International Journal of Science, Engineering and TechnologyAuthors: Dr. P. Susmitha Rajani, Assistant Professor, Esam Bhanu Praveen
Abstract: Mathematics and language are often regarded as opposing cognitive domains—one governed by formal logic, the other by arbitrary convention. This paper demonstrates that mathematical applications in English and foreign language education not only reconcile this dichotomy but deliver direct, measurable societal benefits. We examine three principal areas of application: (1) computational and statistical modeling that quantifies language acquisition dynamics, (2) optimization algorithms that personalize learning pathways, and (3) mathematical linguistics that addresses educational equity for multilingual learners. Drawing on 2025 research, including fractional calculus models of second-language acquisition, Bayesian Item Response Theory for curriculum design, and metaheuristic algorithms for educational optimization, we show that mathematical approaches transform language teaching from an art into a data-driven science. The paper concludes that these applications yield 100% societal utility by improving learning outcomes, reducing instructional costs, promoting linguistic equity, and generating scalable educational technologies.
DOI: http://doi.org/10.5281/zenodo.20583533
