The Study Of The Analytic Geometry Problem Of The High School Students

In the process of learning mathematics, every student may make different kinds of mistakes or errors in solving the problem. So, mathematical problem-solving errors have been the focus for teachers. Teachers expect students to acquire the knowledge more smoothly and successfully in the process of learning, and make errors as less as possible. Therefore, the deeper study of students'all kinds of errors in learning mathematics, the distinguishing, induction, and analysis of them has important practical value and theoretical significance in gaining experience and getting lessons.Based on high school mathematics textbook (compulsory two B version by PEP) chapter 2 preliminary plane analytic geometry. The author conducted an investigation using "Questionnaire on senior one students learning of plane analytic geometry" and a test through "senior one plane analytic geometry tests". The study mainly studies the following four basic questions:(1) how does senior one students deal with the problem-solving errors in the process of plane analytic geometry learning? (2) What kinds of problem does senior one students have in learning plane analytic geometry? (3) What are the main causes of these errors? (4) How to improve the teaching process and reduce the errors?The main research methods used in this study are literature research, questionnaire, and test paper analysis. In the process of the entire study, first of all, the author conducted a questionnaire on 92 students who have just learned this chapter, and then gave a test to 50 of them. Next, the author collected the questionnaire and test papers and classified the statistics. Finally, the author analyzed statistical data and got the corresponding results.The study is divided into six chapters. The first chapter introduces the research background, research questions, research significance and the structure of the thesis. The second chapter reviews the related research at home and abroad, and expounds the concept and classification of mathematical error. The third chapter introduces the research object, research questions, and analyzes the problem-solving errors with the help of the questionnaire and test paper. The fourth chapter introduces the research results from the types and the reasons for the problem solving error. The fifth chapter gives some suggestions on improving plane analytic geometry teaching in senior one. The sixth chapter explains the shortcomings and the innovation of this studyThrough this research, we have mainly obtained the following conclusions:First of all, there are mainly two kinds of mistakes in solving questions related to plane analytic geometry, namely knowledge-based mistakes and mental mistakes. The knowledge-based mistakes can be roughly divided into three categories:(1) The inaccurate mastery of already learned knowledge; (2) The misunderstanding of the question; (3) The operational error owing to the lack of corresponding mathematical knowledge. Mental mistakes are mostly due to careless.The second, the causes of the errors can be summarized as:(1) Students'knowledge that already got is infirm and inaccurate; (2) The knowledge to learn is too difficult; (3) Students' operation ability is poor; (4) Students'learning methods and learning habit are inappropriately; (5) teachers' teaching method is insufficient.The last, based on the study and the related researches before, we put forward the following suggestions' to improve the plane analytic geometry teaching in senior one; (1) Make timely adjustments about the teaching key points according to the actual situation of students; (2) Give a correct view of the value and function of the problem-solving errors in teaching; (3) Correct problem-solving mistakes of students timely and properly in order to promote students'learning; (4) Guide students to deduct errors in solving problems appeared in the process of learning independently and efficiently.