Investigation And Research On High School Students' Awareness Of Mathematics Problems

“Mathematics problem awareness” is the mental state of criticism and exploration caused by cognitive conflicts in mathematical learning activities.This mental state coincides with the cultivation of high school students 'mathematical core literacy,the implementation of the student's subject status,requirements for students' problem ability in the new curriculum standard,and helps to cultivate students' innovative spirit and practical ability.Based on the 2017 senior high school mathematics curriculum standards,this article starts with the three dimensions of finding problems,asking questions,analyzing,and solving problems to investigate the status quo of senior high school students' awareness of mathematical problems.This article adopts a combination of qualitative and quantitative analysis research methods,mainly including literature analysis,interviews,surveys,and statistical analysis.The research process of this article: First,by reading a large amount of literature,books,periodicals,and so on,the author combed domestic and foreign research progress related to the development of problem awareness,and laid a theoretical foundation for investigating senior high school students' awareness of mathematical problems.Secondly,through interviews with eight mathematics teachers of Senior 1 and Senior 2 in Qufu No.1 Middle School,the author understands the status quo of the teaching of awareness of mathematical problems,as well as the influencing factors and training strategies of problem awareness.Then,under the guidance of relevant documents and questionnaires,the author combined with the results of teacher interviews to design and compile a questionnaire to test the senior high school students' awareness of mathematical problems.The author conducted a questionnaire survey on 400 students in Qufu No.1 Middle School,using IBM SPSS Statistics 19 software to statistically analyze the results of the questionnaires and obtain the results.Finally,combining the investigation conclusions and teaching practice experience,the author proposes targeted strategies to cultivate senior high school students' awareness of mathematical problems.The research questions in this article are:(1)What is the status quo of senior high school students' awareness of mathematical problems?(2)What are the reasons for the status quo of senior high school students' awareness of mathematical problems?(3)How to cultivate senior high school students' awareness of mathematical problems?The main conclusions of the study are:(1)Senior high school students' awareness of mathematical problems is generally weak.There is no significant difference between first grade and second grade;there is no significant difference between boys and girls;The average grade of students in mathematics is related to the level of awareness of mathematical problems.(2)Senior high school students are weak in finding problems and have the ability to correctly characterize problems;senior high school students are weak in asking questions and have fewer opportunities to ask questions;senior high school students are less conscious of using mathematics to solve practical problems,and have less reflections and conclusions on problems.(3)The main factors affecting the consciousness of mathematical problems in senior high school students are: Chinese traditional culture,teacher's teaching mode,education concept,learning atmosphere,students' own factors(self-confidence,knowledge reserve),and so on.Training strategy:(1)Giving play to the leading role of teachers,including: creating problem situations,conducting inquiry teaching,setting up extracurricular mathematics research groups,setting up open assignments,promoting "interesting" thinking,focusing on training students' "mountain climbing" spirit,conducting diverse evaluation ways,and improving your literacy.(2)Respect students' subjective status,including autonomous learning,cooperative learning,and inquiry learning.(3)Building a beautiful and harmonious teacher-student relationship;(4)Create a strong learning atmosphere.