Category Archives: math

PSLE Chinese Listening Exam (mrbrown) Very Funny!

Recently, there is a PSLE Chinese Listening Exam that does not make sense. Question: Student A bought a new clothes. Student B asks Student A: “You bought new clothes?” Student A said: ” No, it is sewn by my mother, … Continue reading

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Recommended Books for Spectral Sequences

So far the most comprehensive book looks like McCleary’s book: A User’s Guide to Spectral Sequences. It is also suitable for those interested in the algebraic viewpoint. W.S. Massey wrote a very positive review to this book. A User’s Guide … Continue reading

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Interesting Facts about Green’s Theorem

Firstly, Green’s Theorem is named after the mathematician George Green (14 July 1793 – 31 May 1841). Something remarkable about George Green is that he is almost entirely self-taught. He only went to school for one year (when he was 8 years … Continue reading

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Pierre-Simon de Laplace; French Newton

To increase your interest in mathematics, let me introduce the French mathematician Pierre-Simon de Laplace, also known as the “French Newton” or “Newton of France”. He helped to calculate projectile motion for Napoleon’s artillery. Laplace was also the examiner for Napoleon when … Continue reading

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5 Skills Students Need To Cope With School Pressures

According to an article published by the American Psychological Association (APA), many teenagers in the USA say they experience stress in patterns comparable to what adults go through. Teenagers also report higher stress levels than adults during the school year. … Continue reading

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Best Online Resources to Improve Your Math Skills

Best Online Resources to Improve Your Math Skills Although Maths is a compulsory subject in all the educational institutions all over the world, many students consider it as a complete waste of time and skip this issue, claiming that they … Continue reading

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An ancient Babylonian tablet known as Plimpton 322

Source: NY Times One of my favorite YouTube Math Professors, Norman Wildberger, has made a historical math discovery: that the ancient Babylonian tablet known as Plimpton 322 is actually a trigonometric table. “It’s a trigonometric table, which is 3,000 years … Continue reading

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Garry Kasparov Masterclass Review

Garry Kasparov Teaches Chess is the latest Masterclass by World Champion Garry Kasparov. I am sure that even from the trailer, you can see that it is of exceptional quality. According to the FAQ, “the class will test players with a … Continue reading

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The Summer 2017 Mathematics A To Z: Morse Theory

Originally posted on nebusresearch:
Today’s A To Z entry is a change of pace. It dives deeper into analysis than this round has been. The term comes from Mr Wu, of the Singapore Maths Tuition blog, whom I thank for…

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Education and the Blockchain – Should We be Teaching Blockchain in Schools?

Source: https://preply.com/ It goes without saying that tech progress is moving at a rapid pace. Futurists point to Moore’s law – the idea that tech capabilities double every two years – as evidence for tech’s expansion into nearly every facet of … Continue reading

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ZAPZAP : Math + Game

Originally posted on Math Online Tom Circle:
https://vulcanpost.com/613827/zapzap-math-malaysia-education-app/

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Mathematical Functions vs Programming Functions

Originally posted on Math Online Tom Circle:
Key Points: Pure Function Partial Function Total Function https://medium.com/the-accepted-forest/mathematical-functions-vs-programming-functions-cf4c7e6f9f4b

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Symmetry, Algebra and the “Monster”

Originally posted on Math Online Tom Circle:
Very good introduction of Modern Math concept “Group” to secondary school math students by an American high school teacher. https://www.quantamagazine.org/symmetry-algebra-and-the-monster-20170817/ Summary: Symmetry of a Square Isometry (*) or Rigid Motion (刚体运动) = no…

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Math Problem Solver – SymboLab

Originally posted on Math Online Tom Circle:
A new alternative to the UK Mathematica’s “Wolfram Alpha” online tool: http://www.makeuseof.com/tag/not-wolfram-alpha-solve-math-equation-symbolab/ https://m.youtube.com/watch?v=Dinl6I77AoU

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Son of taxi driver among this year’s President’s Scholars

Source: http://www.straitstimes.com/singapore/education/son-of-taxi-driver-among-this-years-presidents-scholars Mr Lee Tat Wei lives in a four-room flat in Woodlands. He and his older brother went to neighbourhood schools. His father is a taxi driver and his mother works as a part- time sales assistant. Despite his humble … Continue reading

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I’m a Rare Breed: An Elite Chess Player Who’s Open About His Faith

A nice interview by Wesley So, one of the top chess grandmasters from Philippines. On the small planet where elite chess players dwell, very few people worship Jesus Christ. If anyone discovers that you’re one of those “superstitious,” “narrow-minded idiots,” … Continue reading

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UK Textbooks à la Chinese / Singapore Math Style

