Analysis of selected mathematical problems in school education

Authors

DOI:

https://doi.org/10.55630/mem.2026.55.153-162

Keywords:

математически задачи, училищно образование

Abstract

The process of composing mathematical problems is a key element of mathematics education, requiring a high degree of precision, logical consistency, and clarity of formulation. Nevertheless, in practice various types of inaccuracies are often encountered, which can hinder the correct understanding or solution of problems and, in some cases, even lead to incorrect results. This article presents a systematic analysis of inaccuracies occurring in the formulation and solution of mathematical problems. The study covers inaccuracies in problem statements (unclear or ambiguous conditions) as well as in mathematical content (logical inconsistencies and improperly formulated requirements). Through the analysis of specific examples, a classification of these inaccuracies is proposed and recommendations for their avoidance are offered. The results of the study aim to support teachers, methodologists, and authors of educational materials in creating higher-quality and pedagogically effective mathematical problems.

Author Biographies

Ivaylo Dimitrov, ППМГ „Нанчо Попович”, Шумен, България

Nancho Popovich High School of Mathematics
68, Kiril i Metodiy Str.
Shumen, Bulgaria

 

Miroslav Hristov, Konstantin Preslavsky University of Shumen, Shumen, Bulgaria

Konstantin Preslavsky University of Shumen
115, Universitetska Str.
9700 Shumen, Bulgaria

Mehmed Kodzha, ППМГ „Нанчо Попович”, Шумен, България

Nancho Popovich High School of Mathematics
68, Kiril i Metodiy Str.
Shumen, Bulgaria

References

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К. Банков, С. Наков, Г. Николова, Д. Петрова, И. Цветкова. Математика профилирана подготовка – задачи и тестове за Държавен зрелостен изпит. София, Издателство Просвета, 2022. [K. Bankov, S. Nakov, G. Nikolova, D. Petrova, I. Cvetkova. Matematika profilirana podgotovka – zadachi i testove za Darzhaven zrelosten izpit. Sofia, Izdatelstvo Prosveta, 2022.] (in Bulgarian)

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Published

2026-05-19

How to Cite

[1]
Dimitrov, I. et al. 2026. Analysis of selected mathematical problems in school education. Mathematics and Education in Mathematics. 55, (May 2026), 153–162. DOI:https://doi.org/10.55630/mem.2026.55.153-162.

Issue

Section

Section C: Education in Mathematics