Graphic Culture of Constructive Modeling of Figures in Metric Stereometry
Graphic Culture of Constructive Modeling of Figures in Metric Stereometry
Author(s): Ivan Lenchuk, Alla PrusSubject(s): Social Sciences, Education
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: methodology of geometry; constructivism of geometrical problem; graphic culture; modeling; alignment technique; visualization and visual representation
Summary/Abstract: Two approaches for drawing of stereometric objects by a constructive method are presented using algorithms designed to help solve problems in the construction of correct, visual and easy-to-draw drawings. The first approach is based on operations borrowed from engineer drawing, where standardized axonometric projections guarantee the quality of drawings. The second one is based on the experience of many generations of teachers and practitioners. A list of methodological advice has been proposed. The analytical method of reasoning in computational problems is promoted, the method of combining with the image plane is established, which visualizes the way to the result, adds empiricism to the discipline. The presented statistical survey among mathematics teachers demonstrates their attitude to the constructive solution of stereometric problems. The advantages and disadvantages of teaching constructivism methods are highlighted. It has been established that the skills of qualitative drawings contribute to the formation of life competencies of pupils.
Journal: Математика и информатика
- Issue Year: 66/2023
- Issue No: 3
- Page Range: 281-297
- Page Count: 17
- Language: English
