Leveraging Generative Artificial Intelligence to Enhance Mathematical Innovation and Practical Abilities of University Students

With the rapid development of artificial intelligence technology, generative artificial intelligence (GenAI) has been increasingly applied in the field of education. By analyzing the current application status, advantages, challenges, and implementation strategies of GenAI in mathematics education, this paper aims to explore how to leverage GenAI to enhance the mathematical innovation and practical abilities of university students and seeks to provide valuable references and insights for educators. Specifically, GenAI can be used to create personalized learning materials and provide real-time feedback, which can significantly improve students' understanding and application of mathematical concepts. The integration of GenAI in teaching can facilitate innovative teaching methods, such as inquiry-based learning and collaborative problem-solving, which are crucial for developing students' mathematical innovation abilities. However, challenges such as ensuring the accuracy of AI-generated content and addressing ethical concerns must be carefully managed. This paper will also discuss practical strategies to overcome these challenges and maximize the benefits of GenAI in mathematics education.