We have seen how to cut a cake using the mathematical way, but did you know Mathematics can also be used when choosing toilets?
Here’s how:
Featured book:
Common Core Math 4 Today, Grade 4: Daily Skill Practice (Common Core 4 Today)
Build a foundation and focus on what matters most for math readiness with Common Core Math 4 Today: Daily Skill Practice for fourth grade. This 96-page comprehensive supplement contains standards-aligned reproducible activities designed to focus on critical math skills and concepts that meet the Common Core State Standards. Each page includes 16 problems to be completed during a four-day period. The exercises are arranged in a continuous spiral so that concepts are repeated weekly. An assessment for the fifth day is provided for evaluating students’ understanding of the math concepts practiced throughout the week. Also included are a Common Core State Standards alignment matrix and an answer key.
Most schools DSA (Direct School Admissions) now requires sitting for a test called GAT.
While the actual past year papers are not to be found online, there are many similar test papers from other countries:
1) http://bettereducation.com.au/Resources/PastTestPapers.aspx
2) http://acedmy.yolasite.com/resources/gat_sample_paper.pdf
3) http://www.cpapers.com/past-papers/gat-general-test-model-questions-answers.php
4) GEP Books are an excellent source of DSA questions, since the scope of GAT testing overlaps with the Logic portion of the GEP test. Check out the myriad of GEP Books that can be used to prepare for DSA questions equally effectively.
The Logic portion of GEP test / DSA test is not taught anywhere in the MOE syllabus, and hence the most challenging to prepare for. Your child would need to solve DSA questions like the one below, which is quite obviously not taught anywhere from Primary 1 to Primary 6. However, like all skills, these kind of logic puzzles can be taught, trained, and practiced, in the Mensa book listed below (Scroll down)!
Match Wits With Mensa: The Complete Quiz Book
If you are looking for more DSA GAT pattern/logic questions, this is the Complete Quiz Book by Mensa. Highly rated on Amazon. These book will be helpful for those seeking for a boost in their DSA GAT scores, since GAT (General Ability Test) is just a politically correct name for IQ Test.
Furthermore, the IQ of a person is not static, it can be changed. The way to change IQ is via reading books and acquiring more knowledge.
Another good book for DSA/GAT/HAST is Ultimate IQ Tests: 1000 Practice Test Questions to Boost Your Brain Power
Subscribe to our free newsletter, for updates on Math, Education and other General Knowledge topics!
Many people think that the infamous Cheryl Birthday puzzle is very difficult. However, to a well trained Math Olympian, the Cheryl Birthday question is actually considered comparatively easy! This shows that IQ of a person can be increased by reading, learning, and practicing the relevant books.
P.S. These kind of books are rarely found in Singapore bookstores, not to mention that most decent Singapore bookstores like Borders/Page One have closed down. I have compiled the most helpful books for DSA Score-Boosting in the above link. Hope it helps!
Update (2016): Check out this Pattern Recognition (Visual Discrimination) book that is a guided tutorial for training for GEP / DSA Tests!
As Singapore is a very high-tech society, there are many children who are addicted to handphones /computer games and as a result have no motivation to learn. Needless to say, this would result in rather severe consequences in exam results if not corrected early. Even for gifted children, the consequence of computer/cellphone addiction is really harmful, not to mention students who already have a weak academic foundation. Hence, motivational books like those listed here are actually of great importance. Only if a child sees the value of learning, will he be interested and self-motivated in learning. Related book: Cyber Junkie: Escape the Gaming and Internet Trap
If you are looking for information regarding NUS High DSA, please click here.
Finally, all the best and good luck for your DSA test!
Parents who like the idea of technology combined with education may want to check out the Kindle rather than the iPad.
Kindle Paperwhite, 6″ High-Resolution Display (212 ppi) with Built-in Light, Wi-Fi – Includes Special Offers
The problem with the iPad is that there are too many games! Children (and even adults) will find it hard to resist the games. The Kindle would be better for education, since it is primarily a reading device, and there are many educational books available at low cost or even free.
For example, this course CK-12 Algebra I – Second Edition, Volume 1 Of 2
WWW.QOO10.SG
World Cup fans need math to figure out scenarios
Read more: http://www.dailymail.co.uk/wires/ap/article-2662058/World-Cup-fans-need-math-figure-scenarios.html#ixzz35Rw7VwhW
Follow us: @MailOnline on Twitter | DailyMail on Facebook
RIO DE JANEIRO (AP) — Every four years, the World Cup forces fans to remember their math lessons.
Working out what each team needs from its final match to finish in the top two of a group and advance to the knockout rounds takes some algebra knowledge and powers of prediction.
After Brazil and Mexico played to a scoreless draw on Tuesday, the calculation became clear: Both teams just need to draw in their next matches to advance with five points in Group A. Croatia, which beat Cameroon Wednesday, would get to six points by beating Mexico. So a draw with Cameroon would still get Brazil through with five points. If Mexico beats Croatia, Brazil would advance even if it loses. But if Mexico and Croatia draw, and Brazil loses — then it gets complicated with tiebreakers.
Read more: http://www.dailymail.co.uk/wires/ap/article-2662058/World-Cup-fans-need-math-figure-scenarios.html#ixzz35RwFh9c3
Follow us: @MailOnline on Twitter | DailyMail on Facebook
Featured book:
The Math of Sports: Integrating Math in the Real World (Integrating Math in the Real World Series)
Ever wondered if there is an alternative way to cutting cake so that it can stay fresh and softer in the refrigerator?
This is how!
Featured book:
The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guide)
For many students, calculus can be the most mystifying and frustrating course they will ever take. The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it.
All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner’s popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A’s but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any single-variable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, non-intimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an “inner monologue”–the train of thought students should be following in order to solve the problem–providing the necessary reasoning as well as the solution. The book’s emphasis is on building problem-solving skills. Examples range from easy to difficult and illustrate the in-depth presentation of theory.
The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus.
Having trouble with Angles questions?
Try out this practice booklet (questions compiled from Prelims) with Primary 6 PSLE Angle questions!
Does your child dread Math and avoid it like the plague?
Looking for a book that is fun yet suitable for young kids?
Featured book:
Bedtime Math: A Fun Excuse to Stay Up Late
Our mission: to make math a fun part of kids’ everyday lives.
We all know it’s wonderful to read bedtime stories to kids, but what about doing math? Many generations of Americans are uncomfortable with math and numbers, and too often we hear the phrase, “I’m just not good at math!” For decades, this attitude has trickled down from parents to their kids, and we now have a culture that finds math dry, intimidating, and just not cool.
