Research On Teaching Design Of High School Collective Concepts Based On Mathematical Abstraction Literacy

The new curriculum reform pointed out that the comprehensive quality of students should be continuously cultivated,and the development of students should be the starting point to improve students'learning ability and self-innovation ability,so as to promote the effective enhancement of the core literacy of mathematics^[1].For the core literacy of mathematics,it effectively shows the goals of the mathematics curriculum,and at the same time clarifies the reform direction that the new curriculum reform should adhere to,which shows its importance.Among them,the abstract literacy of mathematics is the priority of the core literacy,which has always received much attention.The concept of mathematics has an important position and function in the system of mathematics.Its formation process is relatively abstract,and it can promote the corresponding cultivation of abstract literacy in mathematics.Therefore,the mutual integration between the two is of great significance.To ensure the smooth progress of the research,the author consulted a large number of relevant literature,and built the framework of comprehensive evaluation based on the four dimensions of the abstract literacy of mathematics in high school curriculum and their corresponding three levels.Analysis of the questionnaire and the test was conducted in different dimensions and levels,and some problems were found in the teaching and learning process of the concept"set":(1)Discrepancy existed in teachers'understanding of the concepts and functions of collection,hence students'awareness of collective concept still remained in knowledge level,which is below the required benchmark;(2)The utilization of unscientific teaching methods led to poor teaching effect.Most teachers adapt the approach that combines teaching process with practice,resulting in passive"acquisition of concepts".(3)Although teachers tried to allow students to experience the conception formation process,but unsatisfactory result took place in the application of abstract literacy of mathematics.Based on the situation mentioned above,the development of students'mathematical abstract literacy in all dimensions is unbalanced.Most students'mathematical abstract literacy can reach the qualified level,but only a small number of them can reach the excellent level.Based on the research results mentioned above and my own understanding,this paper puts forward some strategies for reference to infiltrate mathematical abstract literacy in the teaching of set concept:(1)The teacher interprets the textbook deeply and extracts the mathematical abstract literacy;(2)Cultural background of“set”was integrated to stimulate the desire for learning;(3)Teachers can create an effective life situation to inspire students to think;(4)Question groups are scientifically organized to help students to gain insight through independent exploration.Finally,the author makes use of the research results to develop"Conceptual Teaching Design Based on Mathematical Abstraction Literacy Collection".