关于保形变换教学中的“结合法”的探讨

ON THE APRELIMINARY PROBEINTO OF TO COMBINE THINKINGIN IN IMAGES WITH ABSTRACT THOUGHT OF TEACH SCHOOL OF"CONFORMAL MAPPING"

抽象性是数学的主要特点之一。因此抽象思维是研究数学的重要思维形式。但在某些学科(或某些内容)的教学上,若能抽象思维兼以形象思维并行,则能收到事半功倍的效果。本文是在《复变函数论》(简称《复函》较长时间教学改革实践基础上提出的一种行之有效的形象思维与抽象思维相互结合的教学方法(简称“结合法”)。是我们企图改变数学课堂教学抽象、枯燥局面的大胆试验,也是《复函》教学改革的初步尝试。“结合法”是针对保形变换这部分内容的特点而提出的,由两个有机部分组成。第一,将处理保形变换两类问题的思想分别概括成精练的口诀(简称“口诀法”;第二,

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