When you have a solid, the particles are moving but they're vibrating. They're touching each other, moving but they're only vibrating. They're almost immovable so when something is a solid, the atoms and molecules are vibrating but they look like they aren't moving.
For a liquid, the atoms and molecules are moving enough to slide against each other. The speed at which they slide will determine the temperature.
For a gas, there is lots of movement and they're spread out.