scholarly journals VISUALIZATION OF SECOND ORDER CURVES IN GEOGEBRA WHEN TEACHING MATHEMATICS TO STUDENTS OF VOCATIONAL EDUCATION INSTITUTIONS

2021 ◽  
Vol 57 (3) ◽  
pp. 134-146
Author(s):  
D.V. Bochkareva ◽  
Keyword(s):  
Mathematics Education ◽  
Vocational Education ◽  
Cognitive Abilities ◽  
Creative Thinking ◽  
Statistical Processing ◽  
Education Institution ◽  
Second Order ◽  
Educational Process ◽  
Teaching Mathematics ◽  
Mathematical Methods

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.

scholarly journals Pedagogical conditions for implementing value and sense direction of training mathematics at higher school

2020 ◽  
pp. 80-92
Author(s):  
Larisa V. Zhuk
Keyword(s):  
Creative Thinking ◽  
Educational Process ◽  
Teaching Mathematics ◽  
Mathematical Education ◽  
Search Activity ◽  
Mathematical Concepts ◽  
Teaching Aids ◽  
Semantic Orientation ◽  
Cognitive Information ◽  
The University

The article actualizes the issue of updating the content, methods and means of teaching mathematics at the university within the sociocultural paradigm. A significant contradiction characterizing the crisis situation in the field of higher mathematical education is the mismatch between the traditional organization of the educational process and the powerful developing potential of mathematical disciplines. Being overloaded with a lot of information, altogether with its insufficiently developed anthropological, cultural-like and communicative components, mathematical education hinders the mental development of the learner’s personality in relation to such important qualities as search activity, creativity, and creative thinking. The solution to this problem can be the transformation of the cognitive-information model of learning, the introduction of pedagogical technologies that actualize the sociocultural aspect of mathematical education. The aim of the study is to develop methodological foundations for the implementation of the value-semantic orientation of teaching mathematics at the university, expressed in providing a set of pedagogical conditions related to the selection of content, determination of teaching aids and methods, ways of organizing the interaction of students and a teacher, in which students intelligently master mathematical concepts, and freely operate with them. The didactic conditions for the implementation of the value-semantic orientation of teaching mathematics at the university are: the transformation of mathematical content, expressed in learning from sociocultural experience; the psychodidactic approach, focused on building the students’ self-motivation; the use of teaching methods that provide cognitive and emotional empathy (educational mathematical discourse), the activization of productive mental activity (technology of problematic dialogue); inclusion of non-standard, creative tasks, training cases. Providing these conditions will allow to realize the humanitarian potential of mathematics, to reveal the social, practical and personal significance of the subject matter.

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
Keyword(s):  
Educational Process ◽  
Integrative Model ◽  
Integrative Approach ◽  
Teaching Mathematics ◽  
Special Importance ◽  
Contextual Approach ◽  
Proximal Development ◽  
Mathematical Methods ◽  
Computer Technologies ◽  
The Government

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.

scholarly journals Conceptual going near the modelign of process of educating and developing motive flairs for children and teenagers

2013 ◽  
pp. 3-16 ◽  
Author(s):  
О. М. Худолій ◽  
О. В. Іващенко
Keyword(s):  
Statistical Treatment ◽  
Statistical Processing ◽  
Educational Process ◽  
Mathematical Methods ◽  
Physical Exercises ◽  
Loading Methods ◽  
Preparatory Exercises ◽  
Primary Orientation ◽  
Selection Of

Research aim — to ground conception of construction of process of educating and developing motive flairs for children and teenagers on the basis of design of separate components of educational process. For the decision of the put tasks such methods of research : are in-process used design, approach of the systems, methods of theoretical analysis and generalization for the exposure of essence, leading tendencies of optimization of educational process and determination of theoretical pre-conditions and methodological approaches of his further improvement; pedagogical testing, methods of registration of sensomotor reactions, methods of registration of the state of the cardiovascular system, supervisions and pedagogical experiment for determination of model descriptions of children and teenagers, modes of the training loading; methods of mathematical analysis (logistic and asymptotic to the function) for determination of conformities to law of placing of facilities of primary orientation in the period of developing motive flairs, educating to physical exercises and under­cooking to the competitions; mathematical methods of planning of multivariable experiments for the study of conformities to law of developing motive flairs, process of educating and preparation to the competitions. The got experimental material was subject to statistical treatment with the use of application of the statistical processing of data (MS Excel, Statistika 6.0) packages.Research results. It is set that on the basis of models of motive preparedness of children and teenagers the selection of basic, tricking into and preparatory exercises, and also stage control, comes  true after the level of motive preparedness. On the basis of models of the training loading determined: size and orientation of loading; correlation of facilities of physical and  technical preparation; terms of the use of loading of different orientation; terms for development of force and increase of capacity; terms of operative and current control. On the basis of models of process educating is determined: terms for educating by ability to manage motions, educating to physical exercises; order of decision of tasks of educating and selection of educational tasks; fundamental discipling to programming of educational process of children and teenagers; terms of operative and current control.Keywords: design, educating, motive capabilities, children, teenagers.

