The above survey was 2009 USA Job Market.
By 2018, Number 1 Job is AI / Data Scientist in USA / China / Europe high-tech market, which still needs Mathematics. eg.
- Linear Algebra (Matrix)
- Calculus (eg. Gradient descent, …)
- Bayesian Statistics (Probability),
- Algebraic Topology (eg. Homological Algebra, etc),
- Abstract Algebra (eg. Category Theory, etc…)
French Math is unique in treating these 3 conic curves: (ellipse, parabola, hyperbola), always starts from the first principle – a la the Cartesian Spirit “I think therefore I am” (我思故我在).
“Catersian” Analytical Geometry was co-invented by two 17CE French mathematicians René Déscartes and Pierre de Fermat.
Note: The “elliptic curve” is a powerful geometry tool used in Number Theory (proved the 350-year-old Fermat’s Last Theorem in 1994 by Andrew Wiles), also in the most advanced Encryption algorithm.
Cédric Villani (Field Medal 2010) the French mathematician becomes a deputé (equivalent to Member of Parliament) in President Emmanuel Macron’s new party “En Marche” consisting of 90% non politicians.
His new revolution in French Primary School Math Education is introducing “Singapore Math” : the 1960s Chinese Secondary School One Math (算术 Arithmetic) modified by the ex-Nantah (南大, now Nanyang Technological University) Prof Lee Peng Yee (李秉彝) with the Polya Problem Solving Method aided by visual Model diagrams.
France excels in Abstract (aka New / Modern / Bourbaki) Math but poor in Applied Math, while Asian countries (China, Singapore, Korea, Japan etc) are opposite. This demonstrates clearly in the Asian 15-year-old students scoring Top PISA Math Tests & Math Olympiad Championships (even in the USA teams), while the French young Mathematicians (< 40 years old) take 1/3 of the world’s Field Medals – “the Nobel Prize of Math”.
It is ideal to combine the Asian (applied) Math pedagogy for Primary school (from 7 to 13 years old) math and the French (abstract) Math (eg. Set, Group, Ring, Field, Vector Space, epsilon-delta Analysis…) in high-school math (from 15 to 18 years old).
The wise Cédric Villani is just doing this Ideal Combination of “East and West” for French Primary School Math Education .
Note: In the video (12:12 mins) Villani described his “Eureka discovery” inspiration at 4 am in Princeton Institute of Advanced Math. The same experience found by many mathematicians eg. Poincaré, Zhang Yitang, etc. Read Villani’s book where he called this “Strange Head Voice” (definitely not hallucination!!) experience as “The direct phone call from God “.
这位中国留英数学专业的小伙子有很好的口才: 数学之美, 他的数学遗憾。
华威大学（The University of Warwick)，famous for mathematics in UK.
Einstein用 Riemann Geometry 数学救了Newton 物理。
3位大师救近代中国数学: 华罗庚, 陈省身, 苏步青
数学光明的未来: AI, Big Data, Cloud Computing
时代的”指数” exponential快脚步, 不要追风, 要一以贯之 : Prof. Andrew Wiles proved 350-year-old “Fermat’s Last Theorem” (FLT).
[纠正]: Andrew Wiles 超过40岁, 没赶上Fields Medal, 只得个”奖励”。他看到椭圆(Ellipse)气球, 得到突破 FLT “工具”的灵感 – “Elliptic Curve” 。
数学是什么: 爱情, 艺术, 音乐, 科技
“Singapore Math” was a derivative of ancient Chinese Math, modified and combined with “Polya Problem Solving Method ” by a Singapore Professor Lee Peng Yee (李秉彝) from Nanyang Technological University (NTU)’s NIE (National Institute of Education). Prof Lee was the first batch of Nantah University 南洋大学 (the precursor of NTU) Math undergraduate in late 1950s, who obtained PhD Math in Queen’s University (Belfast).
In 2005 during his public Math Olympiad books launching seminar at NUS bookshop, the 70-year-old Prof Lee started his talk on the genesis of “Singapore Math” idea with this famous ancient Chinese Math “Chicken and Rabbits” (鸡兔问题)。
Comments on Singapore Math :
1. The Pros & Cons
Pros: Concrete Chinese Arithmetic , Polya Problem Solving Pedagogy, Visualisation with Models. PLUS: well trained Math teachers, “educated” parents (revision class for them) or hire private Math home tutor.
Cons: Lack abstract training for Primary 5 & 6 kids (11-12 years old ) in Algebra equations (postponed to Secondary 1 @13 years old). The Chinese (上海) kids start Algebra before Singapore kids. Also French kids start abstract (Set Theory) concepts earlier than Asian kids.
2. UK Textbooks follow Singapore Math
La remise du rapport Villani au Ministre de l’Education nationale Mr. Blanquer préconisant 21 mesures pour l’enseignement des mathématiques en France, a mis à l’honneur, par ricochet et par voix de presse, la méthode de Singapour pour l’apprentissage des maths.
Note: French Mathematician Cédric Villani (Fields Medalist 2010) joins President Macron’s Political Party as a deputé (= Member of Parliament).
Why are Singapore school kids so strong in Math ? (World #1 PISA Test in 2016)
“Every (Singapore) school is a good school” – Mr. Heng (Former Minister of Education of Singapore)
Current Baccalaureat Drawback:
- Study too many subjects,
- High Drop out
- Specialised on 4 major subjects – include compulsory French Literature (penultimate year before Bac) & Philosophy.
- ala British A-level on 4 Advanced Subjects (eg. For Science stream: 1. Math, 2.Physics, 3.Chemistry /& Biology, 4.Economics) + 1 “Ordinary” Subject (English General Papers) + Project (Social / current affairs)