LOBACHEVSKIY TEKISLIGI KELI-KLEYN TALQININING SUN’IY INTELEKTGA ASOSLANGAN VIZUAL KOGNITIV METODLARI

Abstract

This article examines the integration of artificial intelligence (AI) technologies in the teaching of non-Euclidean geometry, specifically Lobachevskian geometry. It analyzes the cognitive challenges students face during the transition from Euclidean geometry to non-Euclidean spaces, focusing on complexities in conceptualizing parallelism and metrics. Based on the Cayley-Klein model, a visual-cognitive methodology titled "AI-Enhanced Projective Visualization (AEPV)" is proposed. The educational process is analyzed through the framework of Bloom’s Taxonomy, highlighting the role of AI tools at each instructional stage.