SYMBIOSIS OF MATHEMATICS AND COMPUTER SCIENCE: A FOUNDATIONAL BASIS FOR DEVELOPING DIGITAL COMPETENCIES IN THE EDUCATIONAL SYSTEM

Authors

  • Kurbanova Mahliyo, Hamrayeva Nodira U. Uvatov Secondary School No. 1, Guzar District, Kashkadaryo Region, Uzbekistan Teacher of Mathematics
  • Sheraliyeva Sugʻdiyona U. Uvatov Secondary School No. 1, Guzar District, Kashkadaryo Region, Uzbekistan Teacher of Computer Science

Abstract

Purpose: This article scientifically analyzes the theoretical and practical convergence of Mathematics and Computer Science (Information Technology) within the contemporary educational framework, substantiating their pivotal role in cultivating digital competencies among students, and elucidating the benefits of an integrated pedagogical approach.

Methodology: The research employs analytical and synthetic methods to demonstrate how foundational mathematical concepts—including discrete structures, linear algebra, and formal logic—serve as the indispensable theoretical substrate for applied fields in Computer Science, such as algorithm theory, Artificial Intelligence (AI), and data analysis. Furthermore, the efficiency of ICT tools in expediting and enhancing the solution of complex mathematical problems is explored.

Key Findings: A profound symbiotic relationship exists between these two disciplines, where mathematical rigor provides the framework for algorithmic design, and computational power enables the empirical validation and application of complex mathematical models (e.g., numerical methods).

References

Turing, A. M. (1936). On Computable Numbers, with an Application to the Entscheidungsproblem. Proceedings of the London Mathematical Society, Series 2, 42(1), 230–265.

* Shannon, C. E. (1948). A Mathematical Theory of Communication. Bell System Technical Journal, 27(3), 379–423.

* Cormen, T. H., Leiserson, C. E., Rivest, R. L., & Stein, C. (2022). Introduction to Algorithms. MIT Press.

* Church, A. (1941). The Calculi of Lambda-Conversion. Princeton University Press.

* Russell, S., & Norvig, P. (2020). Artificial Intelligence: A Modern Approach. Pearson Education.

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Published

2025-12-14