Phenomenal Fractal Geometric Techniques in Mathematics Education for Key Stage 2 Students: A New Paradigm for Teaching Multiplication Tables

In basic schooling, the rote memorization of multiplication tables is a fundamental yet often difficult rite of passage. Often, this conventional approach encourages math anxiety and misses the opportunity to develop profound conceptual knowledge of patterns and number theory. The use of phenomenal fractal geometric techniques is suggested in this article as a paradigm shift toward a more interesting, visual, and constructivist approach. Students find complex and lovely geometric patterns, resembling fractals, by graphing the last digit of multiplication outputs on a circular number line; this helps them to see the inherent structure of multiplication. This technique turns a mnemonic activity into mathematical and aesthetic inquiry. By encouraging curiosity, prioritizing conceptual learning above procedural repetition, alleviating math anxiety, and including interdisciplinary elements of art and mathematics, this method fits next-generation teaching principles. This technique develops the critical thinking and pattern-recognition abilities required for 21st-century students in addition to making multiplication more effective and fun. Further empirical studies are needed to confirm its long-term influence on mathematical ability and attitude.