Onmatu- General Math Learning Article

Solving a math problem


        1.Familiarizing with the problem.

        From where to start? Start with the statement of the problem.
        What can I do? Consider the problem in its whole,
clear and real as much as you can. For the moment, do not take in consideration the details.
        What can I gain by doing it so? You need to understand the problem, to familiarize with it, to print your goal in your mind. The attention you give to the problem will contribute also to stimulate your memory and prepare you to remind the relevant points.

        2.The work for a better understanding.

        From where to start? Start again from the statement of the problem. Go ahead only when this statement it's so clear and so well printed in your mind so that there is no need for you to look at the problem for a moment, without the fear that you will lose sight the general structure of the problem.
        What can I do? Isolate the main parts of the problem. The
hypothesis and the conclusion are the main parts of a "problem to demonstrate"; the unknown, the data and the conditions are the main parts of a "problem to find". Cover all the main parts of the problem, examine them one by one, reexamine them, consider them in different combinations, relating every detail with the other details and every one of them with the general view of the problem.
       
What can I gain by doing it so? You will prepare and clarify the details which can play an important role later.

        3.Finding the useful idea

        From where to start? Start by considering the main parts of the problem. Go ahead only after these main parts of the problem were ordered distinctly and clearly understood, due to the preparatory work, and also when the memory seems to work
faithfully.
        What can I do? Consider the problem under different aspects and look for contacts, relations with the things you already know. Consider
the problem under different aspects, accentuate the different parts, examine the different details, reexamine them many times on different ways, combine the details in different modes, address them on different paths. Try to find a new meaning in every detail, a new interpretation of the general view of the problem.
       
Find connections with what you already know before. Try to think about what has been useful to you in similar situations from the past. Try to recognize something familiar in what you are examining now, try to catch something useful in what you have recognized.
       
What I could glimpse in the problem? A saving idea, maybe the decisive idea which can suddenly show you the path to the goal.
        How can an idea be useful? It shows you the entire road or a part of it; It suggests more or less clear how can you proceed. The ideas are more or less complete. In general, if you have a new idea, means that you had luck.
        In the upcoming next article we will talk about the ways we can use an incomplete idea and how to make the plan and have a
retrospective look on the problem. Thank you. 
Back To Articles