Research On The Current Situation And Countermeasures Of Solid Geometry Concept Teaching From The Perspective Of Mathematical Abstract Literacy ——A Case Study Of A Middle School In Nanjing

Mathematics Abstract literacy is at the top of the six core literacy and runs through the concept teaching activities in senior high school.Mathematical concepts are the starting point of learning and have a high degree of abstraction,but the essence of mathematical concepts can be summarized through the process of concreteness to abstraction.This paper takes the concept of solid geometry in senior high school as the knowledge carrier,there are many concepts,theorems and properties in solid geometry.It is difficult for students to the concept of solid geometry from life situations and geometric figures.It is difficult to connect abstract concepts with real situations.They often have a poor understanding of literal expression and symbolic language,and cannot use concepts well to solve practical problems.They mainly are lack of mathematical abstract literacy.Therefore,the research on the current situation and countermeasures of solid geometry concept teaching from the perspective of mathematical abstract literacy is very important.Firstly,by combing the literature on mathematical abstract teaching and solid geometry concept teaching at home and abroad and using the mathematical abstract level framework divided by the new curriculum standard(2017 Edition)as the research tool,this paper investigates the current situation of the abstract literacy level of a senior high school student and analyzes the mathematical abstract literacy of middle school students in solid geometry concept by using SPSS26 and EXCEL descriptive and differential analysis:(1)The level of students' abstract literacy is general,some students are below the average level,and there are few high-level students;(2)Most high school students are in the stage of abstract level ?reproduction,and a small number of students are in the stage of level ? connection and level? creation;The dimensions of situation and problems,knowledge and skills are better,while the dimensions of thinking and expression,communication and reflection are weaker;(3)The average abstract literacy of science is higher than that of liberal arts,the difference between male and female abstract literacy is not large,and the average abstract literacy in senior two is higher than that in senior one.Secondly,this paper analyzes the problems existing in the teaching of solid geometry concepts from the questionnaire:(1)Students lack the ability to construct abstract solid geometry concepts independently;(2)Teachers' awareness of abstract mathematics training is insufficient;(3)The development of four dimensions and three levels of mathematical abstraction is unbalanced.Moreover,guided by APOS theory,this paper puts forward four teaching strategies of solid geometry concept from the perspective of mathematical abstract literacy:(1)The activity stage of perceiving the concept background;(2)The process stage of abstracting essential attributes;(3)The object stage of emphasizing conceptual representation;(4)The schema stage of constructing conceptual connection.Finally,two teaching cases are designed based on the perspective of mathematical literacy and APOS Theory:the first class of the definition and angle of different plane straight line and the first class of the definition and judgment theorem of line plane vertical,so as to provide some teaching theoretical reference and teaching design cases for the teaching of solid geometry concepts from the perspective of mathematical abstract literacy.