Originally posted on Math Online Tom Circle:
[Original Financial Times Article] Google: UK maths books fail DfE test UK, USA, France are copying Chinese Math (from which the “Singapore Modeling Math” derived) in Primary schools, this proves my above-mentioned “Ideal…

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How (not) to memorise mathematics

Originally posted on Math Online Tom Circle:
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…

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Math drives Biology

Originally posted on Math Online Tom Circle:
https://youtu.be/X-8MP7g8XOE https://futurism.com/math-help-treat-diseases-develop-better-vaccines/

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

Originally posted on Math Online Tom Circle:
Revision: Modulus Arithmetics (1/2) Fermat Little Theorem https://youtu.be/UaF-piufq84 (1/2) Chinese Theorem (Note: This is the “RING” foundation of “The Chinese Remainder Theorem” which deals with remainders ) https://youtu.be/_xTSQu8Ft5I

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The scientist nuns: In pursuit of faith and reason

Source: Aleteia Making a career out of science, just like joining a religious order, requires dedication and discipline. Some tireless souls have managed to do both. In 1965, Mary Kenneth Keller became the first woman to obtain a PhD in … Continue reading

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Ideal Math Education

Originally posted on Math Online Tom Circle:
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 =…

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Theorem of the Day

Just to recommend this excellent website: Theoremoftheday where they feature one mathematical theorem each day. The nice thing is that each theorem is a one-page summary, good for getting acquainted with the theorem, and subsequently you may read it up in more … Continue reading

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Math Olympiad (Primary Schools) 一筐鸡蛋

Originally posted on Math Online Tom Circle:
One basket of eggs.1粒1粒拿,正好拿完。Remove 1 by 1, nothing left in basket. 2粒2粒拿,还剩1粒。Remove 2 by 2, one left in basket. 3粒3粒拿,正好拿完。Remove 3 by 3, nothing left in basket. 4粒4粒拿,还剩1粒。Remove 4 by 4, one left…

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Alternate Admission Route to NUS Computing

Source: http://www.straitstimes.com/singapore/education/nus-eyes-more-aptitude-based-admissions Good news to students who are interested to study Computer Science. There is now an alternative route for students who are short of the cut-off point (currently at least two A’s). To win a place on the increasingly popular … Continue reading

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Topology application to Physics

Source: https://www.scientificamerican.com/article/the-strange-topology-that-is-reshaping-physics/?W The Strange Topology That Is Reshaping Physics Topological effects might be hiding inside perfectly ordinary materials, waiting to reveal bizarre new particles or bolster quantum computing Charles Kane never thought he would be cavorting with topologists. “I don’t think … Continue reading

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What Would You Like In The Summer 2017 Mathematics A To Z?

Originally posted on nebusresearch:
Art courtesy of Thomas K Dye, creator of the web comic Newshounds. He has a Patreon for those able to support his work. I would like to now announce exactly what everyone with the ability to…

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How to do Proof by Cases in LaTeX

If one searches online, one will find many different methods to do “proof by cases” in LaTeX. The most simple and convenient method in my opinion is to use the description environment. Something like this: \begin{proof} Proceed by cases. \begin{description} … Continue reading

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What Is The Shape of the Universe (Video)

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(Important Changes) PSLE Math: Arrow -> vs Equal=

Source: Facebook For those taking PSLE, please take note of this important update regarding the difference between arrow and equal sign. Forward this to your friends taking PSLE! Basically, I think MOE is trying to instill students to be mathematically … Continue reading

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PhD Comic: 大智若愚

The new PhD Comic is related to the Chinese proverb: 大智若愚, which is roughly translated as “a wise man looks stupid.; great wisdom takes the looks of folly [appearance of stupidity]”.

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SG Education News: More places for Medicine Students

Good news for those aspiring to be medical doctors. Med school places to rise to 500 by next year The Straits Times The National University of Singapore (NUS) has had more than 2,000 top students fight for the 300 spaces … Continue reading

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Les Categories Pour Les Nuls

Originally posted on Math Online Tom Circle:
“Categories for Dummies” (French) https://youtu.be/LVHoROSF3KA Example 1: Paris (P) -> Rome (R) -> Amsterdam (A) Objects: cities {P, R , A} Morphism (Arrow): railway? Identity: railway within the city Associative: (P -> R)…

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Debate (French): Set Theory vs Category Theory

Originally posted on Math Online Tom Circle:
https://sites.google.com/site/logiquecategorique/dcm 4. Category, Logic and IT https://youtu.be/Shk3TNagC-4

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An Introduction to N-Categories

Originally posted on Math Online Tom Circle:
Tom Leinster N = 0 : 0-Cat? => Set, 0-morphism = function N= 1: 1-Cat? => Cat, 1-morphism = functor N= 2: 2-Cat? => 2-morphism = Natural Transformation ? ? Definition of n-Category:?…

