高中数学人教A版、北师大版和苏教版教材比较分析——以导数及其应用为例

Comparative Analysis of High School Mathematics Textbooks from PEP Edition A, Beijing Normal University Edition, and Jiangsu Education Edition—Illustrated by the Content of Derivatives and Their Applications

本次教材比较研究主要选取了人教A版、北师大版以及苏教版高中数学教材中的“导数及其应用”为研究对象。通过比较分析体例结构和课程难度在三个不同版本上的差异,以此来为中学数学教学和教材的编写提供部分建议。研究发现在体例结构上三个版本的教材是由章导入、第N节知识点讲解、扩展阅读,章小结和复习参考题这五部分组成,其中差别较大的第N节知识点讲解;在课程难度方面人教A版、北师大版和苏教版教材“导数及其应用”的课程难度分别是0.317、0.505和0.429。最后,由此建议中学教师不要拘泥于一种教材的使用,而应该充分发挥各教材的优点,学生可以根据自己学习能力的不同选择与之匹配的教材作为参考学习,希望教材的编写者更加侧重于前沿数学软件的使用讲解。

This comparative study of textbooks mainly selects the “Derivative and Its Application” in the high school math textbooks of PEP Edition A, Beijing Normal University Edition and Jiangsu Education Edition as the research objects. By comparing and analyzing the differences in the structure and course difficulty among the three editions, it aims to provide some suggestions for high school math teaching and textbook compilation. The study found that the textbooks of the three editions are composed of five parts: chapter introduction, section N knowledge points explanation, extended reading, chapter summary and review questions. Among them, the section N knowledge points explanation is the most different. In terms of course difficulty, the difficulty of “Derivative and Its Application” in PEP Edition A, Beijing Normal University Edition and Jiangsu Education Edition is 0.317, 0.505 and 0.429 respectively. Finally, it is suggested that high school teachers should not stick to one textbook, but give full play to the advantages of each textbook. Students can choose the textbooks that match their learning ability as reference for learning. It is hoped that the authors of the textbook will pay more attention to the explanation of the use of the advanced mathematical software.