Bedtime Math wants to change all that. Inside this book, families will find fun, mischief-making math problems to tackle—math that isn’t just kid-friendly, but actually kid-appealing. With over 100 math riddles on topics from jalapeños and submarines to roller coasters and flamingos, this book bursts with math that looks nothing like school. And with three different levels of challenge (wee ones, little kids, and big kids), there’s something for everyone. We can make numbers fun, and change the world, one Bedtime Math puzzle at a time.
Recently, I saw that many people searched the following terms on Google and landed on my website:
Let me try to answer the above questions:
Usually teachers will set the mid-year exams and the prelims at a (much) higher level than the actual O Levels. This is the current trend, which may result in many people failing the mid-year exam. The idea may be to motivate students to study harder and avoid being complacent with their results. Do not be demoralized by failing the exam! On the contrary, do reevaluate your study strategies, and strive to improve your knowledge and technique in mathematics.
The way to be good at additional mathematics is the same as the way to be good at piano, chess, and virtually any human endeavour. The key to improving is practice! Practice with understanding is the key. Would you imagine to be possible to improve in playing the piano without practicing the song? Improve in badminton without training? Definitely not! Similarly, improving in additional mathematics is not possible without practice. This is why the Ten Year Series is such a popular book: it is indeed the most useful book you can buy for studying Additional Mathematics.
Practicing with understanding helps with Application of Concepts, Increase Speed, Accuracy, which all helps in being good at additional mathematics.
In addition, during the practice sessions, try to practice checking for careless mistakes. It will help tremendously in improving your grades. Practicing with understanding means that we need to understand the method used, to the extent that if the teacher sets a slightly different question we are still able to do it. This is the secret to being good at additional maths. 🙂
Featured book:
Math Doesn’t Suck: How to Survive Middle School Math Without Losing Your Mind or Breaking a Nail
From a well-known actress, math genius and popular contestant on “Dancing With The Stars”—a groundbreaking guide to mathematics for middle school girls, their parents, and educators
Dear Readers of Mathtuition88.com blog,
I am pleased to introduce the free Kindle App by Amazon:
Amazon.com – Read eBooks using the FREE Kindle Reading App on Most Devices
The FREE Kindle Reading App lets your visitors read their favorite books on most devices (PCs, smartphones, tablets, etc.)!
Please try out the above! 🙂
Sincere thanks and have a nice week.
Source: http://blogs.scientificamerican.com/observations/2014/06/11/world-cup-prediction-mathematics-explained/
The World Cup is back, and everyone’s got a pick for the winner. Gamblers have been predicting the outcome of sporting contests since the first foot race across the savannah, but in recent years a unique type of statistical analysis has taken over the prediction business. Everyone from Goldman Sachs to Bloomberg to Nate Silver’s FiveThirtyEight has an online World Cup predictor that uses numbers, not hunches, to generate precise probabilities for match outcomes. Goldman Sachs, for instance, gives host nation Brazil a 48.5 percent chance of winning it all; FiveThirtyEight puts the odds at 45 percent while Bloomberg Sports has concluded there’s just a 19.9 percent chance of a triumph for the Seleção.
Where do these numbers come from? All statistical analysis must start with data, and these soccer prediction engines skim results from former matches. A fair bit of judgment is necessary here. Big international soccer tournaments only come around every so often, so the analysts have to choose how to weight team performance in lesser events such as international “friendlies,” where nothing of consequence is at stake. The modelers also have to decide how far back to pull data from—does Brazil’s proud soccer history matter much when its oldest player is 34?—and how to rate the performance of individual players during their time playing for club teams such as Manchester United or Real Madrid.
Wherever the data comes from, the modeler now has to incorporate it into a model. Frequently, the modeler translates the question of “who is going to win?” into the form “how many goals will team X score against team Y?” And for this, she relies [PDF] on a statistical tool called a bivariate Poisson regression.
Read more at: http://blogs.scientificamerican.com/observations/2014/06/11/world-cup-prediction-mathematics-explained/
Statistics and mathematics is useful after all! Only time will tell if the prediction is correct.
Featured book:
Statistics in Plain English, Third Edition
This inexpensive paperback provides a brief, simple overview of statistics to help readers gain a better understanding of how statistics work and how to interpret them correctly. Each chapter describes a different statistical technique, ranging from basic concepts like central tendency and describing distributions to more advanced concepts such as t tests, regression, repeated measures ANOVA, and factor analysis. Each chapter begins with a short description of the statistic and when it should be used. This is followed by a more in-depth explanation of how the statistic works. Finally, each chapter ends with an example of the statistic in use, and a sample of how the results of analyses using the statistic might be written up for publication. A glossary of statistical terms and symbols is also included.
Source: http://www.bbc.com/news/magazine-27835311
It’s puzzling but true that in any group of 23 people there is a 50% chance that two share a birthday. At the World Cup in Brazil there are 32 squads, each of 23 people… so do they demonstrate the truth of this mathematical axiom?
Imagine the scene at the Brazilian football team’s hotel. Hulk and Paulinho are relaxing after another stylish win. Talk turns from tactics to post World Cup plans.
“It’ll be one party after another,” says Hulk, confidently assuming Brazilian victory on home soil. “First the World Cup, then my birthday a couple of weeks later.”
“Your birthday’s in July?” replies Paulinho. “Me too – 25 July, when’s yours?
“No way, exactly the same day!” exclaims Hulk incredulously. “What are the chances of that?”
With 365 days in a regular year, most people’s intuitive answer would probably be: “Pretty small.”
But in this case our intuition is wrong – and the proof of that is known as the birthday paradox.
Also read our earlier post on Understanding the Birthday Paradox!
Featured book:
The Math of Sports: Integrating Math in the Real World (Integrating Math in the Real World Series)
DCI Matte Black Powder Coated Metal Mathematics Blackboard Pop Quiz Clock, 11-1/2″ Diameter
If you can read this clock, you are without a doubt a geek. Each hour is marked by a simple math problem. Solve it and solve the riddle of time. Matte black powder coated metal. Requires 1 AA battery (not included). 11-1/2″ Diameter.
Who knew there was such an interesting clock? 😛
Also interesting is this mug below. If you can read it, it shows you are well versed in Mathematics!
I Ate Some Pie and It Was Delicious Mug– Perfect For Any Math Nerd!!– Funny High Quality Coffee Mug!! (11oz, Black I Ate Sum Pi)
Suppose a party has six people. Consider any two of them. They might be meeting for the first time—in which case we will call them mutual strangers; or they might have met before—in which case we will call them mutual acquaintances. The theorem says:
In any party of six people either at least three of them are (pairwise) mutual strangers or at least three of them are (pairwise) mutual acquaintances.
Featured book:
Just to share a video here:
It is a video of a girl who once did a math quiz and totally blanked out for the whole quiz. However, it turned out that her teacher did not actually ask for the quiz back, and gave her as much time as she wanted to complete the quiz. Under the relaxed circumstances, she completed the quiz and got a ‘C’. (big improvement from totally blank).
