Year LXIX, Issue 5, 2026<<Archive

Sciеncе in Еducаtion

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GENERALIZED TRIGONOMETRIC IDENTITIES

In this short note we present the use of a form of binary symmetry in trigonometry in order to present naturally grouped trigonometric identities in a compact way. This approach is more conceptual and, in particular, replaces a tedious consideration of simil...

generalized trigonometric identity; binary symmetry; shortening the exposition

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HORIZONTAL SYNCHRONIZATION WITH MATHEMATICS IN THE CURRICULA OF NATURAL SCIENCES, COMPUTER MODELING AND INFORMATION TECHNOLOGIES

The paper presents an analysis of the current Bulgarian curricula in Mathematics, Physics and Astronomy, Chemistry and Environmental Protection, Biology and Health Education, Geography and Economics, Computer Modeling, and Computer Modeling and Information Te...

mathematics; physics; chemistry; biology; geography; computer modeling; information technologies; curricula

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P.A.N. IN THE CLASSROOM: A PRACTICAL APPROACH TO MORE SUCCESSFUL PYTHON PROGRAMMING EDUCATION IN 8th GRADE

This article examines the challenges of teaching a text-based programming language (Python) at the beginning of the secondary school stage, when students enter with uneven prior preparation and varying levels of confidence in writing program code. The focus is...

Python programming; project-based learning; P.A.N. method; leveling of competencies; data structures

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