Research On Plane Analytic Geometry Problem Solving Error Based On Newman Theory

It is inevitable that students will have problem solving errors in the process of mathematics learning.However,in the specific teaching,we hope that students can master the knowledge more comprehensively,and there should be as few problem solving problems as possible when solving problems.Plane analytic geometry knowledge is highly integrated in high school mathematics,rich in mathematical thoughts,and plays an important role.Especially the conic curve test questions often appear as a comprehensive problem of mathematics for college entrance examinations.Students often expose many problems when solving problems,and various solutions appear.Therefore,using plane analytic geometry as the carrier,the students' errors in the process of solving problems,systematic attribution,identification and classification of errors,and the measures to effectively avoid or correct have certain teaching reference value.This article specifically takes compulsory 2,elective 1-1(literature),2-1(science)and 4-5 medium-plane analytical geometry as the carrier,Newman's problem-solving analysis theory,Weiner attribution theory as the theoretical support,combined with the literature Analytical methods,questionnaire survey methods,questionnaire test methods,interview methods and other research methods were used to test,questionnaire and interview students in Xining City.The reliability and validity test and analysis of the data by SPSS(20.0),and the conclusions are as follows.The most common problem occurs when students solve the problem of plane analytic geometry,that is,they can understand the meaning of the problem,but they can't find the correct problem-solving strategy.Secondly,they can find the correct problem-solving strategy,but they can't calculate correctly.the types of problem-solving errors that often occur have neglected implied conditions,the nature is ambiguous,the computing power is poor,the calculation errors,the logical thinking is not rigorous,the classification discussion is not strict,the problem-solving strategy is improper,and the model cannot be correctly modeled;The main factors that cause errors in solving problems are intellectual factors,psychological factors and external factors;Students are more inclined to attribute the problem of problem solving to internal and controllable factors in attribution.Based on the above research conclusions,the author puts forward suggestions for students and teachers from the correct view of problem solving errors and systematic and effective correction of problem solving errors.