Investigation Analysis Of Senior Grade One Students' Errors In Trigonometric Function Solving

Mathematical problem-solving is an essential activity for students in mathematics study,but problem-solving errors are very normal and inevitable for students.From the point of view of educators,we hope that students can master more knowledge and skills in solving mathematical problems and reduce the occurrence of problem-solving errors as much as possible.Trigonometric function is a kind of special periodic function,it is an important part of high school mathematics content,and it is also the necessary point of college entrance examination mathematics.Although the trigonometric function in senior high school is not the most difficult,students still make many mistakes in solving trigonometric function problems.In order to have a comprehensive and in-depth understanding of what problem-solving errors occur in senior one students' mathematics learning,and to find out whether factors such as students' gender and level affect students' problem-solving errors,some teaching strategies are put forward to help students reduce or even avoid the occurrence of problem-solving errors.Based on trigonometric function,The author selected the fresh students of S high school in G city,capital city of G province in southwest China,and used the methods of literature analysis and investigation in this study.Collect data by means of tests,and then sort out useful information and reliable data.Taking knowledge error,logic error,strategic error and negligence error as the error analysis framework of this study,this paper analyzes four types of errors in trigonometric function learning of senior one students from different gender and different levels.The main conclusions are as follows: the error types of senior one students are mainly knowledge error and negligence error,but also a small number of strategic error and logical error.Gender has no significant effect on the four types of errors in trigonometric function learning,and the level of students has significant effect on knowledge errors and strategic errors.Finally,according to the analysis of the problem-solving errors of the students in trigonometric function,some teaching strategies are put forward to reduce the students' problem-solving errors.