The Impact of Interactive Environments (Geogebra/Desmos) on the Development of Students' Mathematical Competencies: A Pedagogical and Psychological Analysis

This article analyzes the pedagogical and psychological aspects of using interactive digital environments such as GeoGebra and Desmos in developing students’ mathematical competencies. In modern education, it is important not only to acquire theoretical mathematical knowledge but also to develop the ability to apply this knowledge in practical situations, create mathematical models, independently solve problem-based tasks, and justify the obtained results. The article argues that the purposeful and methodologically appropriate use of interactive digital environments contributes to the development of students’ mathematical competencies, supports their learning motivation, and encourages active participation in mathematics classes.