Research On The Teaching Practice Of Solid Geometry Based On The Literacy Of Intuitive Imagination

Mathematical literacy is the basic quality for students to continue to learn and integrate into society and adapt to the development of modern society.The major countries in the world regard three-dimensional geometry as one of the necessary mathematics knowledge for students before entering the college of higher learning.Although the specific knowledge system is different,the cultivation of students' basic mathematics literacy is consistent.Ste re dimensional geometry of teaching ideology follow the intuitive perception,operation confirmation,logical reasoning,measurement calculation and explore the nature of spatial graphics,but in teaching practice,the teacher subconsciously ignored the cultivation of students' intuitive imagination literacy,leading to students' most critical logic reasoning and mathematical operations appear various problems.Clarifying the relationship between the core literacy of mathematics in three-dimensional geometry as the theoretical basis of practical teaching and the teaching design is conducive to cultivating students' core literacy.Around this problem,we first consult books,periodicals and papers related to the core literacy of mathematics,and through the study of the connotation and related contents of the core literacy of mathematics,we define the concept of the core literacy of mathematics in the opposite geometry,especially the visual imagination literacy.Based on the physical model and the visual graph of space geometry,this study analyzes the examination of visual imagination literacy,and finds that the cultivation of mathematical literacy such as logical reasoning,mathematical operation,mathematical abstraction and mathematical modeling in solid geometry needs to be based on a certain intuitive imagination.Through further analysis and sorting out the relationship between mathematical core literacy in solid geometry: intuitive imagination is the most basic and key literacy;intuitive imagination,mathematical abstraction,logical reasoning,mathematical operations,mathematical modeling there are layers of progressive,spiral rise,gradual development of the relationship.Through the investigation of the development level of mathematics core accomplishment in solid geometry senior high school students in a development level of students' visual imagination,logical reasoning and mathematical operation are between one and two levels;the development level of mathematical abstraction and mathematical modeling literacy in solid geometry is low;Visual imagination literacy and logical reasoning have strong correlation,intuitive imagination literacy and mathematical operation literacy also have a strong correlation;Visual imagination literacy development level will affect the overall level of mathematical literacy development.Based on the relevant case analysis and investigation and analysis,the teaching case of solid geometry based on visual imagination literacy is designed and practiced in teaching.It can be seen from the teaching practice that the related teaching design objectively reduces the difficulty of solid geometry teaching,cultivates the students' visual imagination accomplishment,and makes the students master the general method and core accomplishment of studying solid geometry.