Analysis And Research On The Problem-solving Errors Of The Second-year High School Students In Plane Vector

Vector is one of the basic concepts in modern mathematics,and it is also a part of high school mathematics curriculum.Vector has "dual nature",which is not only an object of geometric research,but also an object of algebraic research.It is not only a tool for communicating trigonometric functions and solving triangles,but also has a very rich practical background.It is also the carrier of many mathematical thinking methods,which is very important to cultivate students' ability of observation,analysis,induction and reasoning.The content of plane vector is the beginning and foundation of vector learning.In practice,we found that students in the process of learning plane vector,there will be a lot of problems,the teacher how to deal with the problems of students,which is full of the teacher's teaching wisdom.Studying students' problem solving errors can not only bring feedback to teachers' teaching,help teachers to improve their teaching,guide students to reduce problem solving errors,but also inspire teachers and students to realize the value of problem solving errors.This paper mainly studies the following three questions:(1)through the questionnaire survey,to understand how students think of their problems in the plane vector learning,and what they will take to deal with their problems;(2)using the test results and communication records,analysis of the students' problem solving error types and problem solving error reasons;(3)through the investigation and analysis of the results,the wrong question management,as well as the teacher's plane vector teaching and problem solving error correction teaching put forward the corresponding Suggestions.The research methods adopted in this study are questionnaire survey and literature analysis.The research tools we used are the questionnaire for mathematics learning of senior two students and the test paper of plane vector.It can be seen from the survey results that students have a basic understanding of their own problem solving errors,and have a better understanding of how to make use of the problem solving errors for further learning.However,in the real implementation of the actual learning,but showed a lack of ways and methods.The test results of the test papers more objectively reflect their problems in learning plane vectors.Through the test results,it can be seen that students' problem solving errors on the plane vector are not recognized by them--they are basically knowledge errors and negligence errors,but all kinds of errors account for a certain proportion.In view of the results of this investigation,this paper puts forward some Suggestions on how to carry out corrective teaching and quantitative teaching,and how to manage students' wrong questions.I hope it can help teachers' teaching and students' study.