Math, Science, Reading Scores Show U.S. Schools Slipping Behind


Math, Science, Reading Scores Show U.S. Schools Slipping Behind

Posted: December 10, 2010 PRINTER FRIENDLY VERSION: PDF

The United States received a stark wake-up call this week with the release of international test results showing students in other countries are surpassing American students when it comes to math, science and reading. China and Australia outperformed the U.S. in each of the three subject areas tested.

The results of a major international education assessment show that American students are lagging behind many other countries in crucial skills like reading, math and science.

“The United States came in 23rd or 24th in most subjects. We can quibble, or we can face the brutal truth that we’re being out-educated,” said U.S. Education Secretary Arne Duncan.

Test compares U.S. to other countries

The PISA tests how advanced students are in science, math and reading compared to their peers around the world.

The test, known as the Program for International Student Assessment (PISA), directly assesses how prepared teenagers are in math, science and reading compared to their peers in other countries.
The test is translated into each country’s language, and officials from the participating countries are able to review questions before students take the exam to make sure each test is fair and unbiased.

In the U.S., the participating schools and students are randomly selected. On average, about 4,500 students are tested in each of the participating countries.

China and Finland lead the way

Chinese and Finnish students scored highest on the PISA test.

Each PISA subject area is scored on a scale where 500 points is the average. The results announced this week show many countries outperforming the U.S. Here’s a sample:

Math: China 600, Germany 513, United States 487 (31st place)

Reading: China 556, Korea 539, United States 500 (17th place)

Science: China 575, Finland 554, United States 502 (23rd place)

The results of a major international education assessment show that  American students are lagging behind many other countries in crucial skills like reading, math and science.

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Study Tips for Mathematics

Here are some useful study tips for Mathematics. The key to acing Maths is to understand that practice is key for Mathematics!

Sincerely hope these tips help.

Please do not study Maths like studying History, Literature or Geography, the study method for Maths is totally different and opposite from studying Humanities. Reading a Maths textbook without practicing is not very helpful at all.

Once a student understands the basic theory of a certain topic (usually just one or two pages of information), he or she can move on to practicing actual questions immediately. While practicing, the student will then learn more and more knowledge and question-answering strategies for that Maths topic.

Even if you already know how to do a question, it is useful to practice it to improve on speed and accuracy.

The study strategy for Maths and Physics are kind of similar, hence usually you will find that students who are good in Maths will also be good in Physics, and vice versa.

Students from China usually do very well in Maths exams because they understand the strategy for studying Maths (which works very well up till JC level), namely a lot of practice with understanding. The strategy is called “题海战术” in Chinese, which means “immersing oneself in a sea of questions”.

Source for diagram below: Email from JobsCentral BrightMinds

maths mindmap

In China, all parents know that maths is the number one subject in schools


‘Above all, it is a cultural thing.” Professor Lianghuo Fan is reflecting on the differences he has noticed between maths education in China and Singapore, where he lived and taught for 40 years, and in Britain, where he is now based. “In China, all parents know that maths is the number one subject in schools, and they expect that in a modern society everyone must be comfortable with maths, even if that means they have to work hard at it.“That attitude is passed on to their children. But here in Britain, you can feel students’ attitude about mathematics is different. They feel all right if they say they don’t like mathematics.”

Professor Fan is not alone in highlighting this national phobia of ours about maths. The government has this week shown itself determined to tackle the problem head on with the unveiling of a new “back-to-basics” primary school maths curriculum, with a renewed emphasis on times-tables, mental arithmetic, fractions and rote learning.

Most people over 40 will see the proposals as a return to the classroom practice of their childhood – but in its introductory remarks the Department for Education claimed inspiration from Asian model that Professor Fan knows so well: “I never heard a child in China or Singapore say that they don’t like maths’,” he stresses, “without a sense of embarrassment.”

We are sitting in a café near Southampton University – where 50-year-old Professor Fan has been head of the Mathematics and Science Education Research Centre since 2010 – as we try to decide if anything lies behind the popular stereotype that Asian children are “naturally” better at maths than those in the West. It is, for example, in the core storyline of Safe, the recent Hollywood blockbuster, starring Jason Statham. An 11-year-old girl, Mei (played by Chinese-born actress Catherine Chan), is a maths prodigy who can decode number sequences at a glance – and therefore has to be protected from the baddies.

Math Mark

Formula to guess Month of Birthday from Singapore NRIC

Latest Update: We have created a JavaScript App to Guess Birthday Month from NRIC


Here is a Math Formula trick to have fun with your friends, to guess their Month of Birthday given their NRIC, within two tries.

(only works for Singapore citizens born after 1970)

The formula is: take the 3rd and 4th digit of the NRIC, put them together, divide by 10, and multiply by 3.

For an example, if a person’s NRIC is S8804xxxx, we take 04, divide by 10 to get 0.4

Then, 0.4 multiplied by 3 gives 1.2

Then, guess that the person is either born in January (round down 1.2 to 1) or February (round up 1.2 to 2). There is a high chance that you are right! Usually, round up for the first six months (Jan to Jun), and round down for the last six months (Jul to Dec).

This formula was developed and tested by me. There are some exceptions to the rule, but generally it works fine especially for people born from 1980 to 2000.

Hope you have fun with maths, and impress your friends!


Shakuntala Devi’s 84th birthday: Google doodles a calculator for the human computer


Shakuntala Devi\'s 84th birthday: Google doodles a calculator for the human computer

New Delhi: Google is celebrating the 84th birth anniversary of mathematical genius Shakuntala Devi, nicknamed “human computer” for her ability to make complex mental calculations, with a doodle on its India home page.

The doodle salutes Shakuntala Devi’s amazing calculating abilities with a doodle that resembles a calculator.

Shakuntala Devi found a slot in the Guinness Book of World Record for her outstanding ability and wrote numerous books like ‘Fun with Numbers’, ‘Astrology for You’, ‘Puzzles to Puzzle You’, and ‘Mathablit’. She had the ability to tell the day of the week of any given date in the last century in a jiffy. Coming from a humble family, Shakuntala Devi’s father was a circus performer who did trapeze, tightrope and cannonball shows.

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Puzzles to Puzzle You

Mathematician gives evidence at the O.J Simpson trial, helped find diamonds and now is determining the cause of cancer.

Who says Mathematics is useless? It can be useful one day in your career, or just for increasing your general knowledge.


Mathematician Professor Terry Speed wins PM’s science prize


Professor Terry Speed, Head of Bioinformatics at the Walter and Eliza Hall Institute of Medical Research, Melbourne, who has bee

Professor Terry Speed, Head of Bioinformatics at the Walter and Eliza Hall Institute of Medical Research, Melbourne, who has been awarded the Prime Minister’s Award for Science. Picture: Ray Strange Source: News Limited

The man who last night won the Prime Minister’s Science Prize agrees maths is “not sexy” but it saw him give evidence at the O.J Simpson trial, helped find diamonds and now is determining the cause of cancer.

Mathematician Professor Terry Speed was called as an expert witness for O.J. Simpson in the famous 1995 murder trial where he helped explain to the jury how statistics underpinning DNA worked.

Simpson was acquitted after a trial that lasted more than eight months because his lawyers were able to persuade the jurors that there was reasonable doubt about the DNA evidence.

Forty five years ago Professor Speed testified at the trial of Ronald Ryan, the last man to be hanged in Australia.

He had to explain the geometry of the trajectory of bullets in the case.

In an extensive career the 70 year old statistics whiz has helped determine the size and distribution of Argyle diamonds and looked at kangaroo genomics.

Right now he is working at the cutting edge of medical science helping scientists develop statistical tools to understand the huge volumes of information coming from the human genome.

