Innovation is the display of social progress, but also the basis of the power of educational development. This paper studies and analyzes the teaching and reform of critical thinking course, through the teachers' teaching experience, teaching mode of in-depth investigation and analysis, for effective improvement. Nowadays, in the "teacher-oriented, student-supported" teaching mode, students play a listener, and more to form a "what the teacher teaches, what the student learns" tendency of education, unchanging, which is the role played by the teacher in the teaching process. This is the role played by the teacher in the teaching process. For the students, the class is just a form, only need to listen carefully, take good notes, and even class cannot study, can also be muddle through a class. And this rigid teaching method is not only not beneficial to the development of students, but also seriously hinder the development of students' innovation, thinking and logic ability, so that the demand for talent is not balanced, and finally not conducive to the direction of students' employment. The significance of this paper is to provide a feasible teaching mode and method for educational practice, aiming at elaborating an introductory course based on "point line surface" as the small class teaching mode, guiding students' hands-on practical ability, cultivating students' innovation ability, and stimulating students' enthusiasm in the classroom.
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