摘要
培养学生系统地掌握高等代数研究问题的基本方法是高等代数课的教学目的之一.高等代数中有代表性的的5种基本方法包括:严格的逻辑推理方法、公理化方法、结构化方法、矩阵表示方法和等价分类方法.了解这5种方法的具体含义和在高等代数中的具体应用对高等代数教学是十分有益的.
One of the teaching purposes is to train students to master basic study methods in the course of Advanced Algebra. In this paper, we analyze five basic methods in Advanced Algebra, including strict logical reasoning method, axiom method, structural method, matrix representation method and equivalent classification method. The meaning of these five kinds of methods are explained. For each method we use some examples to clarify their specific application in Advanced Algebra. Then we give some studies on how to effectively implement these five basic methods into each chapter in Advanced Algebra.
出处
《数学教育学报》
CSSCI
北大核心
2014年第2期6-8,共3页
Journal of Mathematics Education
基金
陕西省高等代数精品课程资助项目——高等代数精品课程(884275)
陕西师范大学高等代数精品资源共享课资助项目——高等代数精品资源共享课(884355)
关键词
高等代数
基本方法
有效教学
advanced algebra
basic method
effective teaching
