基于APOS理论的数学概念教学设计——以“指数函数的概念”为例
Teaching Design of Mathematical Concepts Based on APOS Theory—Taking “The Concept of Exponential Function” as an Example

概念学习是数学学习的出发点，APOS理论是一种基于建构主义的学习理论，是很好的概念学习的理论模型。文章采用文献研究法和文本分析法，以APOS理论为基础，进行指数函数概念的教学设计，旨在帮助学生经历“活动、过程、对象、图式”四个阶段，深度理解知识和主动建构知识。最后提出了在概念教学中教师应注重概念引入生活性、学生学习主体性和知识体系建构性的教学建议。
Concept learning is the starting point of mathematics, and APOS theory is a learning theory based on constructivism, which is a good theoretical model of concept learning. The article adopts the literature research method and text analysis method, based on the APOS theory, to carry out the teaching design of the exponential function concept, aiming at helping students to go through the four phases of “activity, process, object, schema” to deeply understand the knowledge and actively construct the knowledge. Finally, it is proposed that in conceptual teaching, teachers should focus on introducing concepts into life, emphasizing students’ subjectivity in learning and the constructiveness of the knowledge system.