Research On The Investigation And Cultivation Of Self-monitoring Ability Of Mathematical Problem Solving

With the continuous advancement of educational reform,autonomous learning ability has attracted more and more attention.Among them,self-monitoring ability is the key factor of autonomous learning ability.In view of the current situation of junior middle school students’ mathematics problem-solving self-monitoring ability,this study takes mathematics problem-solving self-monitoring ability as the research direction,explores the current situation of mathematics problem-solving self-monitoring ability of junior middle school students from a quantitative and qualitative perspective,and understands the specific performance of their self-monitoring ability,and put forward corresponding suggestions to provide theoretical basis for teachers’ daily teaching.This paper mainly adopts the methods of literature analysis,questionnaire survey,test,interview and vocal thinking,focusing on(1)how to construct the analysis framework of mathematics problem-solving self-monitoring ability of junior two students?(2)How to monitor the current situation of students’ self-solving ability in mathematics?(3)What is the specific performance of self-monitoring of mathematics problem solving of junior two students?(4)In view of the current situation,what strategies should be taken to better improve students’ Self-monitoring Ability in solving mathematical problems? And other issues.From the results of the questionnaire and interview,we can get:(1)The self-monitoring ability of mathematics problem solving of grade two students needs to be improved,and some students need to be strengthened in planning and will not make plans before problem solving;Students have the habit of managing information in problems,but they are still weak in the ability of mutual transformation of mathematical language and drawing;Many students have no inspection consciousness and lack of inspection ability;Students’ grasp of the problem is not enough,and their adjustment ability needs to be strengthened;Most students can not make a correct evaluation of their problem-solving,and there are still deficiencies in this regard.(2)The average value and total average value of excellent students in all dimensions are higher than those of medium-sized students,and medium-sized students are higher than those of poor students,indicating that the self-monitoring ability of students with good grades in solving mathematical problems is higher than that of students with poor grades,and there are significant differences.(3)Girls are significantly higher than boys in planning and management dimensions,and there are differences in other dimensions and overall,but not significant.(4)The weak self-monitoring ability of students in solving mathematical problems is reflected in the following aspects:(1)unclear problem-solving;(2)lack of basic knowledge;(3)unclear idea of problem-solving;(4)unable to characterize the problem;(5)unreasonable time management;(6)unable to adapt when solving the problem is difficult;(7)not knowing to re read the information in the problem;(8)unable to adjust their emotions;(9)not checking the problem-solving process and results;(10)unable to analyze the problem itself,problem-solving method Summarize the problem-solving process.According to the dimension division of self-monitoring ability of mathematical problem solving,the training outline is formulated to train the cases.Through the training of 3 middle school students and 3 students with learning difficulties for 5 weeks,we can get:(1)The mathematics problem-solving self-monitoring ability of middle school students and students with learning difficulties has been improved to a certain extent,and the improvement of middle school students is more obvious than that of students with learning difficulties.(2)From the perspective of dimension,middle school students improve more in inspection and evaluation,and students with learning difficulties improve more in management,inspection and evaluation.(3)At the same level,the improvement of self-monitoring ability of mathematical problem solving of boys is higher than that of girls.(4)Through training,the self-monitoring ability of middle school students in solving mathematical problems is still higher than that of students with learning difficulties.