Automated system-cognitive analysis of the impact of pre-university additional mathematical education on the success of study at the university

The article presents an analysis of the impact of pre-university supplementary mathematical education on academic success in higher education, conducted using Automated System-Cognitive Analysis (ASC-analysis) and its software tool, the "Eidos" intelligent system. The study covers a sample of 129 students from the Faculty of Mathematics and Computer Science at Kuban State University and aims to identify relationships between students' academic achievements and their preparation at the "Junior Faculty of Mathematics" (Junior Math Faculty) during their secondary school education, as well as their Unified State Exam (USE) results. The research addresses the tasks of cognitive structuring and formalization of the subject area, synthesis and verification of models, identification and forecasting, as well as the investigation of the modeled subject area through the study of its model. The results confirm the significance of pre-university preparation within the Junior Math Faculty and provide a well-founded conclusion regarding the strong positive correlation between preparation in this department and academic success at the university. This article briefly outlines the results of a previously conducted large-scale study [1-3].