Research On The Infiltration And Application Of The Thought Of Symbolic-graphic Combination In Junior Middle School Mathematics Teaching

Mathematics is the study of quantitative and spatial forms of science.The aim of mathematics education is not only to impart basic knowledge and skills to students,but also to cultivate their excellent cultural and ideological background,so as to improve the level of thinking and problem-solving ability.The symbolic-graphic combination solves mathematical problems by making use of the connection and transformation between numbers and forms.It is a bridge between algebra and geometry,and is helpful to the double development of students' abstract thinking and image thinking,is one of the most important ways of thinking in mathematics.On the basis of studying the related literature and combining with the practical experience of mathematics education in junior middle school,this paper makes a corresponding theoretical research on the thought of symbolic-graphic combination,and carries out in-depth practice according to it.First,we use the method of literature analysis to sort out the textbook of Junior Middle School Mathematics published by Jiangsu Education Press.It is found that there are a lot of knowledge points about the combination of numbers and shapes in the teaching material.As a whole,the arrangement of the thinking method of combining numbers and shapes is spiraling upward,and it deepens and broadens in difficulty and breadth.Then,according to the junior middle school students' understanding and mastery of the thought and method of combining numbers and shapes,and the teachers' teaching situation of the thought and method of combining numbers and shapes in daily teaching,a questionnaire survey and an interview were conducted,the survey results show that teachers have a certain understanding of the connotation of the thought method of combination of numbers and shapes,and teachers teach the thought method of combination of numbers and shapes more often in exercise classes,most of the students have a certain degree of application consciousness.Based on this,the number of junior middle school students combined with the ideological method of teaching,this paper puts forward the Trinity teaching strategy and method of infiltration in the new teaching,consolidation in the exercise class and induction in the review class.Finally,according to the teaching strategy design and implementation of the relevant cases,and the implementation of the case was summarized and thinking.Finally,the author has carried on the introspection to the question which discovered in the research,hoped this research can have the certain instruction significance in the theory and the practice.