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:
“The proposition that Muslims are welcome in Britain if, and only if, they stop behaving like Muslims is a doctrine which is incompatible with the principles that guide a free society.”
—Roy Hattersley (b. 1932)
“Amidst the downward tendency and proneness of things, when every voice is raised for a new road or another statute or a subscription of stock; for an improvement in dress, or in dentistry; for a new house or a larger business; for a political party, or the division of an estate;Mwill you not tolerate one or two solitary voices in the land, speaking for thoughts and principles not marketable or perishable?”
—Ralph Waldo Emerson (1803–1882)