The best explanation is in the Help file.
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when you create a script (or button) and specify "perform script" there is a place to enter a value to be "passed along" with the call.
when you get to the called script, you can read the value with this function
Get ( ScriptParameter )
The value passed can be static (a constant value) or calculated (dynamically set). So you might have 3 buttons call the same script, but pass along different values in the Script Parameter. Your calling script would first test and then Branch (using If, Else If, Else) to do different actions with the value(s). Or the value is used in a calculation in the script.
p.s. you can find an example of Script Parameter here:
(scroll down to the "Perform Script and script parameter examples")