Category Archives: maths tuition centre

Beautiful Map of Mathematics

Source: https://plus.google.com/114134834346472219368/posts/hs79fnxkjis?pid=6037478677752714706&oid=101584889282878921052 This is a really beautiful Map of Mathematics (Mathematistan, a pun on Mathematics and Afghanistan), where one can see all the various branches of Maths, and how they combine together. I also learnt a new word: Califate, which means an … Continue reading

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The important thing is to keep thinking

This is a really inspirational story to me. “The important thing is to keep thinking.” Source: http://www.reigndesign.com/blog/doing-it-with-twins-the-twin-prime-conjecture/ Now, I want you to imagine for a moment that you live in the United States, to be exact: New Hampshire. You’re a recruiter … Continue reading

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The Three Square Geometry Problem – Numberphile

Watch this interesting video about the “Three Square Geometry Problem”! Theoretically, a fifth-grader or P5/PSLE student can solve it! The featured solution is truly brilliant and requires one to “think out of the box”. Featured book: Tutor in a Book’s … Continue reading

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Challenging O Level Trigonometry Question (A Maths)

A reader of our Mathtuition88.com blog asked the following Maths question: Given that and , where , express in terms of . This is a rather challenging question, since there are many options to start. Which formula(s) should we use? … Continue reading

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Fire HD Kids Edition Tablet: Educational Review

Shop Amazon – Introducing Fire HD Kids Edition – Everything Kids Love. Everything Parents Want. As an Amazon Affiliate, Mathtuition88 is proud to introduce the Fire HD Kids Edition: All-new Fire HD tablet—with 1 year of Amazon FreeTime Unlimited, Kid-Proof … Continue reading

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What are Friedman numbers?

What are Friedman numbers? Watch this video to find out! Most amazing thing is that as numbers get bigger, the likelihood that they are Friedman numbers actually increase! (Friedman numbers have “density one”!) Featured book: First Steps for Math Olympians: … Continue reading

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Carnival of Mathematics

Mathtuition88.com will be the host of the next Carnival of Mathematics! (Submission site: http://www.aperiodical.com/carnival-of-mathematics) I will now be receiving submissions for Carnival 115. Firstly, let’s have a discussion on what is so special about the number 115. David Brooks has kindly provided … Continue reading

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Learning Pyramid (How to Learn Maths)

The best way to learn maths is actually to teach others. The second best way to learn maths is to practice doing it! Featured book: Math Doesn’t Suck: How to Survive Middle School Math Without Losing Your Mind or Breaking … Continue reading

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Inequality Olympiad Question and Solution

Let a, b, c be nonnegative real numbers satisfying . Prove that Source: http://www.fen.bilkent.edu.tr/~cvmath/Problem/1408a.pdf   Featured book: Inequalities: A Mathematical Olympiad Approach This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a … Continue reading

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A Simple Brain Theory Endorsed By Bill Gates Claims To Help You Learn Anything

Source: http://www.businessinsider.sg/carol-dwecks-growth-mindset-theory-tweeted-by-bill-gates-2014-8/#.VAxnTPmSx8E A small psychological change to how we approach challenges can drastically change how successful we are at these tasks. That’s according to Carol Dweck, a psychology professor at Stanford University, who coined the term “growth mindset” in her 2007 … Continue reading

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Stable Marriage Problem – Numberphile

This is an interesting problem in the topic of combinatorics and graph theory. It can be phrased in the context of arranging stable marriages. Nice animation and clear explanation! Watch part 2 too for the mathematical explanation. Featured book: A … Continue reading

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How to subtract 12 from 32? (The Common Core Way)

This is an incredibly complicated way to evaluate 32-12. One wonders if this is a step backward in education. As Einstein said,  “Everything should be made as simple as possible, but not simpler”. Featured book: A Mind For Numbers: How … Continue reading

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A Basic Multiplication Question (Common Mistake)

Site: http://www.kiasuparents.com/kiasu/forum/viewtopic.php?f=29&t=71476&p=1377930#p1377930 HermioneGranger wrote: Hi, a desperate question.In solutions of equation, when you multiply 2(2) by two, why is the answer 2(4) and not 4(4)? TIA Answer:  Good question! The theoretical reason is that if we multiply a product a(b) by … Continue reading

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Free Coursera Course: An Introduction to Functional Analysis

Site: https://www.coursera.org/course/functionalanalysis There is an interesting upcoming course at Coursera, suitable for undergraduates! (Starting 12 September 2014) Join the class if interested, it is free! Functional Analysis is actually a third year course for Math Majors at university. There are some … Continue reading

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Happy Teacher’s Day!

