Investigation And Research On The Understanding Level Of Trigonometric Function Concepts Among High School Students

The triangle function plays an important role in high school mathematics courses and is the key module of the college entrance examination.In the basic elementary functions,the triangle function and the concept of triangle function lays the foundation for learning the triangle function well,so it is crucial to learn the concept of triangle function well.Students ’ understanding of the concept of triangle function has a certain level,and at each level of students face different problems,such as students in the low understanding level of learning difficulties and high understanding level of students face learning difficulties are different,the corresponding teaching means should be different.In this context,the research problem was finally established as:(1)What is the level of understanding of high school students and the distribution of students at each levels?(2)What are the specific difficulties of high school students in learning the concept of triangle function?(3)According to the study of SOLO classification theory,how should teachers do it after teaching the concept of triangle function to solve the difficulties of students? What are the good suggestions?In order to solve the above research problems,compile the High School Students’ Triangle Function Concept Understanding Level Test Volume for testing,score the test volume according to the standard of SOLO classification theory,analyze the data,determine the students’ understanding level,and then interview the students according to different understanding levels to understand the specific learning difficulties.At the same time,combined with the Questionnaire of Mathematics Learning to understand the non-intellectual factors in mathematics learning of high school students,and explore the characteristics of mathematics learning of high school students,and finally got the following conclusion:(1)the overall understanding level of triangle function concept is low,especially the understanding level of comprehensive application of triangle function is low.Significant differences in understanding levels between men and women in(2).(3)students difficulties and current situation of learning triangle function: the introduction of unit circle,leading to low acceptance;confusion of triangle function definition method,resulting in the lack of understanding of the surface;underestimate the advantages of triangle function line,leading to the narrow range of triangle function line;lack of knowledge systematization,leading to separation of knowledge.(4)The difficulties and current situation of teacher concept teaching of triangle function include two aspects: one is how to effectively accept the unit circle definition method;the second is how to deal with the final side definition method.(5)In terms of non-intellectual factors,the external motivation,emotional stability,learning efficiency and persistence of high school students have the most obvious impact on students ’ learning of mathematics.Based on the above research conclusions,seven teaching suggestions are put forward:(1)clever tools,appropriate details,solve the teaching difficulties of triangle function definition:(a)into the history of triangle function,eliminate the confusion of unit circle;(b)choose the triangle function definition method to solve the problem of student confusion;(c)explain function correspondence,reveal the nature of triangle function.(2)Pay attention to content,be familiar with learning situation,and solve the difficult problems of triangle function line teaching:(a)strengthen triangle function line teaching,build a complete knowledge system;(b)be familiar with students ’ cognitive laws and prove triangle function line painting.(3)Teach students according to their aptitude,make reasonable plans,and solve the problems of significant differences:(a)skillfully set up interactive problems and homework,ask questions according to gender;(b)understand the students ’ understanding level,and develop a reasonable review plan.(4)carries out activities,control the difficulty,to meet the characteristics of students ’ mathematics learning;(5)read history books,trace back to the source,clear the meaning of the unit circle;(6)special research textbooks,induction,summary,and build the triangle function concept knowledge network;(7)diligent in practice,step by step,improve the ability to solve comprehensive problems.