Mathematics Concept Teaching In High School In The Context Of Mathematics Abstraction Literacy

Mathematics abstraction is one of the most essential features of mathematics.In the six mathematics core literacy proposed in the Ordinary High School Mathematics Curriculum Standards(2017 Edition),the first one is mathematics abstraction literacy.Mathematics concept is not only the basic structural unit of mathematics thinking,but also the foundation of mathematics proposition,reasoning and argumentation.The most important steps in the formation of mathematics concept are abstracting essential attribute,generalizing definition and mathematics symbol expression.Learning mathematics concept is the prerequisite for mastering the basic knowledge and basic skills of mathematics,developing logical reasoning and spatial imagination,and developing mathematics core literacy.So it is the most important task in mathematics teaching.This thesis studies the teaching mode and the strategies of mathematics concept teaching in high school under the background of mathematics abstraction literacy.The thesis firstly uses literature analysis,questionnaire,statistical analysis to investigate the present mathematics abstraction literacy situation of high school students in Hubei Province,and puts forward the performance inadequacy and problems of mathematics ion literacy of high school students in Hubei Province.Then based on the APOS theory of concept learning,the multi-representation learning theory and the conceptual variant teaching theory,the thesis proposes an integrated concept learning mode.To enhance students' mathematics abstraction literacy,the thesis proposes some teaching strategies which are creating diverse situations to provide perceptual material,using number-shape combination to promote abstraction and generalization,emphasizing positive and negative discrimination to raise symbol sense,combining mind map to construct conceptual scheme.To test the feasibility and effectiveness of the above mathematics teaching strategies in the development of mathematics abstraction literacy,I design two teaching cases:"the definition of perpendicularity between straight line and plane "and "exponential function and its properties",which provide theoretical reference and teaching examples for mathematics concepts teaching in the context of mathematics abstraction literacy.