Mathematical approach for daily
problem
2006.08.31 07:36 | Reference
In mathematics, solving problem become
easier if one follows a certain strategy. George Pólya showed
such general strategy in his book “How to Solve It”.
His strategy is especially useful when one must solve a problem which answer is unknown yet. It is like a compass in a deep dark forest.
Although his strategy is originally for mathematical problem, it can be applied for problems in our daily life. Because we sometimes don't know exact answer. In his strategy, following points are quite useful.
His strategy is especially useful when one must solve a problem which answer is unknown yet. It is like a compass in a deep dark forest.
Although his strategy is originally for mathematical problem, it can be applied for problems in our daily life. Because we sometimes don't know exact answer. In his strategy, following points are quite useful.
- Understand the problem : Ask yourself 'What are the unknowns?
What are the given quantities? What are the given
conditions?'
- Draw a diagram : Picture, graph, mind map. Understand the
problem visually.
- Find similar problem : You may experience similar problem
before. Most of time you don't need to start from zero.
- Solve related problem : If you can't solve the problem, try to
solve related problem.
- Verify your answer : To increase reliability of your answer.
Especially important when you don't know exact answer.
ref : G. Polya and “How to Solve It!" (PDF file at Ohio State University)
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