The Research Of The Mathematical Understanding Teaching Based On The Transcendent Recursive Model

In the process of mathematics teaching,the study of students’ understanding of mathematical knowledge is a hot topic,mathematical understanding teaching has become one of the mainstreams of mathematics curriculum reform in China,and Transcendent Recursive Model introduced the process of mathematical understanding extremely detailed.Through the study of the Transcendent Recursive Model,we found that mathematical understanding is a dynamic and hierarchical process.In order to promote the level of students’ understanding develop to the next level,achieve the understandings of the mathematical objects and realize the understanding teaching,we can put forward the corresponding teaching strategies and provide new teaching model.In addition,the involvement of information technology which can promote effectively the occurrence of some understanding level and create a good classroom environment for understand teaching.This paper studies the mathematical understanding teaching through literature research,questionnaire survey and interview,case study and so on,and selects the teaching content of the conic curve as the concrete case.Firstly,through the literature analysis,questionnaires,interviews and other methods to investigate teachers’ opinion of mathematical understanding teaching,and find out the teaching status of the "conical curve".Then,based on the analysis of the current situation and related theories of the Transcendent Recursive Model and technology information,this paper is trying to provide direction of mathematical understanding teaching by studying and putting forward the corresponding teaching strategies and new instructional model.At last,this paper uses the teaching of "ellipse and its standard equation" as an example to illustrate the application of strategies and model.This paper combines theory and practice to provide suggestions for the effective implementation of mathematical understanding teaching.