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)
Selasa, 17 Maret 2009
My reflection in Learning English
My Reflection in Learning English
In 12 March 2009, Mathematic Education in Yogyakarta State University has reflection in learning English. Reflection was like a test. My lecture, Mr. Marsigit gave us 50 questions about vocabulary in English. The vocabulary was about mathematic. We were very confused because we didn’t know if that day Mr. Marsigit would give us a test.
Mr. Marsigit gave us 1 hour to did the test. After we done the test, Mr. Marsigit instructed us to changed the answer with other friends to checked the answer. After that, Mr. Marsigit instructed us to report the mark of this test to him. I was very sad because my mark was very bad. From 50 questions the false are 37 and the true just 13. My friends were also had a bad mark. Mr. Marsigit also sad because our bad values.
Mr. Marsigit instructed us to improve our competent in learning English. He said that to improve our competent, we must read, read, and read to get much knowledge. If we just study in class it didn’t enough to learned English. We must learned alone to get knowledge about English. We could access internet, and bought TOEFL CD to improve our competent in English.
Although I couldn’t speak English well, I promised to repair it. Mr. Marsigit gave us motivation to study English. He said that we must enjoyed and happy to learned and talk in English. If we scared before, we’ll not able in English. We didn’t have to be afraid to made some mistakes in our speech.
We must convidence to spoke English because English was international language in the world. We didn’t afraid to try spoke in English. We could try speak English in the daily life like in our family, friends and community.
English was important in our life moreover in this global area. Much school in Indonesia opened the International school. The learning in that school use bilingual language. Because of that, we from Mathematic Education in Yogyakarta States University must can speak English to be a good teacher in International school.
In 12 March 2009, Mathematic Education in Yogyakarta State University has reflection in learning English. Reflection was like a test. My lecture, Mr. Marsigit gave us 50 questions about vocabulary in English. The vocabulary was about mathematic. We were very confused because we didn’t know if that day Mr. Marsigit would give us a test.
Mr. Marsigit gave us 1 hour to did the test. After we done the test, Mr. Marsigit instructed us to changed the answer with other friends to checked the answer. After that, Mr. Marsigit instructed us to report the mark of this test to him. I was very sad because my mark was very bad. From 50 questions the false are 37 and the true just 13. My friends were also had a bad mark. Mr. Marsigit also sad because our bad values.
Mr. Marsigit instructed us to improve our competent in learning English. He said that to improve our competent, we must read, read, and read to get much knowledge. If we just study in class it didn’t enough to learned English. We must learned alone to get knowledge about English. We could access internet, and bought TOEFL CD to improve our competent in English.
Although I couldn’t speak English well, I promised to repair it. Mr. Marsigit gave us motivation to study English. He said that we must enjoyed and happy to learned and talk in English. If we scared before, we’ll not able in English. We didn’t have to be afraid to made some mistakes in our speech.
We must convidence to spoke English because English was international language in the world. We didn’t afraid to try spoke in English. We could try speak English in the daily life like in our family, friends and community.
English was important in our life moreover in this global area. Much school in Indonesia opened the International school. The learning in that school use bilingual language. Because of that, we from Mathematic Education in Yogyakarta States University must can speak English to be a good teacher in International school.
Selasa, 10 Maret 2009
The Meaning of Mathematic
The Meaning of Mathematic
Mathematic has a lot of definition. The definition of mathematic in junior high school, senior high school, and in the university is different. Mathematic in university is pure mathematic. Mathematic in the university is pure mathematic and applied mathematic. There are two object in mathematic:
1. Abstraction
Abstraction is different with abstract.
Abstract is not real, we can’t touch but we can think that.
Abstraction in mathematic just about value.
Example : 5<6,>4
2. Idealisation
There is no real in the world. The real is in your mind (assumption)
The characteristic of mathematic is logic and consistent.
Profesor Kayestesi from Melbourne University said that the characteristic of mathematic are:
1. conjecture : can to predicate
2. convince : certain, sure
Mathematic consist of 3 aspects these are:
1. Mathematical attitude
2. Mathematical method
3. Mathematical content
Good attitude in mathematic is always have a question, consistent, and critically.
