In recent years, large language models (LLMs) have been a hot topic in artificial intelligence research., profoundly impacting many fields., including education. LLMs showcase powerful capabilities in natural language comprehension and generation., demonstrating impressive domain generalization after downstream tasks fine-tuning. Therefore., fine-tuning LLMs have attracted much attention from education., and research on their educational applications has begun to enter the public view. This paper undertook a comprehensive examination and analysis of the fine-tuning LLMs and their potential applications in the field of education. On this basis., we explore the common issues currently encountered in fine-tuning LLMs., considering both the advantages and limitations of fine-tuning LLMs and their potential to enhance the efficiency and effectiveness of education. Finally., to help educators make informed decisions and foster innovation in education for the better service of human education., we look into the future trends and applications of fine-tuning LLMs in education.