INTRODUCTION
I just finished reading "How to solve it by G. Poyla."
What I learned.
SCHEMA 1:
Analysis or reflection.
When presented with a math problem, do first an analysis of the whole problem. Figure out how you are going to solve the problem. You can work forward or backward. If you work forward you will be working from the data to the unknown. If you are going to work backward you are going to work from the unknown to the data. Sometimes you can work forward and backwards at the same time.
After you have reflected on all you know and can do from your analysis, including doing a little research and had decided on some plan of attack. Your analysis is complete. Once you'd decided what you are going to try---use a formula, draw a table, make a drawing, do some computation, solve an equation, work forward, work backward, etc. Now you are ready to move into action and actually solve the problem--on paper.
SCHEMA 2
Synthesis or action:
Use a pencil and paper and carry out your plan to find the answer to your problem. After finding the answer you are ready to move to further reflection.
SCHEMA 3
Evaluation or further reflection.
Here you must restate how you solved the problem and whether or not you can now solve the problem in a different way.
CONCLUSION
Doing the Analysis, Synthesis and Evaluation, completes the circle, that is, completes the whole enchilada.
I just finished reading "How to solve it by G. Poyla."
What I learned.
SCHEMA 1:
Analysis or reflection.
When presented with a math problem, do first an analysis of the whole problem. Figure out how you are going to solve the problem. You can work forward or backward. If you work forward you will be working from the data to the unknown. If you are going to work backward you are going to work from the unknown to the data. Sometimes you can work forward and backwards at the same time.
After you have reflected on all you know and can do from your analysis, including doing a little research and had decided on some plan of attack. Your analysis is complete. Once you'd decided what you are going to try---use a formula, draw a table, make a drawing, do some computation, solve an equation, work forward, work backward, etc. Now you are ready to move into action and actually solve the problem--on paper.
SCHEMA 2
Synthesis or action:
Use a pencil and paper and carry out your plan to find the answer to your problem. After finding the answer you are ready to move to further reflection.
SCHEMA 3
Evaluation or further reflection.
Here you must restate how you solved the problem and whether or not you can now solve the problem in a different way.
CONCLUSION
Doing the Analysis, Synthesis and Evaluation, completes the circle, that is, completes the whole enchilada.
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