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

2020 ◽  
Vol 35 ◽  
pp. 03007
Author(s):  
Yury I. Dimitrienko ◽  
Kirill M. Zubarev ◽  
Elena A. Gubareva ◽  
Sergei V. Sborshikov ◽  
Raisa K. Alesina

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.

2020 ◽  
Vol 35 ◽  
pp. 03013
Author(s):  
Yury I. Dimitrienko ◽  
Tatyana V. Oblakova ◽  
Kirill M. Zubarev ◽  
Anna A. Salnikova

The paper considers the concept of constructing Probability Theory and Mathematical Statistics electronic course for interactive learning. The approach to the design of the e-course is described, and the advantages of using the new teaching technology in the Digital Learning System Nomotex, developed at the Department of Computational Mathematics and Mathematical Physics of the Bauman Moscow State Technical University, are demonstrated.


2020 ◽  
Vol 35 ◽  
pp. 03005
Author(s):  
Yury I. Dimitrienko ◽  
Michael P. Gordin ◽  
Elena A. Gubareva ◽  
Anna E. Pichugina

The paper discusses the methodology and technology of teaching the discipline «Mathematical Analysis» using the new Digital Learning System Nomotex (the Nomotex DLS), developed at the Department of «Computational Mathematics and Mathematical Physics» Bauman Moscow State Technical University (BMSTU). A new conceptual model for conducting lectures and practical classes in blended learning is presented. Examples of interactive computer visualization of some mathematical concepts within the discipline «Mathematical analysis» are presented.


2020 ◽  
Vol 35 ◽  
pp. 03011
Author(s):  
Yury I. Dimitrienko ◽  
Oleg D. Algazin ◽  
Oksana V. Skudneva ◽  
Julia V. Ozhgibisova ◽  
Raisa K. Alesina ◽  
...  

Information about the electronic course “Complex Analysis” created in the Digital Learning System NOMOTEX is presented. The analysis of the results of experimental teaching of students of the Bauman Moscow State Technical University on this course.


2020 ◽  
Vol 35 ◽  
pp. 03004
Author(s):  
Yuriy I. Dimitrienko ◽  
Mikhail P. Gordin ◽  
Elena A. Gubareva ◽  
Anna E. Pichugina ◽  
Raisa K. Alesina ◽  
...  

The paper describes the peculiarities of the development of the digital course “Mathematical Analysis. 1st semester” in the digital learning system Nomotex (DLS “NOMOTEX”) [1], developed at the Department of Computational Mathematics and Mathematical Physics, Bauman Moscow State Technical University. The features of innovative teaching methods using this course are also presented.


2020 ◽  
Vol 35 ◽  
pp. 03003
Author(s):  
Yuriy I. Dimitrienko ◽  
Elena A. Gubareva ◽  
Anna E. Pichugina ◽  
Dmitriy A. Chebakov ◽  
Ivan A. Tumanov

The paper describes a methodology for the design of digital mathematical courses for engineers in the digital learnig system Nomotex (DLS “NOMOTEX”) [1], developed at the Department of Computational Mathematics and Mathematical Physics, Bauman Moscow State Technical University, based on the usage of the Knowledge Base created in the DLS “NOMOTEX”. The technique allows one to create mathematical courses of varying complexity and resulting level of knowledge, depending on the direction of training (specialty).


Author(s):  
Marina Aleksandrovna Matyushina

This article examines the problem of professional identity of modern students majoring in psychology, as well as the problem of creativity as one of the essential universal competencies of a modern specialist. The author reviews the question of the need for accompanying the process of formation of professional identity of the students majoring in psychology. The object of this research is the professional identity of such students, while the subject is the creativity peculiarities of students majoring in psychology with different status of professional identity. The article provides the results of one of the research stages on the role of creativity in formation of professional identity of psychology students. The sampling involved 155 students majoring in psychology from Novosibirsk State Technical University and Siberian State Transport University. The conducted empirical research reveals the creativity peculiarities of psychology students with different status of professional identity. The authors also assumed that the manifestations of imagery and verbal creativity differ among the students with different status of professional identity. The students with the dominant achieved status of professional identity demonstrate the highest indicators by the parameters of imagery creativity: degree of development and originality (20 circles). For the students with the dominant status of pseudo-identity, the manifestations of imagery and verbal creativity are not typical. The acquired results allow understanding the peculiarities of manifestation of creativity among psychology students with different status of professional identity on a deeper level.


Author(s):  
A. L. Galinovsky

The article examines the problem of personnel training in modern conditions. The task is set about the competencies of students of a technical university, what educational technologies are effective for training personnel, how to form the topic of scientific work for students. The article concludes that scientific and research work for the educational process is an important discipline, the importance of this discipline is very high. The article notes the role of the discipline “Introduction to the specialty” and its importance for further education at the university. All these questions are asked at a time when the world is entering a new industrial revolution.


2020 ◽  
Vol 35 ◽  
pp. 03012
Author(s):  
Yury I. Dimitrienko ◽  
Tatiana L. Anisova ◽  
Anna A. Smekhnova ◽  
Alexander V. Alesin

The electronic course “Differential Equations” in the Digital Learning System (DLS) NOMOTEX is developed and used for the mathematical training of future engineers. The artcle presents the content and features of the development of the module, as well as the methodology for conducting classroom studies in a digital educational environment. In the Nomotex DLS, the e-course is presented as a neural network structure of knowledge a tree. The content of the e-course is divided into chapters and paragraphs. Within a paragraph, the content is presented in the form of units of knowledge called quanta. The structure of quanta is described in detail, examples are given. The peculiarity of the described methodology is the preservation of traditional forms of education lectures and seminars with the use of a digital educational environment together. At the same time, in the learning process using the NOMOTEX DLS, traditional classroom lessons change significantly. The features of conducting lectures and seminars, measures for monitoring students’ knowledge are described. The Digital Learning System NOMOTEX allows you to implement various courses, forming the content of lectures and seminars from the existing knowledge bank. E-course, usually a part of the course “Integrals and Differential Equations”, read to future engineers in the spring semester of the first year at the Bauman Moscow State Technical University.


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