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Category Theory : “How to Make Pi”

Originally posted on Math Online Tom Circle:
Dr. Eugenia Cheng – Professor of Category Theory (Chicago University) Author of the Best Selling Category Book Book : (for readers from 7-year-old to high school and undergraduate students) “How to Bake Pi…

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Program = Category 

Originally posted on Math Online Tom Circle:
2017 Keywords:? Category? Monad = Monoid + Endofunctor Category Theory is replacing Set Theory as the foundation of Math. Nowadays, ?few Advanced Math papers are written without using Category to explain, and this…

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Free tutoring app for peer-tutoring

Do try out the new app AsknTeach. Quite a good idea, the app creator reportedly invested more than $100,000 to $200,000 into it. Only problem I can foresee is that overall quality of answers may not be that good, since it … Continue reading

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Integral Domains 整环 (Abstract Algebra)

Originally posted on Math Online Tom Circle:
Remember when you cancel a common factor at both sides of an equation, you must check if the factor is non-zero, otherwise you would miss some answers. This is about Cancellation Law, related…

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South Korean Young Mathematician June Huh

Originally posted on Math Online Tom Circle:
A weak South Korean Math student?June Huh?becomes a top Mathematician in the Princeton Institute for Advanced Study by proving the Read’s Conjecture and Rota Conjecture. “A path less taken to the peak of…

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Summary: Shapes, radius functions and persistent homology

This is a summary of a talk by Professor Herbert Edelsbrunner, IST Austria. The PDF slides can be found here: persistent homology slides. Biogeometry (2:51 in video) We can think of proteins as a geometric object by replacing every atom by a … Continue reading

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Brain has 11 dimensions

One of the possible applications of algebraic topology is in studying the brain, which is known to be very complicated. Site: https://www.wired.com/story/the-mind-boggling-math-that-maybe-mapped-the-brain-in-11-dimensions/ If you can call understanding the dynamics of a virtual rat brain a real-world problem. In a multimillion-dollar supercomputer … Continue reading

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How to explain this math magic trick?

Quite impressive math magic trick, that even impressed the very strict judge Simon Cowell. I am not sure how he did it, other than possible prearranged volunteers. Another possibility is that the calculator is modified. Site: http://www.usmagazine.com/entertainment/news/americas-got-talent-contestant-performs-crazy-magic-trick-w488672 London had the volunteers … Continue reading

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Is There a Multi-dimensional Mathematical World Hidden in the Brain’s Computation?

Originally posted on Math Online Tom Circle:
“Algebraic Topology” can detect the Multi-dimensional neural network in our brain – by studying the Homology (同调) and co-Homology (上同调) with the help of Linear Algebra (multi-dim Matrix) & ?Computers. Homology = compute…

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What is math? 

Originally posted on Math Online Tom Circle:
What is Math ? https://infinityplusonemath.wordpress.com/2017/06/17/what-is-math/ Mathematics?= “that which is learned“ –(Pythagoras) Math is not about calculation, it is understanding the nature, the universe, the philosophy (logic, intelligence – both “human” and “artificial”)… What…

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Yitang Zhang’s Santa Barbara Beach Walk

Professor Yitang Zhang is a famous Math professor who made important progress in number theory (Twin Prime Conjecture). Most strikingly, he made this progress in his fifties, which is kind of rare in the mathematical world. Source: Quanta Magazine Yitang … Continue reading

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Finally received WordAds payout by WordPress

Thanks to all readers of mathtuition88.com, I have received WordAds payout by WordPress. Mathtuition88.com first joined WordAds in 01-2014, where the payout was quite miserable (less than $1 for 5000 views). The payout has since increased considerably, thanks to higher quality … Continue reading

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Singapore Math for  Primary School Kids

Originally posted on Math Online Tom Circle:
Singapore scores the 2017 PISA Test World’s First in Math. Below is the “Singapore Math” shown by an USA School adopting the pedagogy. https://youtu.be/SlAEvaxMzXQ I had the opportunity to meet the inventor of…

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Guide to Starting Javaplex (With Matlab)

Guide to Starting Javaplex (With Matlab) Step 1) Visit https://appliedtopology.github.io/javaplex/ and download the Persistent Homology and Topological Data Analysis Library 2) Download the tutorial at http://www.math.colostate.edu/~adams/research/javaplex_tutorial.pdf and jump to section 1.3. Installation for Matlab. 3) In Matlab, change Matlab’s “Current … Continue reading

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Subtle Error in Wikipedia: Dedekind’s number

On Wikipedia (https://en.wikipedia.org/wiki/Dedekind_number), it is stated that the Dedekind’s number M(n) is the the number of abstract simplicial complexes with n elements. This is incorrect, at least based on the Wikipedia definition of abstract simplicial complex, which does not allow the … Continue reading

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