| After the core literacy in mathematics is proposed,how to cultivate students to observe the world with mathematical eyes,think about the world with mathematical thinking,and express the world with mathematical language is the key to mathematics teaching and learning at all levels.Uniform teaching is different from traditional classroom teaching in that the theme(core knowledge,ideas and methods or core literacy)is used to coordinate teaching and learning,emphasizing that the whole is greater than the sum of its parts.How to do a good job of designing mathematics units is a key aspect of effectively implementing core mathematical literacy in the classroom.This paper uses a combination of literature research,test surveys,statistical analysis,and teacher interviews.First,the literature review method is used to clarify the measurement model of mathematical core literacy and the framework of mathematics unit teaching design.Secondly,a scientific evaluation system of the four major mathematical core literacies(mathematical abstraction,logical reasoning,intuitive imagination and mathematical operation)of the three-dimensional geometry block is established,including three knowledge levels(knowledge understanding,knowledge transfer and knowledge innovation)and a total of twelve levels.And the core literacy test paper of the threedimensional geometry block is prepared with the knowledge distribution of the three-dimensional geometry block.After the students’ assessment,according to the evaluation framework,statistical analysis was conducted by using EXCEL and SPSS software,and the results were: most of the students’ core literacy levels were between the first and second levels;there were no gender and age differences in the students’ learning of the threedimensional geometry block;the students’ mathematical abstraction and logical reasoning literacy levels were poor,specifically in the parallel knowledge block in space.The theme unit is "Parallelism in Space",and the lesson type is a theorem review lesson,focusing on the development of students’ mathematical abstraction and logical reasoning core literacy.Then,the characteristics of unit teaching are extracted: integrated systematicity,student-centeredness and dynamic development,and combined with CPFS structure theory,a unique review unit teaching model is obtained: determining the core theme of the review unit,analyzing the essence of the core theme,applying the core theme to solve problems,and establishing a personal CPFS structure of the core theme.CPFS structures are excellent cognitive structures for mathematics,and enriching students’ CPFS structures contributes to the development of students’ core mathematical literacy.Finally,the teaching design of the review unit is based on the core theme of "parallelism in space",and the synthesis and vector methods are integrated throughout the teaching design according to the teaching steps of the core theme of the review unit.The graphical formula.Through the in-depth communication with the interviewed teachers,the teaching design was continuously improved so that the students could construct a complete CPFS structure of "parallelism in space" and promote the cultivation of students’ key abilities and mathematical character.In general review,the salient results of this thesis are:(1)Adequate understanding of students’ learning in the threedimensional geometry block.The paper establishes a mathematical core literacy assessment system for the three-dimensional geometry block,prepares test papers based on the assessment framework,and then conducts a statistical analysis to clarify students’ core literacy levels and knowledge learning difficulties in the three-dimensional geometry block.(2)To provide a model for teaching design of review units.In this paper,we use "theorem review class" as an example to develop a specific teaching process for a large unit of theorem review: the propositional system for obtaining parallel theorems,the thinking method system for proving parallel theorems,and the application research system for proving parallel theorems.The overall design is finalized to provide a model for the design of the review unit. |
