Is it normal that cold things make my hands hot?

They have a really cool display setup at the Ontario science center regarding this. They use the same theories but with a radiator like tubes. When you lay your hand across many bars it feels like you've just touched a stove but when u feel each bar individually it's a mix between refrigerator and room temperatures. Really neat stuff.

Fun fact!

Some people, during severe hypothermia, undress themselves. For some reason, people with hypothermia can feel abnormally very hot.

So... it sounds pretty normal that your hands would feel hot after touching something cold. I'm not saying that you have hypothermia, but clearly low temperatures can sometimes confuse the body... perhaps even just parts of it like when your hands touch something very cold.

Snowballs do it to me too. I can sense that my hands are cold but it burns. I think it's the pain that makes it burn. To have your hands so cold is harmful to your body so the body sends out a pain signal.

Just a guess though, didn't know exactly how I was going to explain it when I started writing, lol

Absolutely normal. Strictly there's no such thing as temperature (don't ask, you'll get a full essay off me). It's more a contrast between the heat of things.

A good experiment to prove this is to have three bowls of water. One with iced water, one room temperature, and one as warm as you can cope with. Put one hand in the ice water, one in the hot water and hold them there for a minute.

Now put both hands in the room temperature water. The hand from the ice water will be much hotter than the hand that's been in the hot water, although thermometers will say it's actually significantly colder. The way the body feels temperature is by contrast, so it's not that things are hot or cold, it's that they're hotter or colder, regardless of what the baseline temperature was.