高中数学人教A版和苏教版教材数学文化比较研究——以“概率与统计”为例

A Comparative Study on Mathematical Culture of High School Mathematics between People’s Education A Edition and Jiangsu Education Edition Textbooks—Taking “Probability and Statistics” as an Example

摘要: 教材是学习者获得知识的重要媒介，数学文化是数学教材中的重要组成部分。数学课程内容在注重结构优化，突出主体的同时也要注重数学文化的渗透。为了解数学教材中数学文化分布情况，促进数学文化融入数学课堂，研究以人教A版和苏教版高中数学教材为对象，从数学文化栏目分布、数学文化类型、数学文化运用水平三个方面对概率与统计内容进行对比分析。基于此，对教学教材编写提出几点建议：教材要加强跨学科整合；加强数学学科与其他学科的联系；加强数学知识与文化背景的联系；全面发挥数学文化的功能。

Abstract: Textbooks are an important medium for learners to acquire knowledge, and mathematical culture is an important component of mathematics textbooks. The content of mathematics courses should not only focus on structural optimization and highlight the subject, but also pay attention to the infiltration of mathematical culture. In order to understand the distribution of mathematical culture in mathematics textbooks and promote the integration of mathematical culture into mathematics classrooms, this study focuses on the distribution of mathematical culture columns, types of mathematical culture, and application level of mathematical culture in high school mathematics textbooks published by People’s Education Edition A and Jiangsu Education Press. A comparative analysis of probability and statistical content is conducted from three aspects. Based on this, several suggestions are proposed for the compilation of teaching materials: textbooks should strengthen interdisciplinary integration; strengthen the connection between mathematics and other disciplines; strengthen the connection between mathematical knowledge and cultural background; and fully leverage the functions of mathematical culture.