Research On The Causes And Countermeasures Of Junior High School Students' Errors In Solving Round Chapters

In the process of mathematics learning,we can find the figure of plane geometry from all aspects of daily life,and we can abstract geometric figures from real life,so the study of plane geometry is very important.First,plane geometry is an important tool commonly used by people to reflect daily life.What is important is that plane geometry can help people understand space,abstract spatial positions,and explore spatial relationships.Second,in order to be able to conduct more in-depth exploration and learning of geometry,People need to use plane geometry as the basis of mathematics learning,and continue to learn.The thesis will carry out research on the knowledge related to circle in junior high school,starting from the knowledge point itself,starting from the students'problem-solving attitude and habits,to find common wrong question types and causes,and give related strategies to the problem of circle in this chapter.Through the questionnaire survey of junior high school students,this thesis aims to understand the influence of different factors on the students' learning of this chapter.For the test paper,the author through the in-depth analysis of the same type of problems in the test paper,using the data of zhixue.com to analyze the students performance,interviewing the students with the key problems,combining with the typical wrong problems,finds out the following reasons for the students' wrong problem-solving:the concept understanding is not in place or the concept is confused,the connection between knowledge points is missing,and the omission of knowledge points leads to logical errors;It is difficult to use the mathematical thinking method,incomplete analysis of test points and unclear methods,confusion of problem-solving thinking,insufficient application of reverse thinking and single mode of thinking,weak reading ability and key information extraction ability,incorrect connection of auxiliary lines or wrong expression of auxiliary lines,insufficient subjective initiative and unreasonable distribution of answering timeFinally,according to the specific types of questions,appropriate teaching strategies are given:Based on schema theory,help students distinguish concepts and establish connections;based on core literacy,strengthen the awareness of graphic language and symbols;based on activity experience mode,actively participate in problem exploration;based on mathematical thinking methods,cultivate students'thinking ability.Starting from the curriculum standard,we should establish the idea of model;guide students to think with questions and explore the process of modeling;explore the variant to deepen the understanding of concepts;infiltrate information technology to deepen the geometric intuition.We should correctly use teaching aids,standardize drawing and standard drawing,pay attention to the mastery of methods and accumulate problem-solving experience,select typical examples to master one problem and one class,correctly represent problems,extract key information and strengthen basic models,strengthen mathematics reading teaching and extract key information,establish point-to-point strong connection and quickly break through auxiliary lines,overcome difficult psychology and enjoy the fun of problem-solving,break through the reverse thinking and create more ways to solve problems.