Glad to receive some Teacher’s Day cards and presents from my students! Wishing all teachers a happy Teacher’s Day this Friday, and also wishing students all the best for their upcoming exams. Featured book: A Mind For Numbers: How to … Continue reading

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Funny Video about Math (and other) Majors

Featured book: Math Jokes 4 Mathy Folks Who says math can’t be funny? In Math Jokes 4 Mathy Folks, Patrick Vennebush dispels the myth of the humorless mathematician. His quick wit comes through in this incredible compilation of jokes and … Continue reading

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Magic Hexagon

Watch this video about the interesting Magic Hexagon (a relative of the magic square), and why there is only one magic hexagon in the world! Featured book: Speedsolving the Cube: Easy-to-Follow, Step-by-Step Instructions for Many Popular 3-D Puzzles  

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3×3 Matrix Inverse Shortcut (Fastest Method)

Source: http://www.math.columbia.edu/~bayer/LinearAlgebra/pdf/inverse.pdf Backup copy (In case of broken link): 3×3 Matrix Inverse This is an excellent method for finding the inverse of a 3×3 matrix, probably the fastest and easiest method for 3×3. (Row reduction is better for 4×4 matrices and above.) … Continue reading

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Education News: School Starts Too Early?

Source: http://www.scientificamerican.com/article/school-starts-too-early/?&WT.mc_id=SA_WR_20140827 School Starts Too Early The later high school classes start in the morning, the more academic performance improves Aug 19, 2014 |By Mark Fischetti   Parents, students and teachers often argue, with little evidence, about whether U.S. high schools … Continue reading

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Linear Algebra Resources

1) https://www.math.okstate.edu/~binegar/3013-S99/3013-l16.pdf (How to diagonalize matrices) 2) http://www.sosmath.com/matrix/expo/expo.html (How to find exponential of matrices) 3)  http://en.wikipedia.org/wiki/Matrix_differential_equation (Matrix Differential Equations) 4) http://www.ucl.ac.uk/CNDA/courses/coursework/JNF.pdf (Jordan Normal Form) 5) http://www.math.niu.edu/~fletcher/jnf.pdf (Jordan Normal Form for 2×2 Matrices) 6) http://www.math.colostate.edu/~gerhard/M345/CHP/ch9_6.pdf (Matrix Exponential with repeated Eigenvalues) 7) http://www.math.vt.edu/people/afkhamis/class_home/notes/F08W12.pdf http://www-users.math.umn.edu/~leif0020/Spring2011/matrixexp.pdf (Matrix Differential equation with … Continue reading

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Rational Parametrization of a Circle & Pythagorean Triples

Today, we discuss an interesting topic rarely taught in school: The rational parametrization of a unit circle. That is, how to find the x coordinates and y coordinates of a circle expressed as a rational function? The usual parametrization of … Continue reading

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Fix a Wobbly Table (with Math)

Fix your wobbly table with just a small tweak – but why does this work? Reddit discussion: http://www.reddit.com/r/BradyHaran/co… Featuring Matthias Kreck from the University of Bonn. Featured book: The Princeton Companion to Mathematics This is a one-of-a-kind reference for anyone … Continue reading

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Maths Tuition Centre: Circle Fraction Question (PSLE)

Solution: The total area is made up of 4 semicircles and four of the area X. (4S+4X) The unshaded area is made up of 1 semicircle and one of the area X. (1S+1X) Hence, the fraction of the figure unshaded … Continue reading

