Investigation And Analysis Of The Errors In The Dynamic Geometry Of Junior High School Students

Study is a process of trying or making mistakes constantly, It's inevitable that all of us will be wrong, also, it shows that we have the space to improve. In the mathematics learning, It is a normal phenomenon that the students make some mistakes during the process of solving problems. The rationality factors of solving-mistakes are affirmed by more and more people, some researchers and first-line teachers are paying attention to the education value of it.Dynamic geometry, which is linked with the concept of geometric intuitive closely. It is a important content that can check the students' comprehensive abilities and thinking levels, of course, which is difficult for junior school students to study and for teachers to breakthrough the bottleneck. That's all due to its own characteristics. Through the method of analyzing literature, testing, questionnaire, interview and so on, this study reclassifies dynamic geometry problems, investigates and analyzes the junior school students' solving-mistakes and reasons according to the corresponding categories. All of the study is in order to provide some references to correct solving-mistakes and to teach better than before. That way, it is valuable.By analyzing the teaching outline, teaching material, examination of the maths exam outline, test paper about the content of the dynamic geometry, author is dividing the dynamic geometry problems into five basic types, namely, rotary type, folding type, moving point (single, multiple) type, moving line type, moving graph (triangle, circle, square) type.Through analyzing the results of the test, questionnaire and interview, the author summarizes the type of solving-mistakes as examining the topic mistakes, drawing mistakes, judging with subjectivity, lacking of logic reasoning, dealing with moving and stilling mistakes, classifying and discussing mistakes, calculating mistakes. The appearance of these mistakes, that's owe to the following three dimensions, just like the characteristics of dynamics geometry problems, the influence of abnormal psychology, the factors of solving problems.As far as the junior school students' solving-mistakes of the dynamic geometry, teachers should strengthen the students' basic knowledge while teaching or correcting, change the students' attitude and emotion of learning dynamic geometry, change the students' attitude of the mistakes during the process of solving the dynamic geometry problems, cultivate the ability of examining the topic, strengthen the module-teaching of some typical questions, cultivate the students' habits of examining, rethinking, and summing.