基于弗赖登塔尔理论的对数运算AI辅助教学设计

AI-Assisted Instructional Design of Logarithmic Operation Based on Freudenthal Theory

摘要: 对数运算是高中数学的重要研究内容，如何使学生很好地理解和运用其解决实际问题是教学难点。弗赖登塔尔的教育理论可以为对数运算的教学指引方向。文章借助AI辅助教学，将弗赖登塔尔理论应用到对数运算的教学过程中，给出基于弗赖登塔尔理论(包括数学现实、数学化、再创造与反思)的对数运算教学设计，对于教育理念革新、提升教学效能、促进学生发展具有一定理论意义和实际价值。

Abstract: Logarithmic operation is an important research topic in high school mathematics. How to enable students to have a good understanding of it and apply it to solve practical problems is a teaching challenge. Freudenthal’s educational theory can provide guidance for the teaching of logarithmic operations. This paper applies Freudenthal’s theory to the teaching process of logarithmic operations with the aid of AI-assisted teaching, offering a teaching design for logarithmic operations based on Freudenthal’s theory (including mathematical reality, mathematization, re-invention, and reflection). This design holds certain theoretical significance and practical value for the innovation of educational concepts, the enhancement of teaching effectiveness, and the promotion of students’ development.