Wolfram Mathematica Functional Possibilities for Curved Lines and Surfaces Visualization

2021 ◽  
Vol 9 (1) ◽  
pp. 29-38
Author(s):  
S. Ignat'ev ◽  
A. Folomkin ◽  
E. Muratbakeev
Keyword(s):  
Rapid Development ◽  
Educational Institution ◽  
Simulation Models ◽  
High Educational Institution ◽  
Educational Process ◽  
Descriptive Geometry ◽  
Functional Capabilities ◽  
Wolfram Mathematica ◽  
Pedagogical Design ◽  
Depth Study

The paper states that the current conditions in which the education system is located, and the rapid development of IT require constant improvement of methodological materials, taking into account the full capacity of the current software. Examples of programs necessary for preparation of methodological materials for high-quality classes are given. The purpose of the paper was to identify the Wolfram Mathematica didactic potential when conducting classes in the disciplines of the geometric and graphic profile at a technical high educational institution. In this paper has been performed analysis of literature sources both domestic and foreign ones on the Wolfram Mathematica system application in science and teaching of various disciplines. It has been shown that the program use scope is very wide, in fact, it is comprehensive and requires additional and in-depth study. Examples of Wolfram Mathematica using in mathematics, physics, chemistry, geometry, robotics, virology, and the humanities are given. In the paper have been provided examples for pedagogical design of simulation models for an electronic course on descriptive geometry in the Moodle system. An example of code written in the Wolfram Mathematica is provided. Interactive models developed during the design are presented, which allow the user to change the constructed curves and surfaces’ parameters. Have been defined some functional capabilities of the system, and has been revealed the Wolfram Mathematica didactic potential for teaching geometric and graphic disciplines. Have been considered other authors’ similar models, which can be used in the educational process to increase the clarity of the material presented in the classroom. In conclusion it is pointed out that interactive visualization in the "Descriptive Geometry" discipline, together with classical working practices, significantly enriches the content of geometric education.

Wolfram Mathematica Functional Possibilities for Curved Lines and Surfaces Visualization

2021 ◽  
pp. 28-37
Author(s):  
S. Ignat'ev ◽  
A. Folomkin ◽  
E. Muratbakeev
Keyword(s):  
Rapid Development ◽  
Educational Institution ◽  
Simulation Models ◽  
High Educational Institution ◽  
Educational Process ◽  
Descriptive Geometry ◽  
Functional Capabilities ◽  
Wolfram Mathematica ◽  
Pedagogical Design ◽  
Depth Study

The paper states that the current conditions in which the education system is located, and the rapid development of IT require constant improvement of methodological materials, taking into account the full capacity of the current software. Examples of programs necessary for preparation of methodological materials for high-quality classes are given. The purpose of the paper was to identify the Wolfram Mathematica didactic potential when conducting classes in the disciplines of the geometric and graphic profile at a technical high educational institution. In this paper has been performed analysis of literature sources both domestic and foreign ones on the Wolfram Mathematica system application in science and teaching of various disciplines. It has been shown that the program use scope is very wide, in fact, it is comprehensive and requires additional and in-depth study. Examples of Wolfram Mathematica using in mathematics, physics, chemistry, geometry, robotics, virology, and the humanities are given. In the paper have been provided examples for pedagogical design of simulation models for an electronic course on descriptive geometry in the Moodle system. An example of code written in the Wolfram Mathematica is provided. Interactive models developed during the design are presented, which allow the user to change the constructed curves and surfaces’ parameters. Have been defined some functional capabilities of the system, and has been revealed the Wolfram Mathematica didactic potential for teaching geometric and graphic disciplines. Have been considered other authors’ similar models, which can be used in the educational process to increase the clarity of the material presented in the classroom. In conclusion it is pointed out that interactive visualization in the "Descriptive Geometry" discipline, together with classical working practices, significantly enriches the content of geometric education.

TECHNOLOGIES OF PEDAGOGICAL DESIGN AS A TOOL FOR TRAINING MANAGERS IN GOAL SETTING WHEN PLANNING THE ACTIVITIES OF A PRESCHOOL EDUCATIONAL INSTITUTION

2021 ◽  
Vol 3 (102) ◽  
pp. 164-175
Author(s):  
NATALIA V. IVANOVA ◽  
MARINA A. SUKHAREVA
Keyword(s):  
Goal Setting ◽  
Educational Institution ◽  
Educational Process ◽  
Smart Technology ◽  
Pedagogical Design ◽  
Activity Planning ◽  
Training Managers

The article describes theoretical and practice-oriented aspects of applying pedagogical design technologies while setting the system of goals for a preschool educational institution. Based on the difficulties experienced by managers in activity planning for a preschool educational institution, the authors have substantiated and revealed technological aspects to train managers to set the goals applying the principles of R. Gagné, SMART technology, the author's technique of “5 indicators” as the most accurate and productive tools of pedagogical design that ensure the efficiency of the educational process.

