A quick overview of George PĆ³lyas How to Solve It.
Problem solving can be divided into four separate steps: *Understand the problem. Make a plan. Carry out the plan. Reflect on the solution.*

### Understand the problem

*What is the unknown? What are the data? What is the condition?*
Do you understand the problem? Restate it in your own words.
Can the condition be satisfied given the data? Introduce suitable notation. Draw a figure. Write it down.

### Make a plan

*Have you seen it before? Have you seen a related problem?*
Find a problem with a similar unknown. Divide the problem into simpler problems. Look at a more specialized problem or a more general.

### Carry out the plan

As you carry out the plan: *check each step!* Can you see that it is correct? Can you prove that it is correct?

### Reflect on the solution

When the solution is found: *check the result!* Check the solution. Can you derive the result differently?
Can you use the result for another problem?