MATH PROBLEM SOLVING

SOLVING A PROBLEM OR PROBLEM SOLVING IN MATHEMATICS

            I have a problem, I want to solve it. Say the problem is - Who Shaves the Barber? To solve this, do I need mathematics? The answer is No. I just need to ask the barber and the problem will be solved. Lets take another example. I want to go on a vacation for 5 days. For that I have to take a leave, select a place for vacation, check how much money is required, check booking dates with hotel, decide mode of transport and make a time-plan of visits to different places during vacation. Now the question arises, "Do I need mathematics?" The answer is Yes. Money required, dates, distance to travel and time-plan need mathematics. This is the real life example of problem-solving in mathematics. For this you have to think, plan, reason out, apply logic and solve the problem systematically.   
          Writing solution and finding solution are two different scenarios. Writing a solution means solving a problem without thinking e.g. asking Barber who shaves his beard. On the other hand finding solution means problem solving e.g. planning a vacation.

Four step problem solving in mathematics by Polya

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