行列式计算教学中步进式例题设计及应用探讨  

Design and Application of Step-by-step Examples in the Teaching of Determinant Calculation

作　　者：王启明[1] 杨永富[1] 周忠国[1] WANG Qi-ming;YANG Yong-fu;ZHOU Zhong-guo(College of Science,Hohai University,Nanjing,Jiangsu China,210098)

机构地区：[1]河海大学理学院,江苏南京210098

出　　处：《教育教学论坛》2020年第44期298-300,共3页Education And Teaching Forum

基　　金：2019年度江苏省高等教育教改研究重点课题“基于工程教育专业认证的大学数学课程教学体系的探索与实践”(2019JSJG086)。

摘　　要：行列式计算是线性代数课程的基础及核心内容。行列式计算的特点是性质多,方法多,技巧多,内容散,学时短。该文探讨了在行列式计算教学中步进式例题设计及应用。通过一个相似例题不断修改、变换并计算的过程,整合大量计算技巧和信息,使得学生能在有限的学时中,逐步掌握多种性质和技巧,在潜移默化中培养基本的解题能力。经过多年在翻转课堂中的教学实践,证明该方法能让学生快速掌握行列式计算基本技巧,有效提高学生学习效率。Determinant calculation is the foundation and core of linear algebra course.Determinant calculation has the characteristics of many properties,many methods,many techniques,wide content and short credit time.This paper discusses the design and application of step-by-step examples in the teaching of determinant calculation.Through the multiple transformations of a similar example and the corresponding calculation process,many calculation skills and information are integrated,so that students can gradually master a variety of properties and skills in a limited period.Students’basic problemsolving abilities are improved imperceptibly by step-by-step examples.After years of teaching practice in flipped classroom,it has been proved that this method can help students quickly master the basic skills of determinant calculation and effectively improve their learning efficiency.

关 键 词：行列式计算 步进式例题设计 逐步能力培养 

分 类 号：O151.22[理学—数学]