scholarly journals The Role of Vocational Education in the Development of The Viticulture and Oenology Sector of Georgia

Economics ◽  
2021 ◽  
Vol 104 (6-9) ◽  
pp. 102-115
Author(s):  
Natia Gorgadze Natia Gorgadze
Keyword(s):  
Private Sector ◽  
Vocational Education ◽  
Education Institution ◽  
The State ◽  
Educational Process ◽  
Education Programs ◽  
Cultural Economic ◽  
Wine Production ◽  
Good Opportunity ◽  
Essential Components

Today, the viticulture and oenology sector in Georgia has a fair potential for development. According to the statistical data, the income from the wine production is growing year by year for the country. Maintaining the growing potential of productivity in the viticulture and oenology sector is linked to the stable quality of grape and wine. The skilled workforce represents one of the essential components for ensuring production of high-quality products. Vocational trainings can provide both, the prospective and existing employees of the viticulture and oenology sector with the possibility to develop necessary skills. Moreover, each country has its own unique cultural, economic and social aspects that have to be taken into consideration in the process of assessing and reforming the country's educational potential. Numerous countries rely on the "mixed systems" that combine different types of work-based learning, including school-based vocational education and dual vocational education programs. However, in view of international best practice, dual programs are considered to be the best mode of instruction for vocational programs in the direction of viticulture and oenology. Introduction of work-based learning with the so called dual vocational education programs by the state in recent years, can be considered as a step forward in this direction. Also, the state offers short-term vocational education programs within the framework of close cooperation with the private sector. The viticulture and oenology sector is the first, together with the tourism sector, to be recognized as a priority by the state, therefore the training of students with dual vocational education programs has been piloted. In summary, for a vocational student, dual vocational education programs involve pursuing studies at a vocational education institution, where a student takes a theoretical course on a future profession, as well as a practical course necessary for acquiring practical and technical skills for the profession. This form of teaching provides more opportunities for deepening the public-private partnerships in education. On the one hand, it helps to reduce budgetary expenditures of the state and, on the other hand, allows the system to receive additional financial as well as intangible benefits. The interest of the private sector to participate in the educational process is multifaceted. However, one of the main reasons for the interest is possibility to hire experienced workforce in the future. Increasing the private sector involvement and delegating responsibilities to the private sector by the state represents a good opportunity to train/retrain qualified staff. This factor can be considered as a prerequisite for matching workforce demand and supply on the labor market. Training of highly qualified staff guarantees reduction of unemployment and poverty and ensures sustainable economic development of the country. Keywords: vocational education, dual vocational education programs, work-based learning, viticulture and oenology sector.

Peculiarities of teaching the students of the specialty international relations, low and history professional disciplines

2021 ◽  
Vol 5 (S4) ◽  
pp. 442-453
Author(s):  
Liudmyla Vovchuk ◽  
Alina Iovcheva ◽  
Iryna Habro ◽  
Inna Pohorielova ◽  
Roman Oleksenko
Keyword(s):  
International Relations ◽  
Teaching Methods ◽  
Cognitive Abilities ◽  
Creative Thinking ◽  
Educational Process ◽  
Interactive Methods ◽  
Interactive Teaching ◽  
Professional Disciplines ◽  
Teaching Professional ◽  
Knowledge In Practice

The paper highlights the peculiarities of teaching the students of the specialty International Relations, Law and History professionally oriented disciplines when the attention is paid to the study of professional disciplines. After mastering the core materials of the discipline, the students should know all the components of these disciplines and be able to apply their knowledge in practice. We have confirmed by our research that for the modern student to be able to master all knowledge and skills, modern lecturers at their lectures and seminars should change the teaching methods, tending more to the use of interactive methods, which, compared to the traditional ones, are much more efficient for providing the educational process. Among the modern interactive teaching methods, such methods as Circle of Ideas, Aquarium, Microphone, and Role Play, Imitation deserve special attention, and their use promotes students' cognitive abilities, creative thinking, quick decision making, work in groups, thus stimulating the development of communication skills, and mainly the interest of the student in learning. In the conditions of a pandemic (2020-2021), as the experiment showed, it is also possible for teachers to use interactive methods in teaching professional disciplines for students of the above specialties.

