Mathematics is a subject closely related to life.The study of mathematics subtly cultivates individual thinking,so that people have more rational thinking and can think more comprehensively.With the advent of the era of big data,people are required to have higher mathematical literacy.As an important means of cultivating students' mathematical literacy,problem solving has always been valued by the mathematics teaching community.Improving students' problem-solving ability has always been an important education goal.The purpose of this paper is to understand the current situation of middle school students' problem-solving ability and the teachers' problem-solving teaching situation,and put forward relevant strategies for cultivating students' problem-solving ability and improving teachers' problem-solving teaching ability through research.This article takes Urumqi S middle school students as the survey object,and designs the content of the questionnaire based on Polya's four-step problem-solving method.The questionnaire is used to understand the status quo of students' problem-solving ability.It is found that students are weak to find the key information and to express the problem in another way when they analyze the questions.At the stage of formulating the plan,students lack the ability to learn from the problem-solving experience.When having difficulties in problem-solving,they have poor performance to re-examine the known conditions and re-think the related correlation theorem of the problem.At the stage to carry out the plan,students have a weak ability to use other methods to verify the answers.On the whole,students are short to summarize and reflect after solving the problems,especially to summarize and reflect the problems at a regular time.In order to further understand the current situation of students' problem-solving abilities,the test papers are designed by selecting the addition and subtraction of the integral form in the first grade and combined with the SOLO classification and evaluation theory to evaluate the students' problem-solving ability.It is found in the test: students show a low level of ability in the basic concept of integral expression and the part of removing the parentheses in the integral calculation.In addition,it is necessary to strengthen the cultivation of mathematical thinking methods,and pay attention to the standard writing of problem solving and the inspection after solving the problem.In order to make the strategy more comprehensive,6 first-line teachers from S are selected to conduct interviews.During the interview,it is learned that students cannot grasp the principle of problem-solving well,cannot reasonably use conditions,lack problem-solving thinking and clear ideas,and cannot make good use of mathematical thinking methods to solve problems.Through investigation and research,this article puts forward relevant strategies for cultivating students' problem-solving ability and improving teachers' problem-solving teaching ability.By integrating the strategies into practical teaching,it is found that students' problem-solving ability is obtained through a period of practical teaching.It has indicated that the strategies proposed in this article are helpful to the improvement of students' problem-solving ability.From the practical part,researching the current situation of students' problem-solving ability is good to help teachers understand the weak links in the process of problem-solving of students,help teachers cultivate students' problem-solving ability,and provide some reference for teachers in teaching.From a theoretical point,it enriches relevant research on problem-solving ability training and problem-solving teaching. |