Teaching Research And Problem Solving Analysis Of Trigonometric Function In Middle School Mathematics

Trigonometric function is one of the very important content in the middle school mathematics curriculum in our country.According to the "General High School Mathematics Curriculum Standard",the trigonometric function is arranged in the compulsory 4 of the new textbook,which mainly includes the integration of number and shape,transformation,and In order to transform important mathematical ideas such as transformation,substitution,and specialization,students learn trigonometric functions to cultivate the "four bases" and "four abilities" and to improve the core competence of mathematical subjects such as mathematical abstraction and mathematical modeling.Based on more than ten years of teaching reform and research,many teachers and scholars have different opinions on trigonometric functions in middle school mathematics,but they have not made a systematic and comprehensive analysis research on the teaching and problem-solving of trigonometric functions.In order to make the teacher's teaching process of trigonometric functions more detailed,let students learn trigonometric functions and use them flexibly in solving problems,this paper will study the teaching of trigonometric functions in middle school mathematics and analyze the problem-solving of trigonometric functions.This paper mainly uses the literature reading method.First,it will give a preliminary introduction to the social background,scientific and technological background,historical status,historical background and the actual situation of our country since the new century.At the same time,it will quote the "General High School Mathematics Curriculum Standard".Some basic ideas and core qualities are used to assist the explanation.Then,I will talk about three aspects of mathematics learning,teaching and problem solving from the basic theory,and then summarize some basic knowledge of trigonometric functions.To explain the teaching objectives and teaching content of trigonometric functions from the junior high school and high school respectively,and use diagrams and The formulas are simple and comprehensive basic and important knowledge of trigonometric functions in the textbook.Finally,the teaching research of trigonometric functions in middle school mathematics and the problem-solving analysis of trigonometric functions in middle school mathematics will be described.The teaching research mainly analyzes the concept teaching of trigonometric functions,the graphics of trigonometric functions,the teaching of properties,and the teaching of formulas and theorems.Three teaching designs are used to verify the abstract teaching content of the concept of trigonometric function and need to create a context;the teaching of trigonometric function images and properties needs to guide students to experiment;the teaching of trigonometric function formulas and theorems needs to demonstrate the process of proof.Problem-solving analysis mainly studies some applications of trigonometric function problem-solving,as well as the method of trigonometric function problem-solving,which will prove that students need to master basic theoretical knowledge and cultivate certain analytical skills to solve trigonometric functions.After studying the teaching of trigonometric functions in middle schools and analyzing the problem-solving of trigonometric functions in middle schools,the following conclusions will be drawn: teachers need to pay attention to cultivating students' interest in learning concepts,properties,formulas and theorems when teaching trigonometric functions.Incorporate conceptual teaching into the background familiar to students in real life.When teaching,don't ignore the benefits of mistakes.Students should be guided to correct the wrong understanding.Everything has both pros and cons.Taking mistakes as a mirror can make students more impressed with correct concepts and definitions.In teaching,we must pay attention to the main line,discard irrelevant knowledge points,and grasp the main context.When using trigonometric functions to solve problems,students need to pay attention to connecting with reality,introducing the idea of combining numbers and shapes to simplify complex problems and make abstract problems more vivid,so as to optimize the way of solving problems and accelerate the speed of disintegration.And to adapt to a variety of methods to solve the problem,to master a variety of methods to solve the problem,to be able to choose the best solution to solve the problem.