Competency Models for Studying Numerical Sets

Desislava Georgieva
Faculty of Mathematics and Informatics, „St. Cyril and St. Methodius“ University of Veliko Tarnovo

https://doi.org/10.53656/math2025-4-2-cms

Abstract. 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 teaching mathematics in secondary school are developed. They are based on the principles of stimulating active participation of students and revealing the practical application of knowledge about numerical sets. Some of the models integrate electronic tools in mathematics teaching such as GeoGebra and MS Excel and are in the context of digital education. The methodology of developing the models uses the competency-based, research, game and project-based approach to teaching. The effectiveness of the author's models is justified by the method of expert evaluation. The study of numerical sets is considered as a meaningful goal and a means of developing analytical thinking, mathematical culture and key competencies that will support students not only in the educational process, but also in real life.

Keywords: numerical sets; fractions; rational and irrational numbers; learning models; digital technologies

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