Research On Permutation And Combination Teaching In Senior High School

With the development of society,economy and technology,the educational demand and practical skills for citizen's is getting higher and higher.Especially,the influence of the key competence and the ability of mathematics on the development of individual thinking process is unprecedentedly high.There are new requirements for teachers' teaching methods and students' learning methods.Moreover,the research and discussion on teaching and learning is more necessary and urgency.Teaching content decides the teaching forms.The design of mathematics teaching process and teaching implementation can not be carried out with a fixed model,but according to the differences of teaching aims,teaching content and teaching methods or model to classified the teaching content and activities' organization,and different implementation plans should be designed according to the characteristics of mathematics subject and the teaching content.Through investigation and research,we find that there are some imprecise and confusing phenomena in the design and implementation of permutation and combination in the classroom teaching,which leads to the poor effect of permutation and combination teaching.Therefore,we aim to seek better methods in teaching and learning,using literature analysis,classroom observation and investigation methods to conduct in-depth research the process and effect of pre-class,in-class and after-classPart?: Introduction.This paper briefly describes the current situation and existing problems of permutation and combination teaching research in senior high schools at home and abroad,puts forward the purpose and significance of the research,chooses effective research methods and ideas for better teaching research.Classifies and discusses the existing problems.Part?: Theoretical basis.In order to fully and thoroughly explore the research of permutation and combination teaching in senior high schools,this paper summarizes the six links of "teaching" and "learning"(i.e.preparation in advance,content analysis,method selection,principles followed,planning and implementation,evaluation and reflection)as well as the related theory of class type,and builds a theoretical basis for the research of permutation and combination teaching.Part ? : Analysis of permutation and combination.This paper outlines the knowledge points of permutation and combination,illustrates the idea and method of solving permutation and combination problems by classifying and expanding examples,and summarizes the common types of permutation and combination problems by analyzing and classifying the real questions in college entrance examination.Part ? : Investigation and analysis of teaching situation.In order to further optimize permutation and combination of teaching,the investigation of the permutation and combination in high schools is divided into two aspects: one is the observation about permutation and combination teaching in class;the other is the questionnaire survey of students' learning effect about permutation and combination.Through sorting out and analyzing,the problems are found and the countermeasures are put forward.Part?: Design and implementation of classified teaching of arranged and combined courses.The choice of teaching content and the teaching form(course type)are different.According to the teaching content,this paper only clarifies the existing problems in teaching and learning from the perspective of four types of courses,such as concept course,principle course,exercise course and special subject course,so as to provide reference for effective teaching work.Part ?: Conclusion.The teaching process of permutation and combination,the understanding of classified teaching research is not consummate.Based on the teaching practice,some suggestions on permutation and combination teaching research and the shortcomings of this study are put forward.It is hoped that these cases and analysis will be helpful to the implementation of the new curriculum concept.