从两道竞赛题看数学归纳法  

Research on Mathematical Induction by Two Competition Problems

作　　者：许宁[1] 

机构地区：[1]南京政治学院基础部,江苏南京210003

出　　处：《江苏第二师范学院学报》2016年第12期51-54,共4页Journal of Jiangsu Second Normal University

摘　　要：数学归纳法是证明某些确定型命题的强有力工具.借助两道竞赛题阐述了其学术形态和教育形态,表明归纳法的教育形态是解决问题,启迪心智的有效途径,因而在课堂教学中要重视挖掘归纳法的教育形态.Mathematical induction is a powerful tool for proving certain types of mathematical statements.In this paper,with the help of two competition problems in mathematics,we expound the academic forms and education forms with respect to mathematical induction,and show that the education forms are effective ways to solve problems and enlighten the mind.Therefore one should pay attention to excavating the education forms of mathematical induction in classroom teaching.

关 键 词：数学归纳法 学术形态 教育形态 

分 类 号：O171[理学—数学]