Research On The Ability Of Making Abstraction And Summary In Mathematics For Junior Three Students

generalization ability refers to the ability to abstract the mathematical essence of things by observation,analysis,induction,analogy and other methods in concrete situations,express it with appropriate mathematical language or symbols,and expand it into a kind of things.Professor Jinfa Cai believes that the level of abstract generalization of students determines the ability of mathematics learning,so in the junior three teaching teachers should pay attention to the cultivation of students' abstract generalization thinking,improve the ability to see the essence through complex phenomena.After evaluating the abstract generalization ability of junior three students,using SPSS analysis software and Excel table to evaluate statistical data and drawing the conclusion of the study,according to the existing problems to put forward the corresponding teaching strategy and give teaching cases.Through the literature method,test method,data analysis method and interview method to study,the preparation of the evaluation framework and test volume of this paper,in Henan Province,Anhui Province,Chongqing City selected four secondary schools in the third grade of the evaluation,found that the current third grade students abstract generalization ability is mostly in the level two,about half of the students reached the level of three,Few students reachthed the fourth level,through data analysis,students' problem-solving and interviews with teachers and students to draw the following conclusions:The mathematical abstract generalization ability of junior three students performs better in level one and level two,but the overall level is at the medium level,there are problems such as weak situational transformation ability,weak theoretical basis,simple thinking machinery,etc.,which is not ideal and needs to be improved and improved with the help of teachers.The students' overall situational transformation ability is slightly stronger than the theoretical logic ability,the students lack the ability to grasp and apply the essence of knowledge,the abstract generalization ability has no obvious gender difference,but the situational transformation of girls is better than that of boys,the theoretical logic of boys is better than that of girls,and the abstract generalization ability of students in the first middle school at the municipal level is better than that of other municipal secondary schools.The abstract generalization ability of the students in the municipal middle school is better than that of the county high school,but there is no obvious difference,Under the premise that the basic knowledge is solid,learning mathematics from a holistic perspective can help improve the ability of abstract generalization.According to the conclusions obtained above,the reasons for the lack of abstract generalization ability are analyzed.From the four aspects of teachers' self-construction,concept teaching,analogy teaching,and modeling teaching,they propose suggestions and teaching strategies for the third grade teachers to build their own,and give corresponding teaching cases.,Designed to arouse teachers' attention to the ability of abstract generalization,so as to effectively implement it in the classroom.