When a question comes to my mind what will be my method?

Have you ever thought about the what science is? 

Science can be described as a body of knowledge. Neither knowledge nor science aren’t cumulative. Making connections of sensory emotions of our motor skills and among information that we connect by observing and expressing are called scientific method. To be able to apply our scientific method we need to first have some topics to ask “why” to dig something in details is named scientific question. Therefore, this scientific question should include answers of “when, where, who, what” questions. 

Also, scientific methods should be public, open to the questioning, open to change, repeatable and understandable to ensure that everybody can investigate it deeply according to their interests, the need of society or world. In the history of mathematical education, we can see that there were some changes according to some researchable areas.  

For example, Hilbert said that everything can explain in mathematics which is called completeness. On the other hand, Bertrand Russell sent a letter to Hilbert. In this letter there is a question which is “Does the set of all sets that do not contain itself contain itself?”. After this question this researchable are started to open to change by making incompleteness of invalid and renamed it incompleteness.