George Polya was a Hungarian mathematician who wrote extensively about problem solving. In his book "How to Solve It," he outlined a four-step process for solving mathematical problems:
Understand the problem: Read the problem carefully and try to understand what it is asking. Identify the unknown quantity and the information that is given.
Devise a plan: Choose a strategy for solving the problem and plan out the steps you will need to follow in order to carry out your plan.
Carry out the plan: Follow the steps of your plan, using careful reasoning and logic.
Check your solution: Make sure your solution is reasonable and makes sense. Check to see if you have answered the question that was asked and that your solution is expressed clearly and accurately.
Polya emphasized the importance of understanding the problem, choosing a suitable strategy, and checking your work in order to solve mathematical problems effectively.