EFFECTIVENESS OF USING DIGITAL PLATFORMS IN TEACHING GEOMETRIC CONSTRUCTION PROBLEMS

Abstract

The article examines, from a scientific and methodological perspective, one of the important construction problems in the school geometry curriculum—the construction of an inscribed circle in a triangle. The purpose of the study is to analyze methods for solving geometric construction problems and to determine the effectiveness of using traditional geometric tools together with modern digital platforms in the educational process.

The paper presents the theoretical foundations of constructing an inscribed circle in a triangle and considers the properties of angle bisectors used to determine the center of the circle. In addition, the methods for determining the radius of the inscribed circle and the main stages of the construction algorithm are systematically analyzed. The study also provides a comparative analysis of traditional approaches to solving the problem and their implementation in a digital environment.

As an example, the construction of an inscribed circle in a triangle using the Desmos platform is demonstrated, which allows the solution process to be visualized and facilitates better understanding. The article substantiates that the use of digital platforms enables interactive visualization of geometric constructions, promotes the development of students’ spatial thinking, saves time, and reduces possible errors during problem solving. Furthermore, issues related to strengthening the principle of visualization in teaching construction problems, increasing students’ cognitive activity, and the effective use of information technologies are discussed. Overall, the methodological approaches proposed in the article are aimed at improving the quality of geometry teaching.