The Role of Comparison, Analysis, and Generalisation in the Formation of Mathematical Concepts

The formation of mathematical concepts is an important pedagogical process closely linked to students' cognitive development, logical thinking, and problem-solving abilities at both the primary and general education levels. Mathematics is not merely the teaching of ready-made rules, formulas, and calculation methods; it is also a process through which students learn to see relationships between objects and phenomena, identify similarities and differences, draw conclusions, and apply acquired knowledge to new situations. In this regard, comparison, analysis, and generalisation serve as fundamental cognitive operations in the mastery of mathematical concepts. This article explores the theoretical and methodological foundations of comparison, analysis, and generalisation in the formation of mathematical concepts, explains the ways these cognitive operations are applied in the teaching process, and demonstrates their significance through concrete examples.