scholarly journals Integrative Teaching of Mathematics as a Means of a Forming Modern Economist

2020 ◽  
Vol 9 (26) ◽  
pp. 486-497
Author(s):  
Larisa P. Konnova ◽  
Alexander A. Rylov ◽  
Irina K. Stepanyan

Introduction: A modern specialist in practically any field should not only possess professional expertise but also have a good command of modern computer technologies and main mathematical methods of data modeling and processing. It is employers’ requirements and, at the same time, students’ demands to receive this exact type of education. The study examines various ideas of educator-researchers striving to change the educational process to match the new goals. Meanwhile, the authors place the main emphasis on teaching mathematics. Drawing on the experience of teaching at the Financial University under the Government of the Russian Federation, the authors propose an integrative model of teaching mathematics that utilizes the contextual approach and content-based teaching. Materials and Methods: The main methods of the study are the analysis of scientific works and pedagogical modeling based on the following methodological approaches: competency-based, integrative, activity-based, as well as the concept of the zone of proximal development. The authors place special importance on the contextual approach and content-based teaching. Results: The analysis of works confirms the significance and relevance of interdisciplinary courses. The necessary modernization of the educational process and its contents is based on the integrative approach. The contextual approach is increasingly used in higher education to reinforce professional orientation. As for content-based education, it is currently used only in foreign language teaching. Within this study, the authors propose an integrative model of teaching mathematics at economics universities. To enforce the focus on the application in basic student training, the contextual approach is utilized which allows giving professional substance to the content of an educational course. The second part of the model is content-based teaching. The authors enhance its potential uses and believe that studying interconnected subjects together allows one to show common patterns and makes the educational process more efficient, intensive and mindful. Discussion and Conclusions: The relevance of having command of mathematical methods and computer technologies for multidisciplinary specialists makes it possible to generalize the creative model by adding various professional contexts.

Author(s):  
D.V. Bochkareva ◽  

Problem statement. This article is devoted to such a topical issue as the use of the dynamic mathematics system (DMS) GeoGebra in teaching mathematics. DMSs are gradually being introduced into mathematics education, but the question is raised about the effectiveness of their application. The purpose of the article is to study the influence of GeoGebra on the quality of the solving of tasks on the topic «Second order curves» by 2nd year students studying in the specialty “Applied Informatics (by branches)” at NovosibirskProfessional and Pedagogical Vocational Education Institution. The research methodology consisted in the analysis and synthesis of scientific literature on the chosen topic, pedagogical experiment, mathematical methods of processing the results of this experiment and observation of the participants in the pedagogical process.The obtained results of the research indicate that the use of the GeoGebra program has a positive effect on the academic performance of students. Statistical processing of the obtained data shows that there are no differences in the selected criteria between the group that worked in the GeoGebra and the group that worked without computer programs. However, the use of DMSmakes it possible to visually demonstrate the material, draw the attention of students to the academic discipline, promotes the development of creative thinking, and allows students to experiment with mathematical objects on their own. Conclusion. Due to the widespread use of dynamic systems in mathematics education, the study of their influence on the development of various cognitive abilities and personal qualities of students is of practical and scientific interest. The materials of the work can be used in the educational process when teaching and learning the course EN.01 Mathematics at the level of secondary vocational education and distributed to various topics and sections of mathematical disciplines at other levels of education.


