Research On The Current Situation And Cultivation Strategy Of Seventh Grade Students’ Mathematical Abstraction Ability

Mathematics Curriculum Standards for Compulsory Education(2022 Edition)has determined the core literature-oriented curriculum objectives and clarified the core literatureoriented mathematics in compulsory education.Mathematical abstract ability,as one of them,has attracted wide attention.The seventh grade students are in the critical period of mathematical abstract ability development,but some teachers lack of practical experience to cultivate students’ mathematical abstract ability.Therefore,it is of great significance to study the development status and cultivation strategy of mathematical abstract ability of seventh grade students.This research adopts literature analysis,questionnaire investigation and interview method to study “How is the development status of mathematical abstract ability of seventh grade students?” “What problems exist in the development of mathematical abstract ability of seventh grade students?” Around these two problems,the following research work is carried out: First,through literature research method,by referring to the existing mathematical core literacy assessment framework,the evaluation framework of mathematical abstract ability of junior high school students is constructed;Secondly,through the implementation of mathematical abstract ability test,investigate the overall situation of the development of mathematical abstract ability of seventh grade students in a middle school in Changji City,the gender difference,the relationship between mathematical achievement and mathematical abstract ability;Then,by interviewing some students and teachers,the author analyzes the problems existing in the development process of mathematical abstract ability of seventh grade students.Finally,the paper puts forward some strategies to cultivate the mathematical abstract ability of seventh grade students.By analyzing the results of the test paper survey,the current status of the development of mathematical abstraction ability of 7th grade students was obtained as follows:(1)The overall development of the mathematical abstract ability of the seventh grade students is general,73.4%of the students are at the first or second level,the mathematical abstract ability of the top few students,some students need to improve the mathematical abstract ability;(2)In terms of mathematical abstract content,students are better at summarizing concepts and rules,but their ability to prove problems needs to be improved;(3)There is no significant gender difference in mathematical abstract ability of seventh grade students,but students’ mathematical achievement is significantly correlated with mathematical abstract ability.By sorting out student interview and teacher interview materials,the following problems exist in the development of mathematical abstract ability of students in Grade 7:(1)Students lack the generation process of mathematical abstract knowledge;(2)Students lack experience in mathematical activities to understand abstract content by intuitive means;(3)Students fail to connect mathematical problems closely with real life;(4)Students fail to grasp the important methods of mathematical abstraction;(5)Students lack the training of mathematical abstract ability;(6)Students have not formed the habit of mathematical abstraction.On the level of teachers:(1)Teachers do not pay much attention to the development of students’ mathematical abstract ability;(2)Teachers lack of practical experience in cultivating students’ mathematical abstract ability.In view of the problems existing in the development process of mathematical abstract ability of seventh grade students,this study puts forward the following strategies to cultivate the mathematical abstract ability of seventh grade students:(1)Focus on concept generation and guide students through the process of mathematical abstraction;(2)Reduce the difficulty of mathematical abstraction by intuitive means;(3)Create a practical situation to stimulate students’ mathematical abstract motivation;(4)Teaching analogies and other methods to enrich students’ mathematical abstract experience;(5)Flexible design of variations to exercise students’ mathematical abstract ability;(6)Build a knowledge system to cultivate students’ mathematical abstract habit.