Then, she went to UCLA (very good school in US), and became a mathematics major, and wrote the book that is listed below the video!
Truly inspiring. For some kids, too much pressure may result in Math anxiety and totally blank out, while for other kids a little bit of pressure is needed to ensure that they do take studies seriously. Need to find the perfect balance for each child.
**The book the girl above wrote is: Math Doesn’t Suck: How to Survive Middle School Math Without Losing Your Mind or Breaking a Nail
Dear Readers,
Thanks for following our Maths Blog.
We are glad to introduce to you a Free Trial of Amazon Prime worth $99!
Random Math Fact:
Did you know:
Euler’s “lucky” numbers are positive integers n such that m2 − m + n is a prime number for m = 0, …, n − 1.
Leonhard Euler published the polynomial x2 − x + 41 which produces prime numbers for all integer values of x from 0 to 40. Obviously, when x is equal to 41, the value cannot be prime anymore since it is divisible by 41. Only 6 numbers have this property, namely 2, 3, 5, 11, 17 and 41.
Source: http://en.wikipedia.org/wiki/Lucky_numbers_of_Euler
Anyone who has taken high school math is familiar with the constant 
Today we are going to prove that e is in fact irrational! We will go through Joseph Fourier‘s famous proof by contradiction. The maths background we need is to know the power series expansion: 
(Reference: http://en.wikipedia.org/wiki/Proof_that_e_is_irrational)
Suppose to the contrary that e is a rational number, so 
Using the power series formula mentioned above, we have
Multiply both sides by 
Now, we split the sum into two parts:
Rearranging,
Now, denote 
We now prove that 
This inequality is strict for every 
We have that 
Interesting? 🙂
Featured book:
Euler: The Master of Us All (Dolciani Mathematical Expositions, No 22)
Did you know the constant e is sometimes called Euler’s number?
Learn more about Euler in this wonderful book. Rated 4.9/5 stars, it is one of the highest rated books on the whole of Amazon.
Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler’s work.
Watch this video for another proof that e is irrational!
Featured book:
Match Wits With Mensa: The Complete Quiz Book
This is the #1 Top-Selling book recommended on my website! It includes Mathematical Logic Puzzles from Mensa. Highly recommended for gifted children. Parents, if your child is gifted and you want to stretch his or her learning potential, you may want to buy this book as it is the most complete quiz book on the market. It doesn’t matter whether you are in the Gifted Education Programme, as long as you have an interest in logic puzzles this book is for you.
Maths and Science is essentially about logical thinking, so logic puzzles will directly benefit studies in maths and science. Above all, logic puzzles are meant to be fun and a good and healthy pastime.
Puzzle fans have bought more than 650,000 copies of the Mensa Genius Quiz series—the only books that let readers “match wits with Mensa,” comparing how well they do against members of the famous high-IQ society. Here, in a giant omnibus edition, are four best-selling titles: The Mensa Genius Quiz Books 1 & 2, The Mensa Genius Quiz-A-Day Book, and The Mensa Genius ABC Book. Here are more than 800 fun mindbenders to exercise every part of your brain—word games, trivia, logic riddles, number challenges, visual puzzles—plus tips on how to improve your thinking skills. All the puzzles have been tested by members of American Mensa, Ltd., and include the percentage of Mensa testers who could solve each one, so that you can score yourself against some of the nation’s fittest mental athletes.
Dyscalculia specialist Ronit Bird talks about the difficulties some children have in developing number sense and learning basic arithmetic. She explains some of the common symptoms and indicators for dyscalculia and offers suggstions for how parents can help their children at home. For more information on Dyscalculia please visit http://www.ronitbird.com/
Featured book:
The Dyscalculia Toolkit: Supporting Learning Difficulties in Maths
‘The new dyscalculia toolkit has a great introduction that is broken down into manageable chunks, brilliant explanations and interesting reading. The new tables explain what each game entails at the start of the book, making planning and using the toolkit much easier and effective especially if short on time! Very enjoyable to read, and highly recommended’
-Karen Jones, Chartered Educational Psychologist, The Educational Guidance Service
With over 200 activities and 40 games this book is designed to support learners aged 6 to 14 years, who have difficulty with maths and numbers. Ronit Bird provides a clear explanation of dyscalculia, and presents the resources in a straightforward fashion.
This is the clearest and most interesting explanation of the Monty Hall Problem I have ever seen:
What is the Monty Hall Problem? It is basically a game show with 3 doors. Behind one of the doors is a car, while behind the other two doors are two goats. Most people will want to get the car of course.
The player gets a chance to choose one of the doors. Then, the host will open a door which contains a goat. Now, the player is allowed two choices: either stick to his original choice, or switch to the other unopened door. Which choice is better?
Watch the video to find out!
Featured book:
The Monty Hall Problem: The Remarkable Story of Math’s Most Contentious Brain Teaser
Mathematicians call it the Monty Hall Problem, and it is one of the most interesting mathematical brain teasers of recent times. Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host–call him Monty Hall–opens a different door, always choosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum of mathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issues and has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.
| PSLE tweaks will come but as part of broader changes to education system: Heng Straits Times SINGAPORE – Changes being made to the Primary School Leaving … be done in the light of the broader changes to Singapore’s education system, … |
| SMU to broaden learning for freshmen Straits Times Freshmen entering the Singapore Management University (SMU) in August next year will go through a revamped syllabus, in the university’s bid to … |
| MOE to focus on tertiary, secondary education before turning to PSLE Channel News Asia SINGAPORE: With the Character and Citizenship Education syllabus being rolled out in all schools, the Ministry of Education (MOE) will tilt its focus … |
Featured Product:
Yamie Chess School Assistant: K-8 Supplemental Math Learning Toy
School Library Journal’s Best Education Pick of 2014; Mom’s Choice Awards® Gold Award Recipient; Backed by Harvard and MIT math experts
A very useful inequality in Mathematics is the AM-GM Inequality.
The arithmetic mean of numbers 
The geometric mean of numbers ![\boxed{\sqrt[n]{x_1\cdot x_2 \cdots x_n}}](https://s0.wp.com/latex.php?latex=%5Cboxed%7B%5Csqrt%5Bn%5D%7Bx_1%5Ccdot+x_2+%5Ccdots+x_n%7D%7D&bg=ffffff&fg=1a1a1a&s=0&c=20201002)
The AM-GM Inequality states that:
For any nonnegative numbers
![\displaystyle\boxed{\frac{x_1+x_2+\cdots+ x_n}{n}\geq\sqrt[n]{x_1\cdot x_2 \cdots x_n}}](https://s0.wp.com/latex.php?latex=%5Cdisplaystyle%5Cboxed%7B%5Cfrac%7Bx_1%2Bx_2%2B%5Ccdots%2B+x_n%7D%7Bn%7D%5Cgeq%5Csqrt%5Bn%5D%7Bx_1%5Ccdot+x_2+%5Ccdots+x_n%7D%7D&bg=ffffff&fg=1a1a1a&s=0&c=20201002)
Let say we have three (nonnegative) numbers a, b, c that add up to 30, i.e. 
