The Mathematical Thought In Permutation And Combination

Permutation and Combination is the most basic knowledge of today's fast-growing Combinatorial Mathematics.It is not only widely used to prepare for the relevant branches of advanced mathematics as Functional or Number theory,but also become a good material to cultivate students' mathematical thinking ability because of the flexibility in its problem-solving methods.The content is relatively independent,but covers almost the main mathematical thought of high school stage,such as Classification thought,symmetry thought,recursive thought,the combination of number and shape thought and so on.In this respect,it is particularly worthy of our summary and understanding,so that we can help students overcome the fear of this part of knowledge,exercise their thinking ability better,improve their correct rate of solving problems and establish their confidence in practice.Employing the method of document study,questionnaire survey,experience summary,this essay analyzes the values of students' learning permutations and combinations in high school,investigates the degree of knowledge of students,summarizes the different mathematical thought in Permutation and Combination.Combining with my teaching practice,I follow the psychological development of students and implement effective teaching,which make the students' logical thinking and creative thinking get trained.