Affiliation:
1. Moscow State University of Psychology & Education
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.
Publisher
Federal State-Financed Educational Institution of Higher Education Moscow State University of Psychology and Education
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science
Reference28 articles.
1. Ketterlin-Geller L.R. et al. A Framework for Evaluating Stopping Rules for Fixed-Form Formative Assessments: Balancing Efficiency and Reliability [Elektronnyi resurs]. Practical Assessment, Research, and Evaluation, 2020. Vol. 25, article 8, 18 p. URL: https://scholarworks.umass.edu/pare/vol25/iss1/8 (Accessed 17.10.2021).
2. Ashlock R.B. Error patterns in computation (10th ed.). Boston: Allyn & Bacon, 2010. 241 p.
3. Baroody A.J., Feil Y., Johnson A.R. An Alternative reconceptualization of procedural and conceptual knowledge. Journal of Research in Mathematical Education, 2007. Vol. 38, no. 2, pp. 115â131. DOI:10.2307/30034952
4. Brown J., Skow K. Mathematics: Identifying and Addressing Student Errors [Elektronnyi resurs]. [Nashville, TN]: Iris center, 2016. 34 p. 2016. URL: https://iris.peabody.vanderbilt.edu/wp-content/uploads/pdf_case_studies/ics_matherr.pdf (Accessed 17.10.2021).
5. Chirume S. A Critical Analysis of Errors Made by Rural and Urban Students in âOâ Level Mathematics Paper 1 (4008/1) in Shurugwi and Gweru Districts, Zimbabwe [Elektronnyi resurs]. Asian Journal of Education and e-Learning, 2017. Vol. 5, no. 2, pp. 63â73. URL: https://ajouronline.com/index.php/AJEEL/article/view/4652 (Accessed 17.10.2021).
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