paraphrase a paper
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Montazar Almashama
George Polya’s Problem outline in 1945 four steps of problem Solving that needs to be followed; to solve any mathematical problem. These are
UNDERSTANDING THE PROBLEM
What are our findings, what is unknown value, what information is present what is missing, from
where we can get more information ect.
DEVISING A PLAN
The following list of strategies, although not extensive, is very useful.
Make a table, diagram, equation. Or Use guess and check to solve the problem.
CARRYING OUT THE PLAN
Implement step 2, and perform any necessary calculations.
LOOKING BACK
Input solution and check whether it make sense make sense or it is reasonable.
2. DEVISING A PLAN
The following list of strategies, although not exhaustive, is very useful.
Under this project, we will understand problem solving by Sudoku puzzle. For the purpose of solving problem first we need to check the information available is sufficient or we need more information to complete out task. So in Sudoku puzzle, we already have sufficient information but still more information is required.
Now at second step needed to assign plan to tackle the problem. To solve the problem possible strategies can be used. For example, For Sudoku puzzle answer, trial and error method can be used, look for a possible pattern, solve a simpler problem then tackle the puzzle or use variables.
After finding the way to solve out Sudoku puzzle, we need to implement the plan. If the plan fails, and have not provide the answer then we need to g back and try to find another way to solve the matter. In 70% cases, the first approach doesn’t really work; in that process of failing you actually accomplish something because it leads you to success by elimination.
Finally, so need back and ask whether we have answered the question? Is result will reasonable? Is that possible to find some other way to solve the problem easy then this? If the Sudoku is fully filled solved, then we can say that we have solved the problem. If numbers in Sudoku are not contradicting, then the result is reasonable.