A Research On The Teaching Of High School Mathematics Problem Solving Based On Polya’s Idea Of Problem Solving

According to the requirements of the new curriculum,vector plays an important role as a bridge connecting algebra and geometry.However,because students need to take selective exams,many schools do not teach students relevant knowledge in high school classes,so it is urgent to train students to solve vector problems.In this paper,based on the problem solving thought of Polya as the core,using literature research method,questionnaire survey method and interview method,gives the strategy to solve the vector problem,so as to improve the core quality of mathematics of students.First,investigate the students’ problem solving status;Secondly,the solution strategy is given by combining the problem solving thought of Polya with vector problem solving.Finally,the strategy is applied to solve the mathematical modeling problem,and the teaching case is given.Results of the study:(1)Current situation of students solving vector problems(2)Solving strategies for vector problemsStep 1: Understand the topic.Understand the numbers and symbols in the question;Analyze the data in the question;Dig for implicit conditions in the question.Step 2: Make a plan.The known conditions in the topic into the corresponding mathematical knowledge,and have learned knowledge to establish a connection.Step 3: Implement the solution.Using the idea obtained in the second step to solve the vector problem,the calculation process is accurate,the steps are correct and the sequence is proper.Step 4: Review.Check the process in step 3 and see if there is a different way to solve the problem than in step 3.