I've looked around quite a bit trying to find where I originates from and haven't been able to find anything. As far as I can tell Ampere was using I during his experiments. I'm not sure about this but I think it was before Ohm's law.By lesliek:
To answer the ORIGINAL question that was posed, "what does the I stand for"...
The "I" in Ohms Law is derived from the German word "Intensitat" (the "a" in this word has a double oomlaut) which means INTENSITY. Which is typically used for the Amount of current (the amount of charge Q flowing per unit of time t)
i(t) = [dq(t)]/[dt]
So..tell your daughter and her teacher same. Ohm's work was originally published in "bavarian" that's "German" to the modernist.
Now you all know and/or remember...right?