Work he’s done for a company on a thyroid cancer diagnostic test could help prevent thousands of people from having their thyroids removed unnecessarily.

At present some thyroid tests are inconclusive and tumours are removed even though they turn out to be benign leaving the patient taking hormone replacement therapy for the rest of their lives.

Some of his work is in developing tools that find which genes or gene characteristics may cause cancer if they are switched on or off.

Professor Speed says part of the reason so many people don’t want to study maths and science is they don’t see its potential.

He’s spent his life applying mathematical theories to crime, farming, mining and medical science.


What is the Difference between H1 Mathematics, H2 Mathematics and H3 Mathematics?


Note: Additional Mathematics is very helpful to take H2 Mathematics in JC!


There are three mathematics syllabi, namely H1 Mathematics, H2 Mathematics and H3 Mathematics.

Students who offered Additional Mathematics and passed the subject at the GCE ‘O’ level examination may take up H2 Mathematics. Students posted to the Arts stream and did not offer Additional Mathematics at the GCE ‘O’ level examination are not allowed to take H2 Mathematics but may consider taking up H1 Mathematics. However, students who are posted to the Science stream but did not offer Additional Mathematics at the GCE ‘O’ level examination are advised to offer H2 Mathematics if they intend to pursue Science or Engineering courses at a university. Students who wish to offer H3 Mathematics must offer H2 Mathematics as well.

The use of a Graphing Calculator (GC) without a computer algebra system is expected for these Mathematics syllabi. The examination papers will be set with the assumption that candidates will have access to GCs.

H1 Mathematics

H1 Mathematics provides a foundation in mathematics for students who intend to enrol in university courses such as business, economics and social sciences. The topics covered include Graphs, Calculus and Statistics. A major focus of the syllabus would be the understanding and application of basic concepts and techniques of statistics. This would equip students with the skills to analyse and interpret data, and to make informed decisions.

H2 Mathematics

H2 Mathematics prepares students adequately for university courses including mathematics, physics and engineering, where more mathematics content is required. The topics covered are Functions and Graphs, Sequences and Series, Vectors, Complex Numbers, Calculus, Permutations and Combinations, Probability, Probability Distributions, Sampling, Hypothesis Testing, and Correlation and Regression. Students would learn to analyse, formulate and solve different kinds of problems. They would also learn to work with data and perform statistical analysis.

H3 Mathematics

H3 Mathematics offers students who have a strong aptitude for and are passionate about mathematics a chance to further develop their mathematical modeling and reasoning skills. Opportunities abound for students to explore various theorems, and to read and write mathematical proofs. Students would learn the process of mathematical modeling for real-world problems, which involves making informed assumptions, validation and prediction. Students may choose from the three H3 Mathematics modules, namely the MOE-UCLES module, the NTU Numbers and Matrices module and the NUS Linear Algebra module.

The MOE-UCLES module is conducted by tutors from our Mathematics Department. The three main topics to be investigated are Graph Theory, Combinatorics and Differential Equations. This module would be mounted only if there’s demand.

The NTU Numbers and Matrices module is conducted by lecturers from the Nanyang Technological University (NTU). Students would have to travel to Hwa Chong Institution to attend this module.

The NUS Linear Algebra module is conducted by lecturers at the National University of Singapore (NUS). Students who offer this module would have to attend lessons together with the undergraduates at the university.

Maths Skills to be a Good Lawyer

Doctor and Lawyer are the top two favourite careers in Singapore. On the surface, Lawyers seem not to need much maths, but recent research shows that Mathematics skills and thinking may be crucial to becoming a better Lawyer.


There is a “highly significant relationship” between law students’ math skills and the substance of their legal analysis, according to research from Arden Rowell, a professor of law and the Richard W. and Marie L. Corman Scholar at Illinois.

CHAMPAIGN, Ill. — The stereotype of lawyers being bad with numbers may persist, but new research by two University of Illinois legal scholars suggests that law students are surprisingly good at math, although those with low levels of numeracy analyze some legal questions differently.

According to research from Arden Rowell and Jessica Bregant, there is a   “highly significant relationship” between law students’ math skills and the substance of their legal analysis, suggesting that legal analysis – and by extension, legal advice – may vary with a lawyer’s native math skills.

What the research shows is that math matters to lawyers more – and for different reasons – than people have realized,” said Rowell, a professor of law and the Richard W. and Marie L. Corman Scholar at Illinois. “People are only now starting to pay attention to the fact that lawyers and judges who are bad at math can make mistakes that ruin people’s lives. That implicates numeracy as a neglected but potentially critical aspect of legal education, because it’s not something that law schools have traditionally focused on when selecting students.”

Teachers have profound effect on students, says Heng Swee Keat


Education Minister Heng Swee Keat said teachers “grow knowledge, instill beliefs, inculcate values, nurture passion, and in so doing, they shape the future” of students.

          File photo: Minister for Education Heng Swee Keat

SINGAPORE: Education Minister Heng Swee Keat said on Thursday “teachers affect all of us more deeply” than one can know.

In a Facebook post ahead of Teachers’ Day on Friday, Mr Heng sent his warmest thoughts and admiration to all teachers who dedicate themselves to bringing out the best in children.

In the tribute to all teachers, Mr Heng said they “grow knowledge, instill beliefs, inculcate values, nurture passion, and in so doing, they shape the future” of their students.

He added that every child who grows up confident and compassionate has been affected by a caring teacher in some way.

Mr Heng said in order to give every child a profound educational experience, every teacher must be a caring educator.

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数学补习 (碧山)


教O Level E Maths 和 A Maths.



O Level E Maths and A Maths Tuition starting next year at Bishan

O Level E Maths and A Maths Tuition starting next year at Bishan
View Mr Wu’s GEP Testimonial at

Despite being in the Gifted Education Programme (GEP), Mr Wu is just an ordinary Singaporean. His secret to academic success is hard work and the Maths Techniques he has discovered by himself while navigating through the education system.

He would like to teach these techniques to students, hence choosing to become a full-time Mathematics tutor. Mr Wu has developed his own methods to check the answer, remember formulas (with understanding), which has helped a lot of students. Many Math questions can be checked easily, leading to the student being 100% confident of his or her answer even before the teacher marks his answer, and reducing the rates of careless mistakes.

Mr Wu’s friendly and humble nature makes him well-liked by students. Many of his students actually request for more tuition by themselves! (not the parents)

O Level E Maths and A Maths Tuition starting next year at Bishan, the best location in Central Singapore.

Timings are Monday 7-9pm, Thursday 7-9pm. Perfect for students who have CCA in the afternoon, or students who want to keep their weekends free.

Register with us now by email ( Vacancies will be allocated on a first-come-first-serve basis.

Thanks and wishing all a nice day.

Standard matrix in mathematics
Standard matrix in mathematics (Photo credit: Wikipedia)

Additional Maths — from Fail to Top in Class

Really glad to hear good news from one of my students.

From failing Additional Maths all the way, he is now the top in his entire class.

Really huge improvement, and I am really happy for him. 🙂

To other students who may be reading this, remember not to give up! As long as you persevere, it is always possible to improve.

Understanding the Birthday Paradox


23 people. In a room of just 23 people there’s a 50-50 chance of two people having the same birthday. In a room of 75 there’s a 99.9% chance of two people matching.

Put down the calculator and pitchfork, I don’t speak heresy. The birthday paradox is strange, counter-intuitive, and completely true. It’s only a “paradox” because our brains can’t handle the compounding power of exponents. We expect probabilities to be linear and only consider the scenarios we’re involved in (both faulty assumptions, by the way).

