"How do I learn math is right?"
"Learning mathematics is learning to live. Mathematics is a way of life. "
Trachtenberg, risking his life against Hitler. Trachtenberg, after a dive into the principles of mathematics, concluded that the principle of life is harmony. Wars that continued to flare, incitement of hatred is not in accordance with the principles of mathematics. Mathematics is beauty.
Top of this opposition, Hitler rewarded Trachtenberg imprisonment. For Trachtenberg, perjara nothing. In prison, he actually has a chance to think of mathematics without much interruption. Because it is difficult to get stationery, Trachtenberg developed a mathematical approach based mental-imagination.
A thousand years before that, AlKhawaritzmi developed a new mathematical discipline: algebra. AlKharitzmi fortunate to live in a strong Islamic environment. The teachings of Islam, inherently, require a high level math skills. For example, Islam set the rules that detail the division of inheritance. The division of the Islamic system of inheritance involves a lot of mathematical variables. Diverse variables that are challenging the Islamists - including AlKhawaritzmi - to find an elegant solution.
The solution to the system of equations involving many variables this leads to a new discipline of mathematics: algebra. AlKhawaritzmi write a book specifically on algebra which is phenomenal. Book called Algebra is a role model 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) provides its own challenges. Determination of the initial months are crucial in Islam. Unlike the calendar Syamsiah (sun, solar). In the calendar Syamsiah, we are not so sensitive to what different 1st June to 2nd June . But on the lunar system, the difference 1st Ramadan and 2nd Ramadan premises have a major impact.
That is why, Islamic astronomy can be advanced earlier. Astronomy trigger further development of the theory of trigonometry. Rules sine, cosine, and his friends growing rapidly in the hands of the Islamic astronomers at that time.
Teachings of Islam is a way of life. To be able to implement the teachings of Islam required of mathematics. Mathematics became a way of life.
Is that as good as 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 everyone should emulate AlKhawaritzmi and Trachtenberg.
Some people learn mathematics just for fun. Others have learned because of the obligation. There is also a study mathematics in order to move up. There is also to pass the examination, SPMB, SNMPTN. There is also to be a champion.
Each of these objectives, implies a different way of learning mathematics. For example if you are studying mathematics for the sake pass the examination, SPMB, SNMPTN 2011 will be different from learning to win an Olympic mathematics.
UN Mathematics, SPMB, SNMPTN only apply multiple choice questions. The implication you are only judged by your final answer. The process you find the answers is not important. So you must choose the strategy that quickly and accurately.
Use a variety of fast formulas in mathematics. Quick powerful formula you use for the UN, SPMB, SNMPTN. But a quick mathematical formulas would not be useful for future Olympic or college calculus in college. You should be aware of it.
Examples of rapid mathematical formula that is often (almost always) is useful when the UN, SPMB, SNMPTN is a formula of arithmetic series.
Example question:
The number of first n terms of a series is Sn = 3n ^ 2 + n. So the tribe to the 11th of the series is ...
Certainly there are many ways to solve this problem.
The first way, determine a formula used to calculate U11 Un later. This method is quite long. However good you are trying to improve their skills and understanding of the concept of the 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 are not asked these formulas. We directly calculate the U11 by calculating the difference
S11 - S10 = U11
[3 (11 ^ 2) + 11] - [3 (10 ^ 2) + 10]
= 3121-3100 + 11-10
= 3.21 + 1
= 64
The third way, is the mathematical formula of the fastest of the two formulas above. But before applying the third way, we must understand the concept well in advance.
Are you ready?
Standard form of the first n terms of arithmetic series is
Sn = (b / 2) n ^ 2 + k.n
Un = b (n-1) + a
a = S1 = U1
You have to understand the concept of the above well. Try some different questions. Without a good understanding of concepts, this quick formula will change to the formula weight.
By just looking at a matter of (not counting the paper) that
Sn = 3n ^ 2 + n
We obtain
b = 6 (from 3 x 2)
a = 4 (from S1 = 3 + 1)
U11 = 6.10 + 4 = 64 (Completed)
All the above calculations we can do without the use of stationery. All we do is only in our imagination. Repeat several times. You will definitely master it well.
The trick to quickly master the mathematical formula is also mastered the standard formula - the formula used to. By mastering these two ways you will be more skilled at using mathematical formulas faster.
How do you think?
Warmest regards .... Good luck!
