| The new curriculum standard emphasizes the cultivation of students’ core competencies.So how to make it "landing" has become an urgent need to be solved.To this end,the unit instructional design gives the answer.Unit instructional design pays attention to the integrity and systematization of knowledge,which can help students establish a systematic knowledge structure and promote the development of subject core literacy.Understanding by Design(UbD)emphasizes understanding first and provides theoretical support and operational framework for unit instructional design.The content of trigonometric functions in high school has made significant changes under the new standard,with many contents,which is the important and difficult point of teaching.Trigonometric function is a good carrier for unit instructional design.Therefore,this thesis constructs the instructional design path of mathematics unit based on UbD,taking the unit of "trigonometric functions" as an example for unit instructional design,and using the sub-unit of "trigonometric function concept" as an example for teaching practice.This research mainly focuses on the following three questions:(1)What is the path of mathematical unit instructional design based on UbD theory?(2)How to carry out the unit instructional design of "trigonometric function" based on UbD theory?(3)How is the implementation effect of "trigonometric function" unit teaching design based on UbD theory?This research adopts the literature inquiry method to sort out and summarize the UbD theory,unit teaching and trigonometric function teaching and other related research,and constructs the path of mathematical unit teaching design based on UbD.Secondly,it adopts the action research method for teaching practice,and finally uses the investigation research method to test the effect of unit teaching design.Based on the above research,the results of this thesis mainly include the following four points:(1)The UbD-based mathematical unit instructional design path is constructed,which mainly includes five steps: unit overall element analysis,unit objective establishment,unit evaluation design,unit teaching process design and feedback improvement.(2)The four dimensions of transfer,meaning making,acquisition,emotional attitudes and values(T,M,A and E)are used as evaluation criteria to evaluate students’ learning outcomes.(3)The "trigonometric function" unit is taken as an example for teaching design,which provides a case of teaching design of mathematics unit based on UbD and develops the idea of teaching design.(4)Teaching practice shows that unit instructional design is conducive to the improvement of students’ transfer,meaning making,and acquisition,make students feel the cultural value and charm of mathematics.At the same time,it is helpful to cultivate students’ correct emotion,attitude and values,so as to promote the development of students’ core quality of mathematics. |