Mathematics Thinking and Scientific Work
Pure mathematics is about formal mathematics. There is thinking about axiomatic. From the pure mathematics, the definition of mathematics are about deductive method, concept, theorem, axiomatic, and approve.
The object of mathematics is your idea in your mind. It can not be manipulated. From the object of mathematics, there is turn up meta mathematics. Meta mathematics is thinking about mathematics.
There are two ways to get mathematics object from the konkret object :
1. Idealisation :
Asumtion that the object is perfect. In mathematics, we must asumted that the object of mathematics is perfect.
Example : We asumted that the plate is absolutely plain. The real, there is no something perfect in the world. The absolutely perfect just god.
2. Abstraction :
Abstraction is just learn some characteristic that we need from the object.
Example : There are much characteristic from the paper, but in mathematics we just learn about the shape and the size.
Mathematics thinking are about :
1. Consistence
If we find the wrong from the solve of the problem, the solve can not be applied.
2. Logic
Logic is begin from the daily life
3. Order
4. Relationship
5. Mathematics operation :
Example : Addition, substraction, multiplication, division, root, etc.
6. If than statement
7. How to get conclusion
8. Thesis, antithesis, hypothesis
Thesis : sentences that show the true statement
Antithesis : statement that contradiction with thesis
Hypothesis : the temporary thesis
Scientific Work
The characteristic of scientific work are :
1. Impersonal :
Doesn’t related with personal problem
2. Have a standard or criteria : ethical code, write condition
The example of scientific work are : report, proposal, text book, paper
The content of scientific paper are :
• Abstract
• Discussion
• Conclution/recommendation
• Reference
• Introduction
Senin, 27 April 2009
Kamis, 09 April 2009
Reflection of Video
Reflection of Video
Video 1 : Dead Poets Society
If you look something, you must think from the different way. From this, you can find the solution about your problem. The change is you. You can choose your way and your think. You can choose what you want and how to get it.
Video 2 : Believed
We must believe in our self. We must believe that we can do anything, dream anything and get anything. We can get what we want if we believe in our self. Believe is very important in our life. From that, we can get motivation to do anything and power to do it.
Video 3 :
What you know about math?
Math is about significant figure. The examples are trigonometry, exponent, geometry, algebra etc. math is also about equation like plus, minus, over and times.
Video 4 : Types Differential Equation
To solve differential equation is like integrate in calculus.
To find y = f(x)
We must usually get dependent y
Video 5 :
1. x – 5 = 3
To solve this problem, we can plus x – 5 with 5 and plus 3 with 5 too. So we can get that x is 3 plus 5 equals 8.
2. 7 = 4a – 1
To solve this problem, we can plus 7 with 1 and plus 4a – 1 with 1 too. From this, we can get that 4a equals 8. To get the value of a, we can times 4a with 1/4 and times 8 with 1/4 too. So, we can get that the value of a is 2.
3. 2/3x = 8
To solve this problem, we can times 2/3 x with 3/2 and times 8 with 3/2 too. From this, we can find that the value of x is 8 times 3/2 equals 12.
4. 5 – 2x = 3x + 1
To solve this problem, we must eliminate 3x. To do that, we can plus 3x + 1 with -3x and plus 5 – 2x with 3x too. We can get that 5 – 5x = 1. After this, we eliminate 5. To do that, we can plus 5 – 5x with -5 and plus 1 with -5 too. We can get that -5x = -4. To get the value of x, we can over -4 with -5. So, we can find that the value of x is 4/5.
5. 3 – 5(2m – 5) = 2
To solve this problem, we must times 5(2m – 5) first. From this we can get that
3 – 10m + 25 = -2
-10m + 28 =
-10m = -30
To get the value of m, we can over -30 with -10. So we can get that the value of m is 3.
6x + 3 = 4x + 15
6x – 4x = 15
2x = 12
To get the value of x, we can over 12 with 2. So, we can get that the value of x is 6.
6. 0,35x – 0,7 = 0,15x + 0,1
To solve this question, we must times 0,35x – 0,7 with 100 and times 0,15x + 0,1 with 100 too. We can get
35x – 70 = 15x + 10
35x – 15x = 10 + 70
20x = 80
To get the value of x, we can over 80 with 20. So, we can get that the value of x is 4.
Video 6 :
In video 6, there are a formula about logarithm and the law about log
• The formula is :
Based a log b equals c is a based c equals b
• The law about log are :
1. log A + log B = log (AB)
2. logA – log B = log (A/B)
Video 1 : Dead Poets Society
If you look something, you must think from the different way. From this, you can find the solution about your problem. The change is you. You can choose your way and your think. You can choose what you want and how to get it.
Video 2 : Believed
We must believe in our self. We must believe that we can do anything, dream anything and get anything. We can get what we want if we believe in our self. Believe is very important in our life. From that, we can get motivation to do anything and power to do it.
Video 3 :
What you know about math?
Math is about significant figure. The examples are trigonometry, exponent, geometry, algebra etc. math is also about equation like plus, minus, over and times.
Video 4 : Types Differential Equation
To solve differential equation is like integrate in calculus.
To find y = f(x)
We must usually get dependent y
Video 5 :
1. x – 5 = 3
To solve this problem, we can plus x – 5 with 5 and plus 3 with 5 too. So we can get that x is 3 plus 5 equals 8.
2. 7 = 4a – 1
To solve this problem, we can plus 7 with 1 and plus 4a – 1 with 1 too. From this, we can get that 4a equals 8. To get the value of a, we can times 4a with 1/4 and times 8 with 1/4 too. So, we can get that the value of a is 2.
3. 2/3x = 8
To solve this problem, we can times 2/3 x with 3/2 and times 8 with 3/2 too. From this, we can find that the value of x is 8 times 3/2 equals 12.
4. 5 – 2x = 3x + 1
To solve this problem, we must eliminate 3x. To do that, we can plus 3x + 1 with -3x and plus 5 – 2x with 3x too. We can get that 5 – 5x = 1. After this, we eliminate 5. To do that, we can plus 5 – 5x with -5 and plus 1 with -5 too. We can get that -5x = -4. To get the value of x, we can over -4 with -5. So, we can find that the value of x is 4/5.
5. 3 – 5(2m – 5) = 2
To solve this problem, we must times 5(2m – 5) first. From this we can get that
3 – 10m + 25 = -2
-10m + 28 =
-10m = -30
To get the value of m, we can over -30 with -10. So we can get that the value of m is 3.
6x + 3 = 4x + 15
6x – 4x = 15
2x = 12
To get the value of x, we can over 12 with 2. So, we can get that the value of x is 6.
6. 0,35x – 0,7 = 0,15x + 0,1
To solve this question, we must times 0,35x – 0,7 with 100 and times 0,15x + 0,1 with 100 too. We can get
35x – 70 = 15x + 10
35x – 15x = 10 + 70
20x = 80
To get the value of x, we can over 80 with 20. So, we can get that the value of x is 4.
Video 6 :
In video 6, there are a formula about logarithm and the law about log
• The formula is :
Based a log b equals c is a based c equals b
• The law about log are :
1. log A + log B = log (AB)
2. logA – log B = log (A/B)
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