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Analysis of future teachers’ individual thinking patterns and the level of basic school mathematics training

https://doi.org/10.18384/2949-4974-2025-4-99-112

Abstract

Aim. To present the results, obtained from diagnostics of individual thinking patterns and the level of basic school mathematics training of future teachers, which are significant for the formation of mathematic theory for research activities.

Methodology. The research methodology is based on implementation of a personality-oriented approach in the formation of mathematical components of research activities of future teachers. During the experimental part of the work, the diagnostic methods of J. Barrett and A. Luchins were used.

Results. The experimental study was conducted with students mastering pedagogical undergraduate programs – future foreign language teachers. The discipline “Mathematical methods of data processing” is a part of bachelor’s degree program core in the field of pedagogical education; therefore, the sample of respondents was specially carried out with an emphasis on students of humanitarian profiles. Based on control and measuring materials of the basic level of the unified state exam in mathematics, the level of school subject training of students was determined, problematic topics were identified. In addition, the use of special diagnostic techniques made it possible to establish the signs of students’ rigidity of thinking and their individual characteristics associated with orientation to imagination or facts in solving practical problems.

Research implications. The paper proposes the integrated use of special diagnostics and tests to identify individual features and the level of basic school mathematical training, which are important for the formation of students’ mathematic theory for research activities.

Conclusions. To implement personality-oriented teaching of students in the discipline “Mathematical methods of data processing” at the university, the use of various tests and diagnostic techniques was implemented; that made it possible to determine the individual features of thinking and the level of basic school mathematical training of future teachers.

About the Authors

N. I. Popov
Pitirim Sorokin Syktyvkar State University
Россия

Nikolay I. Popov – Dr Sci (Education), Cand. Sci. (Phys -Math.), Prof., Head of the Department, Department of Physics, Mathematics and information Education

Syktyvkar



E. V. Yakovleva
Pitirim Sorokin Syktyvkar State University
Россия

Elena V. Yakovleva – Cand. Sci. (Education), Assoc. Prof., Department of Physics, Mathematics and information Education

Syktyvkar



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