Author(s):  
Lyudmyla NOVYTSKA

At the current stage of social and economic development of Ukraine, the processes of globalization, integration and informatization of society raise qualitatively new challenges in the field of higher education. Ukraine has recently been focusing on European countries, which consider the tourism sector as a priority area for their economic development. This area of ​​investment is very attractive, creates new jobs and is characterized by a high level of efficiency. Therefore, the socio-economic success of the country as a whole depends on the professional training of future tourists. The basis for the development of specialist-tourist skills is mathematical disciplines, including the discipline "Higher and Applied Mathematics". There is an intensive process of mathematization of knowledge, involving mathematical apparatus in the study of natural sciences, humanities, economics and social sciences, which in turn forms a certain level of mathematical culture of students of universities. The purpose of teaching the course "Higher and Applied Mathematics" is to provide students with basic knowledge of mathematics, which enable them to further master the professional disciplines based on mathematical concepts. In this case, considerable attention should be paid to the formation of practical skills, the ability to apply mathematical methods when solving the tasks of professional activity. One of the tools for improving the quality of mathematical education for students-tourists is to update the content of courses that are read in the context of the future profession and modern socio-economic order. When considering a particular material, the idea of ​​its connection with the future profession should be put on the foreground. In this regard, the course "Higher and Applied Mathematics" for students-tourists VNAU contains several critical sections covering all the main areas of application of mathematical methods in the tourism sector. Teaching is carried out in accordance with the typical curriculum for higher education institutions in the discipline "Higher and Applied Mathematics" for the specialty "Tourism", developed by the teachers of the Department of Mathematics, Physics and Computer Technologies, VNU taking into account the principle of professional orientation. Given the fact that for students the most important is the practical aspect of mathematics, the purpose of the course is to familiarize with the basic concepts and methods of studying modern mathematics necessary for further study of professional disciplines, as well as the formation of skills for the correct mathematical formulation of applied problems and the construction of simple mathematical models. The solution of many applications is due to cumbersome mathematical calculations, the need to visually present the results of calculations, check them, so it is advisable to use computer mathematical systems, in particular, Maccats, in practical classes in mathematics. Teachers of the Department of Mathematics of Physics and Computer Technologies are the ones who prefer it. To work with Mathcad, there are basic elementary skills in working with Windows applications, so you need to implement this environment from the first lessons when studying topics such as Linear Algebra, Differential and Integral Computing, Elements of Probability Theory and Mathematical Statistics. The use of information and communication technologies (ICT) in the educational process greatly enhances the opportunities of both the teacher and the student's cognitive abilities. ICTs allow to visualize and dynamize the process of studying the discipline "Higher and Applied Mathematics", to personalize and direct the educational process for the comprehensive development of personality, to substantially increase the volume, sources of receipt and the nature of the information necessary for a person, the means of its processing. They can have a significant impact on the methodology of holding higher and applied mathematics classes, requiring the teacher to use electronic textbooks, lecture notes, practical work, the testing system for assessing student knowledge, and global sources of information. They also facilitate the organization of effective independent work in non-attendance time for students. It should be noted that to date there are quite a few tutorials, collections of tasks that contain applied tasks that can be considered at lectures and practical classes on higher and applied mathematics. Work on the creation of such methodological materials is conducted, in particular, at the Department of Mathematics, Physics and Computer Technologies. Thus, changing requirements for a specialist in the field of tourism, which is conditioned by modernity, requires a permanent rearrangement of the structural elements of its preparation. Fundamental disciplines to a large extent are applied, and therefore a qualitative assimilation of basic and basic concepts of mathematical disciplines will contribute to the competitiveness and qualitative training of the future specialist.


2020 ◽  
Vol 7 (6) ◽  
pp. 29-35
Author(s):  
Larisa Konnova ◽  
A. Rylov ◽  
I. Stepanyan

Introduction: A competent specialist for the digital economy must have applied mathematical methods and computer technology, as well as professional skills The paper proposes an integrative model of learning mathematics at the Computer Workshop for students-economists in the Bachelor. The authors for the fi rst time use two technologies within one model: contextual and content, and expand opportunities of content training, applying it in an unconventional form. Materials and methods: The main research method is pedagogical modeling based on the following methodological approaches: competence, integrative, activity, context, content and the concept of the zone of immediate development. Results: The proposed model corresponds to the strategic goal of the Financial University under the Government of the Russian Federation on the early profiling of education. A contextual approach is used to strengthen the applied orientation of basic training of students: the content of the academic discipline is fi lled with a professional context (subject-technological and social). The second component of the model is the content approach. A joint study of interrelated disciplines allows us to demonstrate general patterns and most effectively distribute the classroom load, and the learning process becomes more motivated, informed and active. The model is implemented at a Computer Workshop with the aim of mathematical preparation of students, the formation of professional skills in the use of computer technology in Economics and Finance. Mathematics is used as the content of the model, the applied orientation of learning is enhanced by the economic context, and computer technologies act as means of implementation. Student survey shows the eff ectiveness of this model. Discussion and Conclusions: The relevance of owning mathematical methods and computer technology for specialists of the broadest profi le allows us to generalize the constructed model, fi lling it with various professional contexts.


2019 ◽  
Vol 54 ◽  
pp. 209-218
Author(s):  
Lev E. Shaposhnikov

The paper analyses the evolution of Yu. Samarin’s ideas from rationalism to “holistic knowledge”. Special attention is paid to the philosopher’s conceptualization of the key role of religion for a nation. The author also examines the scholar’s position concerning the promotion of patriotism as an important impetus for social development. Emphasis is made on analyzing the interaction of universal and national aspects in the educational process, as well as on the value of national identity in the field of humanities. The article also presents Yu. Samarin’s critical evaluation of the government educational policy and his suggestions on increasing its effectiveness. The author notes the relevance of Yu. Samarin’s views for the contemporary philosophical and educational context.