Let’s see why the paradox happens and how it works.

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Missing dollar riddle; Maths Group Tuition 2014

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Maths can be fun too!
Build up interest in Mathematics by trying out some of these interesting Maths Riddles.


The riddle

Three guests check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn’t know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 for himself. Each guest got $1 back: so now each guest only paid $9; bringing the total paid to $27. The bellhop has $2. And $27 + $2 = $29 so, if the guests originally handed over $30, what happened to the remaining $1?

Try it out before looking at the answer!

NUS Maths Alumnus Dr Yeo Sze Ling mentioned in National Day Rally 2013

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Dr Yeo Sze Ling is sincerely a good example of perseverance for all Maths students, including myself!

(Go to 01h18m50s)



But perhaps the most memorable moment of all was when Lee became visibly emotional after sharing the heartwarming success story of visually handicapped A-star researcher Dr Yeo Sze Ling.

“Sze Ling proves that you can do well if you try hard, no matter what your circumstances, and that is also how we can contribute back to society, to keep the system fair for all,” said Lee, who then visibly teared and choked up,  but quickly composed himself.

PM Lee was emphasising the importance of meritocracy in Singapore’s education system, which he acknowledged needed more changes — for example, it can be more holistic and less competitive.


5 awarded prestigious President’s Scholarship at Istana ceremony

Maths Group Tuition starting in 2014


SINGAPORE – Five government scholarship recipients, including a missionaries’ child who grew up in Papua New Guinea and a Youth Olympic Games triathlete, have been awarded the prestigious President’s Scholarships this year, at a ceremony at the Istana on Friday evening.

Get the full story from The Straits Times.

Here is the full speech by President Tony Tan:

Deputy Prime Minister Teo Chee Hean and Mrs Teo

Minister for Education Heng Swee Keat


Chairman and Members of the Public Service Commission

Ladies and Gentlemen

Good evening.

Each year, the Public Service Commission awards scholarships to outstanding young men and women who want to serve Singapore and Singaporeans through a career in the Public Service. The most prestigious undergraduate scholarship awarded by the Commission is the President’s Scholarship.

It is awarded to young Singaporeans who have the integrity and commitment to work for Singapore’s continued success. To be awarded a President’s Scholarship, one must demonstrate more than just excellence in academic and non-academic pursuits. One must also show a strong ethos for public service, impeccable character, remarkable leadership and dedication towards improving the lives of Singaporeans.

2013 President’s Scholars This evening, the President’s Scholarship is awarded to five exceptional young individuals who have distinguished themselves based on their leadership capabilities and calibre, and their passion to bring the nation forward.

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You can reach for the stars with Jaws, Braille and determination, mathematics whiz Yeo Sze Ling tells HELLEN TAN

Maths Group Tuition starting in 2014!


Counting on her mind

1,248 words 24 May 2005 Digital Life English (c) 2005 Singapore Press Holdings Limited

You can reach for the stars with Jaws, Braille and determination, mathematics whiz Yeo Sze Ling tells HELLEN TAN

Given that multiple degrees are common today, the fact that Miss Yeo Sze Ling has two degrees in mathematics, and is working on her doctorate in the same field, is probably not news.

Until you find out that she is blind.

The 27-year-old who earned her Bachelor’s degree (Honours) and a Master’s degree from National University of Singapore (NUS) is now into research on coding mathematics theories and cryptography.

These are used in computing algorithms to protect passwords or data from being stolen when they are zipped from computer to computer.

The field is an interest she shares with John Nash Jr, a mathematical genius who won a Nobel Prize, portrayed in the Oscar-winning movie, A Beautiful Mind.

Certainly, like Nash, her achievements should mean a lot.

He was a schizophrenic who thought he was doing secret cryptography work for the American government.

She has been blind from the age of about four when glaucoma struck. Glaucoma is a condition that increases pressure within the eyeball causing sight loss.

Technology has come in handy.

On campus, she totes a laptop.

At home in a four-room HDB flat in Bishan, her desktop Compaq PC holds today’s tech staples – e-mail and MSN Messenger for exchanging notes with friends.

The Internet is her source for research as well as for online newspapers or electronic books like A Beautiful Mind.

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Rote learning has to make way for digital literacy: Heng Swee Keat


Education Minister Heng Swee Keat has said that with information readily available, rote learning has to make way for digital literacy.

SINGAPORE: Education Minister Heng Swee Keat has said that with information readily available, rote learning has to make way for digital literacy.

Speaking at the Second International Summit of the Book on Friday, Mr Heng said there is a need to place greater emphasis on critical and inventive thinking.

Whether it is a papyrus, print or the iPad, it seems that books are here to stay.

Professor Tommy Koh, chairman of the Organising Committee of the Second International Summit of the Book, and Ambassador-at-Large, said: “I think the book will endure to the end of time.

“But the form of the book has changed and will change. The container will change, the platform on which we read the book will also change.

“My children, for example, prefer to read the book either on the computer, on the iPad, on the tablet and other electronic forms. I still prefer the printed book. But in one form or another, the book will endure. There can be no human civilisation without books.”

But the question is whether readers are able to discern truths from untruths, especially in an era that is inundated with information.

Mr Heng said: “Some fear that the technologically sophisticated books of the future will dull the mind, as we no longer bother to use our imagination to render words into sounds and images.

“They worry too that we will forget to think for ourselves after we close the book because social media offers such an array of ready-made opinions that we will just pick one off the virtual shelf rather than form our own.

“We need to place greater emphasis on critical and inventive thinking, so that we may go on to imagine and create new insights.

“At the workplace, as the information revolution transforms the nature of work, our ability to move from theory to practice, to apply learning imaginatively in different contexts, and to create new knowledge, will become increasing valuable.”

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Sergey Brin, co-founder of Google, studied Mathematics!

Maths Group Tuition to start in 2014!


Sergey Mikhaylovich Brin (Russian: Сергей Михайлович Брин; born August 21, 1973) is an American computer scientist and Internet entrepreneur who, with Larry Page, co-founded Google, one of the most profitable Internet companies.[4] As of 2013, his personal wealth was estimated to be $22.8billion.[2] Together, Brin and Page own about 16 percent of the company.

Brin immigrated to the United States with his family from the Soviet Union at the age of six. He earned his undergraduate degree at the University of Maryland, following in his father’s and grandfather’s footsteps by studying mathematics, as well as computer science. After graduation, he moved to Stanford University to acquire a Ph.D. in computer science. There he met Larry Page, with whom he later became friends. They crammed their dormitory room with inexpensive computers and applied Brin’s data mining system to build a superior search engine. The program became popular at Stanford and they suspended their PhD studies to start up Google in a rented garage.

The Economist newspaper referred to Brin as an “Enlightenment Man“, and someone who believes that “knowledge is always good, and certainly always better than ignorance”, a philosophy that is summed up by Google’s motto “Organize the world’s information and make it universally accessible and useful”[5][6] and “Don’t be evil“.

Education in the United States

Brin attended grade school at Paint Branch Montessori School in Adelphi, Maryland, but he received further education at home; his father, a professor in the department of mathematics at the University of Maryland, encouraged him to learn mathematics and his family helped him retain his Russian-language skills. In September 1990 Brin enrolled in the University of Maryland to study computer science and mathematics, where he received his Bachelor of Science in May 1993 with honors.[14]

Sergey Brin Ted 2010.jpg

Undergraduate Study in Mathematics (NUS)

Maths Group Tuition to start in 2014!

If you are interested in Mathematics, do consider to study Mathematics at NUS!



