Research On High School Mathematics Lectures That Expose Students' Thinking Processes

High school mathematics evaluation is an important method of information contact and feedback between teachers and students, which can fulfill the knowledge vacancy, consolidate the foundation and conclude experience. But in real teaching, both teachers and students show no interests in commenting classes. The reason is that teachers' autocracy does not make the students' thought fully exposed. In order to change the current situation, as mathematics teachers working in the first-line high school, we must have in-depth study and make a bold attempt in commenting class so that students' thinking could be exposed and efficiency improved. Therefore, the exposure of students' thinking lesson is studied.This article is divided into five parts:The first part, according to the importance of commenting class and the research value of students' thinking exposed in commenting classes, explains the research background and the research significance.In the second part, the concept of students' thinking is clearly defined, leading to conclusion that to expose students thinking plays an important role in commenting class. It puts forward the theoretical basis of students' thinking. After researching about the related files, the author finds that more and more attention has been paid to students' thinking exposed in math classes. However, research targeting to students' thinking in exam paper commenting classes is barely mentioned. Despite pure theory, we need more practice and exact samples as reference.The third part is mainly to research students' thinking actual status exposed in high school mathematics class and make analysis based on it. It is found that before the commenting class, students' thinking is not sufficiently researched. Worse still, strategy of students' thinking exposure in commenting class is not comprehensive, which provides the relevant practical basis and reference data for this paper.The fourth part, on the basis of the above researches, puts forward the principles of topic selection of students' thinking which they make in commenting classes. Their main consideration is the difficult degree of the subject and its topic type. We will present actual analysis based on the concrete analysis. In the commenting classes, students' thinking exposure could not be limited within just 45 minutes' class time, but also exposed in exam, revising, commenting, correcting and feedback. Therefore, we bring forward related solutions targeting to students' thinking exposure in different steps of commenting classes. Then, based on the author's personal experience to teach the first round study to Grade 3 students in senior high school, the author puts forward the strategy to expose students' thinking as follows:(1)Based on steps of problem solving, make the thoughts significant.(2) Make the thoughts structure significant based on feedback exposure;(3) Make the thoughts focusing significant based on details exposure;(4) Make thoughts sharing significant based on discussion exposure;(5) Make the thoughts movement significant based on development core. This chapter is the most important part of this article, which is innovative.In the fifth part, the micro experiments of commenting on papers was carried out in order to observe if the students' thinking was improved and to check if the students' ability in solving similar problems is developed or not. Through the statistics, analysis and comparison of the experimental results, it is indicated that it is helpful to improve the efficiency of the class study and teaching by exposing class students' thinking process.Finally, summarizing the research results, we should point out the innovation and deficiency. Moreover, future research needs to be further improved.