HIGHER MATHEMATICS INSTRUCTION MODERN METHODS FROM OPTIMIZATION MODELS TO AI INTEGRATION

Authors

  • Raxmonova Nilufarxon Vaxobjon qizi Department of Digital technologies and mathematics in Kokand university

Keywords:

Higher Mathematics Education, Optimization Models, Artificial Intelligence Integration, Adaptive Learning Systems, Mathematical Modeling, Individualized Instruction, Logical Thinking Development, Differential Approach, Pedagogical Technologies, AI in Teaching

Abstract

This article examines the evolution of higher mathematics teaching, connecting traditional optimization models with modern artificial intelligence (AI) integration. It explores how mathematical modeling strengthens problem-solving in optimization tasks and transitions to AI-driven adaptive systems that personalize learning and develop logical thinking. Drawing on differential and individualized pedagogical strategies, the study analyzes case studies and empirical data from Uzbekistan and international implementations. The integration of machine learning for real-time feedback and predictive analytics improves student performance, while addressing challenges such as accessibility and teacher training. The paper proposes a hybrid framework combining optimization principles with AI to enhance engagement, comprehension, and outcomes, highlighting its potential to prepare students for advanced STEM challenges.

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References

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Qizi, R. N. V. (2025). TEACHING TECHNOLOGIES AIMED AT DEVELOPING LOGICAL THINKING. Eurasian Journal of Academic Research, 5(12), 29-32.

Qizi, N. R. V. (2025). INDIVIDUАLIZАTION OF MАTHЕMАTICS ЕDUCАTION BАSЕD ON THЕ DIFFЕRЕNTIАL АPPROАCH: INTЕGRАTION OF MODЕRN MЕTHODS. Research Focus, 4(6), 207-217.

Rakhmonova, Nilufarxon. (2025). THE IMPORTANCE OF ARTIFICIAL INTELLIGENCE SYSTEMS IN TEACHING MATHEMATICS. International Journal of Artificial Intelligence, 1(4), 1480-1485.

Raxmonova, V. (2023). The role and place of mathematical models in teaching students to solve optimization problems. Modern Science and Research, 2(4), 592-597.

Qizi, R. N. V. (2025). TEACHING TECHNOLOGIES AIMED AT DEVELOPING LOGICAL THINKING. Eurasian Journal of Academic Research, 5(12), 29-32.

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Published

2026-04-18

How to Cite

Raxmonova Nilufarxon Vaxobjon qizi. (2026). HIGHER MATHEMATICS INSTRUCTION MODERN METHODS FROM OPTIMIZATION MODELS TO AI INTEGRATION. Journal of Applied Science and Social Science, 16(4), 814–818. Retrieved from https://www.internationaljournal.co.in/index.php/jasass/article/view/4099