Psychological and Pedagogical Methods of Working on the Mistakes of Younger Schoolchildren in the Development of Mathematical Concepts

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Abstract

The article continues a series of publications devoted to the methodology being developed for the development of students’ initial ideas to scientific concepts. The reasons for the mistakes made by younger schoolchildren when mastering mathematical concepts are considered. Examples of children’s mistakes are shown on the material of the topic “Subtraction”, their types are highlighted. The techniques of working on errors in the development of mathematical concepts are described. A method of organizing developmental assessment aimed at analyzing errors from the point of view of students’ misconceptions behind them is presented in detail. The stages of collecting error data, determining their type and causes, and eliminating error patterns are highlighted. Attention is paid to errors associated with a lack of reading skills. Recommendations are given on the organization of quasi-research activities and polylogue in elementary school math lessons, their mutual relationship is revealed. There are deficiencies in the skills of primary school teachers to organize an educational discussion and work with children’s hypotheses. The example of the topic “Subtraction with a transition through a digit” shows a way to create a problem situation and use numerical models. The prospects for the organization of quasi-research and polylogue in this lesson are outlined.

General Information

Keywords: teaching mathematics, initial representations, mathematical errors, pedagogical education, teacher training, error analysis, typology of errors

Journal rubric: Professional Training of Specialists to Work with Different Categories of Children

Article type: scientific article

DOI: https://doi.org/10.17759/bppe.2023200105

Funding. The research was carried out within the framework of the state task of the Ministry of Education of the Russian Federation No. 073-00110-22-02 dated 04/08/2022 “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: 14.02.2023

Accepted:

For citation: Sokolov V.L. Psychological and Pedagogical Methods of Working on the Mistakes of Younger Schoolchildren in the Development of Mathematical Concepts [Elektronnyi resurs]. Vestnik prakticheskoi psikhologii obrazovaniya = Bulletin of Psychological Practice in Education, 2023. Vol. 20, no. 1, pp. 46–60. DOI: 10.17759/bppe.2023200105. (In Russ., аbstr. in Engl.)

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Information About the Authors

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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