What is Mathematical thinking?
Mathematical thinking is the way to think mathematically. Honestly, mathematics objects are in our mind and its characteristics are absolute.
How to think mathematically?
According to Mr. Marsigit, we must do two steps. A first step is idealization. We must think and assume that everything is the ‘same’ and ‘perfect’. For example, there is a basket ball (a ball which is usually use in playing basketball). For the real, the ball is not full circle in its shape. If we see it clearly and sharply (especially using microscope), we’ll find the roughness of this ball. So, the ball becomes not really ball and soft.
Secondly, we must do an abstraction. It is means that we must take a part of all the characteristics of the object we learn about. For example, the ball has many characteristics, it’s heavy, it’s hard, its shape is circle, etc. but in thinking mathematically, we don’t need all of that characteristics. We just need to take a part of them (for example the volume). So, we just concern and think to the volume of the ball. The objects in mathematical thinking are always consistence, logic and systematic.
While, the characteristics of scientific works are impersonal (objective, based on the truth) and also consider on the ethical code (the most important thing is free from plagiarism –said Mr. Marsigit-).
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