Difference Analysis Of Plane Vector Knowledge Level Between Senior One Students And Senior Three Students

The chapter of plane vector is the beginning of the main line of high school mathematics "geometry and algebra",which has a profound mathematical connotation and rich physical background,and is the foundation for further study of other mathematical fields.The study of plane vector in senior high school is mainly concentrated in grade one and grade three.Therefore,it is of great significance to have a comprehensive understanding of the current situation of plane vector learning for students in senior one and senior three,and to help front-line teachers how to teach plane vector in different classes for students at different levels.Starting from the concept and application of plane vector,this study uses CPFS structure theory and SOLO classification theory to compile test volumes and formulate scoring criteria,and then conducts data analysis through SPSS data analysis software.This study mainly solves the following three problems:(1)Analysis of the current situation of the plane vector knowledge level of senior one students.(2)Analysis of current situation of plane vector knowledge level of senior three students.(3)Difference analysis of plane vector knowledge level between senior one students and senior three students.A total of 321 high school students were selected as research samples in this study.Through the research,the following conclusions were obtained:(1)The proportion of high school students in excellent CPFS structure level was low,with only 10.2% in excellent CPFS,71.9% in ordinary CPFS,and 17.9% in weak CPFS.(2)48.78% of the students’ SOLO level of vector application is in or below multi-point structure.(3)The unqualified rate of defining conceptual knowledge of senior high school students is 57.1%,the excellent rate of conceptual knowledge of A,B and C students can reach 80%,the students who can reach the understanding and application level of methodological knowledge account for 40%,and the qualified rate of strategic knowledge is53.66%.(4)Fewer senior three students have weak CPFS structure,accounting for 3.6%,26.1%,and 70.3%,respectively.(5)Most of the SOLOs in vector application of senior three students can reach the level of correlation structure or above,and 64.06% of them are in correlation structure or above.(6)The unqualified rate of defining conceptual knowledge of senior high school students is48.1%,the excellent rate of conceptual knowledge of law of A,B and C classes reaches 90%,the students who can reach the understanding and application level of methodological knowledge account for 47%,and the qualified rate of strategic knowledge is 66.17%.(7)The vector conceptual knowledge level of class A from Grade one to grade three decreased,among which,the unqualified rate of definition conceptual knowledge in grade three was 2% higher than that of grade three,and the excellent rate of law conceptual knowledge in grade three was 3.1% lower than that of grade one.(8)The structure of CPFS from Grade one to grade three of B-level class improved the most,and the excellence rate increased by 28%.(9)The overall SOLO level of class vector application at the C level made little progress,and the value of SOLO level from senior one to senior three only increased by 0.49.