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类比法在“大学数学”教学中的应用
引用本文:崔海波.类比法在“大学数学”教学中的应用[J].教育教学论坛,2022(8).
作者姓名:崔海波
作者单位:华侨大学数学科学学院
基金项目:2019年度华侨大学中央高校基本科研业务费专项资金资助“流体—粒子模型的一些数学问题”(ZQN-701)。
摘    要:类比方法是用已有的知识和已掌握的技能去解决新问题,从而加深学生对新知识的理解,促进学生对新规律的认识;找出问题、探究问题、解决问题,有助于思想、方法和技巧的开拓与延伸。类比法对提高教学效果和培养学生的创新意识是十分必要的,也是课程改革所倡导的。介绍类比式教学的基本概念,分别大学数学的基础学科和应用学科两类课程来以类比式教学方法的使用情况。运用好类比式教学法将有助于学生加深对数学课程的认识,形成系统全面的知识体系。

关 键 词:类比式教学  大学数学  基础数学  应用数学

Application of Analogy Method in University Mathematics Teaching
CUI Hai-bo.Application of Analogy Method in University Mathematics Teaching[J].jiaoyu jiaoxue luntan,2022(8).
Authors:CUI Hai-bo
Institution:(School of Mathematical Sciences,Huaqiao University,Quanzhou,Fujian 362021,China)
Abstract:The role of the analogy thinking method in the teaching of university mathematics cannot be underestimated.The main method is to solve new problems with existing knowledge and skills,so as to accelerate students’understanding of new knowledge and promote their understanding of new laws.Finding problems,exploring problems and solving problems help develop and extend ideas,methods and skills,which is necessary to improve teaching effect and cultivate students’innovation consciousness,and is also advocated by curriculum reform.This paper first introduces the basic concept of analogy teaching,and then introduces the use of analogy teaching methods with two categories of basic subject and applied subject courses of university mathematics,respectively.A good use of the analogy teaching method helps students better understand mathematics courses and form a systematic and comprehensive knowledge system.
Keywords:analogy teaching  university mathematics  basic mathematics  applied mathematics
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