Junior School Students Understanding The Process Of Mathematical Theorems

One of the four basic foundations of a lifetime education is "learning to recognize",which is at the heart of learning to understand when it is applied in the area of mathematical education.Understanding is an important objective of mathematical teaching,and the understanding of mathematical theorems is an important aspect.Understanding express effective cognitive structure as well as describing the characteristics of the object and the cause,explaining the difference between the object and others.The model of self-learning initiated by du Langkou middle school is characterized by "preview-presentation-feedback".The teacher is a guide of the students' learning and the students are main activists in the classroom,which the students are fully engaged in the initiative of the student self-study.I have researched the students' understanding of mathematical theorems by the grounded theory and classroom observation in Du Lang middle school.In the study,I first started coding the original data first,making the data more conceptual.Secondly,the conceptual data is focused on the second stage,and the conceptual data is abstracted.Then the hypothesis is made by the main shaft encoding;finally,the theoretical explanation is obtained by using the three-level selection encoding.According to the study,the students' understanding of the mathematical theorems will be improved by the "three speaches" in the course of the lecture.The students' understanding is more comprehensive when the students' thought is more comprehensive.The students' understanding is more precise when the students use more knowledge about the theorem in detail application.The students' understanding is deeper when the students expand the problems more depth and the students has their own unique thinking.In the teaching process of Du langkou middle school,“three speaches”is both the express and reply of the process of students' understanding,while it is theway of promoting the students' understanding.This is a discovery and innovation of my study.