民国时期国人自编三角学教科书中“三角函数”变迁

Transition of Trigonometric Functions in the Trigonometry Textbooks Compiled by Our Compatriots during the Period of Republic of China

三角学教科书中的"三角函数"在民国时期的不同阶段,呈现不同的特点.通过对课程标准的要求、内容设置的变迁、名词术语的变化等方面进行梳理,能够对当时三角学教科书有一个清晰的了解并折射出民国时期中国数学教育的一个侧面.从三角函数的定义方式、图像、诱导公式等方面看,其内容不断减少,难度有所降低.

In each period of the Republic of China, the trigonometric functions in trigonometry textbooks represent varial characteristics. Through sorting out the transition of the requirement of curriculum standards, contents and the usage of terms, we could get a vivid picture of trigonometry textbooks and something of mathematics education in Republic of China. In the textbook, the contents and difficulty had been reduced in the aspects of defination, image and formula of trigonometric functions.