Research On Cultivation Of Habit Of Reflection On Mathematics Mistakes Among High School Students

At present,China is comprehensively implementing quality-oriented education to develop students’ core literacy.As a basic subject,mathematics is the foundation of both natural science and high technology.The development of mathematics is rapidly changing the face of science,and it plays an irreplaceable role in cultivating talents.Thus,the teaching of mathematics is widely concerned.For students,learning mathematics is not only to obtain mathematics knowledge,but also to cultivate the core literacy of mathematics.Solving mathematical problems is very important in the process of learning mathematics,while students inevitably make some mistakes.These mathematical mistakes are meaningful and exist in mathematical learning in a rational,unique and regular manner.Although mathematical mistakes can reflect students’ learning deficiencies,help students make up for the deficiencies,and feed teaching effects back to teachers,today’s high school students only make simple corrections and can’t deal with them well,so that they may make the same mistake again and again.Due to inadequate reflection and analysis,the habit of reflection on mathematical mistakes cannot be cultivated.Dutch mathematician Freidenthal believes that reflection plays a very important role in mathematics.Only by continuous reflection on the world can digitization be achieved.Therefore,for high school mathematics,the habit of reflection on mathematical mistakes is a learning method that needs to be cultivated in high school.This paper understood the research results of domestic and foreign scholars on mathematics mistakes and reflective learning by the literature method,which lays a theoretical foundation for this paper.Then,some students and teachers were investigated in the second grade of a high school in Jilin Province.Questionnaires were distributed to the students to learn about their current reflection on mathematical mistakes,and to conduct an analysis according to the results By observing the reflection of students in class,we could understand the attitude of different students towards mathematical mistakes and the degree of reflection on mathematical mistakes,so as to further search for the factors affecting the habit of reflection on mathematical mistakes among high school students.Next,through conversations with teachers of different teaching ages,it was possible to understand the current situation and affecting factors of teachers to cultivate the habit of reflection on mathematical mistakes among high school students.Finally,by sorting out and analyzing the results,the problems in the cultivation of the habit of reflection on mathematical mistakes among high school students were summarized from the perspectives of teachers and students respectively.Teachers: low level of attention,outdated teaching concepts,and insufficient supervision and guidance.Students: weak awareness of reflection on mathematical mistakes,lack of perseverance in reflection on mathematical mistakes,shallow reflection on mathematical mistakes,and lack of reflection strategies on mathematical mistakes.Based on the above research results,this research gives strategies for cultivating the habit of reflection on mathematical mistakes among high school students.Teachers should emphasize on reflection on mathematical mistakes and supervise students to develop an effective habit of reflection on mathematical mistakes.Students should establish a good concept of reflection on mathematical mistakes,cultivate good reflection strategies on mathematical mistakes,deepen the degree of reflection and avoid shallow reflection.This research is to cultivate the habit of reflection on mathematical mistakes among high school students,so that with a deep understanding of the value of mathematical mistakes,students can actively reflect on mathematical mistakes,improve mathematics performance,and develop thinking,while teachers can improve their abilities to acquire knowledge.