scholarly journals Digital Representations of Mathematical Objects in the Context of Various Forms of Representation of Mathematical Knowledge

2020 ◽  
pp. 58-86
Author(s):  
Semjon F. Adlaj ◽  
◽  
Sergey N. Pozdniakov ◽  
Keyword(s):  
Comparative Analysis ◽  
Digital Media ◽  
Mathematical Knowledge ◽  
Information Environment ◽  
Teaching Mathematics ◽  
Mathematical Concepts ◽  
Mathematical Objects ◽  
Computer Tools ◽  
Digital Representations ◽  
The Impact

This article is devoted to a comparative analysis of the results of the ReMath project (Representing Mathematics with digital media), devoted to the study of digital representations of mathematical concepts. The theoretical provisions and conclusions of this project will be analyzed based on the theory of the information environment [1], developed with the participation of one of the authors of this article. The analysis performed in this work partially coincides with the conclusions of the ReMath project, but uses a different research basis, based mainly on the work of Russian scientists. It is of interest to analyze the work of the ReMath project from the conceptual positions set forth in this monograph and to establish links between concepts and differences in understanding the impact of computer tools (artifacts) on the process of teaching mathematics. At the same time, the authors dispute the interpretation of some issues in Vygotsky’s works by foreign researchers and give their views on the types and functions of digital artifacts in teaching mathematics.

scholarly journals Digital Representations of Mathematical Objects in the Context of Various Forms of Representation of Mathematical Knowledge

2020 ◽  
pp. 58-86
Author(s):  
Semjon F. Adlaj ◽  
◽  
Sergey N. Pozdniakov ◽  
Keyword(s):  
Comparative Analysis ◽  
Digital Media ◽  
Mathematical Knowledge ◽  
Information Environment ◽  
Teaching Mathematics ◽  
Mathematical Concepts ◽  
Mathematical Objects ◽  
Computer Tools ◽  
Digital Representations ◽  
The Impact

This article is devoted to a comparative analysis of the results of the ReMath project (Representing Mathematics with digital media), devoted to the study of digital representations of mathematical concepts. The theoretical provisions and conclusions of this project will be analyzed based on the theory of the information environment [1], developed with the participation of one of the authors of this article. The analysis performed in this work partially coincides with the conclusions of the ReMath project, but uses a different research basis, based mainly on the work of Russian scientists. It is of interest to analyze the work of the ReMath project from the conceptual positions set forth in this monograph and to establish links between concepts and differences in understanding the impact of computer tools (artifacts) on the process of teaching mathematics. At the same time, the authors dispute the interpretation of some issues in Vygotsky’s works by foreign researchers and give their views on the types and functions of digital artifacts in teaching mathematics.

scholarly journals Digital Representations of Mathematical Objects in the Context of Various Forms of Representation of Mathematical Knowledge

2020 ◽  
pp. 58-86
Author(s):  
Semjon F. Adlaj ◽  
◽  
Sergey N. Pozdnyakov ◽  
Keyword(s):  
Comparative Analysis ◽  
Digital Media ◽  
Mathematical Knowledge ◽  
Information Environment ◽  
Teaching Mathematics ◽  
Mathematical Concepts ◽  
Mathematical Objects ◽  
Computer Tools ◽  
Digital Representations ◽  
The Impact

This article is devoted to a comparative analysis of the results of the ReMath project (Representing Mathematics with digital media), devoted to the study of digital representations of mathematical concepts. The theoretical provisions and conclusions of this project will be analyzed based on the theory of the information environment [1], developed with the participation of one of the authors of this article. The analysis performed in this work partially coincides with the conclusions of the ReMath project, but uses a different research basis, based mainly on the work of Russian scientists. It is of interest to analyze the work of the ReMath project from the conceptual positions set forth in this monograph and to establish links between concepts and differences in understanding the impact of computer tools (artifacts) on the process of teaching mathematics. At the same time, the authors dispute the interpretation of some issues in Vygotsky’s works by foreign researchers and give their views on the types and functions of digital artifacts in teaching mathematics.

scholarly journals COMPUTER ANIMATION IN 7TH GRADE ALGEBRA LESSONS: RESULTS OF EXPERIMENTAL WORK

2021 ◽  
Vol 58 (4) ◽  
pp. 126-133
Author(s):  
S.V. Saryglar ◽  
Keyword(s):  
Experimental Work ◽  
Computer Animation ◽  
Work Experience ◽  
Mathematical Knowledge ◽  
Research Work ◽  
Educational Activity ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Mathematical Concepts ◽  
School Research

