【摘要】 本文以科学核心素质的培养为导向，探究常数项级数及其应用的教学设计.从平面图形面积的计算出发，抽象出常数项级数的相关概念及其要点，并结合无穷级数的发展史巩固基础知识.再从理论分析、数值模拟、几何直观等多方面理解常数项级数的敛散性判别，并巧设生活和专业相关题目，以感受常数项级数的应用价值.该设计推动学生深度参与课堂、深度学习常数项级数知识，有效训练和提升科研思维方式.更多还原

【Abstract】 This paper explores a teaching design for series of constant terms aimed at cultivating scientific literacy. Beginning with geometric area problems, key concepts are introduced and reinforced through historical context. Convergence is examined via theoretical analysis, numerical simulation, and geometric intuition, while real-life and professional applications are incorporated. The approach promotes active participation, deep learning, and the development of scientific thinking.更多还原