Cultural Adaptation Dilemma and Two-way Adaptation Path Exploration in Bilingual Teaching Based on Optimization Theory

Bilingual instruction of Optimization Theory demonstrates dual characteristics of high cognitive load and significant comprehension gaps in both disciplinary knowledge transfer and linguistic transformation. This study systematically analyzes the interactive relationships among curriculum content, teaching strategies, and students 'cognitive patterns through the lens of cognitive mechanisms and cultural adaptation. It reveals the synergistic effects and tensions between language expression, cultural context, and disciplinary logic within bilingual environments. By establishing a culturally inclusive bilingual teaching framework, enhancing teachers' intercultural competence, and developing localized-international integrated curriculum resources, the research achieves synchronized development of knowledge transformation, cognitive integration, and cultural understanding. This provides theoretical support and practical references for bidirectional adaptation of Optimization Theory courses. The study emphasizes the core role of dynamic balance in teaching contexts and resource co-construction mechanisms in enhancing students' cognitive depth and academic transferability.