Year LXVII, Issue 4, 2024<<Archive>>
In this issue:
Sciеncе in Еducаtion
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
Еducаtionаl Tеchnologiеs
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
ATTITUDES OF PROSPECTIVE TEACHERS ON IMPLEMENTATION OF AI
The article presents data from a survey of the attitudes towards working with intelligent programs based on large linguistic models (LLM) among 218 students and specialists – future teachers educated at Shumen University. The survey was conducted within variou...
attitudes; future teachers; LLM based programs; chatbot; poll
Еducаtionаl Issuеs
COMPUTER MODELS OF ONE MATHEMATICAL OLYMPIAD PROBLEM
Dynamic computer models of a geometry problem from the 23rd Balkan Mathematical Olympiad in 2006 are presented. Ideas for their use are described: for providing conditions for research work and formulating hypotheses, for discovering an idea for solving, for p...
inquiry-based learning; mathematical Olympiad; GeoGebra; computer models
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