# 20CE 中学数学教育 (陈建功)

20世纪（1950s -1970s）的中国数学教育改革是迎合WW2 战后工业化, 影响我们中学数学 Secondary School Math (13-18 岁) 。

21世纪 (2000s – 2030s) 迎合的是 工业 4.0 (AI, Big Data, IoT, Fintech… )，中学数学改革 是什么呢？

https://m.toutiaocdn.com/group/6771961322671178247/?app=news_article_lite&timestamp=1576803223&req_id=201912200853420100140400930DC57A0B&group_id=6771961322671178247

Note ［*］: Henry Fine was the Founder of the Princeton Institute of Advanced Study (IAS) , who hired the first professor  – Albert Einstein.

］This 《葛氏平面三角》(Granville Trigonometry) text book was arcane and translated in ‘old’ Chinese (文言文).

Jewish / French Math vs German Math

The French “Bourbaki” School of Abstract Math (based on Set Theory as Foundation of ALL Math) influenced the post-WW2 French University Math Syllabus and 1970s Baccalaureate (High School) Math, led by the French Jewish Mathematicians Andre Weil et al, and (last batch) Jewish mathematician Grothendieck (who once proposed – but rejected – Category Theory to replace Set Theory) .

The leaders of the German ‘Gottingen School’ of Mathematicians, although learned from the French school masters (French Charles Hermite’s German student Lindemann, French Camille Jordan’s German student  Felix Klein), were more inclined to concrete math, eg. Gauss, Riemann, Hilbert, Dedekind, Noether, etc.

….

1. 基本代数结构 Basic Algebraic Structures: Group 群, Ring 环, Fields 域, Vector Space 向量空间.
2. Analysis 分析: Epsilon-Delta Calculus.
3. Affine Geometry 仿射几何
4. 减少一些老旧的中国数学教材（立体几何，复杂的 Trigonometry, … ），减轻学生负担。