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Mултимедийната презентация на литературен урок като способ за мотивация и развитие на ученика

Author(s): Zapryan Kozludzhov / Language(s): Bulgarian Issue: 8/2016

The work analyses three interrelated notions through the prism of literature education – innovative educational technologies, personal development and creativity. Their role and significance is highlighted as an important complex determiner of modern educational process. The potential of educational ICT are visualized through multimedia development of a single lesson from the curriculum for general education secondary school, grade XI. It is asserted that ICT, through appropriate extrapolation, are transformed into innovative educational technologies, which turn students into active actors of the educational process. Education itself attains its goals in a new way and updates its own disciplinary and cognitive value.

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Математически проекти в динамични среди

Author(s): Angel Gushev / Language(s): Bulgarian Issue: 2/2018

The purpose of this article is to show that there are no age limits for the use of dynamic mathematical software. There are no limitations on how to use it and the depth of the results. The only limitation lies in the capabilities and imagination of those who use it.

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Практикоприложни задачи в обучението по математика

Author(s): Rumyana Nestorova / Language(s): Bulgarian Issue: 2/2018

Exemplary applications are considered in the paper in connection with the mathematical curriculum of high school mathematics education. The proposed problems are in the format of PISA and form skills for modeling different situations.

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Решаване на линейни уравнения с Excel

Author(s): Plamen Penev / Language(s): Bulgarian Issue: 2/2018

A model is proposed in the paper to solve linear equations with the help of Excel. The solutions of the equations are found on the base of coefficients from the trend line. Work with ordinary fractions is introduced by not complicated automations. A practical experience of the model application is shared.

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Two Interesting Inequalities for Acute Triangles

Author(s): Šefket Arslanagić,Amar Bašić / Language(s): English Issue: 2/2018

The paper considers the proofs of two interesting geometric inequalities for acute triangles.

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Computer Discovered Mathematics: an Alternative Construction of Malfatti Squares

Author(s): Sava Grozdev,Hiroshi Okumura,Deko Dekov / Language(s): Bulgarian Issue: 2/2018

In comparison with (Grozdev, Okumura. & Dekov, 2018) an alternative construction of Malfatti squares is presented.

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Две трансформации в равнината на четириъгълник и тяхното приложение

Author(s): Dimitar Oparlakov / Language(s): Bulgarian Issue: 2/2018

The paper is an elaboration of a high school student under the supervision of Assist. Prof. Stanislav Stefanov. It was awarded first prize in the National round of the International Competition “Methodology and information technologies in Education in February, 2018. Some basic results from the geometry of the quadrilateral are systemized and presented in connection with two new transformations in the plane of a quadrilateral that have important applications in the geometry of the quadrilateral. The main of the applications are generalizations of the theorems of Miquel, Gauss and Gauss-Bedenmiller for the complete quadrilateral and the accompanying assertions. The transformations in question serve also in proving geometric relations among the newly found notable points in the plane of a quadrilateral and in deducing properties of some of them and properties of others that are images of the first ones after being transformed. None the less, that they have heterogeneous definitions, the two transformations are connected narrowly. One of them turns to be a diffusion of the other from a determined set of points in the plane of a given quadrilateral to the whole plane.

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Някои типове задачи със симетрични числа

Author(s): Rosen Nikolaev,Tanka Milkova,Radan Miryanov / Language(s): Bulgarian Issue: 2/2018

The so called “symmetric” numbers are considered in the paper and the authors study some of their various properties. Several interesting questions and problems for numbers of that kind are formulated and some concrete examples are solved. Corresponding generalizations of them are proposed. The investigation could be a base for creating many other problems, which could be used in mathematical Olympiads and competitions, as well as for the preparation for them.

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Изучаване теоремите на Менелай и Чева и някои техни приложения с помощта на динамична обучаваща среда

Author(s): Angel Gushev / Language(s): Bulgarian Issue: 3/2018

An educational research was carried out in the High School of Mathematics and Natural Science of Veliko Turnovo. Scope of this research was the study of the theorems of Menelaus and Ceva and some of their applications in second level mathematics classes of ninth grade. This article describes the steps of this pedagogical research. The results of the students before and after teaching in the traditional way and teaching using a web-based dynamic learning environment are investigated and compared. Conclusions about the place and the role of the dynamic mathematical software in the mathematics education are given.

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За приложението на мисловните карти в обучението по литература в горния курс на средното образование

Author(s): Eleonora Ivanova-Velikova / Language(s): Bulgarian Issue: 3/2018

The report examines a problem that is poorly understood and least used in the teaching of Bulgarian language and literature. The method of cognitive maps is introduced by Tony Byuzan and used in other countries. In our country it is not so widely practiced. Its use in the teaching of literature in upper allows students to learn more easily curricula, to develop their creative skills to provide primary and secondary associations, to have fun. Mind maps help the development of learning skills and a good helper and activator of memory. They develop visual memory and activate the both cerebral hemispheres. They present information using hierarchical associations between words, phrases, colors, space. They are suitable for learning verse and prose text, in the presentation of a literary movement, in the comparative analysis, in the interpretation of certain artistic idea. They complement and illustrate the passport of the literary work. Mind maps facilitate both teaching and learning, help for the synthesis of large amounts of information on a theme or an idea. Group cards could be used as well – they unite in themselves associations of many players, generate new ideas, make literature interesting course, allow for creativity. They create a positive attitude towards learning and intellectual labor, presented an unusual approach to the literary text. In this report the application model of mind maps was made by students in class. Associative approach in teaching literature is sufficiently reliable and necessary for the development of associative thinking young people.

