Mathematic Problem Solving Method

Solving problems is a practical art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice. . . . if you wish to learn swimming you have to go in the water, and if you wish to become a problem solver you have to solve problems.- Mathematical Discovery

George Polya was born and educated in Hungary. He was boen in 1887 and obtained his PhD in mathematics from Budapest. Polya taught in Brown, Smith and Stanford Universities in the United States as well as in Switzerland. Throughout his life, he received a number of awards in mathematics. He also lectured in practically every country around the world. He was a advocate for mathematics and encouraged the use of problem solving techniques in order for individuals to learn mathematics.

SEE , PLAN , DO , CHECK.

Step 1: Understand the Problem - (SEE)
Carefully read the problem. Decide what you are trying to do. Identify the important data.
Step 2: Devise a plan - (PLAN)
Gather together all available information. Consider some possible actions: look for a pattern; draw a sketch; make an organised list; simplify the problem; quess and check; make a table; write a number sentence; act out the problem; identify a sub-task; and check the validity of given information.
Step 3: Carry out the plan - (DO)
Implement a particular plan of attack. Revise and modify the plan as needed. Create a new plan if necessary.
Step 4: Check the answer - (CHECK)
Ensure you have used all the important information. Decide whether or not the answer makes sense. Check that all of the given conditions of the problem are met by the answer. Put your answer in a complete sentence.

Adapted from: http://www.mathgym.com.au/htdocs/polyab.htm

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