Развитие пространственного мышления студентов инженерно-технических направлений посредством изучения геометрических приложений кратных интегралов

Abstract

The research objective includes developing methodology to study the topic “Geometrical Applications of Multiple Integrals” with a view to form spatial thinking of engineering and technical profile students. An analysis of psychological, pedagogical and methodological literature on the problem testifies to the absence of universal methodology to study this branch of mathematics at higher education institutions. Causes of students’ low “geometrical” competence are revealed. Scientific originality of the paper involves developing stage-by-stage methodology to study the topic “Geometrical Applications of Multiple Integrals”, which includes tasks aimed to systematize previously acquired knowledge and skills. The conducted research allows identifying intra-disciplinary and interdisciplinary relations of geometry with allied academic disciplines within fields of study 13.03.01 “Heat Power Engineering and Heat Engineering”, 13.03.02 “Electrical and Power Engineering”, 35.03.06 “Agricultural Engineering”. The developed methodology allows systematization of previously studied theoretical and practical material on plane and spatial geometry, helps to ascertain correlation of newly introduced and previously studied material, promotes development of logical and spatial thinking of engineering and technical profile students.