This paper explores and researches the teaching methods of university mathematics in hierarchical teaching. This research implements integrative teaching methods,which include simplifying abstract theories,connecting theory with examples in real life,introducing case study by lead-in problems,strengthening auxiliary teaching of mathematics experi-ment,infiltrating mathematical culture into teaching,constructing extracurricular learning platform and communication platform between teachers and students,thus enhancing the students' self-confidence and improving learning interest and learning ability.%对分级教学下大学数学的教学方法进行了探索与研究,通过实施抽象的课程理论简明化、生活化,通过问题导入案例,加强数学实验的辅助教学作用,将数学文化渗透到课程教学,建设课外学习平台和师生交流平台等多种方式相结合的教学方法,增强了学生的自信心,提高了学生的学习兴趣和学习能力。
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