Yes! Using the AM-GM inequality we have just learnt above, we know ![\displaystyle \frac{a+b+c}{3}\geq \sqrt[3]{abc}](https://s0.wp.com/latex.php?latex=%5Cdisplaystyle+%5Cfrac%7Ba%2Bb%2Bc%7D%7B3%7D%5Cgeq+%5Csqrt%5B3%5D%7Babc%7D&bg=ffffff&fg=1a1a1a&s=0&c=20201002)
Cubing both sides, we have, 
Also, the AM-GM inequality tells us that there is equality only when 
Featured book from Amazon:
Competition Math for Middle School
Written for the gifted math student, the new math coach, the teacher in search of problems and materials to challenge exceptional students, or anyone else interested in advanced mathematical problems. Competition Math contains over 700 examples and problems in the areas of Algebra, Counting, Probability, Number Theory, and Geometry. Examples and full solutions present clear concepts and provide helpful tips and tricks. “I wish I had a book like this when I started my competition career.” Four-Time National Champion MATHCOUNTS coach Jeff Boyd “This book is full of juicy questions and ideas that will enable the reader to excel in MATHCOUNTS and AMC competitions. I recommend it to any students who aspire to be great problem solvers.” Former AHSME Committee Chairman Harold Reiter
Watch the above video to prove that there has to be 12 Pentagons and 20 Hexagons on a Soccer Ball!
The video also teaches us about the beautiful Euler Formula, 
Featured Book:
Euler: The Master of Us All (Dolciani Mathematical Expositions, No 22)
An ideal book for enlivening undergraduate mathematics…he (Dunham) has Euler dazzling us with cleverness, page after page. — Choice
Mathematician William Dunham has written a superb book about the life and amazing achievements of one of the greatest mathematicians of all time. Unlike earlier writings about Euler, Professor Dunham gives crystal clear accounts of how Euler ingeniously proved his most significant results, and how later experts have stood on Euler’s broad shoulders. Such a book has long been overdue. It will not need to be done again for a long long time. — Martin Gardner
William Dunham has done it again! In “Euler: the Master of Us All”, he has produced a masterful portrait of one of the most fertile mathematicians of all time. With Dunham’s beautiful clarity and wit, we can follow with amazement Euler’s strokes of genius which laid the groundwork for most of the mathematics we have today. — Ron Graham, Chief Scientist, AT&T
William Dunham has written a superb book about the life and amazing achievements of one of the greatest mathematicians of all time. Unlike earlier writings about Euler, Dunham gives crystal clear accounts of how Euler ingeniously proved his most significant results, and how later experts have stood on Euler’s broad shoulders. Such a book has long been overdue. It will not need to be done again for a long, long time.Martin Gardner
Dunham has done it again! In “Euler: The Master of Us All,” he has produced a masterful portrait of one of the most fertile mathematicians of all time. With Dunham’s beautiful clarity and wit, we can follow with amazement Euler’s strokes of genius which laid the groundwork for most of the mathematics we have today. — Ronald Graham, Chief Scientist, AT&T
Featured Item:
Educational Insights Math Whiz
Is your child disinterested in Math? Looking for some fun and educational Math games?
Math Whiz plays like a video game and teaches like electronic flash cards. This portable ELA quizzes kids on addition, subtraction, multiplication and division, AND works as a full-function calculator at the press of a button. Problems are displayed on the LCD screen. Features eight skill levels, as well as lights and sounds for instant feedback. Two AAA batteries required (not included).
In the latest Quacquarelli Symonds (QS) World University Rankings by Subject (2014), NUS Math is ranked among the best mathematics departments in Asia.
Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers–11 to 12 years of schooling versus 16 to 18 years of schooling.
Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.
This book describes the nature and development of the “profound understanding of fundamental mathematics” that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.
This is the breathtaking story of Daniel Tammet. A twenty-something with extraordinary mental abilities, Daniel is one of the world’s few savants. He can do calculations to 100 decimal places in his head, and learn a language in a week.
He also meets the world’s most famous savant, the man who inspired Dustin Hoffman’s character in the Oscar winning film ‘Rain Man’.
This documentary follows Daniel as he travels to America to meet the scientists who are convinced he may hold the key to unlocking similar abilities in everyone.
Featured books by Daniel Tammet:
Born On A Blue Day: Inside the Extraordinary Mind of an Autistic Savant
Bestselling author Daniel Tammet (Thinking in Numbers) is virtually unique among people who have severe autistic disorders in that he is capable of living a fully independent life and able to explain what is happening inside his head.
He sees numbers as shapes, colors, and textures, and he can perform extraordinary calculations in his head. He can learn to speak new languages fluently, from scratch, in a week. In 2004, he memorized and recited more than 22,000 digits of pi, setting a record. He has savant syndrome, an extremely rare condition that gives him the most unimaginable mental powers, much like those portrayed by Dustin Hoffman in the film Rain Man.
Thinking In Numbers: On Life, Love, Meaning, and Math
The irresistibly engaging book that “enlarges one’s wonder at Tammet’s mind and his all-embracing vision of the world as grounded in numbers.” –Oliver Sacks, MD
THINKING IN NUMBERS is the book that Daniel Tammet, mathematical savant and bestselling author, was born to write. In Tammet’s world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives.
Very interesting Math jokes!
View original post 381 more words
Source: http://mathace2012.wiki.hci.edu.sg/
Check out these Formulas for:
at http://mathace2012.wiki.hci.edu.sg/
Featured book: The Ultimate book of Formulas (2000+ Formulas!)
Schaum’s Outline of Mathematical Handbook of Formulas and Tables, 4th Edition: 2,400 Formulas + Tables (Schaum’s Outline Series)
This Schaum’s Outline gives you
8 and 6 are lucky but 4 is unlucky… if you’re Chinese!
Featuring Xiaohui Yuan from the University of Nottingham.
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Videos by Brady Haran
Brady John Haran is an Australian independent film-maker and video journalist who is known for his educational videos and documentary films produced for BBC News and for his YouTube channels. (http://en.wikipedia.org/wiki/Brady_Haran)
Highly recommended to subscribe to Numberphile on Youtube for fun and interesting Math videos!
Featured book:
Number: The Language of Science
Number is an eloquent, accessible tour de force that reveals how the concept of number evolved from prehistoric times through the twentieth century. Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.
