DEVELOPING STUDENTS’ LOGICAL THINKING THROUGH SOLVING DIFFERENTIAL EQUATIONS

Authors

DOI:

https://doi.org/10.63034/esr-709

Keywords:

Differential equations, Logical thinking, Logical culture, Inquiry-based learning, Project-based method, Integrated learning, Information and communication technologies (ICT), Mathematical modeling

Abstract

This article examines the issue of developing students’ logical thinking in the process of teaching differential equations. The study highlights the significant role of mathematics in shaping students’ logical culture. During the research, the effectiveness of collaborative, research-based, project-based, ICT-integrated, and technology-driven teaching methods in differential equations instruction was demonstrated. The article compares traditional and innovative teaching approaches, illustrating their impact on students’ logical and critical thinking through concrete examples. Furthermore, the integration of interdisciplinary approaches and the use of information technologies were shown to enhance students’ systematic, analytical, and creative thinking abilities. The research findings provide a methodologically grounded framework for developing students’ logical culture through teaching differential equations and propose effective instructional strategies.

References

Bekbolganova, A. Q. Ways of Developing Students’ Logical Culture in the Process of Teaching Mathematics. Bulletin of Abai KazNPU. Series of Physical and Mathematical Sciences. Available at: https://bulletin-phmath.kaznpu.kz

, 2020.

Dosymbetov, A. I. Methodology of Teaching the Topic of Differential Equations in the 11th Grade. UTU.kz, 2022. Available at: https://utu.kz/baza-materialov/matematika/show?doc=3255

Bruner, J. S. The Process of Education. Cambridge, Massachusetts: Harvard University Press, 1960. doi:10.4159/9780674028999_fm

Pólya, G. How to Solve It. Moscow: Nauka, 1961. (Original: How to Solve It). Available at: http://ir.nmu.org.ua/handle/GenofondUA/41444

Abylkassymova, A. E., Kappasova, S. E., Tuyakov, T. A., Zhadrayeva, L. U. Methodological Aspects of Functional Literacy Formation of Schoolchildren in Mathematics. Bulletin of Abai KazNPU. Series of Physical and Mathematical Sciences, Vol. 81, No. 1 (2023), pp. 66–73. Available at: https://phmath.kaznpu.kz/index.php/ped/article/view/1574

Downloads

Published

2026-02-11

How to Cite

Adilbek , A., & Shuakayev , M. (2026). DEVELOPING STUDENTS’ LOGICAL THINKING THROUGH SOLVING DIFFERENTIAL EQUATIONS. Eurasian Science Review An International Peer-Reviewed Multidisciplinary Journal, 5(1), 659–666. https://doi.org/10.63034/esr-709