On Problem 3 of International Mathematical Olympiad 2024
Dragomir Grozev
Institute of Mathematics and Informatics
Bulgarian Academy of Sciences - Sofia
https://doi.org/10.53656/math2024-6-1-ont
Abstract. The article is dedicated to solving Problem 3 from the International Mathematical Olympiad (IMO) 2024. The wording looks deceptively easy, but the problem turned out to be quite difficult for many of the participants, including the Bulgarian contestants...
Opportunities to build Interdisciplinary Connections Mathematics – Informatics
Elena Karashtranova, Irena Atanasova, Nadezhda Borisova
Department of Informatics
South-West University “Neofit Rilski”
Blagoevgrad, Bulgaria
https://doi.org/10.53656/math2024-6-2-opp
Abstract. Building interdisciplinary connections in learning helps both for the achievement of permanent knowledge, as well as for the acquisition of practical skills...
Dimensional Analysis – a Necessary Condition for the Application of Mathematical Models
Georgi Gachev
Institute of Mathematics and Informatics
Bulgarian Academy of Sciences - Sofia
https://doi.org/10.53656/math2024-6-3-dim
Abstract. The article presents the analysis of dimensions as a necessary condition for the correct application of mathematical models in practice...
The Method of Auxiliary Parallel Planes when Studying the Type of Sections of a Torus with a Plane
https://doi.org/10.53656/math2024-6-4-the
Irena Parvanova 1), Vencislav Radulov 2)
1) Department of Applied Mathematics and Informatics
Technical University of Sofia
2) Faculty of Mining Electromechanics, University of Mining and Geology
Abstract. The article discusses the study and determination of the type of curves that result from the intersection of a torus with a plane using the methods and tools used in descriptive geometry...
Using Visual Basic for Excel Applications for Developing Students’ Programming Skills
Stefka Aneva, Elena Todorova
University of Plovdiv ”Paisii Hilendarski“
Plovdiv, Bulgaria
https://doi.org/10.53656/math2024-6-5-usi
Abstract. The paper presents an approach for developing and refining the students’ practical and applied skills in programming by using the capabilities of Visual Basic for Excel Applications...
Teaching Future Mathematics Teachers to solve Problems with Parameters: Ukrainian Experience
Alla Prus, Ivan Lenchuk
Department of Algebra and Geometry
Ivan Franko State University – Zhytomyr (Ukraine)
https://doi.org/10.53656/math2024-6-6-tea
Abstract. The professional development of Mathematics teachers is one of the important areas of the research. We consider the ability to solve problems with parameters as a significant indicator of competence of a teacher of Mathematics…
Artificial Intelligence in Cybersecurity: Rigorous Critical Review, Methodological Challenges and Future Research Directions
Maria Mpitsi
Faculty of Mathematics and Natural Sciences
South-West University – Blagoevgrad (Bulgaria)
https://doi.org/10.53656/math2024-6-7-art
Abstract. This paper offers a critical review of the applications of AI in cybersecurity, focusing on the recent trends of automation in threat detection, enhancement of response strategies, and prediction of vulnerabilities…