Mathematical method is how to learn mathematic
Example :
• Deduction : from general to specific
• Induction : from specific to general
• Syllogism : withdrawal of conclusion pursuant to premis
• Logical method : mathematical sentences like conjunction ,if that statement
• How to prove : direct, indirect
• Incomplete induction
Content is the object of mathematic
The definition of mathematic from realistic
1. horizontal mathematic : daily mathematic (the object is real)
2. vertical mathematic : abstract mathematic (university mathematic)
Mathematic has a lot of definition. The definition of mathematic in junior high school, senior high school, and in the university is different. Mathematic in university is pure mathematic. Mathematic in the university is pure mathematic and applied mathematic. There are two object in mathematic:
1. Abstraction
Abstraction is different with abstract.
Abstract is not real, we can’t touch but we can think that.
Abstraction in mathematic just about value.
Example : 5<6,>4
2. Idealisation
There is no real in the world. The real is in your mind (assumption)
The characteristic of mathematic is logic and consistent.
Profesor Kayestesi from Melbourne University said that the characteristic of mathematic are:
1. conjecture : can to predicate
2. convince : certain, sure
Mathematic consist of 3 aspects these are:
1. Mathematical attitude
2. Mathematical method
3. Mathematical content
Good attitude in mathematic is always have a question, consistent, and critically.
Mathematical method is how to learn mathematic
Example :
• Deduction : from general to specific
• Induction : from specific to general
• Syllogism : withdrawal of conclusion pursuant to premis
• Logical method : mathematical sentences like conjunction ,if that statement
• How to prove : direct, indirect
• Incomplete induction
Content is the object of mathematic
The definition of mathematic from realistic
1. horizontal mathematic : daily mathematic (the object is real)
2. vertical mathematic : abstract mathematic (university mathematic)
Rabu, 04 Maret 2009
An Introduction to English II
An Introduction to English II
English is important language. English is the international language in the world. We must talk in English to communicate with other people in the world. So we must study English hard if we will communicate in the global area.
In the mathematics and science faculty of the Yogyakarta state University especially in mathematic education there is English lesson to study English. The name of the lesson is English II. My lecture in English II is Mr Marsigit. He ask his student to make blog in English. He said that the most important in the blog we don’t make any plagiatism because plagiatism is a criminal. He also ask us to be follower in Mr.Marsigit’s blog. In the Mr.Marsigit blog,there is mathematic reference and elegy.
Mr Marsigit also said that there are some precondition in English II:
1. Motivation
What is it? Motivation is high spirit to learn. It is also enjoy and happiness. Enjoy to talk in English with other people and happiness to do it. We don’t afraid if we do any mistake. The most important,we must brave to start it. We can begin it with talking English in our community like family and friend.
2. Attitude/behavior
What is the important think? Awarness is the first knowledge. Awarness in the position and what we want in our life. If we have awareness,we can chose the step to get what we want.
3. Understanding
Understanding is know if we are student that we must have responsibility and commitment especially to study English.
4. Skill
In this step,we must do it develop our skill as active learner. The lecture just only give 15% knowledge to support our skill and 85% is from ourself (praying,study etc)
5. Experience
We make experiences as many as we can. We can get experience from talking,hearing,writing,understanding and translating. We can learn every thing from our experience or from another experience.
English is important language. English is the international language in the world. We must talk in English to communicate with other people in the world. So we must study English hard if we will communicate in the global area.
In the mathematics and science faculty of the Yogyakarta state University especially in mathematic education there is English lesson to study English. The name of the lesson is English II. My lecture in English II is Mr Marsigit. He ask his student to make blog in English. He said that the most important in the blog we don’t make any plagiatism because plagiatism is a criminal. He also ask us to be follower in Mr.Marsigit’s blog. In the Mr.Marsigit blog,there is mathematic reference and elegy.
Mr Marsigit also said that there are some precondition in English II:
1. Motivation
What is it? Motivation is high spirit to learn. It is also enjoy and happiness. Enjoy to talk in English with other people and happiness to do it. We don’t afraid if we do any mistake. The most important,we must brave to start it. We can begin it with talking English in our community like family and friend.
2. Attitude/behavior
What is the important think? Awarness is the first knowledge. Awarness in the position and what we want in our life. If we have awareness,we can chose the step to get what we want.
3. Understanding
Understanding is know if we are student that we must have responsibility and commitment especially to study English.
4. Skill
In this step,we must do it develop our skill as active learner. The lecture just only give 15% knowledge to support our skill and 85% is from ourself (praying,study etc)
5. Experience
We make experiences as many as we can. We can get experience from talking,hearing,writing,understanding and translating. We can learn every thing from our experience or from another experience.
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