THE PRACTICAL SIGNIFICANCE OF TEACHING THE TOPIC "CALCULATING THE SURFACE AREA AND VOLUME OF SOLIDS OF REVOLUTION" IN SCHOOLS

Résumé fourni par la source

This article analyzes the practical and methodological potential of teaching the topic “Calculating the Surface Area and Volume of Solids of Revolution” in secondary school mathematics. The relevance of the study is associated with the need to connect solid geometry with students’ everyday experience, real objects, measurement activities, and mathematical modelling. The article argues that the calculation of the surface area and volume of cylinders, cones, and spheres should not be reduced to formula-based exercises. Instead, the topic can be organized as a complete mathematical process involving the identification of a real situation, construction of an appropriate geometric model, determination of relevant measurements, calculation, verification, and interpretation of the result in its original context. International research emphasizes the role of mathematical modelling as a connection between real-world situations and school mathematics, while recent research in geometry education highlights spatial reasoning, visualization, problem solving, measurement, and modelling as important dimensions of secondary geometry learning. Based on these perspectives and Uzbek methodological sources, the article proposes principles for designing practice-oriented tasks on solids of revolution. Examples involving cylindrical containers, pipes, conical objects, spherical objects, and material-use problems demonstrate how surface area and volume can be connected with authentic mathematical situations. The study is theoretical and methodological in nature and does not report experimental or statistical results that were not actually obtained by the authors.

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.