Investigation And Analysis On The Problem Of Errors In The Conic Curve Of Senior Middle School Students

There is no doubt that students may have made mistakes in clearing problems during the learning mathematics to some extent. However, in the process of teaching, a teacher hoped to give a hand for students to help them totally comprehend the mathematics knowledge, and increase the efficiency of study. With the rationalization of error gradually got the nod by people, more and more persons start to pay for close care to the problem errors of solving value of education.Conic section as the core knowledge in the plane analytic geometry is key and difficult points in the senior grade mathematics learning, it also is key points during the college entrance examination. But in fact, when the senior high school students study the conic section, they will make many mistakes. At the same time, in the process of solving relational problems about conic, they are producing all kinds of errors. However,domestic and foreign researches on the mistakes of solving, the lack of investigation and analysis of conic problem errors.. This research mainly adopts questionnaire method, interview method, examination paper analysis method, the application of Excel, research on investigation and analysis of conic problem errors for junior high school students.The thesis includes 6 chapters. The first is an introduction. The 1 chapter introduces the background and the meaning of study, coming up with the main problems and providing the basic structure of the thesis. The 2 chapter is literature review. It offered the writing guide by carding and summing up the research data that solving problems error.The chapter 3 focuses on research methods. This part mainly details the objects of study, teaching content, research approaches that are adopted as well as research tools; all these are selected by the paper. In addition, it also introduces the analysis framework of false mathematical problems which are used:knowledge errors, logical errors,strategic errors and negligence errors.The chapter 4 is solving investigation and analysis of conic problem errors for junior high school students. This part mainly uses the methods of questionnaire, interview and test paper analysis to investigatefrom two aspects. On the one hand is survey which high school teachers and students’ understanding of the problem errors of solving; on the other hand is classifying the errors in solving problems for junior high school students in the process of solving the problems of conic relevant, and analyzes the reasons that causes of different types of errors.The chapter 5 is the main strategies about correcting the errors of conic curve. For high school student’s the main errors that existing in conic,teacher should follow the principle of timely, objective and subjectivity when they correct students’mistakes, helping students set up the right view, focusing on theanalysis of errors, making distincti on different types of problem solving error,cultivating the good habitsofproblem solving errors,and guiding students to make good use of the wrong title. The chapter 6 is the conclusion and reflection. This part is summarizing the research conclusionaround the main problems that studied in this paper, pointing out the shortcomings of this study and the direction of research in the future.