An Investigation And Study On Problem-Solving Obstacles In Integral Expression Of Junior School Student

The "integral expression" learning in the compulsory education stage is a turning point for students' mathematics learning.It is another milestone in the study of algebra after students have completed the study of "letter-representing numbers" and "rational numbers".It is also the core knowledge of "Number and Algebra" in Compulsory Education Mathematics Curriculum Standard.At the junior high school level,a main line for students to learn "number and algebra" is:number?formula?equation?function,so it can be seen that "integral expression" plays an important role.But on the other hand,because integral expression are more abstract than the operations of rational numbers,and the amount of operations is often more complicated,it is also a learning content where students are prone to learning disabilities.George Polya once said,"There is no perfect solution to a problem,and there is always something worth exploring." Obviously that problem solving is the core of mathematics.The conversion of students with learning difficulties is a challenging problem that every mathematics teacher will face in daily teaching.It is also one of the topics of concern in the mathematics education community.However,the existing research on students' whole problem solving obstacles often only focuses on a single type of error,and there is less research on deeper content such as error factors and the conversion of problem solving obstacles.The research object selected in this paper is a class of all students in a junior high school randomly selected from a junior high school in H City,East China.This sample ranks tenth in overall math scores,with 23 classes in the whole grades(based on the most recent mid-term exam).First consult relevant literature and communicate with front-line teachers and relevant experts to determine the possible factors that affect students 'learning disabilities.Based on this,compile and distribute test papers for junior high school students' learning problem solving problems and analyze the test results.Summarize the types of students 'problem-solving problems,attribute the types of errors,and give three manifestations of junior high school students' problems with problem-solving problems(memory disorder,mental retardation,and slow problem solving).Then conduct case studies.First,the sample is screened,and non-intelligent factors(emotional stability,will quality,mathematical learning interest,learning attitude,learning method)are tested.Then,the impact of non-intelligent factors on junior high school students' problem-solving obstacles is studied.The method of sampling survey selects a representative part of the research subjects to conduct unstructured interviews and explore the impact of more external factors on students 'obstacles to the problem-solving problem.Based on the research results,this article combines the teaching practice of front-line teachers to summarize the junior high school students' classification.Transformation strategies for solving obstacles for practical teaching of math teachers Learn to give actionable strategies to help teachers be problem-oriented and make up for students'shortcomings.The study found that the factors that affect students' integral expression solving problems are multi-faceted and comprehensively affected results.For students with integrated problem solving or even mathematics learning disabilities,the first task is to find the cause of the problem,which is targeted.At the same time,active and effective mental health education,quality education,and the improvement of teachers' professional ability and the improvement of the family environment are also one of the means to solve the problem.