Hit the "PLAY" button on your home screen to access the exploration map. Select the next available stage to show some wild Dragons who is in command.
Try to create gem combinations of at least three equal stones in a row by swapping their positions on the grid. Special gems will help you clearing many gems at once.
Keep an eye on the spirit bars of your Dragons. They will charge as you use corresponding gems. Once fully charged, unleash their special attack. If you want to target a specific opponent, tap on the rival Dragon before using the special ability of your Dragons.