Methods Of Teaching Mathematics Pdf

In which method of teaching Mathematics, one proceeds from particular to general ?

This question was previously asked in

Official Paper 5: OTET 2017 Paper 2 (Mathematics & Science)

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Analysis
Synthesis
Inductive
Deductive

Answer (Detailed Solution Below)

Option 3 : Inductive

Mathematics is thestudy 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 method. Teacher adopts any method according to the needs and interests of students.

Important Points

Inductive Method:

Inductive approach is based on the process of induction. It is a method ofconstructing 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.
Example: Square of an odd number is odd and the square of an even number is even.
Inductive approach proceeds from-
- Particular to general
- Known to unknown
- Simple to complex
- Example to formula

Hence, it could be concluded that in inductive method of teaching Mathematics, one proceeds from particular to general .

Additional Information

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 withgeneral premises and through logical argument, comes to a specificconclusion.

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 basedproblem-solving approachesuse 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.