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# Synthetic Method in mathematics

## 1.Introduction-

#### Synthetic Method in Mathematics

This method is opposite and complementary to the analytical method. The derivative of the proviso or the solution to a problem is presented by the analytical method. Most textbooks are written by the synthesis method. In this method, they move from known to unknown and arrive at conclusions based on inference. In the practice of geometry, based on the facts known by this method, one obtains an unknown conclusion.Based on estimation, it is proven by composing it in practice. The reason for the composition is not given in this method.
A = B (known) and B = S (known) so A = S
In this method, unknown facts or relationships are detected with the help of known things. In the analytical method, the process reverses. By this method, the solution of the problem or the proof and conclusion of the conclusion which is already known can be presented in a sequential manner. But unknown findings can not be known.Why is it necessary to explain why special types of compositions are required to prove the various theories in geometry books? Since they help in proving sages, they are considered suitable. Students have to cram them and once forgotten they are not possible to reconstruct by logic.

## 2. Features of Synthetic Method -

(1.) This method is simple, subtle and systematic. This is a useful method to present any mathematical solution in an organized way. This is the reason this method is used in textbooks.
(2.) The solution presented by this method is easily understood by the students because every term of the solution or the present presented by this method is based on known truths and principles. The student only has to memorize a particular composition or verse from which to find conclusions or sub-findings.
(3.) It is necessary to use the analytical method after the analytical method. This method is complementary to the analytical method.
(4.) The principle of 'moving from known to unknown' is psychological and convenient for students. The teacher's work has been simplified by this method.
(5.) This method is simpler than the analytical method and the method of solving or concluding does not occupy much space.

### 3. Limitations-

(1) No solution or problem can be solved by synthesis method. Analysis is required for the solution.
(2.) Synthetic method can only prove but cannot explain because by this method it cannot be known why a composition has been made or why a post has been added or subtracted or a particular reason has been selected. is.
(3.) This method cannot develop the reasoning power, decision power and thinking power of the students.Students remain inactive and they have to rotate many positions. If students forget something once, then it cannot be created again.
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(4.) The knowledge gained by this method is not discovered by the boys themselves. That's why he is not permanent Children depend on the teacher to understand everything without any help. The child cannot learn much material through his own efforts. It is a dull and inanimate method.

### 3.Suggestions to Teachers-

(1) Both methods should be used when reading different sub-topics of mathematics. Especially in proving the means of geometry or solving problems it is necessary to first analyze the various aspects of the problem or problem so that students can understand why a composition or a term is used and how we should make these conclusions Useful in getting
(2.) After analysis, material should be presented by synthesis method.
(3.) Keep in mind why? and how? The answers to the questions should be clear to the children through analytical method, which does not encourage the tendency to rote.
(4) It is a bitter truth that by applying analytical method it may take more time to explain to the teacher but it should not be considered a waste of time, but considered a useful requirement.
(5.) As far as possible, students should be given opportunities to find their own solution or to create sub-form so that their expected development is possible.
(6.) Such questions should be given place in examinations which test originality.
(7.) Textbooks are mostly written on synthetic methods. Therefore, teachers of mathematics are expected to overcome this deficiency by their own efforts. It is necessary to think in detail about the analytical side while preparing the lesson.