Research On The Application Of Five Kinds Of Mathematics Thought In Junior Middle School Mathematics Problem Solving

In the process of learning mathematics,problem solving is extremely important for students and can be further improved by using mathematical ideas.According to the new curriculum,it is crucial to use mathematical ideas to solve problems.Therefore,the learning of mathematical ideas needs to be infiltrated in classroom lectures so that students can use the corresponding mathematical ideas in the process of problem solving and thus strengthen their problem solving skills.Moreover,the introduction of the Secondary School Entrance Examination(SSE)streaming policy is urgent for junior high school students to improve their performance,so it is crucial to improve their problem solving skills.After a lot of literature research and domestic and foreign scholars’ research,this paper uses various methods such as questionnaires,interviews,experimental comparisons and spss statistical software analysis in order to investigate the relevant problems in depth and propose effective solutions,firstly,the statistics of the application of mathematical ideas in the last five years of secondary school examinations,emphasizing the importance of mathematical ideas in solving problems in secondary school examinations.Then,we investigated the current situation of students’ use of mathematical ideas in problem solving in the internship school,analyzed and summarized the strategies of using mathematical ideas in problem solving,and further verified the effectiveness of the strategies by doing comparative experimental analysis.The focus of this paper is to select the mathematics test questions of the 2018-2022 Shaanxi secondary school examinations for the study,to derive the important problem solving ideas mathematical ideas at the junior high school level,and then to show the necessity of studying mathematical ideas,to analyze the current situation of developing the problem solving ability of junior high school students using mathematical ideas according to the questionnaire and to give relevant opinions on developing the ability of junior high school students using mathematical ideas to solve problems.This paper mainly consists of the following parts:The first part of this paper aims to explore the background of mathematical thinking the purpose and significance of the study,and the methodology and main elements used in this paper.The second part focuses on the relevant mathematical concepts and provides relevant theoretical support.while the third part focuses on the analysis of the application of mathematical ideas in the 2018-2022 secondary mathematics examinations,hoping that these contents will bring valuable information and guidance to the readers.In the fourth part,a questionnaire design,a status survey and analysis and individual student interviews were conducted.The fifth part conducts experiments on the teaching of mathematical ideas in problem solving in junior high school mathematics.Part VI presents strategies related to developing middle school studentsability to use mathematical ideas to solve problems.The seventh part concludes the paper.In the current state of education,the application of mathematical ideas has attracted the attention of teachers,but observing the actual classroom teaching teachers and students are not in place,most students are not very good at this area,so in the process of teaching the teacher’s guidance role is particularly critical to infiltrate and implement mathematical ideas to students to enhance the ability of students to use mathematical ideas,to understand the investigation of this aspect of the.This is why the teacher’s role is crucial in the teaching process,to infuse and implement mathematical ideas to improve students ability to use mathematical ideas,and to investigate the current situation of problem solving in this area,so that they can practice it in teaching.