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In which method in teaching Mathematics one proceeds from unknown to known?
1. Inductive
2. Deductive
3. Synthesis
4. Analysis

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Correct Answer - Option 4 : Analysis

Mathematics is the study of numbers, shape, quantity, and patterns. The nature of mathematics is logical and it relies on logic and connects learning with learners' day-to-day life.

  • Teaching methods of mathematics include problem-solving, lecture, inductive, deductive, analytic, synthetic, heuristic and discovery methods. Teacher adopts any method according to the needs and interests of students.

Analytic method:

  • In this method, we proceed from unknown to known.
  • We break up the unknown problem into simpler parts and then see how it can be recombined to find the solution. Therefore it is the process of unfolding the problem or conducting its operation to know its hidden aspects.
  • In this process, we start with what is to be found out and then think of further steps or possibilities that may connect the unknown with the known and find out the desired result.

Hence, it could be concluded that one proceeds from unknown to known in the use of the analytic method in teaching Mathematics.  ​​

Inductive Method:

  • The inductive approach is based on the process of induction. It is a method of constructing a formula with the help of a sufficient number of concrete examples. 
  • Induction means to provide a universal truth by showing, that if it is true for a particular case. It starts from examples and reaches towards generalizations.

Synthetic Method: 

  • The word “synthetic’ is derived from the word ‘synthesis which means to combine. 
  • In this method, we combine several facts, perform cer­tain mathematical operations, and arrive at the solution.

Deductive method:

  • In this method, we proceed from general to particular. It does not give any new knowledge.
  • It encourages dependence on other sources. A child gets ready-made information and makes use of it.

 

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