综合法、分析法、反证法与数学归纳法在高等代数中的应用  

The Application of Synthesis, Analysis, Proof by Contradiction and Mathematical Induction in Advanced Algebra

作　　者：郜博 谭希丽[1] 孙佩宇[1] 

机构地区：[1]北华大学数学与统计学院,吉林 吉林

出　　处：《教育进展》2023年第6期3953-3959,共7页Advances in Education

摘　　要：综合法、分析法、反证法、数学归纳法在高等代数中经常出现,是本篇文章讲述的重点。本文通过给出概念、直观理解,到举例应用、加深理解,再到归纳特征、做出总结的方式向学生们讲述。Comprehensive method, analytical method, paradoxical method and mathematical induction often appear in higher algebra, which is the focus of this article. This article explains to students by providing concepts, intuitive understanding, example application, deepening understanding, and then summarizing features and making summaries.

关 键 词：数学推理方法 高等代数 思维能力 文化素养 

分 类 号：G63[文化科学—教育学]