OPTIMIZING NUMERICAL SIMULATIONS IN EDUCATIONAL CONTEXTS: APPLYING RUNGE-KUTTA 6(5) METHODS TO MODEL LANGUAGE ACQUISITION DYNAMICS 

Abstract

This study examines how Outcome-Based Education (OBE) and labor education can enhance vocational English teaching in China through a computational approach. Using the highly accurate Runge-Kutta 6(5) method, it simulates students’ English learning progress over time. By testing various teaching strategies, the model identifies optimal methods to improve language skills and workplace readiness. Data from 120 vocational students in China show a 15% improvement in language abilities when OBE is combined with labor-focused activities.. The findings offer educators a practical framework for designing effective English courses, contributing to innovative education and meeting global demands for skilled communicators.