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The paper is a continuation of the paper by the same author in issue 1/2017 of “Mathematics and Informatics” journal, dedicated to transcendental equations and combinations of logarithmic and trigonometric functions which are considered instead of combinations of exponential and trigonometric functions. Approaches for their solutions are proposed.
More...130 години от рождението на Дора Габе
From the comprehensive works of Dora Gabe for children, the study abstracts a poetic paradigm: mischievousness – appeasement – humbleness. This is not an obvious, unconditional analytical approach but is one of the possible approaches which has chosen to focus on the images of the child’s soul. The study aims to defend the thesis that in the poetic mind of Dora Gabe the child has an optimistic view of life and that the child is constructive because he/she knows the pleasure of freedom.
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The article examines the actual norms of the labour and insurance law, regulating forms and educational policies, directed to the increase of the competitiveness of the workers and employees on the labour market. Accent in the exposition is on the national norms, as well as on the European policies related to the synchronization of the intern regulations with the European one. Based on the examination the authors make conclusions and recommendations for improvement of the legislation and adaptive to the new requirements practice of the employers.
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The authors present the results of a survey revealing the specificity of public claims regarding compulsory preschool education in the institution of kindergarten and specifically - the compulsory inclusion of 4-year-olds in it. Agreements and disagreements, polar opinions and alternative proposals for upbringing and educating the preschool child are an indicator of the lack of sustainable and irrefutable "evidence" of the importance of "compulsory" preschool education, as well as of the qualities of the socio-pedagogical environment in the children group and kindergarten. The paper is the second part of the authors' research on issues related to compulsory preschool education for children.
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Measuring heart rate gives us the opportunity to make the best analysis of the behaviour of the cardiac system during physical activity and aids us to decide for the ideal training programs a performer must undergo. The aim for the investigation was to draw observant conclusions which would aid us in choosing the activities in said program, as the results portrayed the body’s response to the different intensities of the physical tests. The pulsometric criteria for the classification of the training overloads among amateur runners and football players were used.
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Today we all live in an extremely dynamic world which provokes a variety of challenges related not only to health but also to education and social isolation. It appears that many young people are motivated and ambitious to shape their own future gaining experience and confidence during the school years. Many of their ideas have a creative and rational potential which triggers socially useful initiatives and projects on regional, national or international level. Participation in eco projects, volunteering and supporting social causes combines studying and practical activities and, thus, raises the quality of education and breaks its traditional character. And when innovation is also included, the result is predetermined and winning. Using an integrated system for ecological management, “Peyo Yavorov” Secondary School has encouraged students, teachers and parents to participate in eco initiatives for more than 20 years. This enriches their knowledge and improves the environment. Focusing on the ecological education ensures better understanding of the environmental problems with their local and global impact. Different approaches are used for developing key competences which creates later an active, healthy and environmental-friendly behavior. Activities in the eco field have proved to be effective as means of raising sensitivity and responsibility aiming at the change of one’s attitude – towards themselves, the others and the environment.
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In modern school, when learning a foreign language, an approach which is used more and more often is students work in small groups. If we estimate the efforts which students put in working in a group in order to achieve a common result, then all the students’ motivation is considerably higher. Working in small groups during Russian language classes creates a very good opportunity for communication, enables the development of students’ speaking ability which is very important in learning foreign language. Working in small groups develops students’ communication skills, creates their personal qualities, helps them realize their social role in society. The teacher’s role changes, too. The teacher only directs the work, partly helps, corrects and supports the creative searching.
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A person forms as a personality in the process of his/her social life: during one’s school life, work, communication with people. During studying, training and especially during Physical Education and Sports classes, students undergo a big physical and emotional stress: quickly changing conditions, the ability to obey common rules and requirements, respect towards others contribute to the development of such personal features as strong will, self-control, self-confidence, endurance, discipline.
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The text describes the essence of tourism. The statistical researches for the development of tourism and its digitalization are considered. The characteristics of the old and the new tourist are analyzed and compared. Statistical data related to the number of tourists who visited Bulgaria for the period from January 2019 to July 2021 are presented. Visits to Bulgaria as a tourist destination are considered in comparison with the visits of tourists from other countries. The number of Bulgarian tourists visiting other countries is also reported.
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In this article we will look at what innovative methods can be used in view of e-learning. In the last two and a half years, education changeд completely, both in Bulgaria and in the world. This is because of the global pandemic that humanity is struggling with. All teachers, students and people in the educational environment have fundamentally changed the way they work. The main goal is to receive quality education.
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The article has a cultural-historical character, aiming to briefly present the biography and the first steps in art of an unfamous Bulgarian artist - Peter Dachev, as 2021 marks 125 years since his birth. What is taken into consideration are the reviews for his debut solo exhibition in Sofia in 1924, which impressed the art critics of the time with its originality and modernity. Special emphasis is placed on the artist’s presence on the pages of Plamak Magazine – an issue not previously taken into account. Based on archival information, it became known and commented that Peter Dachev made an attempt at fiction writing in Geo Milev’s edition, where the artist wrote under a pen name. The study is richly illustrated, with some of the images being published for the first time.
