a programmer, noun, one who programs
program, noun, is a collection of instructions that can be executed to perform a specific task
to program, verb
programming, verb
When a person says they want to program their Arduino. we don't correct them and say, no, what your really mean is that you want to press the keys on the keyboard in a sequence as to have the interpeter in your PC accept the signals from the key press and then have representations of the button presses form words in to a piece of software such as a 'word handling program' and then later when you want, have the computer complie those words and transfer them to the Arduino.
We know what they mean.