Four Principles
How to Solve It suggests the following steps when solving a mathematical problem:
- First, you have to understand the problem.
- After understanding, then make a plan.
- Carry out the plan.
- Look back on your work. How could it be better?
If this technique fails, Pólya advises: "If you can't solve a problem, then there is an easier problem you can solve: find it." Or: "If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?"
Read more about this topic: How To Solve It
Famous quotes containing the word principles:
“Unless democracy is to commit suicide by consenting to its own destruction, it will have to find some formidable answer to those who come to it saying: “I demand from you in the name of your principles the rights which I shall deny to you later in the name of my principles.””
—Walter Lippmann (1889–1974)
“Now there cannot be first principles for men, unless the Divinity has revealed them; all the rest—beginning, middle, and end—is nothing but dreams and smoke.”
—Michel de Montaigne (1533–1592)