Investigation On Current Situation And Correction Case Study Of Trigonometric Function Problem Solving Errors In Senior One Students

This study takes students in grade one as the research object,classifies and attributes the types of problem solving errors that occur in the learning process of trigonometry,proposes correction strategies based on relevant theories,studies correction cases and validates correction strategies,and finally puts forward teaching suggestions related to trigonometry problem solving errors of students in grade one.The research methods used in this study include literature analysis,interview,test,questionnaire and case study.(1)At the beginning of the study,interview with first-line high school mathematics teachers to understand the mathematics learning situation of senior one students and the key,difficult and error-prone points in trigonometry learning;(2)Compile test papers and use test methods to distribute test papers to collect and classify problem-solving errors of senior high school students.Based on the classification of problem-solving errors in Luo Zenggru’s Science of Mathematical Problem-solving and supplemented by Dai Zaiping,problem-solving errors are classified into: knowledge errors,logical errors,strategic errors and psychological errors;(3)Using the questionnaire survey method,designed the "Trigonometry Learning Questionnaire",and distributed and collected questionnaires to the research objects.The main contents of the questionnaire were students’ interest in mathematics learning,common reasons for problem solving errors,and attitudes towards wrong questions;(4)According to the theory of problem solving and students’ actual situation,formulate correction strategies for problem solving errors,use interview method and case study method,and select 4 representative students for case correction based on their academic foundation and learning interest.(5)Through the study of correction cases,put forward teaching suggestions related to students’ problem solving errors.The conclusion of this study includes the types of trigonometric function problem solving mistakes of senior one students,the attribution of trigonometric function problem solving mistakes of senior one students,and the correction strategies and teaching suggestions of senior one students’ trigonometric function problem solving mistakes.(1)In the whole problem solving errors of the trigonometric function chapter,the highest frequency of problem solving errors occurred in senior one students was strategic errors,accounting for 55.8%,followed by psychological errors,accounting for30.3%,and finally,knowledge errors,accounting for 13.9%;(2)Senior one students think that the biggest reason why they make mistakes in solving trigonometric function problems is that the problem is too difficult,the second reason is that they have too little or not enough training in solving problems,and the third reason is that they are negligent or careless in solving problems.Other reasons included students thinking they had a poor mathematical foundation,had too many formulas to remember,were in a bad state during the exam or did not have enough time to complete the problem;(3)The teaching suggestions obtained through the case correction study are to strengthen students’ understanding of the connotation and extension of concepts in classroom teaching,strengthen problem-solving training,accumulate wrong problems with wrong problem books,cultivate good problem-solving habits,appropriately encourage and motivate students,and pay attention to students’ mental health...