Research On Teaching Design Of Trigonometric Function Unit Based On UbD Theory

As "Senior High School Mathematics Curriculum Standards" was promulgated(2017edition,2020 revised),more and more people have addressed the significance of the development of core literacy in the teaching of mathematics.Emphasis is placed on guiding the students’ deep comprehension and comprehensive grasp of knowledge,and on developing the students’ ability and thinking.The UbD model,namely the teaching design pursuing understanding,attaches importance to “understanding”,emphasizes “reverse” and pays attention to “whole”.The curriculum design,initiating from a big concept,can be put into use in a class or a unit flexibly,which fully fits the teaching concept of China and echoes the core literacy to be implemented.As the basic elementary function of high school mathematics,trigonometric function can connect algebra and geometry,quantize the relationship between the edges and corners of triangles,and contains a large number of formulas,calculation methods and difficult knowledge.It can not be substituted for the improvement of the students’ knowledge system,the cultivation of the students’ math thinking and the core literacy.Therefore,it is meaningful and valuable to study unit instructional design based on UBD mode in which the "trigonometric function" is used as a carrier.How to implement the Mathematical Trigonometry Unit of Senior High School under UbD Theory? The specific research process is as follows:Firstly,this paper defines the concept of UbD theory,research elaborated the concrete content,summary and analysis of domestic and international research situation,introduce the basic theory,and describe the characteristic and frame of UBD theory,which lays the foundation for the subsequent research.Secondly,the question and research were aimed to find out the concrete situation of the senior high students and the teaching design of the functional unit of trigonometry,explore the actual problems In the teaching of trigonometry in senior high school,Based on the new curriculum reform,the need of core literacy and the change of trigonometric functions,and the rational teaching tactics are proposed.Next,Design of Trigonometric Function Unit Based on UBD Theory.The specific implementation process is as follows: unit main planning,unit objective description,unit evaluation design,learning activity design and class hour task arrangement.Based on this process,we make the teaching design of the triangle function unit,and make a systematic plan for every step of the teaching process,The paper also elaborates on how to implement the teaching design,which is based on the UBD theory.Based on the above path,the detailed teaching design plan of two periods of Trigonometric function Concept and Trigonometric function Induction Formula is given,which provides useful reference for front-line teachers.Finally,we conducted an interview with three senior senior math teachers,and found that the process design had certain feasibility and superiority,which can be useful to front-line teachers to do the preparation for the lessons and make plans for their teaching.It meets some requirements that the traditional teaching design mode cannot meet,but there are still a number of deficiencies which require further improvement.