scholarly journals The Experience of Integration and Prospects for the Pedagogical Cluster Development in the System of Secondary Specialized and Higher Education of Students in the Specialty “Preschool Education”

2021 ◽  
Vol 16 (2) ◽  
pp. 150-156
Author(s):  
Dubeshka Natallia G. ◽  
Keyword(s):  
Higher Education ◽  
Vocational Education ◽  
Education System ◽  
Professional Education ◽  
College Graduates ◽  
Preschool Education ◽  
Education Institution ◽  
Time Frame ◽  
Educational Process ◽  
Higher Education Curriculum

The article analyzes the relevance and necessity of providing educational services at two levels of vocational education (secondary specialized and Ist stage of higher education) of pedagogical staff of preschool education institutions in the education system of the Republic of Belarus in the current educational situation: socio-demographic and normative-legal conditionality of vocational education; possibility of creating a pedagogical cluster in institutions of secondary specialized education and institutions of higher education; curriculum integration trends; elimination of duplication in the content and forms of the educational process organization in order to increase the motivation of students’ educational activities who study for the specialty “Preschool education”. A number of factors affect the increase in the motivation of college graduates to continue their professional education at the university: teachers with higher education have broader conditions for the implementation of professional activities in a preschool education institution; training according to integrated curricula in a shorter time frame is provided, and the cost of training is slightly lower; ability to participate in the educational process remotely, etc. The pedagogical cluster ensures not only continuity in the content of education at two levels of the education system, but also enriches the pedagogy of higher education with new forms, methods and technologies of working with students in the context of implementing the principles of cooperation pedagogy. Keywords: preschool education, secondary specialized and higher education, vocational education, pedagogical cluster, integration of curricula and programs, distance learning

scholarly journals METHODOLOGICAL ASPECTS OF TEACHING MATHEMATICS BASED ON THE RESULTS OF MONITORING RESEARCH

Globus ◽  
2021 ◽  
Vol 7 (5(62)) ◽  
pp. 27-30
Author(s):  
Nataliya A. Borodulina
Keyword(s):  
Mathematics Education ◽  
Professional Competence ◽  
Educational Process ◽  
Teaching Mathematics ◽  
Pedagogical Techniques ◽  
Emotional Component ◽  
Methodological Aspects

The article reviews the actual problems of mathematics education. The difficulties encountered by a modern schoolchild when solving tasks of monitoring research in mathematics are indicated. Methodological recommendations are given that should increase the productivity of interaction between a modern teacher and a modern schoolchild, and, accordingly, the quality result of training, through the improvement of pedagogical techniques, an increase in the level of professionalism of teachers, their motivation, initiatives, the creative and emotional component of the educational process, professional competence of the teacher.

scholarly journals Activation of the students’ creative potential who are majoring in Philology in classes on the Modern Ukrainian language

2020 ◽  
Vol 2020 (3 (132)) ◽  
pp. 166-172
Author(s):  
Oksana Kucheriava
Keyword(s):  
Fairy Tales ◽  
Creative Thinking ◽  
Education Institution ◽  
Educational Process ◽  
Academic Disciplines ◽  
Creative Activity ◽  
Complex Sentence ◽  
Creative Potential ◽  
New Ideas ◽  
Key Competencies

Creativity occupies one of the central places in the model of modern higher education institution graduate’s key competencies. The article aims to reveal the content of the problem related to the development of the students’ creative thinking who major in Philology; in particular, the paper deals with a number of tasks, it is going to: 1) characterise creativity as a professional competency; 2) highlight students' views on providing a creative atmosphere in the educational process at the Department of Foreign Languages; 3) offer a number of techniques to activate the creative potential of students in modern Ukrainian language classes. The methods like: theoretical (analysis of pedagogical and psychological literature) and empirical (questionnaires and interviews with students of the Philology Faculty) were used. The Quantitative analysis of the survey’s results conducted among the second and fourth year students majoring in 014 Secondary Education (Ukrainian Language and Literature) at Ushynsky University, showed the urgency of the problem and the need to use constructive approaches to teaching academic disciplines at the Philology Faculty. The author analyses the definitions of the concepts “creativity”, “creative personality” which are primarily distinguished by such features as openness to new ideas, their flexibility and originality, interest in the problem, activity, independence in judgments. Having checked the example of the discipline “Modern Ukrainian language” (the Section “Syntax of a complex sentence), some methods of stimulating students’ creative activity were illustrated: compiling intelligence maps to visualise theoretical material and analysis which present practical tasks; creative or figurative writing based on the use of non-traditional genres (poetic techniques “11 words”, senkan; “five sentences”; fairy tales, essays, sketches, miniatures, associative writing); solving creative problems that require the involvement of different ways of learning (nature, art, linguistic and cultural studies). As a result, the emphasis was put on the importance of providing cognitive motivation and creating appropriate conditions that would encourage students to creative activity and self-expression.

