数学观察能力的应用策略案例探析——以高中排列组合复习课为例  

Study on Application Strategy of Mathematical Observation Ability:Taking Review Class of Permutation and Combination in High School as an Example

作　　者：刘金旺[1] 刘慧琳 李冬梅[1] LIU Jinwang;LIU Huilin;LI Dongmei(School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan 411201,China)

机构地区：[1]湖南科技大学数学与计算科学学院,湖南湘潭411201

出　　处：《当代教育理论与实践》2020年第4期1-5,共5页Theory and Practice of Contemporary Education

基　　金：湖南省2019年普通高校教学改革研究项目(2019-291-477)。

摘　　要：中学数学解题教学观察是教学观察中一种具体类型。排列组合问题是高中数学中的一个难点,在解答这类问题时,首先必须仔细观察和分析问题的条件与细节,根据是否存在顺序关系,判断问题的类型是属于排列还是组合;其次要把握问题的本质特征,采用合理、适当的方法来观察处理问题。本案例总结了12种常用解排列与组合题的观察策略。The observational skill in mathematics problem-solving is one of the specific teaching methods in high schools.When solving permutation and combination problems,which are difficulties of high school mathematics,it is necessary to carefully observe and analyze the conditions and details of the problems first,and judge whether the type of the problem belongs to permutation or combination according to the order relation.Second,it is of necessity to grasp the essential characteristics of the problems and adopt reasonable and appropriate methods to deal with the problems.This paper summarizes twelve kinds of common observation strategies for solving permutation and combination problems.

关 键 词：解题观察力 排列与组合 应用与培养 

分 类 号：G633.6[文化科学—教育学]