# How (not) to memorise mathematics

Many excellent Math students after leaving universities more than 10 years forget 90% of math they learned, save some primary school arithmetics – few could do Singapore PSLE Modelling Math or solve quadratic equations.

The “Story-Telling” memory technique via “Signposts” can be used to reconstruct math from first principles:

https://medium.com/@fjmubeen/how-not-to-memorise-mathematics-98fef71aefcf

Note: Lewis Carroll: the author of “Alice in wonderland”

Cambridge Professor Tim Gowers (Fields Medalist) suggested the similar pedagogy of “Memorise by First Principles”.

# Math drives Biology

Does it ring a bell to biologists that viruses are mathematically structured objects ? such as the deadly SARS virus with a beautiful icosahedral symmetry.

Icosahedron corresponds to the “Unsolvable Quintic equation (degree 5 and above) with no radical root”, which led the 19 CE young French math genius Evariste Galois to invent “Group Theory” – a revolutionary foundation of the Modern Math.

The problem is few biologists or doctors are good in math, and rare are mathematicians knowledgeable in Biology and Medicine.

https://futurism.com/math-help-treat-diseases-develop-better-vaccines/

# Scala Monads: Declutter Your Code With Monadic Design

**Monads **~ “Design Pattern” in Functional Programming

Examples: “Option”, “Some”,…

# The Ring Z/nZ, Fermat Little Theorem, Chinese Theorem (French)

Revision: Modular Arithmetics

(1/2) Fermat Little Theorem

(1/2) **Chinese Theorem**

** **(Note: This is the “RING” foundation of “The Chinese Remainder Theorem” which deals with remainders )

# Modular Arithmetics (French)

Arithmétique modulaire

Cours math speciale = 2nd Year of Classe Préparatoire

L’anneau Z/nZ, niveau introduction,

[Partie 1/2]

**[Partie 2/2]: Z/nZ**

# Ideal Math Education

C = Chinese 中文 = Primary school Arithematics sans “Algebra” (= Singapore Modeling Math). Abacus-Algorithmic thinking.

E = English = Secondary School Math

=> Applied, Tricky, Math Olympiad-style

=> Engineering, Business, Applied Science.

F = Français (French) = High-school / Baccalaureate & University Math = Theoretical, Abstract

=> Rigorous Math Philosophy for Advanced Concepts

=> New frontier Scientific Research.

**Why (C+E) **?

C + E = Basic Math Foundation.

**Why * F** ?

If multiply by Theoretical F, like flying with added wings (如虎添翅)。

However,

if (C+E) -> 0 (less applied), or

if F -> 0 (lack theories),

then Total Math Education -> 0.