知识联动与扩展的发散式课堂构建研究——以重要极限教学为例
Research on the Construction of Divergent Classroom with Knowledge Linkage and Expansion—Taking the Teaching of Important Limits as an Example

课堂教学的核心是传授知识，但知识的传授不仅仅是把课本所载内容在课堂上复述出来，而是要将所授知识与相关知识进行联动与扩展，形成发散式的课堂，再进行讲授，使得课堂知识传授在更广阔的空间开展，达到全方位传递知识，并启发思维，激发创新探索意识和主动性的目的。本文以高等数学中两个重要极限教学为例，对知识联动与扩展的发散式课堂构建进行深入探讨。
The core of classroom teaching is to impart knowledge, but the transmission of knowledge is not merely about recounting the content from textbooks in class. Instead, it involves linking and expanding on the knowledge being taught to create a divergent classroom environment. This approach allows for a broader dissemination of knowledge, achieving comprehensive transmission and stimulating thinking, innovation, exploration awareness, and initiative. In the paper, it uses the teaching of two important limits in advanced mathematics as an example to delve into the construction of a divergent classroom that facilitates the linkage and expansion of knowledge.