Research on the Implementation Path of Mathematical Thinking Cultivation in University Mathematics Education

Mathematical thinking is one of the core objectives of university mathematics education, playing a crucial role in enhancing students' logical reasoning, innovative thinking, and mathematical application abilities. However, current university mathematics education primarily focuses on knowledge transmission, with issues such as unclear goals, monotonous methods, and outdated evaluation systems hindering the effective development of students' mathematical literacy. This study systematically analyzes the current status and challenges of mathematical thinking cultivation in university mathematics education based on the fundamental types and value of mathematical thinking. By drawing on advanced domestic and international experiences, the study explores optimization strategies for mathematical thinking cultivation. The research findings suggest that constructing a mathematics thinking-oriented curriculum system, optimizing teaching methods, and improving evaluation systems are key to enhancing the quality of mathematical thinking cultivation. In the future, greater emphasis should be placed on interdisciplinary integration, the empowerment of information technology, and personalized learning support to meet the evolving demands of higher education.