高中数学教材“随机变量及其分布”的内容比较研究——以人教A版和苏教版为例

A Comparative Study of the Content on “Random Variables and Their Distributions” in High School Mathematics Textbooks—Taking the PEP A Edition and the Jiangsu Education Press Edition as Examples

摘要: 文章以“一标多本”的教育政策为背景，对人教A版和苏教版两本高中数学教材中“随机变量及其分布”这一章节进行了系统性的比较研究。研究从知识结构、概念引入、习题设计、语言风格及核心素养渗透五个维度展开。研究发现，两版教材虽均遵循国家课程标准，但在编写理念和风格上存在显著差异：人教A版知识结构严谨，注重逻辑推理，常采用“定义先行”的方式引入概念；而苏教版更侧重知识整合与实际应用，常采用“问题驱动”的方式引入概念，并包含更多生活情境的习题。该研究旨在为教师理解和使用不同版本的教材、整合教学资源以发展学生的核心素养提供参考。

Abstract: Against the backdrop of the “one standard, multiple textbooks” educational policy, this paper conducts a systematic comparative study of the chapter “Random Variables and Their Distributions” in two high school mathematics textbooks: the People’s Education Press (A Edition) and the Jiangsu Education Press (Su Edition). The study examines five dimensions: knowledge structure, concept introduction, exercise design, language style, and the integration of core competencies. The study found that while both editions adhere to the national curriculum standards, they exhibit significant differences in their editorial philosophies and styles: the People’s Education Press (A) Edition features a rigorous knowledge structure, emphasizes logical reasoning, and often introduces concepts through a “definition-first” approach; in contrast, the Jiangsu Education Press Edition places greater emphasis on knowledge integration and practical application, frequently employs a “problem-driven” approach to introduce concepts, and includes more exercises based on real-life scenarios. This study aims to provide guidance for teachers in understanding and utilizing different textbook editions, as well as in integrating teaching resources to foster students’ core competencies.