摘要
"黄金分割"作为初中数学选修课中的教学内容,自身拥有极其丰富的文化背景,是学生体会数学文化,感悟数学美的机会.往往这样的数学课程很容易上成纯粹的"美术课"、"欣赏课",学生很难从数学上体会到美感,也不知道数学美何在?基于这样的考虑,本文先从学生的直接经验(模特腿较长产生的美感)导入本课,接着从数学理论上分析"美"之所在,使学生初步感受数学美.借助比例线段知识得到黄金数,再由此过程中产生的比例方程引发连分式,体会有限与无限的联系.最后利用"黄金分割"解释生活中的现象,培养学生的应用意识.通过整个过程,使学生体会数学与生活以及数学内部之间的联系,从中产生数学美.
＂Golden section＂ as elective courses at junior middle school mathematics, extremely of rich cultural background, that is a chance to make the student experienced mathematical culture and to fell the mathematical beauty. In most cases, such course is easily to be art class or appreciation class. Students are difficult to mathematically realize beauty and don＇t know where the beauty is？ Based on such consideration, this article use the student＇s directly experience （Model has longer legs to produces aesthetic feeling） into this class. Then, from the point of view of the mathematical theory to analysis the beauty, make the students fell beauty. Through the knowledge of the ratio can get gold number, through the ratio equation cause continued fraction, realize the contact between finite and infinite. Finally, use ＂ Golden section＂ to explain phenomena of life and to develop students＇ application consciousness. Through the whole process, make the students to understand the connection between mathematics and the life and it＇s own, to produce mathematical beauty.
出处
《首都师范大学学报（自然科学版）》
2014年第6期28-32,共5页
Journal of Capital Normal University：Natural Science Edition
关键词
数学美
黄金分割
黄金数
连分数
mathematical beauty, golden section, golden number, continued fraction.