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Изследвания, свързани с Константата на Капрекар

Author(s): Petko Kazandzhiev,Martin Ivanov,Tsetsa Baycheva,Kinka Kirilova-Lupanova / Language(s): Bulgarian Issue: 3/2018

This study expands on observations related to the Kaprekar’s constant. In the research, the way how constants for 2, 3 and 4-digit numbers are found is explained. Constants for 5, 6, 7, 8 and 9-digit numbers are sought. These observations have led to some interesting conclusions. All the results presented are made using a computer program written in Java.

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приложение на софтуера „джъмпидо“ в обучението по математика в началните класове

Author(s): Tanya Valkova,Elena Kovacheva / Language(s): Bulgarian Issue: 4/2016

This article presents Bulgarian educational software Jumpido and there are offered concrete methodical ideas for using instruments of this software in lessons and other forms mathematic’s education in the primary grades.

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Информационните технологии в началните класове – състояние и перспективи

Author(s): Daniela Tuparova,Maya Kaseva / Language(s): Bulgarian Issue: 3/2016

The aim of this study is to perform the state of the art in ICT education and application of ICT in the educational process in primary school in Bulgaria and abroad. The possibilities for development of education in ICT with respect to requirements of information society and world trends in usage of computing in education. The following topics are discussed: ICt and pedagogical theories; Application of ICt in primary school in Bulgaria and abroad; Problems in process of implementation of ICT in primary school. Also the paper considers the place of computational and algorithmic thinking in primary school curricula.

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Дисертации 2018

Author(s): Nikola Kazanski / Language(s): Bulgarian Issue: 36/2018

Defended PhD theses in Bulgaria in the field of linguistics, literature, history, folklore, ethnography and art studies

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Научни форуми 2018

Author(s): Nikola Kazanski / Language(s): Bulgarian Issue: 36/2018

Data about scientific events in the field of the humanities in Bulgaria in 2018.

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Разработки электронных учебных пособий для дисстанционного обучения как ресурс повышения качества образования

Author(s): Gulraikhan Zhanteyeva / Language(s): Russian Issue: 2/2016

In article questions ιntroduction of information technologies in various areas of a modern republican education system accepts more and more global character. To date, information technology to a greater or lesser extent, used in educational and organizational - pedagogical activity of all republican universities. Application of computer technology in the educational process provides opportunity to bring education to the market conditions that require rapid acquisition, processing and use information to make better decisions demanded by the labor market.

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Сравнителен анализ на теоретико-приложни модели за дизайн на университетски курс за електронно обучение

Author(s): Kamelia Yotovska / Language(s): Bulgarian Issue: 1/2016

The article presents the results of theoretical analysis of the problem of designing a university e-learning course. It outlines the main features and stages of each model as well as the basic building unit that defines the model. Their educational opportunities are analyzed with regard to putting their strengths in different educational contexts. Summaries of the analysis are presented in the form of conclusions and generalized prescriptions for e-training course design in higher education.

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Инцентър на четириъгълник

Author(s): Stanislav Stefanov / Language(s): Bulgarian Issue: 4/2018

Some of the basic hypotheses about the prime numbers are considered, which determine their important properties for Mathematics.The paper describes some properties of a notable point in a convex quadrilateral, which naturally generalize the incenter of the outscribed quadrilateral. What are considered are the connections of this point with a transformation in the plane of the quadrilateral and the connections with another notable point.

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Множества от точки, породени от двойки равнобедрени триъгълници със специално разположение на основите

Author(s): Sava Grozdev,Veselin Nenkov / Language(s): Bulgarian Issue: 4/2018

The paper is dedicated to some generalizations of the problem: B is a point on the segment AC, while X and Y are points in one and the same half-plane with respect to the side AC of the triangle ABC. When the triangles and are equilateral, prove or disprove the equality.

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The necessity of using humour in the teaching activity

Author(s): Marius Costel ESI / Language(s): English Issue: 8/2017

The importance given to the pragmatic and functional nature of humor in the educational system expresses the existence and assumption of specific teaching strategies of the school organization. The idea we want to analyze is to see to what extent the use of humor in didactic activity becomes relevant and, at the same time, to analyze the (direct/indirect) relationship between it and the social and educational reality. Thus, we are interested in capturing the main ideas that refer to such an approach to humor in relation to the idea of education and, implicitly, to the didactic activity.

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