A Practical Study On The Cultivation Of High School Students’ Reflective Ability In Solving Mathematics Problems

Problem solving reflection is the understanding and construction of problem solving process and method review,and it is an essential key link in the process of problem solving.But in the actual teaching process,problem-solving reflection has always been a weak point for students to learn mathematics knowledge.Many students do not reflect in the process of solving problems,do not have enough consciousness of reflection,do not have effective methods of reflection,to a large extent,do not get one-to-one professional guidance from teachers.Therefore,it is a very necessary practical research content to cultivate high school students’ ability of reflection in solving mathematics problems.This paper uses the method of literature research to sort out and summarize the relevant information about high school students’ reflective ability of mathematics problem-solving,deeply analyzes the current research situation at home and abroad,and finds the research space of this paper.At the same time,on this basis,it defines the concept and theoretical basis of this study,and provides theoretical support for the later research.This paper uses the method of questionnaire survey,selects all the students of class two and class three in the third middle school of Xiaoyi,Shanxi Province as the survey object,to understand the current situation of high school students’ mathematics problem-solving reflection.Then,it puts forward the strategies and measures to cultivate high school students’ reflective ability in solving mathematics problems,including creating atmosphere,using Polya’s prompts,setting up wrong questions and reflective diary,strengthening obedience and guidance,mastering essentials and so on.In this paper,the method of experimental research is adopted,and all the students of class 2 and class 3 in the third middle school of Xiaoyi in Shanxi Province are also selected as the research objects.After four months of research,the results of pre-test and post test are compared and analyzed.The results show that the results of post test in the experimental group and the control group are significantly different,which verifies the implementation of the strategy of improving the reflective ability of high school students in mathematics problem solving effect.Through this study,I hope to improve the teaching strategies for the front-line high school mathematics teachers,and improve the students’ ability of mathematics problem-solving reflection.