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反例在中学数学教学中使用情况的调查研究
引用本文:曾春燕,姚静.反例在中学数学教学中使用情况的调查研究[J].数学教育学报,2012(3):51-53.
作者姓名:曾春燕  姚静
作者单位:广东石油化工学院高州师范学院数计系;华南师范大学数学科学学院
摘    要:反例在数学中占着较为特殊的地位,尤其在新课标中对反例做出了相关建议,在各种考试也考察了对反例的构造能力.然而,目前数学反例的使用中主要存在以下几个问题:教师自身对数学反例的了解不深刻,缺乏良好的数学反例的教学观;教师没有掌握构造反例的方法,不能系统地教给学生反例的思维;教师获取反例的途径很多,但最主要的途径是从教材及教材参考书和自己的经验所得,很少自己主动去从其它渠道获取;大部分的教师都是在平时教学过程中适当地穿插使用反例.

关 键 词:数学反例  使用情况  构造  调查研究

Investigation and Study of the Usage of Mathematical Counter Examples in Mathematics Teaching
ZENG Chun-yan,YAO Jing.Investigation and Study of the Usage of Mathematical Counter Examples in Mathematics Teaching[J].Journal of Mathematics Education,2012(3):51-53.
Authors:ZENG Chun-yan  YAO Jing
Institution:1.Department of Mathematics and Computer,Gaozhou Normal College,Guangdong University of Petrochemical Technology,Guangdong Maoming 525200,China; 2.Department of Mathematics,South China Normal University,Guangdong Guangzhou 510631,China)
Abstract:Mathematical counter examples occupy a special position in teaching;especially these are relevant recommendations about counter examples in the new curriculum standard.As well as in the various examinations it examines the capacity of structuring counter example.However,the current mathematics counter-example usage mainly has the following problems: Teachers know a little about mathematical counter examples and are lack of good mathematics counter-example teaching view;Teachers do not have the capacity of structuring counter example,and can not systematically teach students reverse thinking;Teachers get counter examples most from the teaching materials and their own experience,but rarely from other channels;most of the teachers use counter examples in teaching.
Keywords:mathematical counter examples  usage  construction  investigation and study
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