Undergraduate Study in Mathematics (NUS)


The Department of Mathematics at NUS is the largest department in the Faculty of Science. We offer a wide range of modules catered to specialists contemplating careers in mathematical science research as well as to those interested in applications of advanced mathematics to science, technology and commerce. The curriculum strives to maintain a balance between mathematical rigour and applications to other disciplines.

We offer a variety of major and minor programmes, covering different areas of mathematical sciences, for students pursuing full-time undergraduate studies. Those keen in multidisciplinary studies would also find learning opportunities in special combinations such as double degree, double major and interdisciplinary programmes.

Honours graduates may further their studies with the Graduate Programme in Mathematics by Research leading to M.Sc. or Ph.D. degree, or with the M.Sc. Programme in Mathematics by Course Work.

Studying at NUS Mathematics Department

Maths Group Tuition to start in 2014!


The history  of the Department of Mathematics at NUS traces back to 1929, when science  education began in Singapore with the opening of Raffles College with less than  five students enrolled in mathematics. Today it is one of the largest  departments in NUS, with about 70 faculty members and       teaching staff supported  by 13 administrative and IT staff.  The Department offers a wide selection  of courses (called modules) covering wide areas of mathematical sciences with  about 6,000 students enrolling in each semester. Apart from offering B.Sc.  programmes in Mathematics, Applied Mathematics and Quantitative Finance, the  Department also participates actively in major interdisciplinary programs,  including the double degree programme in Mathematics/Applied Mathematics and  Computer Science, the double major       programmes in Mathematics and Economics as  well as with other subjects, and the Computational Biology programme. Another  example of the Department’s student centric educational philosophy is the   Special Programme in Mathematics (SPM), which is specially designed for a  select group of students who have a strong passion and aptitude for  mathematics. The aim is to enable these students to build a solid foundation  for a future career in mathematical research or state-of-the-art applications  of mathematics in industry.

The  Department is ranked among the best in Asia in mathematical  research.   It offers a diverse and vibrant program in graduate  studies, in fundamental as well as applied mathematics. It promotes  interdisciplinary applications of mathematics in science, engineering and  commerce. Faculty members’ research covers all major areas of contemporary  mathematics. For more information, please see research overview, selected publications, and research     awards.

Academic grading in Singapore: How many marks to get A in Maths for PSLE, O Levels, A Levels

Maths Group Tuition


Singapore‘s grading system in schools is differentiated by the existence of many types of institutions with different education foci and systems. The grading systems that are used at Primary, Secondary, and Junior College levels are the most fundamental to the local system used.

Overcoming Math Anxiety

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“If you’ve ever said ‘I’m no good at numbers,’ this book can change your life.” (Gloria Steinem)

Primary 5 to 6 standard stream

  • A*: 91% and above
  • A: 75% to 90%
  • B: 60% to 74%
  • C: 50% to 59%
  • D: 35% to 49%
  • E: 20% to 34%
  • U: Below 20%

Overall grade (Secondary schools)

  • A1: 75% and above
  • A2: 70% to 74%
  • B3: 65% to 69%
  • B4: 60% to 64%
  • C5: 55% to 59%
  • C6: 50% to 54%
  • D7: 45% to 49%
  • E8: 40% to 44%
  • F9: Below 40%

The GPA table for Raffles Girls’ School and Raffles Institution (Secondary) is as below:

Grade Percentage Grade point
A+ 80-100 4.0
A 70-79 3.6
B+ 65-69 3.2
B 60-64 2.8
C+ 55-59 2.4
C 50-54 2.0
D 45-49 1.6
E 40-44 1.2
F <40 0.8

The GPA table differs from school to school, with schools like Dunman High School excluding the grades “C+” and “B+”(meaning grades 50-59 is counted a C, vice-versa) However, in other secondary schools like Hwa Chong Institution and Victoria School, there is also a system called MSG (mean subject grade) which is similar to GPA that is used.

Grade Percentage Grade point
A1 75-100 1
A2 70-74 2
B3 65-69 3
B4 60-64 4
C5 55-59 5
C6 50-54 6
D7 45-49 7
E8 40-44 8
F9 <40 9

The mean subject grade is calculated by adding the points together, then divided by the number of subjects. For example, if a student got A1 for math and B3 for English, his MSG would be (1+3)/2 = 2.

O levels grades

  • A1: 75% and above
  • A2: 70% to 74%
  • B3: 65% to 69%
  • B4: 60% to 64%
  • C5: 55% to 59%
  • C6: 50% to 54%
  • D7: 45% to 49%
  • E8: 40% to 44%
  • F9: Below 40%

The results also depends on the bell curve.

Junior college level (GCE A and AO levels)

  • A: 70% and above
  • B: 60% to 69%
  • C: 55% to 59%
  • D: 50% to 54%
  • E: 45% to 49% (passing grade)
  • S: 40% to 44% (denotes standard is at AO level only), grade N in the British A Levels.
  • U: Below 39%

Featured Mathematician of the Day: Shing-Tung Yau

Maths Group Tuition starting in 2014!


Shing-Tung Yau (Chinese: 丘成桐; pinyin: Qiū Chéngtóng; Cantonese Yale: Yāu Sìngtùng; born April 4, 1949) is a Chinese-born American mathematician. He won the Fields Medal in 1982.

Yau’s work is mainly in differential geometry, especially in geometric analysis. His contributions have had an influence on both physics and mathematics and he has been active at the interface between geometry and theoretical physics. His proof of the positive energy theorem in general relativity demonstrated—sixty years after its discovery—that Einstein‘s theory is consistent and stable. His proof of the Calabi conjecture allowed physicists—using Calabi–Yau compactification—to show that string theory is a viable candidate for a unified theory of nature. Calabi–Yau manifolds are among the ‘standard toolkit’ for string theorists today.

Yau was born in Shantou, Guangdong Province, China with an ancestry in Jiaoling (also in Guangdong) in a family of eight children. When he was only a few months old, his family emigrated to Hong Kong, where they lived first in Yuen Long and then 5 years later in Shatin. When Yau was fourteen, his father Chiou Chenying, a philosophy professor, died.

After graduating from Pui Ching Middle School, he studied mathematics at the Chinese University of Hong Kong from 1966 to 1969. Yau went to the University of California, Berkeley in the fall of 1969. At the age of 22, Yau was awarded the Ph.D. degree under the supervision of Shiing-Shen Chern at Berkeley in two years. He spent a year as a member of the Institute for Advanced Study, Princeton, New Jersey, and two years at the State University of New York at Stony Brook. Then he went to Stanford University.

Since 1987, he has been at Harvard University,[1] where he has had numerous Ph.D. students. He is also involved in the activities of research institutes in Hong Kong and China. He takes an interest in the state of K-12 mathematics education in China, and his criticisms of the Chinese education system, corruption in the academic world in China, and the quality of mathematical research and education, have been widely publicized.

Shing-Tung Yau at Harvard Law School dining hall
Shing-Tung Yau at Harvard Law School dining hall (Photo credit: Wikipedia)

Stanford University Research: The most important aspect of a student’s ideal relationship with mathematics

Source: Taken from Research by Stanford, Education: EDUC115N How to Learn Math

This word cloud was generated on August 9th based on 850 responses to the prompt “Please submit a word that, in your opinion, describes the most important aspect of a student’s ideal relationship with mathematics.”

stanford maths tuition word cloud

Prime Minister Lee Hsien Loong Truly Outstanding Mathematics Student

Just to share an inspirational story about studying Mathematics, and our very own Prime Minister Lee Hsien Loong. 🙂


(page 8/8)

Interview of Professor Béla Bollobás, Professor and teacher of our Prime Minister Lee Hsien Loong

I: Interviewer Y.K. Leong

B: Professor Béla Bollobás

I: I understand that you have taught our present Prime
Minister Lee Hsien Loong.