"Learning mathematics is learning to live. Mathematics is a way of life. "
Trachtenberg, risking his life against Hitler. Trachtenberg, after a dive into the principles of mathematics, concluded that the principle of life is harmony. Wars that continued to flare, incitement of hatred is not in accordance with the principles of mathematics. Mathematics is beauty.
Top of this opposition, Hitler rewarded Trachtenberg imprisonment. For Trachtenberg, perjara nothing. In prison, he actually has a chance to think of mathematics without much interruption. Because it is difficult to get stationery, Trachtenberg developed a mathematical approach based mental-imagination.
A thousand years before that, AlKhawaritzmi developed a new mathematical discipline: algebra. AlKharitzmi fortunate to live in a strong Islamic environment. The teachings of Islam, inherently, require a high level math skills. For example, Islam set the rules that detail the division of inheritance. The division of the Islamic system of inheritance involves a lot of mathematical variables. Diverse variables that are challenging the Islamists - including AlKhawaritzmi - to find an elegant solution.
The solution to the system of equations involving many variables this leads to a new discipline of mathematics: algebra. AlKhawaritzmi write a book specifically on algebra which is phenomenal. Book called Algebra is a role model 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) provides its own challenges. Determination of the initial months are crucial in Islam. Unlike the calendar Syamsiah (sun, solar). In the calendar Syamsiah, we are not so sensitive to what different 1st June to 2nd June . But on the lunar system, the difference 1st Ramadan and 2nd Ramadan premises have a major impact.
That is why, Islamic astronomy can be advanced earlier. Astronomy trigger further development of the theory of trigonometry. Rules sine, cosine, and his friends growing rapidly in the hands of the Islamic astronomers at that time.
Teachings of Islam is a way of life. To be able to implement the teachings of Islam required of mathematics. Mathematics became a way of life.
Is that as good as 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 everyone should emulate AlKhawaritzmi and Trachtenberg.
Some people learn mathematics just for fun. Others have learned because of the obligation. There is also a study mathematics in order to move up. There is also to pass the examination, SPMB, SNMPTN. There is also to be a champion.
Each of these objectives, implies a different way of learning mathematics. For example if you are studying mathematics for the sake pass the examination, SPMB, SNMPTN 2011 will be different from learning to win an Olympic mathematics.
UN Mathematics, SPMB, SNMPTN only apply multiple choice questions. The implication you are only judged by your final answer. The process you find the answers is not important. So you must choose the strategy that quickly and accurately.
Use a variety of fast formulas in mathematics. Quick powerful formula you use for the UN, SPMB, SNMPTN. But a quick mathematical formulas would not be useful for future Olympic or college calculus in college. You should be aware of it.
Examples of rapid mathematical formula that is often (almost always) is useful when the UN, SPMB, SNMPTN is a formula of arithmetic series.
Example question:
The number of first n terms of a series is Sn = 3n ^ 2 + n. So the tribe to the 11th of the series is ...
Certainly there are many ways to solve this problem.
The first way, determine a formula used to calculate U11 Un later. This method is quite long. However good you are trying to improve their skills and understanding of the concept of the 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 are not asked these formulas. We directly calculate the U11 by calculating the difference
S11 - S10 = U11
[3 (11 ^ 2) + 11] - [3 (10 ^ 2) + 10]
= 3121-3100 + 11-10
= 3.21 + 1
= 64
The third way, is the mathematical formula of the fastest of the two formulas above. But before applying the third way, we must understand the concept well in advance.
Are you ready?
Standard form of the first n terms of arithmetic series is
Sn = (b / 2) n ^ 2 + k.n
Un = b (n-1) + a
a = S1 = U1
You have to understand the concept of the above well. Try some different questions. Without a good understanding of concepts, this quick formula will change to the formula weight.
By just looking at a matter of (not counting the paper) that
Sn = 3n ^ 2 + n
We obtain
b = 6 (from 3 x 2)
a = 4 (from S1 = 3 + 1)
U11 = 6.10 + 4 = 64 (Completed)
All the above calculations we can do without the use of stationery. All we do is only in our imagination. Repeat several times. You will definitely master it well.
The trick to quickly master the mathematical formula is also mastered the standard formula - the formula used to. By mastering these two ways you will be more skilled at using mathematical formulas faster.
How do you think?
Warmest regards .... Good luck!
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