Research On The Application Of Transforming Thought In Junior High School Geometry Problem Solving

The standard of compulsory education mathematics curriculum(2011 Edition)points out that "mathematics course includes not only the results of mathematics,but also the formation process of mathematical results and the mathematical thought methods contained in it.".As the most basic thought method of middle school mathematics,the thought of transformation plays an important role in training students’ mathematical thinking and improving their ability to analyze and solve mathematical problems.In this study,closely linked to the requirements of the new curriculum standard,using questionnaire survey,testing,interviews and other methods to study the application of transforming thought in junior high school students’ geometry problem solving.This study first combines a large number of literature,analyzes and combs the strategies of the junior high school geometric problem solving,and summarizes the common strategies of the geometric solution.Taking the eighth grade students as the survey objects,through questionnaires,test papers and interviews,this paper deeply understands the current situation of the application of reductionism in geometry problem solving of junior high school students.According to the survey results,this paper analyzes the problems and influencing factors of the application of reductionism in geometry problem solving of junior high school students,and puts forward some teaching suggestions on infiltrating reductionism in geometry problem solving teaching of junior high school,and through specific teaching cases are analyzed and explained.The main conclusions are as follows:1.Junior high school students’ consciousness of applying the thought of transformation to solve geometric problems is generally not strong,and their ability is also generally low.There is no significant difference between male and female students in the level of applying the thought of transformation to solve geometric problems.There is a significant difference between excellent students and poor students in the level of applying the thought of transformation to solve geometric problems.The level of transformation thinking of excellent students is significantly higher than that of poor students.2.The main factors that affect junior high school students to solve geometry problems by using the thought of transformation include students’ original mathematical knowledge structure,problem-solving habits,metacognition level,and mathematics teachers’ teaching concept and teaching methods.3.Junior high school students’ geometric intuition,spatial concept,reasoning ability and the level of model thinking play an important role in solving geometric problems by using transformation thinking,which directly affects the development of transformation thinking.