基于APOS理论的“函数概念”的教学设计

Instructional Design of the “Function Concept” Based on the APOS Theory

摘要: 函数是高等数学的基础与逻辑主线，贯穿高等数学始终。既是高等数学的研究对象，也是实现各领域理论与应用相转化的关键工具。本文深入分析了理解函数的教学难点，以函数的概念为例，运用APOS理论开展教学设计研究，为突破这一教学重难点提供实践路径与参考方案。

Abstract: The function serves as the foundation and logical thread of higher mathematics, running through the entire discipline. It is not only the core research object of higher mathematics but also a key tool for transforming theories into applications across various fields. This paper conducts an in-depth analysis of the pedagogical difficulties in understanding functions. Taking the concept of functions as a case study, it explores instructional design based on the APOS theory, aiming to provide insights for overcoming this prominent teaching challenge.