高中数学人教A版、人教B版和北师大版教材的比较研究——以“不等式”为例

A Comparative Study of High School Mathematics Textbooks: People’s Education Press Version A, People’s Education Press Version B, and Beijing Normal University Edition—A Case Study of “Inequalities”

摘要: 以人教A版、人教B版和北师大版教材中的“不等式”为例，通过对比教材内容分布、内容呈现方式和例题习题三个方面，得出结论：三版教材各具特色，人教A版系统连贯，人教B版注重类比，北师大版强调分散整合与文化融合；内容呈现方式方面，虽都按“正文–习题–小结”编写，但栏目设计不同，如人教B版有“情景与问题”，北师大版有“阅读材料”等。例习题设置中，人教B版题量最多；难度上，人教A版均衡，人教B版侧重数学理论和公共常识，北师大版与生活和公共常识联系紧密。基于此，建议教师依据教材特色教学，进行分层教学与个性化指导，并加强数学概念教学，以提高不等式教学质量，助力学生学习。

Abstract: Taking the “Inequalities” in the textbooks of People’s Education Edition A, People’s Education Edition B and Beijing Normal University Edition as examples, by comparing three aspects: the distribution of textbook content, the way of content presentation, and the examples and exercises, the following conclusions are drawn: The three versions of textbooks each have their own characteristics. The People’s Education Edition A is systematic and coherent, the People’s Education Edition B focuses on analogy, and the Beijing Normal University Edition emphasizes the dispersion, integration and cultural integration. In terms of the way of content presentation, although all are compiled according to the pattern of “main text-exercises-summary”, the column designs are different. For example, the People’s Education Edition B has the column of “Scenarios and Problems”, and the Beijing Normal University Edition has the “Reading Materials” and so on. In the setting of examples and exercises, the People’s Education Edition B has the largest number of questions. In terms of difficulty, the People’s Education Edition A is balanced. The People’s Education Edition B focuses on mathematical theories and common public knowledge, and the Beijing Normal University Edition is closely related to daily life and common public knowledge. Based on this, it is recommended that teachers teach according to the characteristics of the textbooks, carry out stratified teaching and personalized guidance, and strengthen the teaching of mathematical concepts, so as to improve the teaching quality of inequalities and facilitate students’ learning.