Year LXIX, Issue 4, 2026<<Archive
In this issue:
Sciеncе in Еducаtion
A PROPERTY OF A TETRAHEDRON WITH A RIGHT TRIHEDRAL ANGLE
A property of a tetrahedron with a right trihedral angle is considered. Several approaches to its proof are presented. For this purpose, auxiliary statements are discussed, which also have independent significance.
stereometry; right trihedral angle; tetrahedron; Lagrange’s formula; Euler’s formula; de Gua’s theorem; mathematical olympiad
CONTRIBUTION OF EXTENDED TRAINING OF MATHEMATICS IN JUNIOR HIGH SCHOOL
The research examined the added value of extended mathematics training in 7th grade in Bulgarian schools. The results show that the additional hours with Mathematics in school do NOT lead to an improvement in students’ performance.
mathematics; extended training; added value
ANALYSIS OF THE RESULTS FROM THE NATIONAL EXTERNAL ASSESSMENT IN MATHEMATICS FOR \(7^{\text {TH }}\) GRADE, 2025
The article examines the performance of seventh-grade students in mathematics in 2025, aiming to outline some key conclusions, identify challenges, and propose directions for improving the educational process.
National External Assessment; Grade 7; Classical Test Theory; Item Response Theory
Еducаtionаl Tеchnologiеs
APPLICATION OF METACOGNITIVE STRATEGIES AND ARTIFICIAL INTELLIGENCE IN THE LEARNING PROCESS
This article examines the application of metacognitive strategies in the instruction of rational inequalities for \(9^{\text {th }}\)-grade students. The study presents a pedagogical model that integrates artificial intelligence (AI) tools – specifically Cha...
metacognitive strategies; artificial intelligence; personalized learning; problem-solving strategies
AN EXPERIMENT SIMULATING CORPORATE TRAINING USING BUSINESS PROCESS MODELS
The article examines the application of business processes in the design and implementation of corporate strategy for employee’s professional development. A training approach using processes in an organization is presented, which allows for the definition and...
business processes; BPMN; corporate training; corporate hierarchy; employee training simulation
ADAPTING THE BEHAVIOR OF VIRTUAL CHARACTERS IN EDUCATIONAL VIDEO GAMES
Virtual players, also known as non-playable characters (NPCs), are utilized in educational video games to create an engaging gameplay experience that leads to improved learning outcomes and enhanced skills and competencies. To foster motivation and engagement...
Video games; NPC; Adaptation; Behavior
OBTAINING AN ANALYTICAL SOLUTION OF FIRST-ORDER DIFFERENTIAL EQUATIONS WITH CHATGPT
ChatGPT is a part of the artificial intelligence developed by OpenAI, which was officially launched in 2022. It is a tool that enables interactive conversations and provides explanations, guidance and information across various fields related to everyday lif...
first-order differential equations; ChatGPT; analytical solution of differential equation.