Finding E Maths or A Maths Difficult?

Are you finding Elementary Maths (E Maths) or Additional Maths (A Maths) Difficult?

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, \displaystyle\frac{d}{dx}(\frac{u}{v})=\frac{v\frac{du}{dx}-u\frac{dv}{dx}}{v^2}, you will automatically memorize it once you have done enough practice.

In the end, you may even find that E Maths or A Maths is easy!


Motivational Story to motivate you

(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.


Chinese Version

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!

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Is the Universe Made of Math?

Source: http://www.scientificamerican.com/article.cfm?id=is-the-universe-made-of-math-excerpt


Our Mathematical Universe: My Quest for the Ultimate Nature of Reality

In this excerpt from his new book, Our Mathematical Universe, M.I.T. professor Max Tegmark explores the possibility that math does not just describe the universe, but makes the universe

By Max Tegmark

What’s the answer to the ultimate question of life, the universe, and everything? In Douglas Adams’ science-fiction spoof “The Hitchhiker’s Guide to the Galaxy”, the answer was found to be 42; the hardest part turned out to be finding the real question. I find it very appropriate that Douglas Adams joked about 42, because mathematics has played a striking role in our growing understanding of our Universe.

The Higgs Boson was predicted with the same tool as the planet Neptune and the radio wave: with mathematics. Galileo famously stated that our Universe is a “grand book” written in the language of mathematics. So why does our universe seem so mathematical, and what does it mean? In my new book “Our Mathematical Universe”, I argue that it means that our universe isn’t just described by math, but that it is math in the sense that we’re all parts of a giant mathematical object, which in turn is part of a multiverse so huge that it makes the other multiverses debated in recent years seem puny in comparison.

Math, math everywhere! But where’s all this math that we’re going on about? Isn’t math all about numbers? If you look around right now, you can probably spot a few numbers here and there, for example the page numbers in your latest copy of Scientific American, but these are just symbols invented and printed by people, so they can hardly be said to reflect our Universe being mathematical in any deep way.

Continue reading at: http://www.scientificamerican.com/article.cfm?id=is-the-universe-made-of-math-excerpt