The Study On The Cultivating Path And Teaching Design Of Mathematical Abstract Literacy

Mathematical abstraction is the basis for the formation of mathematical discipline.Mastering abstract methods,cultivating abstract rational thinking and insight into the essence of problems are not only a favorable tool for mathematical learning,but also an extremely important value goal in mathematical education.Against this background,this paper explored the cultivation path of mathematical abstract literacy and the corresponding teaching implementation design,so as to promote the implementation of mathematical abstract literacy in teaching.Taking some students of a high school in Nanchang City as the research object.This paper developed a test paper to understand the current situation of the cultivation of students' mathematical abstract literacy based on the "General High School Mathematics Curriculum Standards(2017 Edition)".By using Excel and SPSS24.0 to analyze the test data,the results showed that: the grade one students' mathematical abstract literacy level is low,with 56% of the students participated in the study reaching level 1,while20% are not.By analyzing students' typical problems in classroom learning and homework,conducting in-depth interviews with related students,and analyzing the problems existing in teachers' teaching,we found that:students were not accurate in the study of mathematical knowledge,and their abstract summary ability was poor.What's more,they lacked the grasp of mathematical ideas and methods.In teaching,first,the abstract process of knowledge was incomplete.Second,the teacher lacked the exercise in the improvement of students' thinking ability.Third,the test of students' learning results was not timely,and finally,the teacher lacked communication with students.Based on the above research results and three levels of abstraction proposed by Professor Shi Ningzhong,we have summarized the cultivation path of mathematical abstract literacy,which is "establishing a long-term vision and a high intention,integrating every detail into the classroom,and achieving the accomplishment from small points" :(1)Grasp the logic starting point and create suitable situation;(2)The simplicity stage—guide students to grasp the essence of problem,and seize the main contradiction;(3)The symbolization stage—guides the students to independently produce more generally to express the psychological needs of formal phase;(4)The formalization stage—generalize and organize to get mathematical objects;(5)In-depth analysis,accurate grasp mathematical object;(6)Ruminate explore process,enrich basic experience and methods.And take the function concept as an example,practice the path of the cultivation of discipline core literacy.