Mathematics Concept Teaching In High School Based On Mathematics Abstraction Competence

Mathematics Core Competence is clearly put forward in the Standard of Mathematics Curriculum for Senior High School(hereinafter referred to as "17 Year Curriculum Standard"),in which mathematics abstraction is widely concerned as the first of the six mathematics core literacy.Mathematics concept is the cornerstone of building mathematics building and plays an important role in mathematics teaching.The formation of mathematical concepts is abstract:abstract essential attributes,generalized definitions and symbolic representations.Learning mathematical concepts is an important carrier to master the basic knowledge and skills of mathematics and cultivate mathematical abstract literacy.Therefore,it is necessary to study the teaching of mathematical concepts in senior high school based on mathematical abstract literacy.By consulting a large number of relevant literatures on mathematical abstraction,this paper has a new understanding of the concepts of abstraction,mathematical abstraction and mathematical abstract literacy.It also studies Bruner's discovery learning theory,Ausubel s meaningful learning theory,constructivism learning theory and other educational psychology theories and APOS theory of concept learning.Through the interview with senior high school mathematics teachers,we can find out the basic situation and problems of implementing mathematics abstract literacy in concept teaching.Based on the previous theoretical analysis and in-depth thinking,this paper puts forward some reference strategies for the problems existing in the infiltration of mathematical abstract literacy in concept teaching:fully excavate teaching materials and extract mathematical literacy;creating problem situations,abstracting mathematical problems;skillfully using the combination of numbers and forms to promote abstract generalization;using positive and negative examples to promote mathematical abstraction;Pay attention to conceptual connection,improve mathematical abstraction,etc.Combined with their understanding of the textbook and the concept of function,I have made a teaching design of "the concept of function".If these strategies are implemented in teaching for a long time,it should have a good effect on the development of students' mathematical abstract literacy.