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ICM2014 — opening ceremony

Originally posted on Gowers's Weblog:
I’d forgotten just how full the first day of an ICM is. First, you need to turn up early for the opening ceremony, so you end up sitting around for an hour and half…

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Private Candidate Tuition & Ad hoc O Level Maths Tuition

Private Candidate Tuition Taking your Math exam as a Private Candidate? Currently we are available to tutor private candidates on weekday mornings. Contact our friendly tutor Mr Wu at 98348087 or email at mathtuition88@gmail.com Ad hoc O Level Maths Tuition … Continue reading

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AlgTop1: One-dimensional objects

This is a continuation of the series of Algebraic Topology videos. Previous post was AlgTop 0. Professor Wildberger is an interesting speaker. He holds some unorthodox views, for instance he doesn’t believe in “real numbers” or “infinite sets”. Nevertheless, his … Continue reading

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Algebraic Topology Video by Professor N J Wildberger

This is the Introductory lecture to a beginner’s course in Algebraic Topology given by N J Wildberger of the School of Mathematics and Statistics at UNSW in 2010. This first lecture introduces some of the topics of the course and … Continue reading

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Math Trivia: Sum of all the Roulette Numbers is 666 !

The numbers on a roulette are from 1 to 36, including one zero (European style) or two zeroes (American style). What is the sum of all the numbers on the roulette wheel? The answer is actually 666, the “number of the beast”! … Continue reading

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Filipino street kid math genius

Check out this video of a Filipino street kid, who can calculate square roots without a calculator, and even knows the concepts of perfect squares and imaginary numbers!   Compare and contrast with this video: No matter whether you are … Continue reading

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World’s Biggest Number that is actually used in a proof (Graham’s Number)

Check out this video on Graham’s Number — The World’s Biggest Number actually used in a mathematical proof! (Featuring Ron Graham himself!) Featured book: Magical Mathematics: The Mathematical Ideas That Animate Great Magic Tricks Magical Mathematics reveals the secrets of … Continue reading

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Come join INSINC! Stand to win $$ for off-peak trips on MRT and LRT. More than $2,500,000 paid out so far!!

This is for Singaporean readers of my blog. Thanks for your reading and support. 🙂 Here is a good recommendation for those who take the train regularly, with chances to win cash prizes. Take the train (MRT or LRT) regularly? You … Continue reading

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The advancement and perfection of mathematics are intimately connected with the prosperity of the state — Napoleon Bonaparte

Source: http://www.thehindu.com/features/education/careers/stay-ahead-with-math/article6252546.ece From search engines to big data and cloud services, math plays a key role in IT applications. Read on to know more about the opportunities math has to offer. In this increasingly digital world, mathematics is everywhere. It is … Continue reading

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[News] NUS makes it easier for students in three faculties to qualify for honours

More than 80 or 90 per cent of students on four-year direct honours programmes at publicly-funded universities here graduate with honours or the equivalent. But only 60 per cent of those in the three-year arts and social sciences, business and … Continue reading

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On time management

Originally posted on What's new:
Prodded by several comments, I have finally decided to write up some my thoughts on time management here.  I actually have been drafting something about this subject for a while, but I soon realised…

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Mini-monomath

Originally posted on Gowers's Weblog:
The title of this post is a nod to Terry Tao’s four mini-polymath discussions, in which IMO questions were solved collaboratively online. As the beginning of what I hope will be a long exercise…

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Fundamental Theorem of Algebra – Numberphile

Professor David Eisenbud gives an excellent explanation of the Fundamental Theorem of Algebra! In high school, we learnt that some quadratic equations (e.g. ) do not have real roots. However, by the Fundamental Theorem of Algebra, every polynomial equation of … Continue reading

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Maths Tuition Centre: University Math Textbooks Review

Calculus Math Textbooks Review Most students taking science related courses like Engineering or Physics need to study at least one semester of Calculus. Calculus can be a rather difficult subject, and having a good textbook to learn from is half the … Continue reading

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A Maths List of Formula to Remember

Are you looking for a list of Additional Mathematics (A Maths) Formulas to remember? Check it out at: https://mathtuition88.com/math-notes-worksheets-sale/ Updated to include: Supplementary Angles, Complementary Angles, and Half Angle Formulas for Trigonometry Remember, memorizing the formula is not enough. We … Continue reading

