Година LXVII, Книжка 4, 2024<<Архив>>
Научно-методически статии
DYNAMICS OF A NEW CLASS OF OSCILLATORS: MELNIKOV’S APPROACH, POSSIBLE APPLICATION TO ANTENNA ARRAY THEORY
In this paper, we propose a new class of extended oscillators. Some investigations based on the Melnikov’s approach are applied for identifying some chaotic possibilities. We demonstrate also some specialized modules for investigating the dynamics of these osc...
escape oscillator; Melnikov’s method; hypothetical Melnikov antenna array
ON THE TIME COMPLEXITY OF AN ALGORITHM
The difficulty of estimation the time complexity of an algorithm in the worst case is not always the same as the mathematical complexity of the solved task. In this paper we demonstrate a mathematically clear task proposed in a programming contest for Grade 6...
programming contests; algorithm; subsequence cutting; time complexity of algorithm
AN ITERATIVE ALGORITHM FOR DETERMINING THE GREATEST COMMON DIVISOR OF TWO OR MORE UNIVARIATE POLYNOMIALS
The GCD problem in polynomial rings has long intrigued mathematicians for its diverse applications, leading to methods like the Euclidean algorithm, Routh array, and matrix-based approaches. Despite the low costs of the Euclidean algorithm, it faces numerical...
greatest common divisor; univariate polynomials; algorithm; Python program
Образователни технологии
ARTIFICIAL INTELLIGENCE TOOLS INTO HIGHER MATHEMATICS EDUCATION: OPPORTUNITIES, CHALLENGES, AND STUDENT PERCEPTIONS
The article examines the use of artificial intelligence (AI) tools in higher mathematics education, focusing on the opinions and experiences of Bulgarian students. The research aims to explore how they impact on personalized learning, student engagement, skill...
artificial intelligence tools; higher mathematics
НАГЛАСИ НА БЪДЕЩИТЕ УЧИТЕЛИ ЗА ПРИЛАГАНЕ НА ИЗКУСТВЕН ИНТЕЛЕКТ В ОБУЧЕНИЕТО
В статията са представени данни от анкетно проучване на нагласите за работа с интелигентни програми, базирани на големи езикови модели (LLM), сред 218 студенти и специализанти – бъдещи учители, подготвяни в Шуменския университет. Анкетата е проведена в рамките...
нагласи; бъдещи учители; LLM базирани програми; чатбот; анкета
Въпроси на преподаването
КОМПЮТЪРНИ МОДЕЛИ НА ЕДНА ОЛИМПИЙСКА МАТЕМАТИЧЕСКА ЗАДАЧА
Представени са динамични компютърни модели на една геометрична задача от XXIII балканска олимпиада по математика през 2006 г. Описани са идеи за използването им: за осигуряване на условия за изследователска работа и формулиране на хипотези, за откриване на иде...
изследователски подход; олимпиада по математика; GeoGebra; компютърни модели
GEOGEBRA IMPACT IN AVOIDING COMMON MISTAKES STUDENTS MAKE IN HANDLING EXPONENTIAL FUNCTIONS
Exponential functions, symbolized by \(f(x)=a^{x}\), represent fundamental mathematical concepts with extensive applications in real-world scenarios, ranging from population growth to compound interest and radioactive decay (Tuda & Rexhepi 2023). This abstrac...
exponential functions; analysis; students; GeoGebra