Academic Olympics on Descriptive Geometry As a Catalyst of Heuristic Thinking

2017 ◽  
Vol 5 (2) ◽  
pp. 93-101 ◽  
Author(s):  
Сальков ◽  
Nikolay Sal'kov ◽  
Вышнепольский ◽  
Vladimir Vyshnyepolskiy ◽  
Аристов ◽  
...  
Keyword(s):  
Spatial Perception ◽  
Academic Discipline ◽  
Educational Institution ◽  
High Educational Institution ◽  
Descriptive Geometry ◽  
Geometric Problems ◽  
Problem Book ◽  
The Mind ◽  
Mental Resources ◽  
High Educational

Gaspard Monge wrote: "The charm that accompanies science can overcome man's natural aversion to the mind intenseness and make them find pleasure in their mind’s exercise that for most of people seems as tiresome and boring occupation". He had written it including descriptive geometry. To exercise one’s mind — what is this but the brain building, and science is accompanied just by heuristic thinking, so that brings new discoveries for an intellectual. The most difficult in descriptive geometry is the ability to represent a spatial geometric figure or such figures’ combination on two images. It is clear that the usual problems of a course are resolved within the academic discipline, and are typical ones, readily understandable for any student of a technical high educational institution, while the tasks at Academic Olympics, even if these tasks are destined for use inside a high educational institution, are more difficult. If for a solving of problems from an ordinary problem book on descriptive geometry’s course it is enough to know literally a few algorithms, for tasks of increased difficulty that is not enough. The Academic Olympics’ functions reveal such a feature of those on descriptive geometry as their inseparable property to be a catalyst for development of heuristic thinking. Here there is not only the disclosure of students’ abilities to solve ordinary geometric problems, but the ability to solve problems of heuristic direction in general. It is obvious that knowledge of typical problems on the course of descriptive geometry is absolutely insufficiently, as well as it is insufficiently to know school geometry, that currently almost is not teaching in schools — now it is necessary to have not only the spatial perception, but at least the beginnings of heuristic thinking. This, plus the mobilization of all mental resources, contributes both to the solution of given geometric problems, and further solving other problems in the related areas of science and technology.

Use of Multimedia Technologies in Formation of Professional Competence of Students of Technical University

2016 ◽  
Vol 4 (2) ◽  
pp. 55-63 ◽  
Author(s):  
Тен ◽  
Marina Ten
Keyword(s):  
Technical College ◽  
Professional Competence ◽  
Rapid Development ◽  
College Education ◽  
Integrated Approach ◽  
Educational Process ◽  
Descriptive Geometry ◽  
Professional Engineer ◽  
Graphical Environment ◽  
Multimedia Technologies

This article presents the integrated approach of the professional competencies of students of the correspondence form of evening-technical college training. The essence of the approach is the use of traditional forms of education, complemented by innovative forms: interactive content of descriptive geometry teacher in multimedia environments, the use of graphical editors in the learning process. These developments were due to the orientation of modern education on the priority development of creative qualities of professional engineer, the development of which, according to many experts, is possible in a graphical environment [3; 9]. On the other hand, there are the problems of mastering the course of descriptive geometry for the students in absentia-evening form of a technical college education related to insufficient spatial representations. The intensification of the educational process, especially training programs with restrictions on hours of classroom courses assimilation, brought to the fore the search for ways to solve this problem. The rapid development of the Information Society have significantly revised teaching methods, individualizing the educational trajectory. Implementation of the developed pedagogical impact of the measures has shown that the uptake rate of descriptive geometry substantially improved without increasing the teaching hours.

On Some Problems of Graphics Training at Technical High Educational Institutions (view from St. Petersburg)

10.12737/3848 ◽  
2014 ◽  
Vol 2 (1) ◽  
pp. 46-52 ◽  
Author(s):  
Тихонов-Бугров ◽  
Dmitriy Tikhonov-Bugrov
Keyword(s):  
Educational Institution ◽  
High Educational Institution ◽  
Descriptive Geometry ◽  
Educational Institutions ◽  
First Year ◽  
School Program ◽  
Saint Petersburg ◽  
Competence Level ◽  
High Educational

A review of problems related to geometry and graphics training at school and high educational institution has been presented within the meaning of discussions on meeting of «Descriptive Geometry, Graphics, CADD» section of Saint Petersburg House of Scientists. It has been shown that in connection with minimization in the school program of graphics and due to focused training on geometry, the competence level of freshmen does not meet high educational institutions’ requirements. It is firmly established that descriptive geometry is the only subject to facilitate these gaps liquidation during the first year of educating. Different variants of educating programs are considered and analyzed.

