“How do I learn math is correct?”
“Learning mathematics is learning to live. Mathematics is a way of life. ”
Trachtenberg risked his life against Hitler. Trachtenberg, after exploring the principles of mathematics, concludes that the principle of life is harmony. Battle that continues to flare, sparked hatred is not in accordance with the principles of mathematics. Math is beautiful.
Top of this opposition, Hitler rewarded Trachtenberg imprisonment. For Trachtenberg, perjara am nothing. Inside the jail, he in fact have the opportunity to think about mathematics without much interference. Because it is difficult to get stationery, Trachtenberg developed a mathematical approach based mental-imagination.
A thousand years before that, AlKhawaritzmi develop new mathematical discipline: algebra. AlKharitzmi lucky to live in a strong Islamic environment. Teachings of Islam, is inherently, require a high level math skills. For example, Islam set the rule that details the division of inheritance. The division of the Islamic system of inheritance involves many variables mathematically. A variety of variables which challenged Islamists – including AlKhawaritzmi – to find an elegant solution.
Solution to the system of equations involving many variables lead to the new discipline of mathematics: algebra. AlKhawaritzmi write a special book on algebra which was phenomenal. This book entitled Algebraic be role models for mathematicians around the world. So the name became known as AlKhawaritzmi AlKhawaritzmi Algebra (Algebra Algorithm).
Islamic calendar system based on the lunar (moon, lunar) to be challenging. Initial determination to be a crucial month in Islam. Unlike syamsiah calendar (sun, solar). In syamsiah calendar, we are not so sensitive to what difference the date of June 1 to June 2. But on the lunar system, the difference in a two Ramadhan Ramadhan premises have a major impact.
That’s why Islamic astronomy can be advanced earlier. Astronomy trigger further development of the theory of trigonometry. Rules sine, cosine, and his friends growing fast in the hands of Islamic astronomers at that time.
Religious teachings of Islam is a way of life. To be able to carry out the necessary mathematical teachings of Islam. Mathematics becomes a way of life.
As great as this is that the role of mathematics?
Should we take mathematics as a way of life?
Not always! Not everyone needs to take mathematics as a way of life. Not necessarily to imitate everyone AlKhawaritzmi and Trachtenberg.
Some people learn mathematics just for fun. Some other studies because of the liability. There also studied mathematics in order to increase positions. There is also to pass the examination, SPMB, UMPTN. There is also to be a champion.
Each destination, imply the different ways of learning mathematics. For example if you are studying mathematics for the sake of passing the national examination, SPMB, UMPTN 2008 will be different from learning to win an Olympic mathematics.
Mathematics examination, SPMB, UMPTN 2008 only apply multiple choice questions. The implication is you are only judged on your final answer. The process you find the answers is not important. So you must choose a strategy that quickly and accurately.
Use a variety of fast formulas in mathematics. Fast powerful formula you use for the UN, SPMB, UMPTN. But quick math formula will not be useful for future Olympic or college calculus in college. You should be aware of it.
Examples of rapid mathematical formula which is often (almost always) useful when the UN, SPMB, UMPTN is a formula of arithmetic progression.
Total n the first term of a sequence is Sn = 3n ^ 2 + n. So the 11 tribes of the series is …
Of course there are many ways to solve this problem.
The first mode, determine a formula used to calculate the Un and U11. This mode is quite long. However good you are trying to improve their skills and understanding of the concept of a series. Un formula can be obtained from the difference between Sn – S (n-1).
The second way, a little more clever than the first way. We do not need to specify the formula Un. Because we were not asked these formulas. We directly calculate the difference by counting U11
S11 – S10 = U11
[3 (11 ^ 2) + 11] – [3 (10 ^ 2) + 10]
= 3121-3100 + 11-10
= 3:21 + 1
The third way, is a mathematical formula the second fastest of the above formula. But before implementing a third way, we must understand the concept well in advance.
Are you ready?
Standard form of n the first term is the arithmetic progression
Sn = (b / 2) n ^ 2 + k.n
Un = b (n-1) + a
a = S1 = U1
You must understand the concept of the above well. Try some different questions. Without a good understanding of the concept, this quick formula will change to the formula weight.
With only see part (without counting in the paper) that
Sn = 3n ^ 2 + n
b = 6 (from 3 x 2)
a = 4 (from S1 = 3 + 1)
U11 = 6:10 + 4 = 64 (Complete)
All the above calculations we can do without the use of stationery. All we do is only in our imaginations. Repeat several times. You must be mastered well.
The trick to mastering the formula quickly mastered mathematics is also the standard formula – the formula typically. By mastering these two ways you will be more skilled at using mathematical formulas faster.
What is your opinion?
Sincerely …. Good luck mate!