Investigation On Properties Of Trigonometric Functions And Image Cognition Level Of Senior High School Students

Trigonometric function is the key and difficult content of mathematics teaching in senior high school.Trigonometric functions are also required knowledge points in the college entrance examination,and most of the test questions of trigonometric functions involve the properties and images of trigonometric functions.At the same time,the properties of trigonometric functions are also involved in physics,so it is worth paying attention to.This paper first adopts the literature research method.The content,research status and application of SOLO classification theory in mathematics teaching are summarized.Combining the general high school mathematics curriculum standards(2017edition)to study the nature of trigonometric functions and the classification standard of image cognition level.Secondly,take the test paper as the mainstay and the interview as the supplementary method to conduct investigation and research,the test paper with good reliability and validity was compiled,and 240 students in the practice school were tested,then select representative student interviews.Finally,the test and interview results are sorted out and analyzed,based on the cognitive level and the suggestions of front-line teachers,this paper explores the factors that affect the properties of trigonometric functions and image cognitive level of senior high school students,and puts forward teaching suggestions based on this.The main conclusions of this study are as follows,(1)cognitive levels: through tests and interviews,analyze senior high school students' trigonometric function properties and image cognition level,the highest number of students in the first year of high school are at the level of relational structure,more than half of the students were able to solve basic problems,the number of people at the level of multiple structures has increased,and there is a significant difference in the cognitive level between the experimental class and the ordinary class,moreover,there are significant differences between boys and girls in the properties images of sinusoidal functions and find the angle with a known function value;(2)influencing factors:the factors affecting the cognitive level include the new curriculum standard and the proposition of the college entrance examination,relevant basic knowledge is not grasp firmly,some students don't use the combination of numbers and shapes,unskilled mastery and application of formulas,instructors,etc.According to the influencing factors,the following suggestions are put forward: teachers should make rational use of information technology,create scenarios,pay attention to the correlation between knowledge,add or subtract the teaching content of number lines in triangular correspondence reasonably,and pay attention to the infiltration of combination of numbers and shapes.It is hoped that this study can provide a trigonometric function property and image quality evaluation system for front-line teachers,and then improve students' cognitive level pertinently.