向量组线性相关性概念的微课设计

Micro-class Design for Teaching Linear Dependence

本文基于HPM视角来设计“向量组线性相关性”这节微课,采用历史上欧拉提出的“线性方程组中是否存在多余方程”的问题组织教学.根据知识发展的过程设计教学活动,环环相扣,形成一个引导学生步步深入的“链”,让学生在探索新知的过程中感受数学的美和数学的趣味性.

This paper utilizes the Historical Pedagogy of Mathematics(HPM)approach to create a micro-class focusing on“linear dependence of vectors.”It centers the teaching around Euler's historical inquiry into identifying redundant equations in linear systems.Through a structured series of activities aligned with the evolution of mathematical knowledge,students are guided step-by-step to appreciate the beauty of mathematics while exploring new concepts.