【摘要】 文中简要介绍了探究式教学法的产生、兴起及其在高等教育中的应用现状，论述了探究式教学法在数学专业课程中应用的必要性，通过具体实例分析了探究式教学法在泛函分析课程教学中应用的三个层次，并着重探讨了在课题层次中的应用.更多还原

【Abstract】 This paper briefly introduces the emergence, development, and application of inquiry-based pedagogy in higher education, emphasizing its necessity in university-level mathematics courses. Using concrete examples from functional analysis, it analyzes three layers of inquiry-based implementation and highlights its application in project-based learning.更多还原