Mathematical Thinking and Scientific Works

What do you know about mathematical thinking and scientific work????

What do you know about scientific paper, mathematics research, electric jurnal, and arrange some books??

Right!!! They are the examples of scientific works. There are unlimited scientific works and there are some definitions in learning mathematics. School mathematics always explain to students that math is a such pattern, problem solving, investigation activity, and mathematics mean communication. In the other hand, pure math more formal and has characteristics. It’s has acsiomatics. According to the mathematicians the scient of acsiomatics thinking establish by deductive methode, consisting of concept,definition, theorem, acsioma, procedore to proof thorem. Math is a system. To establish mathematics system should has assumtion, usually can be a concept/definition. Mathematics has a grond, there are definition and acsiom.

Before define something we need to have a clear picture about the conceptÞobjectsÞideas (in our mind)Þfrom existance and the possibility.

Ideas appear in our mind spontantly. It’s abstract, can’t be touch, can’t be manipulated. Books is a sample of concrete object. It’s can be touch and can be bring.

To get mathematical thinking, we need idealisation and assumtion.

Idealisation; assumtion to get absolutely object.

Assumtion very important in mathematics.

Abstraction; just to observe a certain characteristics

Let we observe a paper. There are a lot of characteristics of paper. It’s fluent and etc. But in mathematics, we just observe the shape and the size.

Mathematical thinking always consistant, allowed the first rules to meet the procedure or the princip. Mathematical thinking also logic, it’s build up from daily logic and formal logic.

Let we observe the number of six and seven, it’s can differentciate, which is big and small. We get the value that six is less tahan seven. This sample talk about order and relationship. So, the nature of mathematics is relationship or join.

Math operation use operated like plus, minus, and etc. It’s used like at arithmatics operation, addition, substraction, division, power, exponent, multiplication, and etc.

The other form is, if…then…statement.

The sample of mathematics sentence is proposition. How to conclude?

premisÞthesisÞ antithesis (contradictory) and then hipethesis.

Scientific work have to impersonal. The second rule is has a standard/criteria. For example, reference: bibliography of scientific paper. It’s has to allowed etical code and free from plagiarisme.

So, let we start to be mathematical thinking and produce more scientific works….