It proceeds from unknown to known. The word analysis means separating a thing into its component parts. Analysis of a mathematical problems means “breaking up” of the problem in hand so that it ultimately gets connected with something obvious or already known. It is a process of unfolding of the problem in order to know its hidden aspects.
In its original sense the verb “to analyze” means to loosen or separate things that are together. It is to start with what is to be found out. Then further steps and possibilities may connect the unknown with the known facts till the desired result is to be obtained.
Merits
1. It is a logical method. It leaves no doubts and convinces the learner.
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2. It facilitates understanding. It also strengthens the urge to discover facts.
3. The steps are developed in a general manner. No cramming of a fixed step and a set pattern in necessitated. Each step has its reason and justification.
4. In this method the student faces a number of questions and he provides suitable answers to them. Thus he tackles the problem confidently and intelligently. He comprehends the problem thoroughly and gains in learning.
Demerits
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As per the draw-backs of this Analytic Method, it is a lengthy one. It is difficult to acquire efficiency and speed in this method.
Of course, it may not be applicable equally for all topics. All the same, this method is indispensable in teaching of mathematics.