** Analysis of the problem**

**Preparing the mathematical problem**

The way you analyze a problem depends on the type of problem. If the
problem comes from the real world, you first need to set up mathematical
problem that represents it. The mathematical problem is called a mathematical model.

Even if the problem begins more mathematically, it may not be stated clearly
enough to solve. So your first job is often to *clarify the problem:*
make assumptions, eliminate ambiguities. Sometimes you don't notice
lack of clarity in the problem until after you've tried to solve it.

*Solving the problem*

Once the mathematical problem is clear, you want to solve it. To explore
and solve problem, you can draw on variety of
problem solving strategies.

**Writing up a solution**

When you think you've solved the problem, carefully write up a solution.
A *solution* is more than an answer; the solution includes a
justification for the answer. To help you write up a solution clearly, you
might pretend you're explaining the solution to someone in your position
before you solved the problem. From the solution your reader should be
able to tell:

- what the problem is (including the original as well as mathematical problem);
- what your answer is (including to the original as well as the mathematical problem);
- your justification for your answer.

Copyright © 1999-2000 SciMathMN