Abstract

The article analyzes the understanding of numerical expressions in primary and secondary schools. Algebraic education begins in primary school by numerical expressions calculations and transformations tasks. Understanding of these tasks remains important later while doing any of expressions, equations and inequalities tasks. The numerical expressions errors made by students show learning difficulties and inadequate understanding of concepts. This article presents 120 I–VI classes students numerical expressions solutions mistakes qualitative continent analysis. It revealed such problems as misunderstanding ideas of positional decimal counting system, constructive learning of rules, the lack of practical experience in transformating numerical expressions. There are proposed possiblities to improve the situation by paying more attention to decimal structure and the positions of numbers in primary classes, multipurpose numerical expressions analysis, the increasing of motivation to solving numerical expressions. Key words: errors of numerical expressions, links between arithmetic and algebra, primary and secondary school.

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