of a discussion about the relationship between conceptual and procedural knowledge. Various approaches to the typology of mathematical errors are described. The typology of errors based on the identification of error patterns, which has become widespread in research, is considered in detail. In this typology, three large groups of mathematical errors are distinguished: factual, procedural and conceptual. Examples of these errors are given on the material studied by younger schoolchildren.

General Information

Keywords: teaching mathematics, junior schoolchildren, mathematical errors, mathematical representations, error analysis, typology of errors

Journal rubric: Educational Psychology and Pedagogical Psychology

Article type: review article

DOI: https://doi.org/10.17759/jmfp.2021100413

Funding. The research was carried out with the financial support of the state task of the Ministry of Education of the Russian Federation No. 073-00041-21-05 dated 07/14/2021 «Formation of the psychological component of the methodological training of the future teacher necessary for the analysis of the causes of students' mistakes in order to develop their subject conceptual thinking in the process of solving educational tasks».

Received: 08.10.2021

Accepted:

For citation: Sanina S.P., Sokolov V.L. Approaches to the typology of the common mistakes of younger schoolchildren in the development of mathematical concepts [Elektronnyi resurs]. Sovremennaia zarubezhnaia psikhologiia = Journal of Modern Foreign Psychology, 2021. Vol. 10, no. 4, pp. 138–146. DOI: 10.17759/jmfp.2021100413. (In Russ., аbstr. in Engl.)

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Information About the Authors

Svetlana P. Sanina, PhD in Education, Associate Professor, Chair of Pedagogical Psychology named after Professor V. A. Guruzhapov, Moscow State University of Psychology & Education, Moscow, Russia, ORCID: https://orcid.org/0000-0002-4033-3913, e-mail: saninasp@mgppu.ru

Vladimir L. Sokolov, PhD in Psychology, Associate Professor, Chair of Pedagogical Psychology named after Professor V.A. Guruzhapov, Moscow State University of Psychology & Education, Moscow, Russia, ORCID: https://orcid.org/0000-0002-6180-7567, e-mail: sokolovvl@mgppu.ru

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