MODERN METHODOLOGICAL APPROACHES TO TEACHING THE SOLUTION OF IRRATIONAL EQUATIONS

Authors

  • Mardon Pardabayev,Bahrom Hakberdiev Samarkand State Pedagogical Institute Associate Professor of the Department of Mathematics,Samarkand State Pedagogical Institute Student

DOI:

https://doi.org/10.55640/

Keywords:

irrational equations, algebra education, squaring method, graphical analysis, interactive methods, digital technologies.

Abstract

This scientific article analyzes the process of teaching the solution of irrational equations from mathematical and didactic perspectives. The study examines the role of irrational equations in the algebra curriculum, methodological difficulties encountered in solving them, and the potential of modern pedagogical and digital technologies to overcome these challenges. Based on the results of pedagogical observations, the positive impact of interactive and visual approaches on learning outcomes is scientifically substantiated. The findings of the article contribute to improving the quality of mathematics education.

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References

1.Kolmogorov, A. N. Algebra and the Foundations of Mathematical Analysis. Moscow: Nauka, 2019.

2.Vinogradov, I. M. Elementary Algebra and Methods for Solving Equations. Moscow: Fizmatlit, 2018.

3.Polya, G. How to Solve It. Princeton: Princeton University Press, 2004.

4.Tall, D. Advanced Mathematical Thinking. Dordrecht: Springer, 2002.

5.Artigue, M. Digital technologies and mathematics education. Educational Studies in Mathematics, 2020.

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Published

2026-01-22

Issue

Vol. 5 No. 01 (2026): Journal of Multidisciplinary Sciences and Innovations

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors retain the copyright of their manuscripts, and all Open Access articles are disseminated under the terms of the Creative Commons Attribution License 4.0 (CC-BY), which licenses unrestricted use, distribution, and reproduction in any medium, provided that the original work is appropriately cited. The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations.

How to Cite

MODERN METHODOLOGICAL APPROACHES TO TEACHING THE SOLUTION OF IRRATIONAL EQUATIONS. (2026). Journal of Multidisciplinary Sciences and Innovations, 5(01), 1635-1637. https://doi.org/10.55640/

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