Year LXVIII, Issue 4, 2025<<Archive>>
In this issue:
Sciеncе in Еducаtion
GENERALIZATION OF THE COLLINEARITY OF THE STEREOGRAPHIC PROJECTION AROUND THE LEMOINE POINT
Under stereographic projection, the projection point is collinear with the Lemoine points of the projection and the projected triangles or with the centers of their Apollonian circles (Natchev 2025). In the current paper, we generalize the discovered propert...
stereographic projection; collinearity; Olympiad geometry
COMPETENCY MODELS FOR STUDYING NUMERICAL SETS
The study presents a study aimed at expanding students' mathematical competence in studying the concept of number and related concepts. Methodological recommendations on studying numerical sets are summarized and innovative technological models applicable to t...
numerical sets; fractions; rational and irrational numbers; learning models; digital technologies
IMPROVING STUDENTS' MATHEMATICAL COMPETENCES THROUGH PROJECT-BASED LEARNING ACTIVITIES
In the modern Bulgarian school of the 21st century, the issue of using innovative strategies for teaching students from the initial stage of primary education is increasingly being addressed. This paper examines the problem of improving students' mathematical...
mathematics; mathematical competencies; project work; elementary school
Еducаtionаl Tеchnologiеs
EDUCATIONAL RESOURCES WITH PERCENTAGES FOR THE DEVELOPMENT OF THE VISUAL ESTIMATION
Computer models of tasks related to percentage are presented. The files are created with the dynamic software GeoGebra and are provided in the Virtual Mathematics Laboratory, developed by the Institute of Mathematics and Informatics of the Bulgarian Academy of...
computer model; visual estimation; self-assessment; mathematics education; GeoGebra; STEM
THE IMPACT OF USING GEOGEBRA ON UNDERSTANDING QUADRATIC FUNCTIONS AND EQUATIONS FOR TENTH-GRADE STUDENTS
This study explores the impact of mathematical software, specifically GeoGebra, on tenth-grade students' understanding of quadratic equations and functions. The research was conducted in two classes with similar academic levels: one class (\(\mathrm{X} / 3\)...
quadratic equations; quadratic functions; GeoGebra; student difficulties
BRIDGING THE GAP: A PEDAGOGICAL TOOL FOR TEACHING MATHEMATICAL MODELING WITH SPREADSHEETS
The widespread use of information and communication technologies (ICT) offers new opportunities in many topic s of mathematics education. As science and technology are constantly evolving, information technology is becoming increasingly intertwined with educ...
mathematics education; spreadsheets; differential equations; interdisciplinary education; advanced uses of ICT; real-world problems