Tavel, I agree that this is bad scientific method, but not for the reasons that you stated. All thirty cups are under the same conditions, so you would be learning something. The
conclusion that they came to would not necessarily be correct, but that's not an issue of the scientific method, that's an issue of the theory. (What I'm getting at is that the experiment was more about how a
sudden drop in temp affected
goldfish's respiration, it's just that the teacher didn't realize this and didn't explain it)
The bad scientific method is what Susitna said early on in the discussion. In those little cups, there's very little oxygen, which will affect respiration severely. By the second day, it will be even worse, as waste products begin affecting the water's oxygen capacity.
That being said, the experiment itself is a disgrace. Good or bad scientific method matters little to me in the face of bad scientific ethics.
And it's not that the experiment couldn't be done ethically. The teacher has an excellent point. Carp (goldfish's "parents" for lack of a better term) naturally live in water that ranges to near-freezing. Goldfish can live and thrive in ponds that nearly completely freeze over. Their bodies are built to handle this. As has been said, it's the speed of the change that's harmful.
Set up a tank in the classroom and heat the tank to a tropical temp (around 80 would be good). Have the kids take readings in little groups while having other stuff around the classroom to further their study. This part of the experiment lasts for the two days (as the classes are every other day).
For the next two classes, pull the heater out of the tank (not ideal, but a far cry better than dropping ice cubes in a cup). Repeat having the kids take their readings. Even better would be if the instructor could afford an aquarium
chiller in order to drop the temp even more.
Depending on the level of the class, you could also get the equipment to measure dissolved oxygen and discuss how much of the slowed breathing is due to slow body process and how much is due to more oxygen in the water (requiring less rapid breath)
This method would also leave the classroom with one goldfish to tend after the experiment. Far easier to do than thirty.