Statement of the problem. The article deals with the problem of visualization in teaching mathematics using animated drawings. The purpose of the article is to present the analysis of the experimental work on computer animation in the GeoGebra environment as a means of improving mathematical education at school. Research methodology. The methodological foundations of the research include activity-based, informational and visual approaches to teaching mathematics, a synthesis of the author’s work experience in testing computer animation at school. Research results. The results of the experimental work confirmed the expediency of using computer animation in the process of teaching algebra in the 7th grade (educational activity of students increased, as well as interest in research work and quality of mastering mathematical knowledge and skills). Conclusion. The use of computer animation in math lessons at school increases the level of understanding and assimilation of mathematical knowledge by providing clear illustrations of mathematical concepts and statements. The analysis of experimental work using the animation capabilities of computer environments shows an increase in the technological equipment of modern mathematics teachers, which help them achieve higher educational results.

scholarly journals USE OF COMPUTER TOOLS TO DEVELOP MOTIVATION OF STUDENTS TO STUDY MATHEMATICS: CRITERIA OF EFFICIENCY

2021 ◽  
pp. 126-136
Author(s):  
Tetiana Tabler
Keyword(s):  
Mathematical Thinking ◽  
Cognitive Activity ◽  
Teaching Mathematics ◽  
Learning Tools ◽  
Computer Tools ◽  
Teaching Aids ◽  
Interactive Tools ◽  
Mathematical Anxiety ◽  
Learning Development ◽  
The Impact

The article considers the problem of development of cognitive activity of students in mathematics lessons. The peculiarities of the use of the formative system of assessment in the process of teaching mathematics with the use of computer tools in the context of the tasks of personality-oriented learning. The main risk factors for increasing the mathematical anxiety of students are identified. The pedagogical factors of motivation development and increase of interest in learning, development of mathematical thinking and reduction of mathematical anxiety due to the development of methods to increase the clarity of learning and cognitive activity of students related to the use of computer tools are substantiated. The criteria are substantiated and the indicators of assessment of the development of cognitive activity of students of 7‒9 grades of gymnasiums in the process of teaching mathematics with the use of computer tools are distinguished: motives of students learning at school; interest in studying the study of mathematics (algebra and geometry); success in the study of mathematics (algebra and geometry); motivation to study mathematical disciplines; mathematical anxiety. A method of assessing the impact of the use of computer tools to study certain topics and sections of mathematics in grades 7‒9 in general secondary education, which will increase the motivation of students to study the subject and reduce the level of mathematical anxiety of students. The results are presented and the dynamics of the indicators of the experimental influence of the use of computer interactive tools on the motivation of students to study mathematics is analyzed. Keywords: personality-oriented learning; mathematical disciplines; mathematical anxiety; pedagogical conditions; mathematics teaching aids; motivation to study mathematics; interactive computer learning tools; success in the study of mathematics.

scholarly journals ANIMATED IMAGES AS A MEANS OF DIGITAL TECHNOLOGIES IN TEACHING MATHEMATICS

2020 ◽  
Vol 53 (3) ◽  
pp. 54-61
Author(s):  
S.V. Larin ◽  
◽  
S.V. Chilbak-ool ◽  
Keyword(s):  
Public Relations ◽  
Work Experience ◽  
Mathematical Knowledge ◽  
School Teacher ◽  
New Technology ◽  
Effective Means ◽  
Digital Technologies ◽  
Teaching Mathematics ◽  
Mathematical Concepts ◽  
Computer Environments

Statement of the problem. Universal digitalization of economy and public relations is a reality of today, and a school teacher is faced with the task of forming a personality ready to reveal his/her creative potential in the digital economy. The problem is to outline the ways of digitalization of teaching mathematics that meets the needs of society, and contribute to the understanding and assimilation of mathematical knowledge based on digital educational resources using the animation capabilities of computer environments. The purpose of the article is to present animated images in the GeoGebra environment as new means of digital technologies for teaching mathematics. Research methodology. Analysis of scientific, educational and methodological literature, synthesis of the authors’ work experience at school and university in approbation of elements of the mathematics teaching system using animated images. Research results. Specific types of animated images are presented and the expediency of their use as effective means of digital technologies for teaching mathematics in the lessons of arithmetic, algebra, trigonometry and the beginnings of mathematical analysis is substantiated. Conclusion. The use of new technology with the use of animated images in mathematics lessons at school increases the level of understanding and assimilation of mathematical knowledge by providing clarity of mathematical concepts and statements. In addition, animated images are used to eliminate computational difficulties, to generate tasks of the same type, and to organize self-testing of students’ knowledge. The creation of digital educational content using the animation capabilities of computer environments increases the technological equipment of a modern mathematics teacher, which will allow him/her to achieve better educational results.

scholarly journals NEW TEACHING MATHEMATICS TEACHING EFFECTIVENESS OF THE USE OF INFORMATION AND COMMUNICATION TECHNOLOGIES

2017 ◽  
Vol 5 (1) ◽  
pp. 214-229
Author(s):  
Zhanys Aray Boshanqyzy ◽  
Nurkasymova Saule Nurkasymovna
Keyword(s):  
Information And Communication Technologies ◽  
Teaching Effectiveness ◽  
Mathematical Thinking ◽  
Communication Technologies ◽  
Teaching Mathematics ◽  
Mathematical Concepts ◽  
Information And Communication ◽  
Effective Use ◽  
Main Ideas ◽  
The Impact

