Research On Geometric Proposition Teaching In Junior Middle School Based On CPFS Structure Theory

In 2014,the Ministry of Education formally proposed the concept of key competencies.In 2017,mathematics course standard in senior high school further expanded the six key competencies of mathematics.The mathematical conclusion obtained through logic reasoning literacy is mathematical proposition.During the compulsory education stage,the mathematics curriculum standard emphasizes developing the eight main abilities of students.In junior high school,mathematical proposition is mainly presented in geometric format.The reason why students in Junior high school find proof is hard and students in senior high school do poorly in mathematics is that students do not know well about mathematical proposition.Based on the significance of proposition teaching,the research of geometry proposition teaching in junior high school plays an important role for teachers teaching and for students understanding the proposition.52 Teachers were randomly selected from Yantai and five middle schools were randomly selected in Yantai with 40 students from each.Three classes were selected in the way of isomerism of the same class.As the research objects,analyzing the questionnaire which asked teachers and students feeling about current teaching and learning situation on geometric problems and getting the preliminary results is the first step.Secondly,three lessons were cut into four stages: introduction,new knowledge,practice,and summary.Then the assignment analysis and evaluation are carried out to get a current situation on classroom implementation.Finally,the problem and suggestions would come along when summarizing the results of questionnaire and the analysis of lessons.According to the questionnaire and lesson analysis,teachers do not pay enough attention to the introduction of proposition,and deal their students with previous teaching experience without any adjustments.In the past,the emphasis on memorizing proposition is lack of targeted application and practice and systematic induction in proposition summary.In the process of proposition learning,students have difficulties in the expression and transformation of mathematical language symbols,in the distinction and connection between new learning proposition and existing proposition,and in the lack of sorting out the key and difficult points of geometry proposition.According to the results of the investigation,the author puts forward suggestions and countermeasures from the introduction,proof,variation,application and summary of the five parts combined with CPFS structure(mathematical cognitive structure).The countermeasures are as follows: attach importance to the introduction of proposition teaching,and trace the generation process of proposition.We should pay attention to the proof of proposition and look for the basic strategy and logic.Strengthen the variable process of proposition and promote the understanding of proposition knowledge.Innovate the application opportunity of proposition and establish the stable connection of proposition.Add topic summary of proposition,form procedural knowledge network.