The Teaching Research Of Trigonometric Function Based On The Idea Of Three Teachings

The new curriculum reform emphasizes the cultivation of core literacy.The introduction of the mathematics education concept of teaching thinking,teaching experience,and teaching expression(referred to as three teachings)can effectively promote the cultivation of students' mathematics core literacy and make mathematics core literacy truly integrate to the classroom.Trigonometric functions have many knowledge points and strong correlations.Teachers and students still have some difficulties in learning.Triangular functions with arbitrary angles are the core content of trigonometric functions,and they are also bridges connecting trigonometric related knowledge points.So it is very meaningful to study the trigonometric function of any angle.This article focuses on the following aspects of research:1.three teachings concept.By referring to relevant materials,arrange the theory of three teaching,which lays the foundation for the research on the teaching design of the triangular function from the perspective of the concept of three teachings.2.The history of trigonometric functions,By referring to relevant literature,to sort out the occurrence and development of trigonometry knowledge,in order to grasp the difference and relationship between acute trigonometric functions and arbitrary angle trigonometric functions.3.A survey of the teaching and learning status of triangular functions.Using the method of classroom observation,formulate a classroom observation table,choose two teachers to observe the teaching,and get the following teaching enlightenment:(1)the acute angle trigonometric function is the teaching basis of the trigonometric function of any angle;(2)the trigonometric function is A typical type of periodicity;(3)Teaching based on the student's recent development zone.Use teacher interview questionnaires and student test papers to sort out the problems that students are prone to in the learning process:(1)the understanding of the concept of trigonometric functions at any angle is not accurate enough;(2)the role of trigonometric function lines is not clear;(3)comprehensive application ability needs improvement.4.Teaching design of the concept of trigonometric function at any angle based on the three teachings concept.Under the guidance of related theories,the diversified instructional design of the arbitrary angle trigonometric function concept generation process was conducted,and the three instructional designs were analyzed to optimize classroom teaching and achieve the goal of cultivating students' core literacy in mathematics.