A Study On Error Causes And Countermeasures Of Plane Geometry Problem-solving Of Junior High School Students'

Geometry is a course concerns time and space of math.It's a multi-faceted unity that combines the concrete and the abstract.It is one of the significant courses of mathematics in junior high school.Plane geometry-learning on one hand contributes to conducive to students of spatial imagination.deductive reasoning skills and logical thinking ability,on the other hand it gives students a sea of learning difficulties.We all know that the abstract of geometric concepts increase the difficulty of understanding;hard to grasp the standardization of geometric terms;the complex graphics analysis and the difficult to form the logical reasoning ability.If students do not break through these barriers,they will make mistakes in solving problems.The researches on Errors of Plane Geometry Problem-solving of Junior Middle School students are still rare in domestic.This article based on the theory of Polya's theory,metacognition theory,constructivism theory etc.,combine with the data and paper questionnaires.The author got a conclusion after summarized the outcome,then analyses the reason of errors,the countermeasure to avoid them and make some constructive teaching strategies on Plane Geometry Problem-solving.by using One-way analysis of variance,The results of this article prove that,there were no significant differences in terms of gender during the process of learning Plane-geometry in junior school,there were dramatic differences in thinking,logic,reasoning and understanding.While will,interest,methods,habits,psychological and metacognitive affect the accuracy of students' problem-solving.From the results of the test questionnaires,students have the lowest correct rate in openness-exploration geometric problems,about 34.3%.They also gained the second lowest correct rate in Geometric-proofs problems,about 43.5%.The author analyzes the solving-problems process,the typical errors and the combination of interviewing students,to get the conclusion that the reason of errors.The errors can be classified as knowledge,thinking errors,logic errors,reasoning errors,metacognitive errors and non-cognitive factors.For solving errors of students',this paper put forward the following coping strategies:using forms to help students inducting knowledge;using Mind-mapping to help students transferring knowledge;using Polya's theory to help students unlocking thoughts.The strategy of figure out thinking errors caused by the geometry;to develop better problem-solving abilities;to eliminate logic error by using Schema method.Assisting students to distinguish the condition and conclusions of the proposition,to correct standardized of format and make rationale clearly,etc.