Innovative Applications and Data Driven Analysis of Vadic Mathematics in Modern Algebraic Problem Solving

Vedic mathematics, an old system rooted in the Vedas, offers an innovative and intuitive approach to solve mathematical problems using mental calculation techniques. This research work explores the practical application and benefits of Vedic mathematics to solve algebraic problems, particularly quadratic equations, factorization and simultaneous equations. When using specific sutras such as “Samucaya and “Paravartya Yojayet”, we compare the efficiency and precision of Vedic techniques with traditional algebraic methods. A data -based study was conducted involving 60 students, divided equally between traditionally trained and trained groups, it was carried out to analyze the performance depending on the necessary time, precision and perceived cognitive load. The results indicate a significant improvement both in speed and precision for students who use Vedic techniques, together with a reduced mental tension. The results suggest that the integration of Vedic mathematics in modern education could improve computational skills, increase students and reduce mathematical anxiety. This article contributes to the growing academic discourse on alternative mathematical methodologies and their educational impact.