基于高中数学“三角函数”新旧教材的多维对比分析

Comparative Analysis of Trigonometric Functions between Old and New High School Mathematics Textbooks

摘要: 教育改革和素质教育推进的目的是为了提高教育质量和学生综合素质。教材作为教育教学实施的重要工具，也随着教育改革和素质教育的推进不断更新。本文选取人教版2004年、2019年两版高中数学教材中“三角函数”部分作为研究对象，主要从教材的结构编排、章节导入、教材内容、例习题、数学史五个维度进行对比。通过分析得出结论：新教材与旧教材相比，更加凸显知识间的联系；新教材更加关注概念、命题形成的科学性和严谨性；新教材更加注重教学过程的简洁性，删繁就简，删去了许多不必要呈现的知识，也精简了习题；更加强调对于研究方法的学习。

Abstract: The purpose of educational reform and quality education is to improve the quality of education and the overall quality of students. As an important tool for educational implementation, text-books are also constantly updated with the promotion of educational reform and quality educa-tion. This paper selects the “trigonometric functions” section of the 2004 and 2019 editions of the People’s Education Press high school mathematics textbooks as the research object, mainly comparing the structure, chapter introduction, content, example exercises, and mathematical history between the two editions. By analyzing the data, it is concluded that the new textbooks highlight the connections between knowledge more than the old textbooks. The new textbooks pay more attention to the scientific and rigorous formation of concepts and propositions. The new textbooks focus on the simplicity of the teaching process, trimming unnecessary knowledge and simplifying exercises. The new textbooks also emphasize the learning of research methods.