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The Heron's problem is an ancient mathematical problem, which has a precise and elegant solution. The paper discusses generalizations of the Heron problem that have a variety of practical applications. Nowadays, it is still unknown if such problems have precise mathematical solutions. Approximate solutions to similar problems written as programs in C++ and MATLAB are presented in this paper.
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The article provides an overview of the main productive innovative technologies in teaching Russian as a foreign language. An author makes an attempt to examine these technologies in the context of modern theory of teaching foreign languages.
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Improving the quality of education is one of the European priorities in the process of a Single European Area. As part of the European education area, our country has put the qualification system for the development of pedagogical staff in a new standardized regime. The research study provides a theoretical overview and justification of the legislative changes in this direction. On the basis of own teaching and training experience, a normative, methodological, thematic and motivational section of the procedural side of the continuing qualification of the teachers is made. The main research core of the study is the integrative methodological complex, researched and verified in training of teachers for continuing qualification. It is considered as a construct of the procedural side of the theoretically reviewed training and is directly related to the thematic and motivational aspect. The training quality of the methodological complex is based on the thematic diversity in which it is constructed, tested and verified. The aim of this study is to search for opportunities to enrich the procedural and methodological aspects of continuing training so as to increase their impact on teachers‘ pedagogical practice.
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In the modern high-tech and rapidly developing world, it is imperative to provide training opportunities for all adults throughout their live – especially for disadvantaged ones. Lifelong learning covers formal, non-formal and informal learning, whether for the purpose of improving one’s basic skills or acquiring new ones, acquiring new qualifications, or raising qualifications - for finding a new job, personal growth or for achieving other goals. This is the reason for creation of systems for adult learning, characterized by flexibility, high quality, high level teaching and full involvement of all relevant institutions.Non-formal and informal learning does not oppose formal, but rather, they complement and conceive, at the same time may exist in symbiosis. The training can be done in a specific context, meaning the specific objectives, with appropriate resources (funding and qualified staff) and conditions. Lifelong learning can be an integral part of the goal for turning the European economy into a competitive and dynamic economy of knowledge.
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The research focuses on South-West University students’ response to the project “Student Practices” from 2013 until 2015. The author aims to evaluate the extend to which this additional practical training in a real professional environment gives students the opportunity to develop and improve their competencies and skills, according to the specifics of their academic major, professional training, and free time. The analysis of the results proves that the project is a successful attempt by the Ministry of Education to provide additional practical training for young specialists.
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The effectively formed professional competence is a guarantee, that the graduating students are prepared for the future professional challenges. A technological model of teaching and learning in a compulsory course in engineering ecology from the Bachelor program “Heat Engineering” of TU-Sofia is presented in the article. The technology has been developed on a broad, integrative theoretical basis and on the basis of an international and national studies which are related to the preparation of future engineers. The outlined components of the model - goal setting, learning content, teaching and learning activities, resources and diagnostics are based on a survey of teachers, employers and students on the ability to create the necessary professional competencies. The obtained results prove that the applied model corresponds to the set training objectives, the strategy and the vision for development of TU-Sofia and the requirements of the business. The introduction of modules related to risk assessment, uncertainty, sustainability and environmental impact assessment significantly broadens the prospects of future engineers at the beginning of their careers. The developed technology provides opportunities for creating and validating the appropriate tools for studying students’ achievements and the degree of formation of their professional competencies.
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The text tells about the activities of Razlog Vocational High School in various projects and initiatives that help to improve the educational activity. Examples of conducted practices and trainings, delivery of interactive equipment and software and class work are examined. The benefits from such type of initiatives is indicated.
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The paper proposes a methodology, which provides, examples and guidelines for a project – based approach in education. It explores the possibilities for using Cloud Computing technology for achieving educative goals. Some popular Cloud platforms are illustrated in this paper.
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The work addresses the issue of project-oriented literature education as a mode of forming, developing and maintaining skills, which implies interactive practices and at the same time - convergence of the pro-learning process towards constructing meaning, active learning - through action.The use of Project - oriented learning in literature classes (grades 8 – 12) has led to the increase of students‘ willingness to study (in particular, to form, develop and maintain practical, cognitive, meta-cognitive and interdisciplinary skills), of their ability to do work of significance, and it has also led to their need to be evaluated and engaged in the process of studying information in a way close to the one adults apply to learn and demonstrate their knowledge.
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The goal of the article is to reveal the extent of RSCI reflection of the Bulgarian publications/references in two aspects: the Bulgarian-language articles and the Bulgarian-language books. The comparative analysis was used in the study. It has been established that the Cyrillic alphabet and the Bulgarian language is not an obstacle to Russian Science Citation Index; it successfully indexes publications/references in Bulgarian. This fact indicates that Russian Science Citation Index is able to give an effective contribution to refine results of Bulgarian academic organizations ranking.
