Models are often used to think about processes that happen too slowly, too quickly, or on too small a scale to observe directly. They are also used for processes that are too vast, too complex, or too dangerous to study.
Learning Goal 2
Mathematical models can be displayed on a computer and then modified to see what happens.
Learning Goal 3
Different models can be used to represent the same thing. What model to use depends on its purpose.
Learning Goal 4
Simulations are often useful in modeling events and processes.
Learning Goal 5
The usefulness of a model depends on how closely its behavior matches key aspects of what is being modeled. The only way to determine the usefulness of a model is to compare its behavior to the behavior of the real-world object, event, or process being modeled.
Learning Goal 6
A model can sometimes be used to get ideas about how the thing being modeled actually works, but there is no guarantee that these ideas are correct if they are based on the model alone.