Hit Point Dice (or Hit Dice) are dice tied to your class and level that represent your physical resilience.
You have a number of Hit Point Dice equal to your character level, each die being the type shown in your class table.
During a Short Rest, you can spend one or more Hit Point Dice to regain Hit Points, rolling each die and adding your Constitution modifier per die.
You regain all expended Hit Point Dice when you finish a Long Rest, though you can't regain more than half your total number of Hit Point Dice this way (minimum of one).