“Applied Geometry” Discipline Adaptation to Undergraduate for Exploitative Specialities of an Aviation High Educational Institution

2020 ◽  
Vol 8 (1) ◽  
pp. 57-64 ◽  
Author(s):  
Olga Nazarova
Keyword(s):  
Geometric Modeling ◽  
Educational Institution ◽  
High Educational Institution ◽  
Bachelor's Degree ◽  
Descriptive Geometry ◽  
Professional Activities ◽  
Geometric Problems ◽  
Competency Based ◽  
Undergraduate Programs ◽  
High Educational

The problem of teaching and formulating the tasks for the “Applied Geometry” discipline is considered in this paper. Currently, in aviation high educational institutions there is a tendency to reduce the number of hours allocated to graphic disciplines; in addition, “Descriptive Geometry” – the habitual name of the discipline – has been replaced by name “Applied Geometry”. This is certainly connected with the transition to learning on undergraduate programs, that implies a competency-based approach, i.e., training in accordance with the necessary knowledge and methods of activity in a particular area [4; 9; 23; 29; 30; 34]. The planned results of learning in “Applied Geometry” include knowledge of methods for solving applied engineering-geometric problems, as well as the ability to use the basic elements of applied geometry and engineering graphics in professional activities, and to solve specific applied problems of geometric modeling [4; 14; 20; 22; 32]. For these reasons arises the question of the need to adapt “Descriptive Geometry” to the requirements and programs for the training of bachelors, bringing it to conformity with the name “Applied Geometry” of the discipline. According to the results of “Applied Geometry” studying, students ought to gain experience and have the ability to independently solve cognitive, organizational and other problems related to their future professional activities [28–30]. In this paper is proposed a general approach to the formulation of “Applied Geometry” problems for cadets pursuing a bachelor's degree in “Air Navigation” (25.03.03) and “Operation of Airports and Flight Support of Aircraft” (25.03.04). Using rather simple examples, has been considered the possibility to formulate the problem in such a way that instead of the traditional formulation it could be applied for a specific bachelor's degree. As well has been considered a complex applied problem, which is suitable as a task for performing a computational and graphic work, since it integrates several topics of the discipline.

scholarly journals CURRENT STATE AND DEVELOPMENT PROSPECTS OF APPLIED GEOMETRY SCIENTIFIC SCHOOL OF IGOR SIKORSKY KPI

2021 ◽  
pp. 5-12
Author(s):  
Volodymyr Vanin ◽  
Gennadii Virchenko ◽  
Olena Gumen
Keyword(s):  
Computer Graphics ◽  
Computer Aided Design ◽  
Educational Institution ◽  
Practical Experience ◽  
Machine Building ◽  
Educational Process ◽  
Polytechnic Institute ◽  
Descriptive Geometry ◽  
Scientific School ◽  
Kyiv Polytechnic Institute

The emergence of the applied geometry school of the Igor Sikorsky Kyiv Polytechnic Institute is associated with the formation of an educational institution at the end of the 19th century. For more than 120 years of history, significant results have been achieved, which have been implemented into production and the educational process. The available significant theoretical and practical achievements allowed to identify promising directions for further development. During this period, the Department of Descriptive Geometry, Engineering and Computer Graphics has published thousands of scientific works, hundreds of educational and methodological publications, 15 doctoral and more than 60 candidate dissertations have been defended. The scientific topics are connected with the shaping of complex curves and surfaces by methods of algebraic, differential, projective geometry, taking into account the needs of production; construction of agricultural machinery; multidimensional geometry; involute-evolutionary models; design and manufacture of aircrafts; optimization of industrial products; computer geometry, etc. The obtained results have been implemented at the leading machine-building enterprises of Ukraine, such as SE “Antonov”, Kharkiv State Aviation Production Enterprise, OJSC “Meridian” named after S.P. Korolyov, Research and Production Association "Kyiv Automatiсs Plant", etc. Over the past decade, more than 30 patents for utility models have been obtained, which are successfully applied in practice. Thus, the school of applied geometry of the Igor Sikorsky Kyiv Polytechnic Institute has more than a century of history. Over the years, a significant contribution has been made to the development of domestic science, industry, and higher education. Today the existing achievements contribute to improving the efficiency of computer-aided design of various technical products, processes of its manufacture, and operation. Nowadays, the staff of the Department of Descriptive Geometry, Engineering and Computer Graphics faces a number of important scientific, educational and production problems, which are successfully solved thanks to the accumulated theoretical and practical experience. This is also facilitated by the wide involvement of young people in these activities.