2020 ◽  
Vol 1 (10(79)) ◽  
pp. 12-18
Author(s):  
G. Bubyreva

The existing legislation determines the education as "an integral and focused process of teaching and upbringing, which represents a socially important value and shall be implemented so as to meet the interests of the individual, the family, the society and the state". However, even in this part, the meaning of the notion ‘socially significant benefit is not specified and allows for a wide range of interpretation [2]. Yet the more inconcrete is the answer to the question – "who and how should determine the interests of the individual, the family and even the state?" The national doctrine of education in the Russian Federation, which determined the goals of teaching and upbringing, the ways to attain them by means of the state policy regulating the field of education, the target achievements of the development of the educational system for the period up to 2025, approved by the Decree of the Government of the Russian Federation of October 4, 2000 #751, was abrogated by the Decree of the Government of the Russian Federation of March 29, 2014 #245 [7]. The new doctrine has not been developed so far. The RAE Academician A.B. Khutorsky believes that the absence of the national doctrine of education presents a threat to national security and a violation of the right of citizens to quality education. Accordingly, the teacher has to solve the problem of achieving the harmony of interests of the individual, the family, the society and the government on their own, which, however, judging by the officially published results, is the task that exceeds the abilities of the participants of the educational process.  The particular concern about the results of the patriotic upbringing served as a basis for the legislative initiative of the RF President V. V. Putin, who introduced the project of an amendment to the Law of RF "About Education of the Russian Federation" to the State Duma in 2020, regarding the quality of patriotic upbringing [3]. Patriotism, considered by the President of RF V. V. Putin as the only possible idea to unite the nation is "THE FEELING OF LOVE OF THE MOTHERLAND" and the readiness for every sacrifice and heroic deed for the sake of the interests of your Motherland. However, the practicing educators experience shortfalls in efficient methodologies of patriotic upbringing, which should let them bring up citizens, loving their Motherland more than themselves. The article is dedicated to solution to this problem based on the Value-sense paradigm of upbringing educational dynasty of the Kurbatovs [15].


2020 ◽  
pp. 48-55
Author(s):  
TING ZHU

The educatonal program development process is challenging with many stakeholders: students, teachers, parents, administrators, employers, and the government. Each stakeholder has compettve priorites; Quality, risk, resources and costs limitaton. Large complex projects require the management of a skilled and experienced project manager. It is the preparaton of curricula for joint internatonal educatonal programs with the use of Agile tools and technologies. The main "customer" in this program is a student, and the ultmate goal of each project within the program-the competence of the student in the labor market afer receiving the diploma. Therefore, this program can be considered difcult, and it is constantly evolves, because the demands of the labor market of China is constantly changing and developing.


2021 ◽  
pp. 65-71
Author(s):  
A.N. Semakin ◽  
◽  
G.P. Emgusheva

Presented is enlarged didactic units developed by P.M. Erdniev for teaching mathematics, that improves the ability of students to understand educational material. This effect is achieved as a result of organizing the educational process according to the principles of complementarity of teaching methods and the spatial and temporal combination of interrelated elements of knowledge. Among the basic mathematical disciplines taught at Bauman Moscow State Technical University for students with disabilities the most difficult discipline is Linear Algebra, which is due to its content and various problems with students’ health. Linear Algebra is largely based on the theory from Analytical Geometry that is quite well perceived by students with disabilities. A comparative analysis of these disciplines shows that the enlarged didactic units linking these disciplines together can significantly simplify the study of Linear Algebra. However, due to difficulties with scheduling the time gap between these disciplines can be up to two semesters, which makes it impossible to directly use the enlarged didactic units. To solve this problem, we introduce the supporting discipline "Cognitive technologies for supporting the discipline Linear Algebra" which runs in parallel with Linear Algebra and which is based on the material of Analytical Geometry. Forming its content in close connection with Linear Algebra in accordance with the main principles of the enlarged didactic units, we smoothly lead students to the understanding of abstract concepts of Linear Algebra, reducing the complexity of learning.


2020 ◽  
Vol 1 (3) ◽  
pp. 6-12
Author(s):  
A. G. Dylkov ◽  

Computer and related technologies, in particular the Internet, are an integral part of our life. In connection with the requirements of the Federal State Educational Standards to educational organizations, high school teachers need to own competencies related to the use of information and computer technologies (ICT) in their professional activity, and in case of music universities — music and computer technologies. ICT not only simplifies and accelerates many forms of the teachers’ work, but also allows to find new ways of working in the educational process. In particular, interaction with students thanks to ICT becomes real-time even in case of distance learning. In this regard, Internet technologies, particularly cloud services — web sites providing various technical capabilities to users without installing any software — are becoming increasingly important for teachers. A significant feature of such tools is their accessibility from any device and from anywhere with Internet access, so the necessary materials are always available to the teacher and, if needed, to other educational process participants. This article considers some cloud services, which can become effective tools in the professional activities of a high school teacher on group disciplines.


2017 ◽  
Vol 4 (2) ◽  
pp. 149-167 ◽  
Author(s):  
Ali Askerov

With the advancement of power in 2002, the Justice and Development Party (AKP) has introduced revolutionary policies in Turkey in various realms, including foreign affairs. The new trend in the foreign policy focused on not having problems with neighbors. This could be possible or nearly possible theoretically but eliminating century-long and deep-rooted conflicts with some of the neighbors would not be easy in practice. The new idealistic/moralistic approach necessitated new ways of policy formulation based on mutual gains and unthinkable concessions on the part of Turkey. Ankara’s new approach had given a special importance to building bridges of trust with the neighbors, which also seemed attractive to the political leaders of the neighboring states. This idealistic/moralistic approach was vulnerable to the dynamic political and economic developments in the region and the world in general. The policy did not have a power of sustainability due to the various old, new, and emerging problems around Turkey and hence, the government had to give it up gradually and take a new course of foreign policy based on realistic approaches to defend its national interests.


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