The possibilities of computer technologies in improving the quality of teaching mathematics and its application in the 7th grade students studied the impact on the development of mathematical thinking. Teachers and pupils kanşalıktı methodology to apply this technology meñgergendikteri tested and determined to improve the methods of teaching mathematics in the scientific literature of the main ideas, 7th grade, based on the best practices in the teaching of mathematics and taking into account the requirements set by the company's mastery of mathematical concepts and rules and reports identified the role of the computer in teaching and service, including through the effective use of the computer are determined based on the study of the material should be studied.

Corruption as “one‑stop‑shop”: theory and empirical analysis

2018 ◽  
pp. 32-51
Author(s):  
R. Yu. Kochnev ◽  
L. I. Polishchuk ◽  
A. Yu. Rubin
Keyword(s):  
Comparative Analysis ◽  
Business Environment ◽  
Enterprise Performance ◽  
Double Jeopardy ◽  
One Stop ◽  
The Commons ◽  
Public Production ◽  
Performance Project ◽  
The Impact ◽  
Sector Theory

We present the comparative analysis of the impact of centralized and decentralized corruption for private sector. Theory and empirical evidence point out to a “double jeopardy” of decentralized corruption which increases the burden of corruption upon private firms and weakens the incentives of bureaucracy to provide public production inputs, such as infrastructure. These outcomes are produced by simultaneous free-riding and the tragedy of the commons effects. The empirical part of the paper utilizes data of the Business Environment and Enterprise Performance project.

Assessment of small businesses activities in Ukraine

2019 ◽  
pp. 40-47
Author(s):  
Igor Ponomarenko ◽  
Kateryna Volovnenko
Keyword(s):  
Comparative Analysis ◽  
Statistical Analysis ◽  
Small Business ◽  
Small Businesses ◽  
Government Agencies ◽  
Small Enterprises ◽  
The Subject ◽  
Business Entities ◽  
The Impact ◽  
Micro Enterprises

The subject of the research is a set of approaches to the statistical analysis ofthe activities of small business entities in Ukraine, including micro-enterprises. The purpose of writing this article is to study of the features of functioningof small business entities in Ukraine. Methodology. The research methodology isto use a system-structural and comparative analysis (to study the change in thenumber of small enterprises by major components); monographic (when studyingmethods of statistical analysis of small businesses); economic analysis (when assessing the impact of small business entities on socio-economic phenomena andprocesses in Ukraine). The scientific novelty consists to determine the features ofthe functioning of small businesses in Ukraine in modern conditions. The influenceof the activities of the main socio-economic and political indicators on the activities of small enterprises in recent periods of time has been identified. It has beenestablished that there is flexibility in the development of strategies by small businesses in conditions of significant competition, which makes it possible to quicklyrespond to changing situations in specific markets. Conclusions. The use of acomprehensive statistical analysis of small businesses functioning in Ukraine willallow government agencies to develop a set of measures to optimize the activitiesof these enterprises, which ultimately will positively affect the strengthening oftheir competitiveness and will contribute to the growth of the national economicsystem.

Unemployment as an indicator of economic security in the employment sector: A regional dimension

2020 ◽  
Vol 16 (4) ◽  
pp. 715-729
Author(s):  
T.N. Savina
Keyword(s):  
Comparative Analysis ◽  
Age Groups ◽  
National Development ◽  
Federal District ◽  
Economic Security ◽  
Employment Policy ◽  
Multivariate Statistical ◽  
Band Theory ◽  
The Republic ◽  
The Impact

Subject. To achieve a high level of economic security is a key priority of national development. Employment reveals one of the most important aspects of social development of the individual that is associated with his or her needs satisfaction in the sphere of employment and is boon to economic security. Objectives. The purpose of the study is to show the impact of unemployment on economic security in employment. Methods. I apply such scientific methods as dialectical, historical and logical unity, structural and functional analysis, traditional techniques of economic analysis and synthesis. The methods of multivariate statistical and comparative analysis serve as a methodological basis of the study. To determine the indicator of unemployment, I use the band theory. Results. I underpin the growing role of employment in ensuring economic security. The paper presents a comprehensive assessment of the unemployment status and a comparative analysis of the indicator in the Republic of Mordovia, the Volga Federal District, and the Russian Federation as a whole. I identify trends in the average duration of unemployment, show the distribution of unemployed by level of education and age groups. Conclusions. The average annual unemployment rate in the Republic of Mordovia is lower than in Russia and the Volga Federal District. The findings may be useful for public authorities to substantiate their employment policy at both macro- and meso-levels, for designing programs and strategies for socio-economic development of regions and the social security doctrine, as well as in practical activities of employment services.

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