A Comparative Study Of The Content Of Inequalities In High School Mathematics Between China And The United States And Japan

Mathematics is the core of school education,and the mathematics teaching material is the base and basic carrier of education.From the comparison of domestic multi-edition textbooks to international textbooks,the field of mathematical education reform has been expanding,and the effect of promoting learning and communication in the context of a large background has already been met.In this paper,we select the static texts of qualitative analysis and quantitative analysis of the Chinese teaching A-type teaching materials,the American Prentice hall mathematics Algebra teaching materials and the Japanese educational materials.This study mainly focuses on the layout design of the three editions of textbooks,the overall structure,the order arrangement,knowledge presentation,knowledge background and difficulty of three exercises.The research mainly adopts the methods of literature analysis,comparative study and statistical study,combined with the knowledge block diagram,EXCEL spreadsheet and other auxiliary tools to make macro comparison and micro comparison of the inequality content.The six-point conclusion is as follows:(1)The textbook layout of the American PH edition is exquisite,and the color and layout of the textbook in China are relatively single.(2)The textbook of our country is strict in style,but it lacks the links to highlight the characteristics of the materials.(3)The textbook of our country has a strong integrity,but it is short of systematic and logical.(4)The textbook of our country is diversified,but lacks of knowledge experience.(5)The textbook of our country is relatively lacks of cultural background and scientific background.(6)The structure of exercises in the textbook of our country is irrational and the overall difficulty is low.According to the results,the following six suggestions are put forward to optimize the textbook of China:(1)Appropriately increase the elements such as photography illustrations to catch the students' eyeballs with wonderful layout.(2)Supplementing pre-holiday goal guidance,improving details and highlighting the characteristics of the materials.(3)To pay attention to the structure of the content arrangement of the inequality,and to keep abreast with logic.(4)To emphasize the process of knowledge development and to coordinate the balance of knowledge presentation.(5)Appropriately enriching the cultural and scientific background of knowledge to make it more readable and useful.(6)Optimize the structural system of example exercises and rationally adjust the overall difficulty of the sample questions.