Mathematical Thinking and Scientific Work

Last week on April 23rd,2009 Mr.Marsigit told about mathematical thinking and scientific work in my class. Different mathematician has different definition about science. There is said that science is mathematical thinking, but there is said that science is establish with deductive method contain concept, definition, theorem, axiom, etc. Pure mathematics has characteristic more formal that mathematics is axiomatic mathematics. Before we describe about mathematics, we need strengthen object mathematics. What is mathematical object? Mathematical object is our mind; mathematical object is our idea and abstract and it doesn’t concrete object so we can’t manipulation using our sensory tool. And now, how we get mathematical object? We can get mathematical object from everything being our around.
There are two wise to get mathematical object:
1. We use abstraction
What is abstraction? Abstraction is looking for similarity to get form or simple characteristics to be object of mathematics. For example: “What do you think about the number five?” Every students giving various answer but in English class, the lecture and the students have similar characteristics so they discus about the value of number five. Why? Because this very minute, the lecture explain about English for mathematics so it is abstraction because we just learn several characteristic which we really dispersed.
2. We use idealization
“And what is idealization?” Idealization is straight or don’t taper because straight just for SIROTOL MUSTAQIM. For example, we have plan so it doesn’t really flat because absolutely right just Allah SWT, one other the teacher make question to their student don’t direct so the students must try to solve this problem and then it is called idealization.
And know, what is the characteristic of mathematical thinking? Mathematical thinking has many characteristics among others:
a. Consistent, it means that mathematical thinking must accord with the first requirement. For example we said A so can permanent A.
b. Mathematical logic, it blankets daily logic and formal logic. In mathematical logic contain ma thematic operation, if then statement, relation, etc.
c. There are thesis and antithesis. Thesis is sentence contain rightness but antithesis is opposite from thesis. So, before thesis and antithesis we need write hypothesis which temporary presumption.
Scientific work has standard or criteria inside writing them. Many people do some research or experiment to can write scientific work. A book about Mathematics for Senior High School include inside scientific work. It has systematical among others:
1. Introduction
Introduction contain about background why we write scientific work. Inside it, we can also give some problems to get solution.
2. Discussion
In discussion we said about problems and the solution it. In there, we take in some theory and material others which support it.
3. Conclusion
In this part, we must resume about problem solving in discussion part. We also give recommendation about problems above.
4. Reference
We can get reference from whatever such the books in library, dictionary, internet, etc. References create as source in our scientific work.

If we will write scientific work so we must to know about ethical code scientific work such:
a. Impersonal
It means we forbid to put emotional unsure. For example, we write book about Mathematical for Senior High School and in end page, we write “good luck and success” so we admit personal unsure inside it.
b. Has standard or criteria
It means if we write scientific work must know how arrangement writing, contain inside it is whatever.
c. Objective
Objective has means that suit with topic, so it doesn’t subjective. We write suit our material and it must coherent.