– Rated 4.5/5 on Amazon
| Math, reading performance is stagnant among US 12th-graders, assessment finds Washington Post The nation’s high school seniors have shown no improvement in math and reading performance since 2009, and large racial achievement gaps … |
| Math, reading performance stagnates among US 12th-graders, assessment finds Business Mirror WASHINGTON—The United States’s high-school seniors have shown no improvement in math and reading performance since 2009, and large racial … |
| Social Math: Why Learning Math Involves More Than Writing Numbers Huffington Post My lifelong passion for creating better ways to learn math got its start in a school not unlike the Israeli one I visited — and at the very same age. |
| Math games aim to keep kids sharp over summer Scranton Times-Tribune JAKE DANNA STEVENS / STAFF PHOTOGRAPHER Kaylynn Howe, 8, left, and her sister, Destine Howey, play a math game at Bancroft Elementary … |
| Common Core math gains are worth the pain New York Daily News As more than a million New York students in grades 3-8 took the state math exams last week, a small but vocal cadre of parents railed at the new … |
| Lindblom Math and Science principal among Golden Apple winners Chicago Tribune The organization quickly realized that Mather, principal of Lindblom Math and Science Academy In Chicago’s West Englewood neighborhood was the … |
| Math Learning – A Universal Language? Huffington Post Fifth-grade students at Woodward Elementary School had an interesting math assignment this fall: watching college football games. Though … |
| US students’ reading, math show no progress TheChronicleHerald.ca WASHINGTON — In an abysmal showing, only about one-quarter of U.S. high school seniors performed solidly in math in a major assessment known … |
| Using math in the fight against cancer WNYT But a local college professor says many people don’t like math because they don’t see a connection to it. In this Friday’s STEM 13 report, learn how the … |
| Math Day at Molly Stark honors memory of Gail Harwood Bennington Banner BENNINGTON — The Molly Stark School honored a longtime teacher on Monday with “Gail Harwood Math Day.” Harwood passed away in January … |
| Singapore takes third spot in global education rankings Straits Times Teacher Anthony Tan conducting an English lesson with a class of Primary 6 pupils at Woodlands Primary School. Singapore’s education system has … |
| Singapore offers Saudi Arabia help in education Arab News PROPOSAL: Singapore Senior Minister of State Lee Yi Shyan with Mazen Batterjee, vice chairman of the JCCI, on Wednesday. (AN photo by Irfan … |
| In Singapore, Training Teachers for the ‘Classroom of the Future’ Education Week News Welcome to the Classroom of the Future—a mock-up housed by Singapore’s National Institute of Education (NIE) to demonstrate what learning might … |
| Singapore Polytechnic Assists CDIO Implementation At Malaysia’s Polytechnic Bernama PUTRAJAYA, May 6 (Bernama) — Singapore Polytechnic is assisting Malaysia on the implemention of innovative engineering education framework … |
| Lift education standards: Linfox boss The Australian “Most of our graduates are now coming out of Thailand, Vietnam, Singapore and China because they are just so well educated,” he said. “I can get … |
| In search of education The News International Unless we start investing massively in education, science, technology and innovation, as was done by Singapore, Korea, Malaysia, China and others, … |
| Sultanate, Singapore and the Indian Ocean Oman Daily Observer These are thoughtful words from your education minister (Heng Swee Keat), … a pragmatism which incidentally I believe we share with Singapore. |
| Direct School Admission not meant to lower academic standards TODAYonline In Singapore, there is no compromising a good education. Having a talent does not give a student the licence not to pursue academic excellence. |
| NAFA inspires The Hindu The safe and comfortable cosmopolitan environment Nanyang Academy of Fine Arts, Singapore makes it the perfect destination for education abroad. |
| Japan’s Education Minister visits SMU Perspectives@SMU Singapore Management University (SMU) received a special guest on its campus on 3 May 2014 – Japan’s Minister of Education, Culture, Sports, … |
Check out this Youtube video on the Monster Group (related to Group Theory, a branch in Mathematics)
In the mathematical field of group theory, the monster group M or F1 (also known as the Fischer–Griess monster, or the Friendly Giant) is a group of finite order. (See Wikipedia: http://en.wikipedia.org/wiki/Monster_group)
Featured book:
The Symmetries of Things
This book is written by John Conway, one of the mathematicians who worked on the Monster Group. Rated highly on Amazon.
Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry.
Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments.
This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.
Check out the US “Common Core” Math syllabus, where students need Six Steps just to add 14 and 4!
Sounds unbelievable but true!
A rational number is a number that can be expressed in a fraction with integers as numerators and denominators.
Some examples of rational numbers are 1/3, 0, -1/2, etc. Now, we know that 
Is the square root of 2 rational? Or is it irrational (the opposite of rational)? How do we prove it? It turns out we can prove that the square root of two is irrational using a technique called proof by contradiction. (One of the earlier posts on this blog also used proof by contradiction to show that there are infinitely many prime numbers.)
First, we suppose that 
Next, we square both sides to get 
Hence, 
Thus, we can write 
Hence, 
But if both
Thus, the only possible conclusion is that the square root of two is not a rational number to begin with!
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 stories. Intended for all math types, Math Jokes 4 Mathy Folks provides a comprehensive collection of math humor, containing over 400 jokes.
– Highly rated on Amazon.com
Source: http://news.asiaone.com/News/Education/Story/A1Story20080601-68205.html
When the Mid Year Exams are over, students will receive their results nervously. What to do if one fails the Mid Year Exams?
In many schools, it is common to have a significant portion of the school actually failing the Mid Term exam. “40 per cent of his school cohort failed Social Studies and 30 per cent English.” in the school mentioned in the above article.
“Such significant failure rates have become common in schools here when mid-year or preliminary exams roll around, especially for those with a big national exam – PSLE, O or A levels – at the year-end.”
Here are 5 tips on what are the best actions to take for one who fails the Mid Year Exams, especially for Mathematics:
There are usually two types of students, the ones who are more playful and laidback, and the very perfectionistic student but is prone to stress. For the more playful students, the tough Mid Year exams are actually meant as a wake up call to start studying before it is too late. “‘Papers must be a bit challenging so that they can shake one out of complacency and make one study harder,’ said Mr Lak Pati Singh, 56, principal of St Patrick’s School.”
For students who are too stressed up and already trying their best, the way to improve may be to study more efficiently using the right methods (especially for Maths, the right way to study is practice with understanding). A healthy lifestyle balance may also be very helpful. Again, seeking help from Math tutors may be a choice to be considered, which can alleviate stress from not understanding the subject material.
