A Study On The Influence Of Application Problem Statement Methods On Pupils' Problem-solving

The application problem is the important and difficult content in the primary school stage.At present,researchers mainly analyze students' behavior in solving application problems from the perspective of mathematical knowledge application and language understanding,and put forward two theoretical models.Among them,the language understanding model points out that,the way of language statement occupies an important position in practical questions.In the process of solving practical problems,primary school students often have difficulties in the stage of language understanding,that is,they cannot understand the statement of the problem correctly.The way of problem statement has a big influence on the solution of applied problems.The reason why many students make a mistake in solving the problem is that they can't understand the statement of the problem correctly.Elementary school mathematics teaching material Some potential relationships are not directly expressed.In order to solve the practical problems correctly,it is necessary for the problem solver to make certain degree of reasoning which increase the processing burden of people who understand the questions.Rewriting statement is to change the problem of standard statement on the basis of the original application problem,to express some relations hidden in the application problem directly,so as to lighten the burden of cognitive processing of the problem solver.Achieve the goal of reducing the difficulty of the problem.Proper rewriting of the presentation of applied problems can help students solve problems better.Using text analysis method,investigation method and interview method,the paper classifies the statement methods of applying questions into two categories:standard statement and rewriting statement,in which rewriting statement is divided into rewriting language expression,rewriting digital expression mode and rewriting quantity relation.Take the students in the second stage of primary school as the research object,this paper makes a comparative study from the angles of grade,gender,academic achievement and so on,and investigates the different ways of expression in different languages respectively.The influence of different numerical expressions and quantitative relationships on students' solving practical problems.It is found that in the process of applying the problem solving:in the process of solving applied problems,it is helpful for students to rewrite the language expression of applied problems.Students are relatively unfamiliar with the application problems of rewriting digital expressions,so the scores of problem solving are lower than those of standard statements,and the influence of rewriting quantitative relations on students' problem solving is not obvious.According to the conclusion of the study,the following proposes are put forward for the teaching of applied problems:firstly,changing the language expression of applied problems to enhance students' comprehension of applied problems,secondly,adding the application questions of Chinese numeral presentation mode appropriately,and improving the students'understanding of applied problems by changing the language expression of applied problems.Thirdly,the students with different academic achievements should be taught with different application problems,and finally,teachers should adopt the practical and life-oriented applied problem presentation to enhance the connection between mathematics and life and mathematics knowledge.