The Reasearch And Practice Of Pedagogy Of Variation In Mathematics Concept Teaching

This paper, first referring to some books about the concept of teaching, analyses the mathematical concept of the theoretical basis and the principles to be followed, with an example of concept type implement basic link. Some experimental methods are used to test the teaching effects of variable teaching. Finally,this paper proposes a number of recommendations to implement change teaching in the concept of teaching.The concept teaching is an important aspect of mathematics teaching. It is mainly divided into four stages:the introduction stage, analyzing the stage, the consolidation phase, and summary stage. But previous studies were more applied to the analysis stage of the concept and less to the other stages of concept teaching. The focus of the project is using variation in four stages of high school mathematics to provide some strategies for concept teaching.The main results of this study is as follows.Firstly, in the stage of concept introduction, according to the nature of the concept, from a realistic situation to the quasimathematical situations and then to the mathematical scenario the teacher design change situations or design variant title group to introduce the concept.,so as to let the students gradually recognize and then completely understand abstract mathematical concepts.Secondly, in the analysis phase of the concept, through the design of conceptual variation and external representation of variant, teachers let students understand and master mathematical concepts.Thirdly, in the consolidation phase of the concept, designing problems of variable types allows students to understand the concept further and use it through answering, variation and exploration so that students can achieve a thorough understanding of the purpose of the concept of cognitive structure.Fourthly, in the summary stage, design concept graphs, intuitively displaying the internal concept and internal relation to promote students’ concept system and itst formation. Drawing a kind of concept map from a different perspective is of much help in making knowledge context more clear.