Read more at: http://news.asiaone.com/News/Education/Story/A1Story20080601-68205.html
Source: http://www.quora.com/Studies-and-Studying/How-do-top-students-study/answer/Qiaochu-Yuan-1
Check out this post by MIT almost perfect-scorer, on how to study. His secret is to study the material in advance, before the lessons even start! This is really a useful strategy, if implemented correctly. Imagine being in Primary 3 and already knowing the Primary 4 syllabus! Primary 3 Math will be a breeze then. This is one of the reasons why China students are so good at Math – they have already studied it back in China, where the Math syllabus is more advanced!
Do try out this strategy if you are really motivated to improve in your studies. The prime time to do this is during the June and December holidays – take some time to read ahead what is going to be learnt during the next semester.
This is an excerpt of the thread:
I graduated from MIT with a GPA of 4.8 (out of 5.0) in mathematics. I had two non-As, both of which were non-math classes.
That doesn’t imply that I have good study methods, but anyway, here’s how I studied at MIT. My main study method as an undergraduate, for math classes, was knowing a sizable chunk of the material in advance.
This isn’t a method that will work for everybody. I did a lot of mathematics outside of the classroom both in high school and at MIT, and I often saw a substantial portion of the material in a given class before I took it. I can’t emphasize enough how much easier this makes a class, and not just for the reasons you might expect: one of the most valuable things you get out of knowing a lot of the material already is just not being intimidated by it. (And you can get this benefit even if you’ve only seen some of the material before and possibly forgotten some of it too.) You’re much more relaxed, and that makes it easier to process the part of the material that you don’t know.
What that translates to in terms of practical advice is this:
- cultivate a sense of curiosity,
- don’t restrict your learning to the classroom,
- only take classes that actually seem really interesting to you, and
- try to learn something related to those classes the semester before.
None of this is advice for studying for a class you’re taking now, but it’s advice for reducing the extent to which you will need to study for classes you’ll take in the future.
– Qiaochu Yuan
Is it safe to log in through well known sites such as Facebook and Google? Think again, for Wang Jing, a PhD student in mathematics at the Nanyang Technological University in Singapore, has detected critical security vulnerabilities in the OAuth, OpenID security protocols. (Source: http://phys.org/news/2014-05-math-student-oauth-openid-vulnerability.html) [Second article in the list below]
Forward this information to your friends via the Tweet button below to warn them of the potential danger!
| Unique Math Learning Center Opens in Lake Forest: Local After-School Program to Provide … Chicago Tribune Mathnasium – The Math Learning Center opened its doors in Lake Forest in March to students looking for math help and math enrichment. The new … |
| Math student detects OAuth, OpenID security vulnerability Phys.Org (Phys.org) —To get right to the point, a doctoral candidate in math has discovered two holes in OAuth and OpenID that could leak data and redirect … |
| A math lesson for city: Teachers’ contract likely to cost billions SILive.com Mayor Bill de Blasio, who visited Staten Island Wednesday evening to speak at an SIEDC cocktail reception at the Hilton Garden Inn, has cleared his … |
| Math error halts Bank of America’s stock buy back and dividend increase UPI.com WILMINGTON, Del., April 28 (UPI) — Bank of America has had to halt its proposed stock buy back and dividend increase because of a math error in its … |
| Philadelphia girl makes math a game – and excels Philly.com Josephine Nyugen, a sixth-grader at St. Cecelia, right, with her father, Joseph, left, plays the math game ‘Into the Vortex’ on the First in Math website. |
| Math for public works borrowing bill proves tough St. Cloud Times Lawmakers from the Minnesota House Capital Investment Committee look around the prison yard near the loading dock inside the Minnesota … |
| Houghton Mifflin Harcourt takes Go Math! Academy into the home market Boston Globe Houghton Mifflin Harcourt, a Boston-based education company, developed the program for students in kindergarten to sixth grade to learn basic math … |
| Steve Ballmer’s math on Apple innovation doesn’t add up ZDNet His math of Apple innovation appears lacking to this longtime Mac user. Let me add a few more of his “tricks” to the list: The Apple II platform. Ballmer … |
| Math class helps special needs student try to win a wheelchair van KOB.com There’s a lot more going on than just addition and subtraction in Mr. Green’s math class. “We just want to help out this family,” Said Cody Green. |
| Budget math takes a U-turn: Christie blames federal tax law that brought windfall last year NorthJersey.com The same federal tax policy that Governor Christie is now blaming for New Jersey’s $807 million budget shortfall helped save his budget last year … |
| The Straits Times holds its first Education Forum on Sunday Straits Times The Straits Times’ first Education Forum on May 4, 2014, held at the Singapore Management University’s Mochtar Riady Auditorium. — ST PHOTO: … |
| All 300 places at The Straits Times’ first education forum this Sunday taken up Straits Times Mr David Hoe, an undergraduate at the National University of Singapore (NUS), is one of the speakers at the inaugural The Straits Times Education … |
| Many turn up at E Plus International Education fair The Hindu The aspirants evinced keen interest in countries like Holland, Singapore, New … Official boards of all the countries presented seminars on education … |
| Tuition and divorce The Independent Singapore News In September 2013, The Independent Singapore reported on Senior Minister of State for Education Ms Indranee Rajah’s observation on the perceived … |
| NS committee may propose changes to IPPT management TODAYonline SINGAPORE — Suggestions to improve the management of the Individual … Veterans’ League, which was founded to promote National Education. |
| Should India Embrace Socialism, Singapore Style? Businessinsider India This is because the Singapore government only borrows to develop a … What offers a ray of hope to Indian educators is that Singapore’s education … |
| How does one of the top-performing countries in the world think about technology? The Hechinger Report SINGAPORE—Forty students in bright yellow shirts hunched over their … Investments in education technology have been a key part of Singapore’s … |
| Why Indonesian education is in crisis Jakarta Post Does anyone seriously believe “education” in Indonesia is on par with the west, or even Asian countries like Japan, Korea or Singapore? Ask the … |
| Are you getting a little crazy in your classroom? T.H.E. Journal We have asked Dr. Zachary Walker, an assistant professor at the National Institute of Education, Singapore, an American who is traveling the world … |
| GEMS Education eyes expansion in the region Business Times (subscription) GEMS Education, the world’s largest operator of private schools, aims to … from kindergarten to pre-university, will open in Singapore later this year. |
Source: http://arxiv.org/abs/1402.5952
Recently, I saw on Arxiv (an online Math journal) that a professor from South-China Normal University, Mingchun Xu, has proved the notoriously difficult Riemann Hypothesis.
Quote: “By using a theorem of Hurwitz for the analytic functions and a theorem due to T.J.Stieltjes and I. Schur, the Riemann Hypothesis has been proved considering the alternating Riemann zeta function. “
His paper can be downloaded here: http://arxiv.org/pdf/1402.5952v2
More verification is needed to check if it is indeed a proof.
