Research On The Theory And Practice Of Trigonometric Function Unit Teaching In Senior High School

The learning process of trigonometric function has great value in training students' mathematical language,mathematical vision and mathematical thinking ability.However,students often fail to master the content of trigonometric function unit as a whole,which makes the learning of trigonometric function difficult to adapt to the current situation of university learning.At the same time,unit teaching can help teachers and students to understand the unit content and methods as a whole,so it is an attempt to carry out trigonometric function unit teaching based on unit teaching theory.At present,there is a lack of trigonometric function unit teaching cases and operation steps of mathematics unit teaching design,especially in the design of unit teaching activities.Therefore,this study will start from the following content to study the theory and practice of trigonometric function unit teaching in senior high school.First of all,the theoretical basis of unit teaching is studied.Through literature analysis,this paper states the origin,development and existing concepts of unit teaching,analyzes the concepts of unit teaching design and overall teaching,summarizes and refines the overall characteristics and definitions of unit teaching,and further analyzes the specific performance of the overall from the three stages of understanding,design and evaluation(Figure 2.1),and finds that unit teaching is beneficial to students Master mathematics knowledge and methods,promote active learning and improve learning methods and other values.Secondly,the teaching status of trigonometric function unit is investigated.According to the specific performance of the unit teaching integrity,the reference documents have compiled the interview outlines(table 3.2 and table 3.3)for teachers and students respectively from the perspective of teachers' teaching and students' learning.Four teachers and six students have been interviewed and the interview key points(Appendix 1 and Appendix 2)have been extracted respectively.The analysis of the interview results shows that teachers grasp the unit teaching content as a whole and integrate it.The teaching situation of "unit teaching activity of physical design" is not optimistic,especially it is difficult to design "complete" unit teaching activity in combination with the existing activity experience of students.Thirdly,the operation steps of mathematics unit teaching design are constructed.This paper analyzes the reasons of the current situation of mathematics unit teaching,and finds that there are two aspects that need to be broken through in the current mathematics unit teaching: "setting up complete unit teaching activities" and based on the two mathematical characteristics of "general research route" and "duality of concept",we get two teaching inspirations: "introducing the main line of teaching" and "objectifying the process of mathematical thinking method";by modifying the operation steps of existing unit teaching and the integrity of unit teaching,we get the conclusion to the corresponding teaching measures of unit teaching(Figure 4.2),further form the operation steps of mathematics unit teaching design from the perspective of large unit and small unit(Figure 4.3),and provide three instructions for developing mathematics unit teaching.Then,the teaching plan of big unit of trigonometric function is designed.Under the guidance of mathematics unit teaching design operation steps,the teaching elements of trigonometric function unit are analyzed,and the teaching enlightenment of trigonometric function unit is obtained;according to the teaching enlightenment,the unit knowledge structure diagram(Figure 5.3),unit teaching thinking(Figure 5.4)and small unit teaching planning(table 5.3)of trigonometric function large unit are formed.Finally,the teaching plan of trigonometric function small unit is designed and implemented.According to the large unit teaching plan of trigonometric function,two small units of "unit starting course" and "two corner sum and difference formula" are selected,and their teaching elements are analyzed.The teaching plan of these two small units is designed from three aspects of teaching main line,teaching process and teaching evaluation.The teaching practice of the first class of "two corner sum and difference formula" small unit is carried out in school Z through interview.The teacher and the students got the feedback of the teaching,and found that the unit teaching plan can help the students to improve the knowledge structure system of the small unit and understand the mathematical thinking method.In summary,through the study of high school trigonometric function unit teaching,we have a clearer understanding of the concept,characteristics and value of unit teaching,which is more conducive to our teachers in giving play to the advantages of unit teaching in teaching;combining the characteristics of unit teaching.The performance has obtained the current status of trigonometric function unit teaching,which has a certain reference role for teachers to understand the current status of trigonometric function teaching and improve trigonometric function unit teaching;the use of the characteristics and current status of unit teaching and the operation steps of mathematical unit teaching constructed by teaching theory are beneficial to math teachers.Practicing unit teaching in teaching;from the practical feedback of the trigonometric function unit teaching plan generated under the guidance of the mathematical unit teaching operation steps,the trigonometric function unit teaching plan and the mathematical unit teaching operation steps have certain enlightenment for our new teachers to carry out the mathematical unit teaching.