摘要
反例是数学学习中的重要内容,通过反例的辨析可以深刻理解相关的数学概念,分析问题解决中的问题,更好地掌握数学定理、公式,并灵活应用于新情境.本文通过理论分析和案例研究,探讨了反例在高考和竞赛中的应用、反例在课标中的地位及心理学的意义和反例在实际教学中的应用.
Counterexample is an important content in mathematics study. It can deeply help understanding the related mathematical concepts, anglicizing the problems in the problem solving, better grasping mathematical theorems, formulas, and flexible, and applying in the new situation. Through theoretical analysis and case study, this paper discusses the counterexample application in the college entrance examination and competition, the importance in the curriculum, the significance of psychology, and the cases of application in practical teaching.
作者
曾春燕
姚静
Zeng Chunyan Yao Jing(Department of Mathematics, Guangdong Preschool Normal College in Maoming, Maoming Guangdong 525200 Department of Mathematics, South China Normal University, Guangzhou Guangdong 510631)
出处
《首都师范大学学报(自然科学版)》
2017年第4期18-23,共6页
Journal of Capital Normal University:Natural Science Edition
基金
广东省教育科学"十二五"规划2015年度教育信息技术研究项目(15JXN023)
茂名市教育科学"十二五"规划2015年度研究项目(mjy201555)
关键词
反例
反例教学
高考
竞赛
counterexample, the teaching of counterexample, the college entrance examination, competition