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Adapted physical activity is part of physical activity in the modern world. It is therefore necessary to pay special attention to the physical condition of young people with disabilities and to increase the possibilities for the prevention and correction of already existing anomalies. This can be successfully accomplished through sport and in particular through the means of basketball. The subject of the study is basketball for people with intellectual disabilities. The object of the study are the signs of the specific preparedness of people with disabilities and the impact on them through the means of adapted basketball. The purpose of the experiment is to determine the impact of adapted basketball on people with mental disabilities. The attached experiment shows that one school year is not enough to cause significant positive changes in the level of traits studied in young people with intellectual disabilities.Adapted physical activity is part of physical activity in the modern world. It is therefore necessary to pay special attention to the physical condition of young people with disabilities and to increase the possibilities for the prevention and correction of already existing anomalies. This can be successfully accomplished through sport and in particular through the means of basketball. The subject of the study is basketball for people with intellectual disabilities. The object of the study are the signs of the specific preparedness of people with disabilities and the impact on them through the means of adapted basketball. The purpose of the experiment is to determine the impact of adapted basketball on people with mental disabilities. The attached experiment shows that one school year is not enough to cause significant positive changes in the level of traits studied in young people with intellectual disabilities.
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Our objective is to describe the opportunities for promotion of prosocial behavior as a part of the applied school-based social pedagogy. We discuss the role of social norms, virtual reality in the contemporary context, as well as some fundamentals of the prosocial behavior. On this foundation, we give an example for their integration in the school-based pedagogical work. The project is realized following the framework we suggest for formation of attitudes towards prosocial behavior that can easily be adapted to various environments and groups.
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East, west, north, south are not universal concepts. In a number of cultures and historical periods they are missing or remain unnamed. The words they designate often turn into conceptual metaphors that pierce in everyday speech. Concepts contain language and cultural knowledge, ideas, assessments. Knowing the national culture is a key to understand the right meaning.
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The present article aims at establishing some conclusions and summaries about the education quality in the Faculty of Business Management (FBM) with the University of Forestry (UF). The bachelor students’ opinion is studied for the purpose concerning the level of their preparation in Mathematics and Information technologies (IT) as an element of the system of quality in UF. The summarized replies of the inquiry give a possibility to evaluate student’s skills in applying mathematical methods and IT when mastering the curriculum of the disciplines from the educational plan of the FBM specialties. The results will help the improvement of the education quality in the faculty.
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The article draws attention to the possibilities of project-based biology and constructivism to change the traditional educational environment. There are significant differences between constructivist-based learning and traditional learning. The constructivist approach to teaching and learning in the natural sciences is applied to enable students to make own and meaningful connections between new and prior knowledge.
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Information and communication technologies participate in all aspects of personal and social life nowadays. Thus, they become part of the learning environment. Тhe teachers with their knowledge, skills, attitudes, values and competencies are the main factors for effective application of technologies. The article presents the results of a survey on the attitudes of chemistry and science teachers to use computer technology in the classroom. The conceptual model of the study was developed on the basis of theories linking attitudes with behaviour and technology acceptance. Each element of this conceptual model is studied by a different part of the questionnaire, which contains a total of 35 items. The study was conducted online in 2019, with a link to the Bulgarian language questionnaire provided to 150 teachers and responses from 48 received. Based on the data, a Cronbach’s alpha coefficient of 0.92 was calculated. Descriptive statistics and analysis of the frequencies of respondents’ opinions were made based on the data. The results obtained show that the teachers involved in the survey: (a) perceive the conditions for the application of computer technology in their schools as encouraging and forming positive attitudes; (b) they are convinced of the usefulness of the application of technology in their own business and firmly believe that they improve it, especially with regard to the presentation of information and teaching aids; (c) they are not fully convinced about the benefits of technology in student learning, especially in class, which reduces the positive impact of perceived usefulness of ICT on teachers’ attitudes.
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The abundance of diverse and well-preserved natural features specific heritage and anthropogenic factors make the territory of the Middle Rhodopes attractive for tourism during all seasons of the year. Many of the villages in the region over the past 20 years have established themselves as destinations for rural tourism. The paper summarized the results conducted among residents of the municipalities of Plovdiv, Pazardzhik and Stara Zagora survey on opinions and attitudes towards rural tourism product in the region of the Middle Rhodopes. As was clear from the responses to the survey, residents of large cities are the main users of rural tourism product, their opinion is very important and should be taken into account in the formation of rural tourism product. Most appeal ability factor for consumers (actual and potential), according to respondents’ presence of the original rural setting “precisely the essential content of rural tourism. Necessary, on the one hand, to keep the originality and authenticity of the region and objects, and another to create and convenience for tourists in terms of easy accessibility, infrastructure, quality of service and more. The aim of the article is to examine consumer interest in rural tourism product in the region of the Middle Rhodopes. So they explored the factors that attract users of rural tourism product in the region.
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This study aims to establish the attitudes and readiness to active involvement in the process of inclusive education in the future professional realization of students from the Bachelor’s degree and Master’s degree from various specialties at the Faculty of Pedagogy, Thracian University, Stara Zagora. The main survey method is interviewing. The developed survey explores both the theoretical orientation of the problem and the practical readiness of the students to participate in the process. The purpose of the study is also related to the intention to identify existing deficits and to overcome them by updating curricula and learning practices in the process of student education.
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This paper is in commemoration of the recently passed away prof. Widen Tabakoff (1919 – 2015), USA. Widen Tabakoff was born in 1919 in Stakevtsi, near Belogradchik, Bulgaria. He was a famous airspace engineer and researcher who participated in NASA program “Apolo” for sending people to the Moon.
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