Research On The Thinking Obstacles Of Junior High School Students In Solving Dynamic Geometric Problems

The curriculum standards for junior middle school compulsory education(2011)pointed out that the change of requirements for the development of students' dynamic geometric thinking level has aroused widespread concern.The dynamic geometry problem is a kind of problem which closely follows the course standard and can well investigate the students' comprehensive quality.The process of solving any problem is bound to have a thinking process,problem solving is a form of thinking,thinking obstacles,will inevitably affect the effect of problem solving.In this study,the process of solving dynamic geometric problems can be divided into four stages,namely,clarifying the problem,formulating the plan,implementing the plan and reviewing and reflecting,according to the theory of how to solve the problem and cognitive processing psychology.First of all,according to the test and investigation of students' thinking disorder test paper for solving dynamic geometry problems,there are six main thinking disorders in different stages of thinking process:comprehension thinking disorder,selective thinking disorder,methodological thinking disorder,stereotyped thinking disorder,organized thinking disorder,and reflective thinking disorder.The results show that :1.In the process of solving dynamic geometry problems,the students of grade 3 generally have mathematical thinking disorder,among which the comprehension thinking disorder and the organized thinking disorder have the greatest influence on the students' problem solving.2.There is a difference in the frequency of thinking disorder between excellent students and poor students,but there is no significant difference in the proportion of thinking disorder frequency.3.Boys and girls have differences in thinking disorders.Boys are more likely to have organized thinking disorders,while girls are more likely to have comprehension thinking disorders.Then,based on the investigation results of the current situation of students' thinking disorder in solving dynamic geometry problems,the difficulties of students in solving dynamic geometry problems were investigated from the perspectives of students and teachers,and the inducing factors of thinking disorder in each stage of solving dynamic geometry problems were analyzed.Finally,Suggestions are put forward from the two aspects of teachers and students:1.In the process of teaching,teachers can help students to eliminate the thinking barriers at the stage of making clear the questions,which can change students' emotional attitude towards learning dynamic geometry problems.Strengthen the teaching and training of basic skills of dynamic geometry.Teachers can guide students to form a good mathematical cognitive structure,consciously improve the quality of students' thinking,and teach students to master some basic problem-solving strategies.In order to eliminate the thinking barriers in the planning stage,teachers can use modern educational technology to increase the intuitiveness of dynamic geometric changes.Teachers help students to eliminate the thinking barriers in the stage of retrospection and reflection.2.In addition to strengthening the accumulation of basic knowledge,experience and mathematical thinking methods,it is more important for students to develop the habit of summarizing and reflecting on such questions.