IMPROVING THE TEACHING OF QUADRATIC FUNCTIONS THROUGH ARTIFICIAL INTELLIGENCE TECHNOLOGIES

Abstract

This article presents an extensive and in-depth study of improving the methodology of teaching quadratic functions in secondary school mathematics through the integration of artificial intelligence (AI) technologies. Quadratic functions constitute one of the core topics of school algebra, forming a conceptual foundation for further studies in functions, equations, inequalities, mathematical modeling, physics, and economics. However, classroom practice shows that students often experience difficulties in understanding the relationship between algebraic representations and graphical interpretations of quadratic functions.

The research analyzes modern pedagogical challenges in teaching quadratic functions and proposes innovative AI-based instructional methods using digital tools such as GeoGebra, Desmos, Wolfram Alpha, and large language models (ChatGPT). These tools enable dynamic visualization, adaptive learning, automated feedback, and personalized instruction. Experimental teaching results demonstrate that AI-supported lessons significantly improve students’ functional thinking, graphical literacy, learning motivation, and independent problem-solving skills. The effectiveness of the proposed methodology is confirmed through quantitative and qualitative analysis.