数学史与现代数学课堂的融合——以人教A版“等比数列”为例
The Integration of the History of Mathematics into Modern Mathematics Classrooms —Taking the Example of “Isoperimetric Series” in the People’s Education Press A Version

数学史融合了数学与历史的精髓，无论是西方历经数百年的“七艺”教育体系，还是中国源远流长的“六艺”教育传统，数学始终占据着核心地位。本文以人教A版教材中的“等比数列”为案例，首先探讨了数学史融入数学课堂的理论基础，然后探讨了将数学史融入等比数列课堂的教育价值及其在人教A版教材中的呈现位置。继而，文章分析了数学史融入教学的多种方式，包括点缀式、附加式、复制式、顺应式和重构式，并提供了相应的实例。最终，文章以等比数列为例，深入分析了将数学史融入数学课堂的教学设计。
The history of mathematics integrates the essence of mathematics and history. Whether it is the centuries-old “Seven Arts” education system in the West or the long-lasting “Six Arts” education tradition in China, mathematics has always occupied a central position. This article takes the example of “isoperimetric series” in the textbook of the People’s Education Press A Version as an example, the theoretical basis for integrating the history of mathematics into the mathematics curriculum is first explored, and then the educational value of integrating the history of mathematics into the isoperimetric series classroom and its presentation location in the People’s Education Press A Version of textbook is explored. Then, the article analyzes various ways of integrating the history of mathematics into teaching, including embellishment, attachment, copying, conformity and reconstruction, and provides corresponding examples. Ultimately, the article analyzes in-depth the instructional design of integrating the history of mathematics into the mathematics classroom by taking the isoperimetric series as an example.