Research On Unit Teaching Design Of High School Students' Mathematical Abstract Accomplishment

The research on the cultivation of mathematical core accomplishment has been paid more and more attention by researchers.However,in the actual teaching,there exists the phenomenon of insufficient implementation of core literacy.Mathematical abstraction is one of the six core qualities.To cultivate students' mathematical abstraction,it can help students to discover problems,explore problems,summarize experience and learn to study.The advantage of unit teaching design is to let students experience the mathematical thought behind the knowledge,so as to implement the new curriculum concept,which is helpful to cultivate students' mathematical core accomplishment and innovative ability.Ub D theory can be used as the theoretical basis of unit instructional design,and is an effective template in unit designing.This study mainly focuses on the following three questions :(1)What are the steps of using Ub D theory to design and implement of teaching "Spatial Angle" unit?(2)How is "Spatial Angle" unit teaching modified and improved?Finally,what is the teaching mode of "Spatial Angle" unit?(3)Is unit teaching under the guidance of Ub D theory conducive to cultivating students' mathematical abstract literacy?Mainly using action research method to research: first of all,teaching material,through data access unit factor analysis the content of “Spatial Angle”,by using the theory of Ub D framework design unit teaching plan,including three classes,straight lines in different planes into the Angle,the Angle of the line and plane into,into the Angle of the surface and interface.Then each class in A first class teaching,aiming at the existing problem of A class,and was improved,with the improved learning path taught in class B.After each class hour,before and after the unit teaching,the students of class A and class B were tested to compare the teaching effect before and after the improvement.The research results show that:(1)The design and implementation process of applying Ub D mainly includes three steps: preliminary preparation,development and design,and practical reflection.(2)The modified and improved "Spatial Angle" unit is to let students experience the formation process of the concept of Spatial Anglefrom the perspective of concept formation,that is,to determine the existence of the Angle first,and then determine the uniqueness of the Angle.Finally,the unit teaching mode of "based on the big situation,put forward the big problem,push forward the big concept,and form the big pattern" is formed.(3)The unit teaching program under the command of the "big four" focuses on leading students to experience the formation process of relevant concepts of "Spatial Angle",which is conducive to the cultivation of students' mathematical abstract literacy.Based on the research results,Suggestions are put forward :(1)It is suggested to add inquiry activities for students to participate in in the textbook.(2)As for the teaching of "Spatial Angle",it is suggested that teachers can refer to the unit teaching mode of "big situation,big problem,big concept and big pattern".In addition,the teaching should not only pay attention to the acquisition of students' knowledge,but also pay attention to the cultivation of students' mathematical core accomplishment.(3)Students are suggested to think actively about the connection between knowledge and construct the knowledge framework.