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A hydrophobic composition containing water repellents and highly volatile solvents is shown in this tudy to isolate water from the bottom hole formation zone of gas wells and reduce as much as possible the saturation of pore spaces with water. During injection, this composition shows selectivity and mostly penetrates water-saturated porous media. The study shows that the injection of such composition into porous media has a high water-insulating effect, reducing the water permeability of water-saturated porous media by 35 times with a degree of water isolation of 97%. Moreover, while injecting, it has selective action, mainly penetrating water-saturated media rather than gas-saturated media. As a result of injecting 0.91 to 0.99 pore volumes (pv) of the composition, the Qwater/Qgas ratio reaches 5.22 to 5.26, indicating high selectivity.
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Semi-empirical quantum chemical calculation was made to study the nucleophilicity of the ligand and to study the mode of bonding between the ligand and the metal ions. The natural atomic charge at different atomic sites of the ligand has been calculated along with the electrostatic potential map to predict the reactive sites for electrophilic and nucleophilic attack. The theoretical spectral data such as IR, NMR and electronic have been calculated and compared with the experimentally generated data.
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Balloons may be a thing children love playing with, but they also have different interesting physical properties such as the sound that is produced when something is put inside a balloon. The phenomenon of interest of this article is the one of gently rolling a coin in a balloon and exploration of the sound produced by this movement. It turns out that when a coin with edges is put in a balloon and is being rolled a buzzing sound is produced which varies in frequencies depending on the count of edges of the coin. This can be observed in non-laboratory conditions. Not many experiments have been conducted to explore this phenomenon.
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Musical improvisation is as much a form of art as it is a form of education with great potential for transfer. Although associated usually with jazz music, improvisation has a long and unbroken history that can be traced throughout the entire music history. The classically-trained students do not receive education in improvisation, it is not part of the classical music curriculum, the educators themselves do not have such training and are not comfortable improvising and therefore teaching it. However, students can greatly benefit from this type of training by greatly enhancing their technique and performing skills and also by developing a set of other important skills such as creativity, calculated risk-taking, flexibility of mind, capacity to notice opportunities, greater awareness of their environment, intra- and interpersonal skills, enhanced communication abilities and more. One solution that would address teachers’ lack of improvisational skills and students’ need for such educational opportunity is for educators to learn basic visual programming in order to create applications for improvisation that involve live electronics and deploy them in classroom or other educational situations.
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The COVID-19 pandemic changed our way of life, affected many industries, and had a major impact on education. The paper presents observations and analyses of the challenges raised by the short adaptation time of the learning process and the caused technical, academic, and communication difficulties. An overview of the distinctive features of e-learning during crises, with special attention to communication, feedback and pedagogical approaches in an electronic environment, has been made. Empirical research of the opinion of students and teachers about online learning was conducted. The used research methods are survey and direct observation. Special attention is paid to the results of the survey, which are presented and discussed in detail.
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The paper is dedicated to the development of the informal linguistic tournaments of the Knowledge Workshop and their role in the preparation of students in linguistics. Problems from some tournaments and their solutions are presented.
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As a subject focused on teaching grammar forms needed for academic studies and genres of academic writing, Academic English may seem tedious at times. Sometimes it is a complex subject for students who are fresh to academia and it needs a peculiar didactic approach to provide a smooth transition of students from general to academic English writing at a university level. One of these approaches may be using humour during classes. The current research explores teacher-initiated humour in Academic English classes at Westminster International University in Tashkent and its effects on students. Besides, it seeks answers to questions as to what types of humour teachers employ during the class mostly, how often they use humour, as well as students’ and teachers’ recommendations given on how to use humour in class. This study uses both qualitative and quantitative data extraction methods in the form of an online questionnaire with students and a semi-structured interview with teachers. Obtained results show that affective and social roles of humour, its quality of lessening anxiety, creates favourable conditions for students and teacher’s connectedness, which outweighs other humour’s roles. Besides, mnemonic and engaging roles of humour received a solid support in the respondents. To obtain a more positive effect, it is recommended that teachers, when incorporating humour in class, apply a systematic approach. Humour should be planned beforehand and needs to be appropriate. Moreover, it should be used with moderation.
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In this article are analyzed the new syllabuses in Bulgarian for XI and XII grade as a point of reference for generalizing the signs of Bulgarian language training at the relevant classes in the second high school stage of Bulgarian secondary school. Bulgarian language training at the relevant classes in the second high school stage of Bulgarian secondary school. Bulgarian language training in XI and XII grade is given an interpretation to a system with tree basic kinds of features: result-oriented, informative and technological.
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