The Research On Students’ Performance In Solving Problems Of Axially Symmetric Figure In Junior Two

According to the mathematics curriculum standards on compulsory education in2011edition, the curriculum consists of “number and algebra”“graphics and geometry”“statistics and probability”“comprehensive and practice”. Studies have shown thatgeometry is one of the most difficult subjects for middle school students. Especially forstudents in junior two, they always have poor performance in learning axially symmetricfigure. In view of this，the research here intends to investigate the phenomenon in depth.During the course of study, an examination was taken to measure the students’ level insolving the related problems. With the answer sheet and the students’ review, I can betteranalyze the real performance and the kinds of mistakes of them. What’s more, taking themathematical psychology into account, a questionnaire survey was applied to measure thestudents’ motivation and meta-cognition. In this way, the explanation provided can be moreaccurate and comprehensive.With all these methods, I get the conclusion that the main obstacles and difficulties insolving problems of axially symmetric figure for students in junior two can be divided intofour categories:1. The students may misunderstand the related concepts and theorems.2.With the help of intuition, students cannot make a proof correctly.3. In solving theproblems, students prefer to prove congruent triangles instead of using theorems of axiallysymmetric figure.4. The awareness of checking the answer and monitoring the process ofproblem solving is lacked, thus some low errors can be made. Based on this conclusion, Iput forward some strategies to solve the problem for reference.