What is the Riemann Hypothesis about? Watch this Youtube Video:
Featured book:
Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics
In 1859, Bernhard Riemann, a little-known thirty-two year old mathematician, made a hypothesis while presenting a paper to the Berlin Academy titled “On the Number of Prime Numbers Less Than a Given Quantity.” Today, after 150 years of careful research and exhaustive study, the Riemann Hyphothesis remains unsolved, with a one-million-dollar prize earmarked for the first person to conquer it.
Rated: 4.5 stars on Amazon
22/7 is not an exact value for Pi, but it is a pretty good approximation. 22/7=3.142857143… has just a percentage error of 0.04% compared to the actual value of Pi!
Percentage error is calculated by:
355/113 is an even better approximation for Pi. 355/113=3.14159292… has merely a percentage error of 0.000008%! This is incredibly accurate for a “relatively” simple fraction like 355/113. 355/113 has a cool Chinese name called “Milü” 密率, given by the ancient Chinese Mathematician astronomer Zǔ Chōngzhī (祖沖之) who discovered it.
Using the simple and straightforward 3.14 (0.05% error) may be sufficient for everyday purposes. 🙂
or 2 arcsin(1) (Radian Mode)This relies on the fact that 
We can let n=180 for convenience, and get 
Featured Book:
Pi: A Biography of the World’s Most Mysterious Number
We all learned that the ratio of the circumference of a circle to its diameter is called pi and that the value of this algebraic symbol is roughly 3.14. What we weren’t told, though, is that behind this seemingly mundane fact is a world of mystery, which has fascinated mathematicians from ancient times to the present. Simply put, pi is weird.
Interested to know how Math can be used in Real life? Check out the colorful posters in the post below!
Hi guys here the comes posters of Application of Math in real life .
Source: http://mathigon.org/
If you are wondering which tuition agency is the best, look no further. The best tuition agency in Singapore is without a doubt Startutor.
Startutor is highly recommended by our tutor Mr Wu, and he himself is listed there.
For other subjects besides Mathematics, request for a tutor at Startutor! Startutor is Singapore’s most popular online agency, providing tutors to your home. There are no extra costs for making a request. Tutors’ certificates are carefully vetted by Startutor. (Website: http://startutor.sg/request,wwcsmt)
Startutor is suitable for English Tuition, Social Studies Tuition, Geography Tuition, Physics Tuition, Chemistry Tuition, Biology Tuition, Chinese Tuition, Economics Tuition, GP Tuition, Piano Lessons and more!
(Please use the link above directly, thanks!)
How can I become excellent at math? It really interests me but when I fail I become demotivated and begin to give up.
EDIT: Could anyone suggest books for someone with a math education that just barely touches on high-school Algebra (got into parabolas, rationalizing, some graphing and functions). This is what I am currently doing: attending high school as a Junior.
Read the answers given by experts at Math Stackexchange!
Some gems of wisdom:
Researchers have shown it takes about ten years to develop expertise in any of a wide variety of areas, including chess playing, music composition, telegraph operation, painting, piano playing, swimming, tennis, and research in neuropsychology and topology.
The key is deliberative practice: not just doing it again and again, but challenging yourself with a task that is just beyond your current ability, trying it, analyzing your performance while and after doing it, and correcting any mistakes. Then repeat. And repeat again.
All the best in your math studies!
Featured book:
Men of Mathematics (Touchstone Book)
Here is the classic, much-read introduction to the craft and history of mathematics by E.T. Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton’s calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians — an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work’s clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.
Just to reblog this earlier post on Recommended Singapore Math Books. Ideal for parents living outside Singapore who wish to teach their child the Singapore Math curriculum!
We have compiled a list of Top 5 Best selling and Top rated Singapore Math Books on Amazon. This list is more targeted towards parents and students living outside Singapore, like in the United States. Students in Singapore are already breathing and living Singapore Math!
Hope this list will help you in finding the Best Singapore Math Books for your child. The reviews are from actual customers on Amazon.
1)
This math practice book contains wonderful teaching strategies from the Singapore math program including number bonds and counting on. This would be a good book for homeschooling. We use it as an enrichment tool when we have a little extra time during vacations or on weekends.
I would recommend it to parents who would like to teach their struggling kids math, because it tells you how to teach these concepts.
2)
View original post 271 more words
Most students will encounter the Maclaurin Series (also known as the Taylor’s Series centered at zero) when they are studying JC H2 or College Maths. The formula looks pretty intimidating at the start:
How on earth does one come up with that formula?
However, it turns out it is not that hard to prove the Maclaurin Series informally, or at least to derive the above formula. (The hard part is related to rigorous proof of convergence, etc.)
The idea is to approximate a function by a power series (a kind of infinite polynomial) and then find out what are the coefficients.
So, we assume we can write the function as such:
We also assume that the above equation holds for all
Then, letting 
Next, we differentiate the equation 
Letting 
Now, differentiating the above equation one more time gives us:
Letting 
Keep on differentiating, and we will see that 
This is how we get the Maclaurin Series: 🙂
Excellent Video by Khan Academy
Interested to learn more about Calculus? After reading this thick book about Calculus, you will probably know more Calculus than Isaac Newton himself!
Are you looking for a list of A Maths (O Level Additional Maths) Formulae that is not found in the formula list?
Check it out at https://mathtuition88.com/math-notes-worksheets-sale/
The PDF file above contains A Maths Formulae on Algebra, Geometry & Trigonometry, and Calculus (Differentiation and Integration).
We also conduct A Maths Tuition class at Bishan.
If you find this Formula List helpful, feel free to Tweet or share this page on Facebook using the buttons below. 🙂
| Saudis learning the Singapore way of teaching Straits Times Since last October, the National Institute of Education (NIE) has taken leadership trainers from the kingdom under its wing, training them in curriculum … |
| All 300 places at The Straits Times’ first education forum this Sunday taken up Straits Times Mr David Hoe, an undergraduate at the National University of Singapore (NUS), is one of the speakers at the inaugural The Straits Times Education … |
| Singapore Plows Ahead of US With Tech in Schools NBCNews.com In the late 1990s, the Singapore Ministry of Education unveiled its master plan for technology. The first phase was spent building up infrastructure and … |
| Govt mulls more recognition for NSmen in housing, health, education Channel News Asia SINGAPORE: More recognition could be given to National Servicemen (NSmen) in areas such as housing, healthcare and education. Defence … |
| Singapore to beef up nuclear technology expertise Channel News Asia Singapore is beefing up its nuclear technology expertise with a newly-announced programme. The 10-year Nuclear Safety Research and Education … |
| Many turn up at E Plus International Education fair The Hindu The aspirants evinced keen interest in countries like Holland, Singapore, New … Official boards of all the countries presented seminars on education … |
| AWARE’s pushback on more benefits for NSmen ignites debate TODAYonline SINGAPORE — The Government’s plan to enhance housing, healthcare and education benefits for operationally ready national servicemen has … |
This is an interesting introduction to some extremely advanced Math: Ricci Flow & Poincare Conjecture!
