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Problem Solving George Polya

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					     Suggestions For
     Problem Solving
  (from Mathematician
  George Polya’s book:
“How To Solve It”, 1945)


      Mr. Dave Clausen
    La Cañada High School
                   How To Solve It

   George Polya has four steps for solving
    problems:
     –      1. Understand The Problem
     –      2. Devise A Plan
     –      3. Carry Out The Plan
     –      4. Look Back



5/30/2012                  Mr. Dave Clausen   2
            Understand The Problem

   Is it possible to do this?
   Can I verbalize what I need to do?




5/30/2012           Mr. Dave Clausen     3
               Devise A Plan
   Have I seen this before?
   Have I seen it in a slightly different form?
   Do I know a related problem?
   Here is a problem related to mine that is
    solved. Can I use it?
   Can I restate this problem?
   If I can’t solve this problem, can I first
    solve some related problem?
   Can I solve part of the problem?

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            Carry Out The Plan

   Carry out the plan, checking each step as
    you work to see if it makes sense.




5/30/2012            Mr. Dave Clausen           5
                 Look Back

   Is the result what I expected?
   Can I get this same result in a different
    way?
   Can I use this result in some other problem?
   Can I use my method in a different
    problem?


5/30/2012            Mr. Dave Clausen          6

				
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