The Application Research Of Mathematization Thought In Mathematics Concept Teaching

"Mathematization" refers to the process of using mathematical vision and means to transform,deal with problems and establish a mathematical system.Based on such educational and teaching theories as Freudenthal's mathematics education and teaching thought,Dutch Realistic Mathematics Education and Lange's concept mathematization education thought,"Mathematization Thought" has developed into a systematic educational theory.This theory consists of two main forms,namely,horizontal mathematization and vertical mathematization.The former refers to the use of emotional and non-formal means to deal with problem situations,and the latter refers to the process of logical deduction of the existing abstract mathematical objects.The two complement each other and progressively promote the occurrence of "mathematization".Combined with the basic idea and the core accomplishment of mathematics subject emphasized by the new curriculum reform,it has certain theoretical and practical significance to apply mathematization thought in mathematics concept teaching.Based on this point of view,on the basis of the existing research,this study systematically sort out the mathematical thought,and center on the mathematical thought,construct its application model in the teaching of mathematical concepts.The research take the function concept of high school as an example and carry out a complete teaching design and implementation.The research through classroom observation and video analysis,improved the concept teaching model under the guidance of mathematic thought and draw the following conclusions:(1)There is a strong connection and a high degree of correspondence between mathematical thought and mathematical concept teaching,so mathematical thought can be used to guide concept teaching.(2)Concept teaching under the guidance of mathematical thought should have three logics,four levels and five principles."Three logics" refers to the mathematical logic contained in teachers,students and teaching."Four levels" means that mathematization in concept teaching should go through four levels:situation level,abstraction level,induction level and form level,and form a mathematization concept teaching level model."Five principles" refer to the practical principle,activity principle,interaction principle,preciseness principle and reflection principle,which constitute a complete mathematical teaching model.(3)The mathematical concept teaching model can be used to construct an appropriate functional concept teaching model in high school.Based on the development of function concept,the knowledge system of teaching materials and the curriculum standards of high school mathematics,the whole teaching design is planned according to the teaching logic,and the function concept teaching problems are gradually overcome through the mathematic thought teaching principle.Finally,through further reflection on the theory and teaching practice to strengthen the understanding of mathematical concept teaching model,and put forward relevant suggestions.