B: I certainly taught him more than anybody else in
Cambridge. I can truthfully say that he was an exceptionally
good student. I’m not sure that this is really known in
Singapore. “Because he’s now the Prime Minister,” people
may say, “oh, you would say he was good.” No, he was truly
outstanding: he was head and shoulders above the rest of
the students. He was not only the first, but the gap between
him and the man who came second was huge.

I: I believe he did double honors in mathematics and computer science.

B: I think that he did computer science (after mathematics) mostly because his father didn’t want him to stay in pure mathematics. Loong was not only hardworking, conscientious and professional, but he was also very inventive. All the signs indicated that he would have been a world-class research mathematician. I’m sure his father never realized how exceptional Loong was. He thought Loong was very good. No, Loong was much better than that. When I tried to tell Lee Kuan Yew, “Look, your son is phenomenally good: you should encourage him to do mathematics,” then he implied that that was impossible, since as a top-flight professional mathematician Loong would leave Singapore for Princeton, Harvard or Cambridge, and that would send the wrong signal to the people in Singapore. And I have to agree that this was a very good point indeed. Now I am even more impressed by Lee Hsien Loong than I was all those years ago, and I am very proud that I taught him; he seems to be doing very well. I have come round to thinking that it was indeed good for him to go into politics; he can certainly make an awful lot of difference.

H2 Maths 2012 A Level Solution Paper 2 Q6; H2 Maths Group Tuition


H_0: \mu=14.0 cm

H_1: \mu\neq 14.0 cm


\bar{x}\sim N(14,\frac{3.8^2}{20})

For the null hypothesis not to be rejected,


-1.95996<\frac{\bar{x}-14}{3.8/\sqrt{20}}<1.95996 (use GC invNorm function!)

12.3<\bar{x}<15.7 (3 s.f.)

(iii) Since \bar{x}=15.8 is out of the set 12.3<\bar{x}<15.7, the null hypothesis would be rejected. There is sufficient evidence that the squirrels on the island do not have the same mean tail length as the species known to her.

(technique: put in words what H_1 says!)

Geometry and Abraham Lincoln; O Level Maths Tuition Group


At age forty, Abraham Lincoln studied Euclid for training in reasoning, and as a traveling lawyer on horseback, kept a copy of Euclid’s Elements in his saddlebag.  In his biography of Lincoln, his law partner Billy Herndon tells how late at night Lincoln would lie on the floor studying Euclid’s geometry by lamplight. Lincoln’s logical speeches and some of his phrases such as “dedicated to the proposition” in the  Gettysburg address are attributed to his reading of Euclid.

Lincoln explains why he was motivated to read Euclid:

“In the course of my law reading I constantly came upon the word “demonstrate”.  I thought at first that I understood its meaning, but soon became satisfied that I did not.  I said to myself, What do I do when I demonstrate more than when I reason or prove? How does demonstration differ from any other proof?
I consulted Webster’s Dictionary. They told of ‘certain proof,’ ‘proof beyond the possibility of doubt’;  but I could form no idea of what sort of proof that was. I thought a great many things were proved beyond the possibility of doubt, without recourse to any such extraordinary process of reasoning as I understood demonstration to be.  I consulted all the dictionaries and books of reference I could find, but with no better results.  You might as well have defined blue to a blind man.
At last I said,- Lincoln, you never can make a lawyer if you do not understand what demonstrate means;  and I left my situation in Springfield, went home to my father’s house,  and stayed there till I could give any proposition in the six books of Euclid at sight.  I then found out what demonstrate means, and went back to my law studies.”
Iconic black and white photograph of Lincoln showing his head and shoulders.

NUS Top in Asia according to latest QS World University Rankings by Subject


Top in Asia according to latest QS World University Rankings by Subject

08 May 2013

NUS is the best-performing university in Asia in the 2013 QS World University Rankings by Subject. With 12 subjects ranked top 10, NUS has secured the 8th position among universities globally in this subject ranking.
On the results, NUS Deputy President (Academic Affairs) and Provost Professor Tan Eng Chye said: “This is a strong international recognition of NUS’ strengths in humanities and languages, engineering and technology, sciences, medicine and social sciences.”
Prof Tan noted that the rankings served as an acknowledgement of the exceptional work carried out by faculty and staff in education and research.
NUS fared well, ranking among the world’s top 10 universities for 12 subjects namely Statistics, Mathematics, Material Sciences, Pharmacy & Pharmacology, Communication & Media Studies, Geography, Politics & International Studies, Modern Languages, Computer Science & Information Systems and Engineering (mechanical, aeronautical, manufacturing, electrical & electronic, chemical).

Continue reading at:

Singapore matematika kuliah

Kami penuh waktu Matematika guru, Mr Wu (Citizen Singapura), memiliki pengalaman yang luas (lebih dari 7 tahun) di les matematika. Mr Wu telah mengajar matematika sejak tahun 2006.

Mr Wu adalah pasien dengan siswa, dan akan menjelaskan konsep jelas kepada mereka. Dia mendorong untuk siswa lemah, sedangkan siswa yang lebih kuat tidak akan merasa bosan karena Mr Wu akan memberikan latihan yang cukup menantang bagi mereka untuk belajar lebih banyak. Singkatnya, setiap siswa harus mengalami perbaikan setelah kuliah.

Mr Wu lulus dengan B.Sc. (First Class Honours) dengan Mayor di Matematika (National University of Singapore).

Kami sangat percaya bahwa kepribadian dan karakter guru adalah sama pentingnya dengan kualifikasi akademik. Untuk Matematika Tutor, kesabaran ketika menjelaskan kepada siswa mutlak diperlukan.

Tutor Kualifikasi:

NUS: B.Sc. (First Class Honours) dengan Mayor di Matematika, Daftar Dean (Top 5% dari seluruh Fakultas Ilmu)

A Level: Matematika (A), Fisika (A), Kimia (A), Biologi (A), General Paper (A1)

O Tingkat: (Raffles Institution)

Bahasa Inggris (A1), Gabungan Humaniora (A1), Geografi (A1), Matematika (A1), Matematika Tambahan (A1), Fisika (A1), Kimia (A1), Biologi (A1), Bahasa Cina lebih tinggi (A2)

PSLE: (Nanyang Primer) 281, Lee Hsien Loong Excellence Award

Bahasa Inggris (A *), Bahasa Cina (A *), Matematika (A *), Sains (A *), Bahasa Cina Tinggi (Distinction), Ilmu Sosial (Distinction)

Apakah dalam Program PMP dari Pratama ke tingkat sekunder.

Terdaftar dengan MOE sebagai Guru Bantuan

(Orang tua yang ingin melihat sertifikat Mr Wu silahkan email kami. Orang tua juga dapat melihat profil StarTutor Mr Wu pada, dengan sertifikat diverifikasi.)

Meskipun kualifikasi akademik Mr Wu, ia tetap seorang guru yang rendah hati dan sabar. Juga, orang tua dapat yakin bahwa Mr Wu mengajar pada tingkat yang siswa dapat sepenuhnya mengerti. Untuk A Level, kami akan mencoba untuk mengajarkannya dengan cara yang jelas dan sederhana sehingga bahkan Sec 3/4 siswa dapat mengerti. Untuk O Levels, kita akan mengajarkannya sedemikian rupa sehingga bahkan Sec 1/2 siswa dapat memahami, dan sebagainya.