Ricci Flow was used to finally crack the Poincaré Conjecture. It was devised by Richard Hamilton but famously employed by Grigori Perelman in his acclaimed proof. It is named after mathematician Gregorio Ricci-Curbastro.
In this video it is discussed by James Isenberg from the University of Oregon (filmed here at MSRI).
The famed Poincaré Conjecture – the only Millennium Problem cracked thus far.
Read the below news for the answer and more!
| Math wiz monkeys providing researchers with insights into human brain activity Fox News Monkeys trained to solve math problems are providing researchers with new insights into understanding a human learning disability in which children … |
| Math and Science Pay, But High Schoolers Care Less Wall Street Journal (blog) Math and science are the peas and carrots of the jobs market: great for a career future, but resolutely unpopular with the young. Even amid a relatively … |
| Math wrath in Pincher Creek? Pincher Creek Echo Protesters gather during a rally to support a petition calling for math curriculum reform at the Alberta Legislature Building in Edmonton, Alta., … |
| Monkey Math and Other Number-Crunching Critters Discovery News Rhesus monkeys are able to perform math at an advanced level, reports a study this week from Harvard Medical Medical school. The monkeys were … |
| Math department wins national award for exemplary program The Williams record According to Susan Loepp, professor of mathematics, the College’s department is unique in several regards. “Everyone likes math even if they don’t … |
| From math failure to savant: How a mugging made a numbers whiz CTV News Padgett describes the brutal bar attack and his subsequent transformation into a math savant in his new book, Struck by Genius: How a Brain Injury … |
Here is a compilation of the Formulas needed in GCSE O Levels E Maths Exam.
Includes Formulae on Algebra and Numbers, Geometry and Measurement, Statistics and more!
Check it out at https://mathtuition88.com/math-notes-worksheets-sale/
Students in my Maths Tuition class will be taught how to memorize the formulae with understanding, and how to apply them correctly!
Keep calm, and all the best for your mid-year exams.
Fibonacci Numbers, named after Leonardo Fibonacci, is a sequence of numbers:
with a recurrence relation 
Fibonacci Numbers are linked to the mysterious Golden Ratio,
In fact, the ratio of successive Fibonacci numbers converges to the Golden Ratio! The first person to observe this is Johannes Kepler.
How do we prove it?
Recall the recurrence relation:
Dividing throughout by 
(We will first assume 
Taking limits, we get 
Denoting 
Multiplying by
This is a quadratic equation, solving using the quadratic equation, we get:
Since 
For a complete proof, actually we will need to prove that 
Interested readers can refer to the excellent website at: http://pages.pacificcoast.net/~cazelais/222/fib-limit.pdf
for more details.
Interesting video on Fibonacci numbers!
Fibonacci numbers and the Golden Ratio can also be used for trading stocks.
Do not be discouraged if you find E Maths or A Maths difficult. The main reason why you are finding it to be difficult is that it is new. You have not gotten enough exposure to the type of questions asked. It is like learning to ride a bicycle, at the start it is difficult and you may even fall down. But after you have mastered riding the bicycle, you will be able to ride as fast as you wish. You need to get over the initial difficulty of learning in order to master the art of riding the bicycle.
At our Group Tuition at Bishan, we constantly practice actual exam questions, be it on Trigonometry, Differentiation or Integration (A Maths), or Vectors, Matrices and Probability (E Maths). We learn different methods to check and do the questions. You will find out, at last, that once you master the art of solving O Level questions, all the O Level questions are just repackaging the same questions in different forms. Once you know how to do one question, you will know how to do all similar questions. Expanding your repertoire of questions you know will enable you to get that coveted “A”. Constant practice, as opposed to cramming one month before the O Levels, is absolutely necessary to avoid panic and to consolidate our Mathematical memory.
Some Math formulas like the quotient rule, 
In the end, you may even find that E Maths or A Maths is easy!
(Source: http://www.indianchild.com/inspiring_stories.htm)
THE OBSTACLE IN OUR PATH
In ancient times, a king had a boulder placed on a roadway. Then he hid himself and watched to see if anyone would remove the huge rock. Some of the king’s wealthiest merchants and courtiers came by and simply walked around it.
Many loudly blamed the king for not keeping the roads clear, but none did anything about getting the big stone out of the way. Then a peasant came along carrying a load of vegetables. On approaching the boulder, the peasant laid down his burden and tried to move the stone to the side of the road. After much pushing and straining, he finally succeeded. As the peasant picked up his load of vegetables, he noticed a purse lying in the road where the boulder had been. The purse contained many gold coins and a note from the king indicating that the gold was for the person who removed the boulder from the roadway. The peasant learned what many others never understand.
Every obstacle presents an opportunity to improve one’s condition.
石头的故事
从前有一个国王，他故意派人搬来一块大石头放在道路中间。然后这个国王躲在旁边静静地观察，想知道是否会有人过来把这块大石头搬走。有几个富有的商人经过这块石头，只是直接绕过它。之后又来了几个人，他们只是埋怨国王居然没有找人来清理道路，然后仍然是绕过这块巨石走掉了。又过了一会，一个农夫经过这里，他身上背着沉甸甸的蔬菜。走到巨石的前面，把身上背的蔬菜放下，然后试着去把这块巨大的石头移到道路的旁边。农夫竭尽全力去推那块巨石，终于成功得把石头推到道路的一侧。农夫背起蔬菜准备继续赶路，却发现石头原来所在的地方下面有一个袋子。农夫好奇得打开袋子，里面有许多金币还有一个纸条。纸条是国王留下的，原来金币是用来奖励移走石头的人。
这个小故事讲述了一个简单的道理：困境也有可能是机会。遇到困难的时候，有些人会像商人那样，直接选择放弃。有些人会像那几个埋怨者，只会抱怨却不想着付出行动来改变现状。很少人会像故事中的农夫那样选择迎难而上。然而，最终收获最多的往往就是这部分迎难而上的人。
平常生活中和工作中也是这样，遇到问题，首先要不抛弃不放弃，积极寻求解决方法。无休止的抱怨只会白白错失机会，抱怨多了，好运气也会绕道而行。在困境中寻找机会方法，在挫折中吸取经验教训，那么就会很容易走出困境了，说不定还会有意外的收获哦！
![\displaystyle 10\geq \sqrt[3]{abc}](https://s0.wp.com/latex.php?latex=%5Cdisplaystyle+10%5Cgeq+%5Csqrt%5B3%5D%7Babc%7D&bg=ffffff&fg=1a1a1a&s=0&c=20201002)
Mathtuition88 