Research On The Teaching Of Trigonometric Functions In High School Under The Heuristic Teaching Mode

With the deepening of new curriculum reform,the development of the students' mathematics core literacy has become an important aim of middle school mathematics teaching,Teachers systematically train the ability of middle school students of number sense,and deepen their mathematical thinking,and improve students ability to solve practical problems,this gives us a new challenge to teachers of middle school mathematics subject.In middle school mathematics classroom teaching,heuristic teaching link accounts for less than time,lack of heuristic teaching links,and high school trigonometric function contains abundant mathematical thought and method to solve problems,if only through the "force-feeding" learning,not the heuristic teaching mode and the high school mathematics organic fusion,to the improvement of students' comprehensive ability has great impact.So high school mathematics learning about mathematics classroom teaching requires us to think again,based on the mode of classroom teaching practice and research,to build real efficient high school mathematics classroom teaching mode is our each subject to be studied in the high school mathematics teachers,the recognition of heuristic teaching mode and application in the mathematics classroom research,is of great significance to the high school mathematics teaching.This paper introduces the research background and significance of heuristic teaching,according to the current education teaching theory,psychology and related theory,the comparison of the existing heuristic teaching research results at home and abroad at present,and has carried on the comb and cause analysis,concludes the problems of heuristic teaching,trigonometric function according to the high school teaching material contents and characteristics are analyzed,and design of the same basic relations of the trigonometric functions of typical teaching cases,through classroom observation,after-school analysis methods such as to grasp the current mathematics application of heuristic teaching and the status quo,combined with the questionnaire survey to understand the middle school mathematics teachers' understanding of mathematics heuristic teaching,At the same time,it finds out the causes of students' difficulties and problems in learning trigonometric functions,analyzes and summarizes the research results,and summarizes the strategies and effects of high school trigonometric functions under heuristic teaching.This thesis research and study of heuristic teaching theory,the heuristic teaching mode with high school mathematics teaching,to strengthen the understanding of heuristic teaching,for students to develop effective construction of mathematical thinking and the ability of autonomous learning,can make students quickly into the good study condition and improve the students' mathematics learning effect;It provides some reference for the majority of mathematics educators,helps to change the teachers' inherent view of the heuristic teaching function,and improves the teachers' theoretical level by combining with practice,and drives them to change their teaching behavior.Promote the promotion of classroom teaching efficiency,improve the effectiveness of trigonometric function teaching,and provide the theoretical basis for quality-oriented education.Therefore,the reunderstanding of heuristic teaching mode and the application research in mathematics classroom are of great significance to high school teaching.