AI赋能高等数学跨学科项目式学习的实践探索——以导数在卫星轨道设计中的应用为例

Practical Exploration of AI-Empowered Interdisciplinary Project-Based Learning in Advanced Mathematics—Taking the Application of Derivatives in Satellite Orbit Design as an Example

摘要: 高等数学跨学科项目式学习是以高等数学知识为主要工具，与学科相关的真实问题为背景，设计项目任务单，引导学生进行项目探究，加深学生对知识的理解，提升学生跨学科思维和应用创新能力。AI技术的发展对教学带来重大变革。本文在AI赋能下重点探究跨学科项目学习在高等数学课程中的教学实践，以导数在卫星轨道设计中的应用为例，意在为高等数学教学改革提供借鉴与参考。

Abstract: Interdisciplinary Project-Based Learning (PBL) in Advanced Mathematics uses mathematical knowledge as the primary tool, set against the background of authentic discipline-related problems. By designing project task lists and guiding students through exploration, this approach deepens their understanding of knowledge and enhances their interdisciplinary thinking and innovative application abilities. The development of AI technology has brought significant transformations to pedagogy. Empowered by AI, this paper focuses on the teaching practice of interdisciplinary PBL in Advanced Mathematics courses. Taking the application of derivatives in satellite orbit design as an example, it aims to provide a reference for the reform of Advanced Mathematics education.