Correct Answer - Option 2 : induction
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 (induction), deductive, analytic, synthetic, heuristic and discovery method. Teacher adopts any method according to the needs and interests of students.
Induction Method:
Induction 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 reach towards generalizations.
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Example: Square of an odd number is odd and the square of an even number is even.
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Inductive approach proceeds from-
- Particular to general
- Known to unknown
- Simple to complex
- Example to formula
Hence, it could be concluded that the appropriate method for the establishment of the formulae in mathematics is induction method.
Deductive Method:
- The deductive method is based on deduction. At first, the rules are given and then students are asked to apply these rules to solve more problems.
- It begins with general premises and through logical argument, comes to a specific conclusion.
Analysis Method:
- It is a generic process combining the power of the Scientific Method with the use of a formal process to solve any type of problem.
- Analysis means breaking up into components. All scientifically based problem-solving approaches use the analytical method.
Synthesis 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.
