Analysis Of The Current Situation Of High School Students' Trigonometric Function Problem-solving Ability Under CPFS Structure

The trigonometric function is an important basic elementary function for students which is also the significant part of math learning.The CPFS structure is a network structure that made up of mathematical knowledge in students' brain.This network will be activated when they are solving math problems,so there are connections between the network structure and the ability of solving problems.By compiling and testing the trigonometric function CPFS structure and trigonometric function problem-solving ability test paper,this research analyzes the current situation of trigonometric function problem-solving ability of high school students on the basis of the current trigonometric function CPFS structure,and then proposes teaching advices for developing students' trigonometric function problem-solving ability.The analysis of the recovered test papers shows that:(1)Most of the high school students' trigonometric function CPFS structure and trigonometric function problem-solving ability are at the medium level,and only a few are excellent;(2)The level of trigonometric function CPFS structure and trigonometric function problem-solving ability of physics students is higher than that of history students;(3)The more perfect the trigonometric function CPFS structure is,the higher the trigonometric function problem-solving ability of the students,on the contrary,the higher the trigonometric function problem-solving ability of the students,the more perfect the CPFS structure;(4)Students do not forma relatively good trigonometric function CPFS structure,and their overall grasp of knowledge is poor.Teachers take the college entrance examination as the baton and do not pay attention to the cultivation of students' problem-solving ability.In a word,the trigonometric function problem-solving ability of high school students is not ideal.Based on the analysis of the current situation,effective teaching suggestions for developing high school students' trigonometric function problem-solving ability are put forward under the CPFS structure:(1)Stimulate students' interest in learning and give full play to students' autonomy;(2)Skillfully set up problems and build a bridge between propositions;(3)Strengthen variant teaching and cultivate students' habit of summarizing and expanding;(4)Pay attention to the teaching of trigonometric function concept and strengthen the relationship between concepts.