scholarly journals Formation of teachers' readiness for project activity in the context of scientific and methodological work of the Office of international cooperation

2020 ◽  
Vol 8 (2) ◽  
pp. 92-101
Author(s):  
Olena Sergiivna Diagileva ◽  
◽  
Alena Mykhailivna Leshchenko ◽  
Alla Sergiivna Paziak ◽  
Alona Yuriivna Yurzhenko ◽  
...  
Keyword(s):  
Higher Education ◽  
International Cooperation ◽  
Creative Thinking ◽  
Mixed Reality ◽  
Organizational Innovation ◽  
Education Institution ◽  
Educational Process ◽  
Project Work ◽  
Teaching Staff ◽  
Project Activity

The article examines the features of the involvement of academic and teaching staff of the higher education institution into the project activities, identifies and analyzes the main directions of the Office of International Cooperation, which contribute to the formation of teachers' readiness for project work. The concept of "project work" in scientific discourse is considered in the paper. It is actualized that the problem of attracting teachers to international activities is of particular importance nowadays. The methods of involvement into the project activity as a form of innovative methodological technologies, with the aim of forming general and professional competences, are described. Particular attention is paid to the theoretical and methodological basis of the research, which is based on competence-based, organizational-innovation and cooperative-activity approaches. The article used theoretical, empirical and statistical methods. It is noted that the Office of International Cooperation deals with the organization of cooperation of higher education institutions with foreign scientific institutions and associations, but first of all - involvement of teachers into the project activity. The paper describes the information page of the Kherson State Maritime Academy office on the official site and its main sections, informing teachers about the possibilities of project activities with the foreign partners of the academy. Other engagement methods include the use of social networks, LMS MOODLE e-courses and Zimbra Messenger. It is noted that the use of a gamified approach in the educational process actively motivates future employees of sea and river transport to educational and cognitive activities, allows to form skills of creative thinking and promotes the search for various methods of alternatives. The attention is also focused on the effectiveness of the use of simulation technologies (virtual and mixed reality). Conclusions are made concerning the process of organizing a modernized educational environment and the results of an experimental study on determining the level of readiness for project activities of teachers of Kherson State Maritime Academy.

scholarly journals Testing as an Effective Method for Assessing the Quality of Students' Training Achievements

2021 ◽  
Vol 4 (4) ◽  
pp. 27-33
Author(s):  
Larisa Vladimirovna Sokolova ◽  
Alla Vladimirovna Molchanova
Keyword(s):  
Vocational Education ◽  
Professional Education ◽  
Statistical Processing ◽  
Educational Process ◽  
Empirical Methods ◽  
Advantages And Disadvantages ◽  
Test Models ◽  
Entrance Test ◽  
Testing Algorithm

Electronic educational resources including testing, which simplify the process of searching and structuring educational information have been used more often in educational organizations recently. They have made learning more accessible and interesting for students of higher and vocational education institutions, especially in the context of a pandemic. The article provides a brief theoretical justification of the advantages of testing students' academic achievements. The emphasis is placed on the importance of testing as a tool for remote control of students' knowledge, the advantages and disadvantages of using tests both in the educational process of higher and secondary vocational education and in order to control the acquired knowledge are revealed. The study was carried out by the authors on the basis of a comprehensive use of theoretical and empirical methods. The leading theoretical methods were: analysis, generalization, concretization, forecasting, modeling. The work used such empirical methods as conversations, pedagogical observation, questionnaires, expert evaluation, testing, analysis of performance, generalization of pedagogical experience, methods of statistical processing of experimental data. The results presented in the article of the study of testing of students of MPSU at the initial (entrance test), current and final stage of measuring the level of educational achievements of students demonstrated an increase in the values of the effectiveness of testing at all stages of its implementation, an increase in the effectiveness of test control at the intermediate and final stages of the study. The results of the study made it possible to formulate promising directions for the development of problems of testing the quality of education of students of higher and professional education organizations: improving the forms and methods of analysis and interpretation of test results based on the invariant application of test models: improving the psychological and pedagogical orientation of the use of the testing algorithm for personalized learning trajectories in the practice of mass education, etc.

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