Comparative Study Of "Trigonometric Functions" Example And Exercises From The Perspective Of Core Literacy

Textbooks are the main medium for knowledge transfer in the teaching process,and are important tools for teaching.This article studies the "trigonometric function" example exercises based on the core literacy of mathematics.From the overall mathematical core literacy distribution of the example exercises in the textbook to the mathematical core literacy distribution of each question type,it is analyzed layer by layer to clarify the "trigonometric function" part of the third edition Similarities and differences,based on this thinking,provide corresponding suggestions for teacher teaching and student learning.By analyzing some examples and exercises of the "trigonometric function" of the three editions of the textbook,the following conclusions are mainly obtained:First,on the core literacy distribution of the example exercises.The three editions of textbooks are similar in the overall trend of the six core mathematical literacy.The topics in the textbooks are focused on mathematical operations and logical reasoning literacy,and less examination of mathematical modeling and data analysis literacy.The three editions of textbooks show consistency in the three levels of core mathematical literacy,mainly examining level one and level two.Among them,the difference between the weights of Level 1 and Level 2 of the Soviet teaching materials is the largest.Secondly,in the arrangement and quantity of example exercises.In terms of location arrangements: the human education A version of the textbook highlights the overall content of the "trigonometric function" content layout;the Soviet education version content layout focuses on the expansion and extension of knowledge;the Beijing Normal University version content layout is more detailed,emphasizing the student's subjectivity and the teacher's Guiding.In terms of the comparison of the number of example exercises:statistics show that the number of questions set for the Soviet Education Edition textbooks is the most,which is 319;the Beijing Normal University edition textbooks are the second,with 288;the teaching of the A version is the least,which is 237.Again,on the core literacy of various types of example exercises.The problem types of the example exercises are: subjective questions such as calculation,short answer,and proof questions;the drawing questions are mainly drawn with trigonometric functions;the inquiry questions are added with open inquiry reading questions.The core literacy comparison of various types of example exercises: the focus of core literacy examinations of different types of example exercises are different;the mathematical core literacy levels of core literacy examinations of different types of example exercises are different;the distribution of core literacy examinations of various types of example exercises in the three editions of textbooks different.