高中数学教材中“不等式”部分的对比研究——以人教A版、人教B版和北师大版教材为例

A Comparative Study of “Inequality” in Mathematics Textbooks of Senior High School—Taking the Textbook of Pep A, Pep B and Beijing Normal University as Examples

摘要: 教材作为教学的载体，在教学过程中起着承上启下的作用，故仔细对比不同版本教材的差异以帮助教师更深刻地理解教材帮助教学有着重要的作用，本文以不等式为例，以文献分析法，比较研究法，定量分析法对新课程标准下人教A版教材，人教B版教材以及北师大版教材进行对比，帮助教师理解教材，促进教学。下面从目录，知识形成、教学提示、课后习题、课程难度等几个方面对比研究三版教材中的“不等式”内容：其中三版教材都遵循课程标准，目录设置符合学生发展；注重知识的整体性、连贯性；教材提示帮助学习更深层次地理解知识，促进引导，帮助学生自我思考；习题内容丰富，注意培养和发展学生的数学应用意识。但各版本之间在目录，知识内容，教学提示，课后习题、课程难度方面各有不同的偏向，故教师在教学过程中可以结合不同教材所给出的不同方向帮助教师教学的进行，为教师的教提供不一样的思路。

Abstract: As the carrier of teaching, teaching materials play an important role in the teaching process, so it is very important to compare the differences of different versions of teaching materials to help teachers understand the teaching materials more deeply. Taking inequality as an example, this paper compares the teaching materials of People’s education under the new curriculum standards, such as A edition, B edition and Beijing Normal University edition, with the methods of literature analysis, comparative study and quantitative analysis, to help teachers understand the teaching materials and promote teaching. The following is a comparative study of the “inequality” in the three editions of the textbook from the aspects of the catalogue, knowledge formation, teaching tips, after-school exercises, course difficulty, etc., the teaching materials’ hint helps to learn the deeper understanding knowledge, promotes the guidance, helps the student to think by himself; the exercise content is rich and pays attention to the training and development of students’ awareness of the application of mathematics. But each edition has its own bias in contents, knowledge content, teaching hints, after-school exercises and course difficulty, therefore, teachers in the teaching process can combine different teaching materials given by the different directions to help teachers carry out teaching, and provide different ideas for teachers’ teaching.