Mr Wu hanyalah orang biasa yang telah menguasai keterampilan dan teknik yang diperlukan untuk unggul dalam matematika di Singapura. Dia ingin mengajarkan teknik ini untuk siswa, maka memilih untuk menjadi Matematika penuh waktu guru. Mr Wu telah mengembangkan metode sendiri untuk memeriksa jawaban, mengingat rumus (dengan pemahaman), yang telah membantu banyak siswa. Banyak pertanyaan Math dapat diperiksa dengan mudah, menyebabkan siswa menjadi 100% yakin nya atau jawabannya bahkan sebelum guru menandai jawabannya, dan mengurangi tingkat kesalahan ceroboh.

Mr Wu juga kakak dari dua mahasiswa kedokteran. Adiknya sedang belajar Kedokteran di Universitas Monash, dan adiknya sedang belajar Kedokteran di Yong Loo Lin School of Medicine, NUS.

Tujuan Pengajaran:

Tujuan pengajaran adalah untuk memungkinkan siswa untuk memahami konsep-konsep dalam silabus, meningkatkan minat pada pelajaran, dan untuk menjelaskan dengan jelas metode untuk memecahkan masalah matematika. Matematika adalah subjek yang sangat kumulatif, dasar yang kuat diperlukan untuk maju ke tingkat berikutnya. Kami sangat berharap dapat membantu lebih banyak siswa membangun fondasi yang kuat di Matematika.

Untuk Matematika, kami percaya bahwa cara terbaik untuk maju adalah melalui praktek dan pemahaman. Teknik untuk memeriksa jawaban dan metode singkat untuk menjawab pertanyaan lebih cepat berguna. Ketekunan sangat penting dalam Matematika, yang penting adalah untuk tidak menyerah, dan terus mencoba!

Untuk individu Matematika kuliah, tutor dapat melakukan perjalanan ke rumah siswa.

“Didiklah anak di jalan yang patut baginya: dan ketika dia sudah tua, dia tidak akan menyimpang dari itu.”

– Amsal 22:6

คณิตศาสตร์ชั้นเรียนกลุ่มที่จะเริ่มต้นในปีหน้า 2014

คณิตศาสตร์ชั้นเรียนกลุ่มที่จะเริ่มต้นในปีหน้า 2014


H2 Maths A Level 2012 Solution, Paper 2 Q5; H2 Maths Tuition


P(\text{patient has the disease and test positive})=0.001(0.995)=9.95\times 10^{-4}

P(\text{patient does not have the disease and he tests positive})=(1-0.001)(1-0.995)=4.995\times 10^{-3}

P(\text{result of the test is positive})=9.95\times 10^{-4}+4.995\times 10^{-3}=5.99\times 10^{-3}


Let A=patient has disease

Let B=result of test is positive

\displaystyle\begin{array}{rcl}P(A|B)&=&\frac{P(A\cap B)}{P(B)}\\    &=&\frac{(0.001)(0.995)}{5.99\times 10^{-3}}\\    &=&0.166    \end{array}

Note that the probability is surprisingly quite low! (This is called the False positive paradox, a statistical result where false positive tests are more probable than true positive tests, occurring when the overall population has a low incidence of a condition and the incidence rate is lower than the false positive rate. See


\displaystyle P(A|B)=\frac{(0.001)p}{(0.001)p+(1-0.001)(1-p)}=0.75

By GC, p=0.999666 (6 d.p.)

H2 Maths 2012 A Level Paper 2 Q4 Solution; H2 Maths Tuition


1 Jan 2001 –> $100

1 Feb 2001 —> $110

1 Mar 2001 –> $120

Notice that this is an AP with a=100d=10

\displaystyle\begin{array}{rcl}S_n&=&\frac{n}{2}(2a+(n-1)d)\\    &=&\frac{n}{2}(200+10(n-1))>5000    \end{array}


From GC, n>23.5

n=24 (months)

This is inclusive of 1 Jan 2001!!!

Thus, 1 Jan 2001 + 23 months —> 1 Dec 2002


1 Jan 2001 –> 100

end of Jan 2001 –> 1.005(100)

1 Feb 2001 –> 1.005(100)+100

end of Feb 2001 –> 1.005[1.005(100)+100]=1.005^2 (100)+1.005(100)

From the pattern, we can see that

\displaystyle\begin{array}{rcl}S_n&=&1.005^n(100)+1.005^{n-1}(100)+\cdots+1.005(100)\\    &=&\frac{a(r^n-1)}{r-1}\\    &=&\frac{1.005(100)[1.005^n-1]}{1.005-1}\\    &=&\frac{100.5(1.005^n-1)}{0.005}\\    &=&20100(1.005^n-1)    \end{array}




From GC, n>43.7

So n=44 months (inclusive of Jan 2001 !!!)

1 Jan 2001+36 months —> 1 Jan 2004

1 Jan 2004+7 months —> 1 Aug 2004

Then on 1 Sep 2004, Mr B will deposit another $100, making the amount greater than $5000.

Hence, answer is 1 Sep 2004.


Let the interest rate be x %.

Note that from Jan 2001 to Nov 2003 is 35 months. (Jan 2001 to Dec 2001 is 12 months, Jan 2002 to Dec 2002 is 12 months, Jan 2003 to Nov 2003 is 11 months :))


Modifying our formula in part ii, we get

\displaystyle S_n=\frac{(1+x/100)(100)[(1+x/100)^n-1]}{(1+x/100)-1}=4900

Setting n=35 and using GC, we get


Hence, the interest rate is 1.80%.

List of JCs in Singapore; H2 Maths Tuition


Junior Colleges (JC)

These offer two-year courses leading to the GCE A-level examination.

Code Zone College Name Established Address Type Special Programmes
English Chinese Abb.
0705 North Anderson Junior College 安德逊初级学院 AJC 1984 4500 Ang Mo Kio Avenue 6 Government
7001 West Anglo-Chinese School (Independent) IB World School 英华中学 (自主) ACS(I)-IBDP 2004 (IBDP) 121 Dover Road Independent IP, MEP
0803 West Anglo-Chinese Junior College 英华初级学院 ACJC 1977 25 Dover Close East Government-Aided MEP, DEP(TSD), LEP (EL)
0802 South Catholic Junior College 公教初级学院 CJC 1975 129 Whitley Road Government-Aided LEP (EL)
3101 East Dunman High School 德明政府中学 DHS 2005 – IP 10 Tanjong Rhu Road Autonomous IP, MEP, BSP, LEP (CL), AEP
0806 Central Hwa Chong Institution 华侨中学 HCI 1974 661 Bukit Timah Road Independent IP, HP, LEP (CL), AEP, BSP
0713 North Innova Junior College 星烁初级学院 IJC 2005 21 Champions Way Government LEP (ML)
0703 West Jurong Junior College 裕廊初级学院 JJC 1981 800 Corporation Road Government LEP (CL)
0712 East Meridian Junior College 美廉初级学院 MJC 2003 21 Pasir Ris Street 71 Government
0908 West Millennia Institute 励仁高级中学 MI 2004 60 Bukit Batok West Avenue 8 Government DTP
0805 North Nanyang Junior College 南洋初级学院 NYJC 1978 128 Serangoon Avenue 3 Government-Aided LEP (CL), AEP
0712 Central National Junior College 国家初级学院 NJC 1969 37 Hillcrest Road Government IP, HP, AEP, MEP, STaR
7801 West NUS High School of Mathematics and Science 新加坡国立大学附属数理中学 NUSHS 2005 20 Clementi Ave 1 Independent IP, DIP
0711 West Pioneer Junior College 先驱初级学院 PJC 1999 21 Teck Whye Walk Government
0704 South Raffles Institution 莱佛士初级学院 RI 1826 10 Bishan Street 21 Independent IP, HP, LEP (JL), LEP (EL), MEP, TSD
3103 West River Valley High School 立化中学 RVHS 1956 2006 – IP 6 Boon Lay Avenue Autonomous IP, BSP
0710 North Serangoon Junior College 实龙岗初级学院 SRJC 1988 1033 Upper Serangoon Road Government
0804 South Saint Andrew’s Junior College 圣安德烈初级学院 SAJC 1978 55 Potong Pasir Avenue 1 Government-Aided
0709 East Tampines Junior College 淡滨尼初级学院 TPJC 1986 2 Tampines Avenue 9 Government LEP (ML), TSD
0702 East Temasek Junior College 淡马锡初级学院 TJC 1977 22 Bedok South Road Government IP, HP, LEP (CL), MEP
0706 East Victoria Junior College 维多利亚初级学院 VJC 1984 20 Marine Vista Government IP, HP, TSD, NAV
0708 North Yishun Junior College 义顺初级学院 YJC 1986 3 Yishun Ring Road Government

