摘要
鸡兔同笼问题在我国历史上历经千年,被记栽至今。通过各种算法的梳理与比较,研究者可挖掘出其算法中蕴含着的辩证思维,包括是非相容、异同转化以及正反问题。辩证思维是基于辩证逻辑的思维形式,区别于以形式逻辑为基础的思维形式。这些内容将会丰富数学课程与教学的思想性和文化性。
The math problem of “chickens and rabbits in a cage” has existed for more than 1,000 years in Chinese history.Through the summary and comparison of various algorithms, the dialectical thinking contained in the algorithm, which includes the solutions of co-existing of diversities, transferring of diversities and inverse problems, is unearthed.Dialectical thinking is a form of thinking based on dialectical logic, which is different from the form of thinking based on formal logic.These contents will raise the level of ideology and culture of math courses and teaching.
作者
郜舒竹
Gao Shuzhu(Elementary Education College,Capital Normal University,Beijing 100048,China)
出处
《课程．教材．教法》
CSSCI
北大核心
2019年第9期88-93,共6页
Curriculum，Teaching Material and Method
关键词
鸡兔同笼
辩证思维
数学文化
数学思想
形式逻辑
chickens and rabbits in a cage
dialectical thinking
math culture
mathematical thought
formal logic
