The Role of Visualization in Mathematics and its Implementation in Nomotex DLS

Abstract

In this paper, visualizations of second-order curves are considered, created in the Digital Learning System (DLS) Nomotex. Engineering and mathematical examples related to these concepts are given. The visualization collection created on the basis of the Nomotex platform is used for training engineers at the Bauman Moscow State Technical University. Engineering examples help students better understand the essence of mathematical concepts, as well as learn where this section of mathematics is applied. The paper provides mathematical and engineering examples on this topic, in particular, various images of an ellipse and its properties are given, an elliptical reflector is demonstrated. The article discusses the feasibility of using engineering examples for a particular specialty. The paper compares the performance of students using the Nomotex platform and students studying in the traditional way. The authors estimate the time required to create such visualizations. The authors note the expediency of creating a collection of visual mathematics, which would contain similar visualizations for all mathematical concepts. All examples are implemented using Phyton language facilities.