Centralised Institutes (CI)

The only centralised institute is Millennia Institute (MI), which offers a three-year course leading to the GCE A-level examination in arts, science, and commerce.[3]

List of Secondary Schools in Singapore; A Maths Tuition


Mainstream schools

Name Type School code Area[2] Notes Website
Admiralty Secondary School Government 3072 Woodlands [1]
Ahmad Ibrahim Secondary School Government 3021 Yishun [2]
Anderson Secondary School Government, Autonomous 3001 Ang Mo Kio [3]
Anglican High School Government-aided, Autonomous, SAP Bedok
Anglo-Chinese School (Barker Road) Government-aided Novena
Anglo-Chinese School (Independent) Independent, IP Dover Offers the IB certificate
Ang Mo Kio Secondary School Government 3026 Ang Mo Kio
Assumption English School Government-aided Bukit Panjang
Balestier Hill Secondary School Government Novena
Bartley Secondary School Government 3002 Toa Payoh
Beatty Secondary School Government 3003 Toa Payoh
Bedok Green Secondary School Government Bedok
Bedok North Secondary School Government Bedok
Bedok South Secondary School Government Bedok
Bedok Town Secondary School Government Bedok
Bedok View Secondary School Government Bedok
Bendemeer Secondary School Government Kallang
Bishan Park Secondary School Government Bishan
Boon Lay Secondary School Government Jurong West
Bowen Secondary School Government Hougang
Broadrick Secondary School Government Geylang
Bukit Batok Secondary School Government Bukit Batok
Bukit Merah Secondary School Government Bukit Merah
Bukit Panjang Govt. High School Government, Autonomous Chua Chu Kang
Bukit View Secondary School Government Bukit Batok
Catholic High School Government-aided, Autonomous, SAP, IP Bishan
Canberra Secondary School Government Sembawang
Cedar Girls’ Secondary School Government, Autonomous 3004 Toa Payoh
Changkat Changi Secondary School Government Tampines
Chestnut Drive Secondary School Government Bukit Panjang
CHIJ Katong Convent Government-aided, Autonomous Marine Parade
CHIJ Secondary (Toa Payoh) Government-aided, Autonomous 7004 Toa Payoh
CHIJ St. Joseph’s Convent Government-aided Sengkang
CHIJ St. Nicholas Girls’ School Government-aided, Autonomous, SAP Ang Mo Kio
CHIJ St. Theresa’s Convent Government-aided Bukit Merah
Chong Boon Secondary School Government Ang Mo Kio
Chua Chu Kang Secondary School Government Chua Chu Kang
Church Secondary School Government-aided
Chung Cheng High School (Main) Government-aided, Autonomous, SAP Marine Parade
Chung Cheng High School (Yishun) Government-aided Yishun
Clementi Town Secondary School Government Clementi
Clementi Woods Secondary School Government Clementi
Commonwealth Secondary School Government, Autonomous Jurong East
Compassvale Secondary School Government Sengkang
Coral Secondary School Government Pasir Ris
Crescent Girls’ School Government, Autonomous Bukit Merah
Damai Secondary School Government Bedok
Deyi Secondary School Government Ang Mo Kio
Dunearn Secondary School Government Bukit Batok
Dunman High School Government, Autonomous, IP, SAP Kallang
Dunman Secondary School Government, Autonomous Tampines
East Spring Secondary School Government Tampines
East View Secondary School Government Tampines
Edgefield Secondary School Government Punggol
Evergreen Secondary School Government Woodlands
Fairfield Methodist Secondary School Government-aided, Autonomous Queenstown
Fajar Secondary School Government Bukit Panjang
First Toa Payoh Secondary School Government 3208 Toa Payoh
Fuchun Secondary School Government Woodlands
Fuhua Secondary School Government Jurong West
Gan Eng Seng School Government Bukit Merah
Geylang Methodist School (Secondary) Government-aided Geylang
Greendale Secondary School Government Punggol
Greenridge Secondary School Government Bukit Panjang
Greenview Secondary School Government Pasir Ris
Guangyang Secondary School Government Bishan
Hai Sing Catholic School Government-aided Pasir Ris
Henderson Secondary School Government Bukit Merah
Hillgrove Secondary School Government Bukit Batok
Holy Innocents’ High School Government-aided Hougang
Hong Kah Secondary School Government Jurong West
Hougang Secondary School Government Hougang
Hua Yi Secondary School Government Jurong West
Hwa Chong Institution Independent, IP, SAP Bukit Timah
Junyuan Secondary School Government Tampines
Jurong Secondary School Government Jurong West
Jurong West Secondary School Government Jurong West
Jurongville Secondary School Government Jurong East
Juying Secondary School Government Jurong West
Kent Ridge Secondary School Government Clementi
Kranji Secondary School Government Chua Chu Kang
Kuo Chuan Presbyterian Secondary School Government-aided Bishan
Loyang Secondary School Government Pasir Ris
MacPherson Secondary School Government Geylang
Manjusri Secondary School Government-aided Geylang
Maris Stella High School Government-aided, Autonomous, SAP 7111 Toa Payoh
Marsiling Secondary School Government Woodlands
Mayflower Secondary School Government Ang Mo Kio
Methodist Girls’ School (Secondary) Independent Bukit Timah
Montfort Secondary School Government-aided Hougang
Nan Chiau High School Government-aided, SAP Sengkang
Nan Hua High School Government, Autonomous, SAP Clementi
Nanyang Girls’ High School Independent, IP, SAP Bukit Timah Affiliated to Hwa Chong Institution
National Junior College Government, IP Bukit Timah
Naval Base Secondary School Government Yishun
New Town Secondary School Government Queenstown
Ngee Ann Secondary School Government-aided, Autonomous Tampines
Northlight School Independent
North View Secondary School Government Yishun
North Vista Secondary School Government Sengkang
Northbrooks Secondary School Government Yishun
Northland Secondary School Government Yishun
NUS High School of Mathematics and Science Independent, IP, Specialised Offers the NUS High School Diploma
Orchid Park Secondary School Government Yishun
Outram Secondary School Government Central
Pasir Ris Crest Secondary School Government Pasir Ris
Pasir Ris Secondary School Government
Paya Lebar Methodist Girls’ School (Secondary) Government-aided, Autonomous Hougang
Pei Hwa Secondary School Government Sengkang
Peicai Secondary School Government Serangoon
Peirce Secondary School Government Bishan
Ping Yi Secondary School Government Bedok
Pioneer Secondary School Government 3062 Jurong West
Presbyterian High School Government-aided Ang Mo Kio
Punggol Secondary School Government Punggol
Queenstown Secondary School Government Queenstown
Queensway Secondary School Government Queenstown
Raffles Girls’ School (Secondary) Independent, IP Central Affiliated to Raffles Institution
Raffles Institution Independent, IP Bishan
Regent Secondary School Government Chua Chu Kang
Riverside Secondary School Government Woodlands
River Valley High School Government, Autonomous, IP, SAP Jurong West
St. Andrew’s Secondary School Government-aided 7015 Toa Payoh
St. Patrick’s School Government-aided Bedok
School of Science and Technology, Singapore Independent, Specialised Clementi
School of the Arts, Singapore Independent, Specialised Offers the IB certificate
Sembawang Secondary School Government Sembawang
Seng Kang Secondary School Government Sengkang
Serangoon Garden Secondary School Government Serangoon
Serangoon Secondary School Government Hougang
Shuqun Secondary School Government Jurong East
Si Ling Secondary School Government Woodlands
Siglap Secondary School Government Pasir Ris
Singapore Chinese Girls’ School Independent Novena
Singapore Sports School Independent, Specialised
Springfield Secondary School Government Tampines
St. Anthony’s Canossian Secondary School Government-aided, Autonomous Bedok
St. Gabriel’s Secondary School Government-aided Serangoon
St. Hilda’s Secondary School Government-aided, Autonomous Tampines
St. Margaret’s Secondary School Government-aided, Autonomous Bukit Timah
St. Joseph’s Institution Independent Novena
Swiss Cottage Secondary School Government Bukit Batok
Tampines Secondary School Government Tampines
Tanglin Secondary School Government Clementi
Tanjong Katong Girls’ School Government, Autonomous Marine Parade
Tanjong Katong Secondary School Government, Autonomous Marine Parade
Teck Whye Secondary School Government Chua Chu Kang
Temasek Academy Government, IP Affiliated to Temasek Junior College
Temasek Secondary School Government, Autonomous Bedok
Unity Secondary School Government Chua Chu Kang
Victoria Junior College Government, IP
Victoria School Government, Autonomous
West Spring Secondary School Government Bukit Panjang
Westwood Secondary School Government Jurong West
Whitley Secondary School Government Bishan
Woodgrove Secondary School Government Woodlands
Woodlands Ring Secondary School Government Woodlands
Woodlands Secondary School Government Woodlands
Xinmin Secondary School Government, Autonomous Hougang
Yio Chu Kang Secondary School Government Ang Mo Kio
Yishun Secondary School Government Yishun
Yishun Town Secondary School Government, Autonomous Yishun
Yuan Ching Secondary School Government Jurong West
Yuhua Secondary School Government Jurong West
Yusof Ishak Secondary School Government Bukit Batok
Yuying Secondary School Government-aided Hougang
Zhenghua Secondary School Government Bukit Panjang
Zhonghua Secondary School Government, Autonomous Serangoon

