Година LXVIII, Книжка 1, 2025Следващ бройАрхивПредишен брой
Научно-методически статии
APPLYING DELAUNAY TRIANGULATION IN OLYMPIAD PROBLEMS
Some fundamental properties of Delaunay triangulation are presented in this article. The construction of the triangulation described here has not been encountered by the authors in the known literature. The main point is to apply this triangulation in solving...
Delaunay triangulation; combinatorial geometry; coloring; perfect matching; Mikl´os Schweitzer competition
A NOTE ON A GENERALIZED DYNAMICAL SYSTEM OCCURS IN MODELLING “THE BATTLE OF THE SEXES”: CHAOS IN SOCIOBIOLOGY
In this paper, we propose a new system that occurs in modelling “the battle of the sexes” in evolutionary biology (Hofbauer & Sigmund 1988). The existence of a heteroclinic cycle and a continuous family of periodic orbits of the system is established; then the...
new system occurs in modelling “the battle of the sexes”; hetero-clinic orbit; Melnikov function; subharmonic Melnikov function; chaotic behavior
APOLLONIAN SPHERE AND PROPERTIES OF STEREOGRAPHIC PROJECTION AROUND THE LEMOINE POINT
The definition and some of the properties of the Apollonian circle in the plane find their analogies in the Euclidean three-dimensional space. Thus, we manage to introduce a new concept in solid geometry that we call an “Apollonian sphere”. It appears that the...
Apollonian sphere; stereographic projection; harmonic tetrahedron; Lemoine point; center of Apollonian circle; Olympiad geometry
Образователни технологии
EDUCATIONAL RESOURCES FOR STUDYING MIDSEGMENTS OF TRIANGLE AND TRAPEZOID
Some educational resources for teaching mathematics in the study of midsegments of triangles and trapezoids are described. Variants of dynamic constructions are considered, in support of characterization studies, as well as for the development of the eye-based...
digital competence; mathematical competence; educational computer models; additive manufacturing; 3D models; inquiry-based learning
DIGITAL COMPETENCY SELF-ASSESSMENT OF COMPUTER SCIENCE TEACHERS IN BULGARIAN SECONDARY SCHOOLS
This article presents a study on the self-assessment of digital competencies among computer science and IT teachers in Bulgarian secondary education. The study aligns with the European Qualifications Framework (EQF), the Digital Competence Framework for Citize...
digital competencies; self-assessment; computer science; software engineering; EQF; DigComp 2.2; DigCompEdu; STEM education; vocational education
UTILIZING GEOGRAPHICAL INFORMATION SYSTEM FOR MAPPING SCHOOLS DISTRIBUTION. CASE STUDY: THE 4TH LOWER SECONDARY SCHOOL IN FLORINA CITY, GREECE
The Geographic Information System (GIS) is still a special tool for mapping schools, comprehending urban planning, and allocating educational resources. In order to demonstrate the value of utilizing GIS techniques to support educational planning authorities,...
geographic information system (GIS); QGIS; school mapping; planning; educational facilities; school desert
ADDRESSING DATA LITERACY IN INFORMATION SYSTEMS EDUCATION
Data literacy is essential in our data-driven society. The role of data in education is even more significant. Obtaining data literacy skills is important for both students and educators. Aligning data literacy in computing students’ education will enhance stu...
data literacy; education; information systems curricula; system analysis and design