givdn any Triangle ABC, trisect each angle A,B,C, the 6 trisecting lines (2 each at A,B,C) meet at points M, N,Q inside.

Prove: Triangle MNQ is a regular triangle ?

Elementary Math

givdn any Triangle ABC, trisect each angle A,B,C, the 6 trisecting lines (2 each at A,B,C) meet at points M, N,Q inside.

Prove: Triangle MNQ is a regular triangle ?

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Prime Numbers since Euclid 2300 years ago remains a mystery today…

Riemann’s Hypothesis is the Top Conjecture Unsolved in 21st Century.

https://theconversation.com/why-prime-numbers-still-fascinate-mathematicians-2-300-years-later-92484

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.

“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:

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.

**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).

https://lepetitjournal.com/singapour/les-maths-singapour-une-methode-miracle-224015

**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)

That is one of the many such typical British Math tricks, which we liked to play in Secondary school Math games or Math Olympiad Competitions. The Abstract-thinking French Mathematicians are not interested in it, saying it is not “rigorous”.

I order a 9-inch Pizza but out of stock, the shop gives me 2 Pizzas of 5-inch instead, still at the same price, saying the extra 1 inch is free of charge.

Do I gain or lose ?

[Hint]: Do not scroll further down, till you revise the Primary school Math.