Youngest NUS graduates for 2012 – 08Jul2012


Published on Jul  9, 2012

SINGAPORE – Douglas Tan was only seven years old when he discovered a knack for solving mathematical problems, tackling sums meant for the upper primary and secondary levels.
He went on to join the Gifted Programme in Rosyth Primary School and, in 2006, enrolled in the National University of Singapore High School of Math and Science (NUSHS). At 15, he was offered a place at the National University of Singapore (NUS) Faculty of Science to study mathematics.
Tomorrow, the 19-year-old will be this year’s youngest graduate at NUS, receiving his Mathematics degree with a First Class Honours. This puts him almost six years ahead of those his age.
Douglas, who is currently serving his National Service (NS), said the thought of going to prestigious universities overseas never occurred to him. “I was just happy doing what I was doing – solving math problems,” he said.
In every class he took, Douglas was the youngest but it was neither “awkward nor tough to fit in”, he said. In fact, his age was a good conversation starter and his classmates, who were typically three to five years older, would take care of him.
Seeing that he could complete his degree before he entered NS, Douglas took on three modules a semester and completed the four-year course in just two and a half years.
The longest he had ever spent on a math problem was 10 hours over a few days. “I’m a perfectionist. When I do a problem, I try to do it with 100 per cent,” he noted.
Douglas aspires to be a mathematician and is looking into a Masters degree but he has yet to decide if he wants to do it here or overseas.
Another young outstanding graduate this year is 20-year-old Carmen Cheh, who received her degree in Computer Science last Friday with a First Class Honours and was on the dean’s list every academic year of the four-year course.
Offered a place at the NUS School of Computing after three and a half years in NUSHS, Carmen was then the youngest undergraduate of the programme at 16.
She was introduced to computer science and concept programming at 11 by her father, a doctor who also challenged her to solve puzzles he created. Her inability to solve them spurred her interest in the subject.
Carmen, who is from Perak in Malaysia, said she decided to study for her degree in Singapore as she wanted to study in a country she felt “comfortable” in. At the same time, she was awarded an ASEAN scholarship to study in the Republic.
Next month, Carmen will begin her doctoral programme in Computer Science with a research assistantship at the University of Illinois at Urbana-Champaign.
The youngest ever to enrol into the NUS undergraduate programme is Abigail Sin, who entered the Yong Siew Toh Conservatory of Music at 14. She graduated in 2010 at age 18 with First Class Honours. She also received the Lee Kuan Yew gold medal.
This week, NUS celebrates the graduation of 9,913 students, its largest cohort in six years.­0000039/Theyre-ahead-of-the-class

Information about Mathematics Department Courses (Nanyang JC)


H1 Mathematics

H1 Mathematics provides a foundation in mathematics for students who intend to enrol in university courses such as business, economics and social sciences. The syllabus aims to develop mathematical thinking and problem solving skills in students. A major focus of the syllabus will be the understanding and application of basic concepts and techniques of statistics. This will equip students with the skills to analyse and interpret data, and to make informed decisions. The use of graphic calculator is expected.

H2 Mathematics

H2 Mathematics prepares students adequately for university courses including mathematics, physics and engineering, where more mathematics content is required. The syllabus aims to develop mathematical thinking and problem solving skills in students. Students will learn to analyse, formulate and solve different types of problems. They will also learn to work with data and perform statistical analyses. The use of graphic calculator is expected.

This subject assumes the knowledge of O-Level Additional Mathematics.

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अगले साल शुरू करने के लिए गणित समूह ट्यूशन क्लास, 2014.

अगले साल शुरू करने के लिए गणित समूह ट्यूशन क्लास, 2014.
गणित शिक्षण केंद्र

Gotthold Eisenstein (Mathematician)

Gotthold Eisenstein (Mathematician)

*Not Einstein!

Ferdinand Gotthold Max Eisenstein (16 April 1823 – 11 October 1852) was a German mathematician. He specialized in number theory and analysis, and proved several results that eluded even Gauss. Like Galois and Abel before him, Eisenstein died before the age of 30. He was born and died in Berlin, Prussia.

Gauss … in conversation once remarked that, there had been only three epoch-making mathematicians: Archimedes, Newton, and Eisenstein.


Gotthold Eisenstein.jpeg

Does one have to be a genius to do maths?


Better beware of notions like genius and inspiration; they are a sort of magic wand and should be used sparingly by anybody who wants to see things clearly. (José Ortega y Gasset, “Notes on the novel”)

Does one have to be a genius to do mathematics?

The answer is an emphatic NO.  In order to make good and useful contributions to mathematics, one does need to work hard, learn one’s field well, learn other fields and tools, ask questions, talk to other mathematicians, and think about the “big picture”.  And yes, a reasonable amount of intelligence, patience, and maturity is also required.  But one does not need some sort of magic “genius gene” that spontaneously generates ex nihilo deep insights, unexpected solutions to problems, or other supernatural abilities.

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