Research On The Wrong Questions Of Junior High School Students Based On The Process Of Mathematical Problem Solving

The mistakes students made in the process of solving problems always run through the whole process of student learning.It not only affects the interest of students,but also affects the efficiency and performance of students.For the development of students,teachers need to regard mistakes as a kind of generative resource and turn "wrong" into treasure."Problem solving" has always been a hot topic in the world,American mathematicians declared:"The problem is the heart of mathematics." Mastering mathematics means being good at solving problems.Problem solving is the most basic and most important form of activity in mathematics teaching.In this paper,by consulting the domestic and foreign literatures on the problem of solving problems,the authors have mainly studied the understanding,reasons and strategies of the mistakes students made when solving problems.This paper is based on the teaching model of Polya’s "How to solve the problem" table.The students in two classes in a rural junior high school are surveyed.The questionnaire survey method is used to understand attitudes and habits that students have.Reasons such as knowledge,ability,and subjective initiative are concerned.In order to further understand the students’ problem-solving errors,the author concludes that the students have errors in the course of the examination through the test and interview of the knowledge module of the secondary function of the students:understanding errors;attitude errors;quality Sexual error;wrong thinking.The reasons of the errors in the implementation process are:the foundation is not solid,which leads to conceptual knowledge errors;the computing power is not strong,the computational procedural errors appear;the thinking is not strict,so that problems are comprehensive and wrong;the ability is flawed,so that structural analysis sexual errors appear.The reasons for the mistakes in the review process are:the lack of practical meaning;the lack of doubtful thoughts;the lack of test habits.Studying the reasons of problems,the author also thinks about how to help students make fewer mistakes.Therefore,according to the above reasons,the corresponding error correction strategies are proposed:1.Firmly master the basic knowledge.How to make the basic knowledge of students more secure?The author believes that it can be solved form the following aspects,from the cultivation of interest,stimulate knowledge craving;intuitive teaching,promote knowledge understanding;concentrate on refining,consolidate the use of knowledge;strengthen construction,form a knowledge system.2.Try to improve your thinking skills.In teaching,the students’ thinking ability is mainly improved through the variant teaching method:Make the subject changeable,the broadness of thinking will be broadened;when solving the multiple questions,the training thinking is profound;Make the problem changeable,and the flexibility of thinking is improved.3.Cultivate to form various habits.Good habits are the cornerstone of student success.Teachers can cultivate students’ habits of reading questions,habits of reflection and habits of testing.In the problem solving process,the factors of the errors can be divided into three stages.The error correction strategies proposed by the students in this paper have certain practical value,which can provide reference for teachers to check and correct errors in teaching practice,and also for students,it can help build self-confidence in learning effects will be obvious.