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Disclaimer: We are not related to mathstuition88.com

Recently, it has come to attention that there is another website (mathstuition88.com). (Note the letter ‘s’.) We would like to reiterate that we are not related, affiliated, or associated in any way to that website. Our official website (https://mathtuition88.com/) is … Continue reading

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Mathematics Memes and Cartoons

Source: http://www.siliconrepublic.com/careers/item/37443-career-memes-of-the-week-m/ This week’s career memes are an ode to mathematicians, the numerical wizards who use their knowledge to solve practical problems in disciplines such as business, commerce, technology, engineering and the sciences. A mathematician’s job involves performing computations and analysing … Continue reading

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Number Theory Math Olympiad Question and Answer

Source: http://www.fen.bilkent.edu.tr/~cvmath/Problem/problem.htm   Check out June’s Math Olympiad Number Theory Problem (from Bilkent University): Find all triples of positive integers (a, b, c) satisfying . Give it a try, and then click on the solution to check your answer! Featured book: … Continue reading

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Welcome to the Teach100 community!

Recently, I added the Maths Blog to the Teach100 website. Glad to know that the blog has been approved! “Thank you for submitting Singapore Maths Tuition to the Teach100! Your blog has been approved and is currently ranked at #427 … Continue reading

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A Mathematician’s Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form

A Mathematician’s Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form A Mathematician’s Lament is a short book on the pedagogics and philosophy of mathematics by Paul Lockhart, originally a research mathematician but for many … Continue reading

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Compound Interest (O Levels Maths Tuition)

Compound Interest “Compound interest is the eighth wonder of the world. He who understands it, earns it … he who doesn’t … pays it.” – Albert Einstein The formula for Compound interest is: Total Amount = Where P=Principal amount (starting … Continue reading

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Maths Tuition Centre 2014

https://mathtuition88.com/group-tuition/ https://mathtuition88.com/ Maths Tuition @ Bishan starting in 2014. Secondary 4 O Level E Maths and A Maths. Patient and Dedicated Maths Tutor (NUS Maths Major 1st Class Honours, Dean’s List, RI Alumni) Email: mathtuition88@gmail.com SMS: 98348087

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Secondary 4 O Level E Maths and A Maths Group Tuition, Bishan

https://mathtuition88.com/group-tuition/ https://mathtuition88.com/ Maths Tuition @ Bishan starting in 2014. Secondary 4 O Level E Maths and A Maths. Patient and Dedicated Maths Tutor (NUS Maths Major 1st Class Honours, Dean’s List, RI Alumni) Email: mathtuition88@gmail.com SMS: 98348087

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Maths Challenge

Hi, do feel free to try out our Maths Challenge (Secondary 4 / age 16 difficulty): Source: Anderson E Maths Prelim 2011 If you have solved the problem, please email your solution to mathtuition88@gmail.com . (Include your name and school if … Continue reading

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On the road to make math fun: An army major who quit to become a mathematics teacher

Source: http://www.telegraphindia.com/1120625/jsp/calcutta/story_15629755.jsp#.Uq7JOJVDGDk On the road to make math fun MITA MUKHERJEE Madanlal Baldevraj Ghai during the city leg of his tour. Picture by Sayantan Ghosh An army major who quit to become a mathematics teacher has embarked on a self-funded … Continue reading

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Mr Heng, however, noted that how well a child does in school depends on how motivated he is.

Source: http://www.channelnewsasia.com/news/singapore/parents-urged-to-consider/898332.html Minister for Education Heng Swee Keat has said parents should consider other factors apart from a school’s previous year cut-off point (COP) when helping their P6 children decide on which secondary school to choose.           Minister for Education … Continue reading

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Recommended Maths Olympiad Books for Self Learning / Domain Test

Math Olympiad Books are useful for GEP/DSA preparation. It is also useful for the latest type of test called Domain Tests, which is basically a subject test (Math included) for entry into top secondary schools like the Raffles / Hwa Chong … Continue reading

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