First off I'd like to say that my initial comment was a blatant misreading of what was initially said. I read that the temperature outside was 10 degrees, and of course water can still be liquid when it's 10 degrees out and even much colder.
I understand exactly what RT is getting at. Pure water, technically, can't get colder than 32 degrees in its' liquid form. It turns into ice at that point. Even if its' highly unpure, the freezing point isn't altered that much.
But the real question here, and one that I honestly don't know the answer to and can't find an answer to, is what temperature water turns to ice provided its' being violently disturbed every couple of minutes. I've seen waterfalls freeze, so it's possible for rapid moving water to freeze, but there's a significant difference between moving water and a violent disruption of the water's surface by jumping in it.
Basically, what would happen if you put a bowl of water into your freezer and repeatedly dropped something heavy into it? Would the temperature of the water approach 0 degrees without freezing? Or, would the repeated violent motion of the water create enough molecular friction that the reason it doesn't freeze is because it doesn't actually get that cold?