Abstract
The course of probability and mathematical statistics is a required course in Chinese colleges. This course has wide application fields, so college teachers should not just make students master solid theoretical knowledge, but also pay attention to cultivating their practical application ability. Students' practical application ability may be gradually cultivated only through changing traditional knowledge infusion mode and the teaching mode of repeating what the book says and actively introducing student-oriented new teaching modes. This paper proposes several modes to cultivate students' application ability, including example teaching, discussion teaching and software experiment teaching. Meanwhile, extracurricular practice activities should be organized for students
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