Modern Problems of “Applied Geometry and Engineering Graphics” Course Teaching For Exploitative Specialties of an Aviation High Educational Institution

2020 ◽  
Vol 8 (2) ◽  
pp. 58-65 ◽  
Author(s):  
Olga Nazarova
Keyword(s):  
Geometric Modeling ◽  
Educational Institution ◽  
High Educational Institution ◽  
Learning Technologies ◽  
Educational Process ◽  
Professional Competencies ◽  
Civil Aviation ◽  
Engineering Graphics ◽  
Professional Activities ◽  
High Educational

In an aviation high educational institution, when getting students education in exploitative specialties it must be taken into account that it must be conducted in accordance with necessary requirements to the formedness level of professional competences in a specialized area. The planned results of “Applied Geometry and Engineering Graphics” learning include knowledge of methods for applied engineering and geometric problems solving, the ability to use the main elements of applied geometry and engineering graphics in professional activities, and solving of specific applied problems related to geometric modeling. The results of “Applied Geometry and Engineering Graphics” study are to gain experience and skills for solution of cognitive, organizational and other problems by themselves related to students’ future professional activities. In this paper are considered the main problems and tasks to be solved to achieve the necessary level for compliance of a student studying in one of the exploitative specialties at the Ulyanovsk Institute of Civil Aviation named after Chief Marshal of Aviation B.P. Bugaev, with professional competencies and modern educational standards. Issues related to the organization of “Applied Geometry and Engineering Graphics” discipline study, such as computerization of the educational process, use of distance learning technologies in the educational process, formation of students’ cognitive interest and spatial imagination. Has been presented the proposed structure of “Applied Geometry and Engineering Graphics” course for the exploitative specialties of Ulyanovsk Institute of Civil Aviation; the need to develop a task book for classroom and home works, taking into account their applied value for formation of professional competencies, has been justified.

The Training of the Fufure Teachers of Ukrainian Language and Literature by Means of Interactive Studying Techniques

2020 ◽  
pp. 248-269
Author(s):  
Tetiana Rybchenko Keser
Keyword(s):  
Higher Education ◽  
Interactive Learning ◽  
Educational Institution ◽  
Learning Technologies ◽  
Educational Process ◽  
Project Work ◽  
Future Teachers ◽  
Learning Methods ◽  
Main Research ◽  
Language And Literature

The article focuses on the theoretical and methodological aspects of the use of interactive learning and its advantages over traditional learning. The use of interactive learning in both secondary and higher education is analyzed. The research goal is to theoretically substantiate and highlight the introduction of methods of the model of training future Ukrainian language and literature teachers by means of interactive learning technologies, as well as to determine the factors of their choice. The main research methods used were analysis, generalization and modeling, observation, synthesis, systematization. The results of the conducted research allowed the author to reveal the qualities that a future teacher of Ukrainian language and literature should possess; to describe some pedagogical problems of training the future teachers of Ukrainian language and literature by means of interactive learning technologies.The benefit of this study is the defined content of interactive learning, which is believed to be a specially organized comfortable mutual learning of participants of the educational process as equal its subjects, which provides for their continuous active interaction, during which each of the students realizes and reflects all its knowledge and actions, feels successful and intellectually capable. The author identified such interactive learning methods of the model of training future teachers of Ukrainian language and literature in higher education institutions as: trainings, educational discussions; game technologies; interactive lectures: problem lectures, lecture-visualization, binary lecture, lecture-press conference, round table, cases, brainstorming. Moreover, the most used interactive learning methods of training future teachers of Ukrainian language and literature in universities are given and theoretically grounded; they are training, discussion, role playimg, method of «Spoiled phone», method of «remote project work Minecraft», «Сourt hearing», «Augmented reality», use of presentations. The author highlights their introduction into the work of the National Pedagogical Dragomanov University, states the positive aspects of interactive learning compared to classical one, determines seven factors for the choice of methods. As a result the author makes a conclusion that the use of interactive technologies not only contributes to the creation of an atmosphere of cooperation and mutual understanding in the educational institution, but also implements the basic principles of personality-oriented learning.

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