EDUCATIONAL MATTERS / НАУЧНО-МЕТОДИЧЕСКИ СТАТИИ
Базите данни като средство за по-качествено обучение по информационни технологии
[Databases as Means for More Qualitative Training in Information Technologies]
/ Веселин Дзивев / Vesselin Dzivev
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Еxcel в помощ при решаване на някои показателни уравнения
[Using Еxcel for Solving Some Exponential Equations]
/ Диана Стефанова, Пламен Пенев / Diana Stefanova, Plamen Penev
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An Improvement of the Gerretsen’s Inequality for Non-obtuse Triangles
/ Šefket Arslanagić
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EDUCATIONAL TECHNOLOGIES / ОБРАЗОВАТЕЛНИ ТЕХНОЛОГИИ
Three Inequalities for the Altitudes of a Triangle
/ Šefket Arslanagić
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Computer Discovered Mathematics: Orthology Centers of the Euler Triangles
/ Sava Grozdev, Deko Dekov
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Forecasting of Time-Series for Financial Markets
/ Reinhard Magenreuter
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Neural Networks
/ Reinhard Magenreuter
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Академичната лекция – традиционна форма на обучение във вуз с възможности за иновационно развитие на познавателния потенциал
[The Academic Lecture – a Traditional Form of Instruction in Higher Education with Possibilities for Innovative Development of Learning Potential]
/ Елена Радованова / Elena Radovanova
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CONTEST PROBLEMS / КОНКУРСНИ ЗАДАЧИ
Конкурсни задачи на броя
[Contest Problems of this Issue]
Решения на задачите от брой 6, 2015
[Solutions of the Contest Problems from Issue 6, 2015]
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READ IN THE LATEST ISSUES OF „AZBUKI“ JOURNALS
/ В НОВИТЕ БРОЕВЕ НА СПИСАНИЯТА НА ИЗДАТЕЛСТВО „АЗБУКИ“ ЧЕТЕТЕ
GUIDE FOR AUTHORS / УКАЗАНИЯ ЗА АВТОРИТЕ
БАЗИТЕ ДАННИ КАТО СРЕДСТВО ЗА ПО-КАЧЕСТВЕНО ОБУЧЕНИЕ ПО ИНФОРМАЦИОННИ ТЕХНОЛОГИИ
Веселин Дзивев
Софийски университет „Св. Климент Охридски“
Резюме. В статията се описват нови възможности за обучението по „Информационни технологии“ с преобладаващо изучаване на бази от данни. При прилагането на този вид обучение се акцентира върху осмислянето на данните, тяхното преобразуване в информация и знания. Описани са особеностите в методиката при прилагането на този подход в обучението.
Keywords: computer systems and technologies, databases, secondary education, methodology of teaching, electronic education
DATABASES AS MEANS FOR MORE QUALITATIVE TRAINING IN INFORMATION TECHNOLOGIES
Abstract. The article describes new opportunities for training in “Information Technologies” predominantly studying databases. In applying this type of training it focuses on understanding the data, the transformation into information and knowledge. The peculiarities of the methodology are described in applying this approach to training.
Mr. Vesselin Dzivev, PhD student
Faculty of Mathematics and Informatics
Sofia University
ЕXCEL В ПОМОЩ ПРИ РЕШАВАНЕ НА НЯКОИ ПОКАЗАТЕЛНИ УРАВНЕНИЯ
Диана Стефанова, Пламен Пенев
Резюме. Статията предлага включване на възможности на експерименталната среда на програмата Excel за разнообразяване решаването на някои групи показателни уравнения от ученици в средното училище
Keywords: problem solving, indicative equation, number, table, macros
ЕXCEL HELPS IN SOLVING SOME EXPONENTIAL EQUATIONS
Abstract. The paper proposes to include possibilities of the experimental environment of the program Excel in varying the problem solving of some groups exponential equations by secondary students.
Dr. Diana Stefanova
Teacher in Mathematics
Mr. Plamen Penev
Teacher in Informatics
AN IMPROVEMENT OF THE GERRETSEN’S INEQUALITY FOR NON-OBTUSE TRIANGLES
Šefket Arslanagić
University of Sarajevo
Abstract. The inequality is proved in the paper as a generalization of the Gerretsen’s inequality for non-obtuse triangles.
Keywords: non-obtuse triangle, inequality, gеneralization
THREE INEQUALITIES FOR THE ALTITUDES OF A TRIANGLE
Šefket Arslanagić
University of Sarajevo
Abstract. The following three inequalities are considered in the paper , , Arrangements of inequalities are considered too.
Keywords: triangle, altitude, inequality, generalization, arrangement
COMPUTER DISCOVERED MATHEMATICS: ORTHOLOGY CENTERS OF THE EULER TRIANGLES
Sava Grozdev, Deko Dekov
University of Finance, Business and Entrepreneurship
Abstract. The paper studies the orthologic triangles of the Euler triangles and their orthology centers. The results are discovered by the computer program “Discoverer”.
Keywords: Euler triangles, orthologic triangles, orthology center, computer-generated mathematics, Discoverer.
FORECASTING OF TIME-SERIES FOR FINANCIAL MARKETS
Reinhard Magenreuter
University of Finance, Business and Entrepreneurship
Abstract. One of the four backbones to analyze time-series in general and forecast time-series for financial markets, particularly, is the Chaos-Theory. The four backbones are: Chaos-theory, Fuzzy logic, Neural networks and Genetic algorithms. Although each method itself is a powerful analytic tool, the present paper suggests to combine them to a hybrid analytic and analysis tool, where all methods interact and result in promising outcomes.
Keywords: market, chaos, synergetics, forecasting
Reinhard Magenreuter
University of Finance, Business and Entrepreneurship
Abstract. There are four backbones to analyze time-series in general and forecast time-series for financial markets: Chaos-theory, Fuzzy logic, Neural networks and Genetic algorithms. The first one is considered in (Magenreuter, 2016), while the present paper is dedicated to the third backbone including an example with promising outcomes in financial markts.
Keywords: perceptron, sigmoid, neural network, financial market, time-series, forecasting
АКАДЕМИЧНАТА ЛЕКЦИЯ – ТРАДИЦИОННА ФОРМА НА ОБУЧЕНИЕ ВЪВ ВУЗ С ВЪЗМОЖНОСТИ ЗА ИНОВАЦИОННО РАЗВИТИЕ НА ПОЗНАВАТЕЛНИЯ ПОТЕНЦИАЛ
Елена Радованова
Технически университет – София
Резюме. В статията рационално се структурира и систематизира познание, което адаптивно корелира управляващата и самоуправляващата дейност на обучавания. Съвременните изисквания за интензификация в настоящето налагат максимално да се развива познавателният потенциал. В унисон с тези изисквания се появява необходимост от предлагане на възможности за развитие на лекцията като основна форма на обучение в границите на висшето училище.
Keywords: education, lecture, learning, innovation system
THE ACADEMIC LECTURE – A TRADITIONAL FORM OF INSTRUCTION IN HIGHER EDUCATION WITH POSSIBILITIES FOR INNOVATIVE DEVELOPMENT OF LEARNING POTENTIAL
Abstract. The article structures and systematizes knowledge rationally, which adaptively correlates the managing and self-managing activity of learners. The contemporary requirements for intensification today impose developing learning potential to the highest degree. In line with these requirements, there is a need to offer possibilities for developing the lecture as a basic form of instruction within the University.
Ms. Elena Radovanova, Assist. Prof.
Faculty of Mathematics and Informatics
Technical University