CANTOR IN THE CLASSROOM: TRANSFORMING ABSTRACT CONCEPTS INTO TOOLS FOR TEACHING MATHEMATICS

Abstract

The present study focuses on the potential of the abstract theory of ternary-based sets as a pedagogical tool capable of elucidating intricate mathematical concepts in a more tangible and intuitive manner. Although it may initially appear disconnected from concrete reality, the method of ternary-based sets demonstrates significant relevance in multiple domains of mathematics. By scrutinizing infinite sets and their properties in the context of the ternary base, the opportunity to explore a deeper and more comprehensive understanding of various themes unfolds, encompassing the notion of infinity, demystifying the perceived abstraction, and unveiling the intrinsic elegance of mathematics. It will be evidenced that the approach of ternary-based sets, characterized by its emphasis on logical and rigorous reasoning, can substantially enrich the educational experience, providing students with a robust foundation in the study of diverse concepts in the early grades of elementary school.