Play minions and hit them. It tends to work quite well in Hearthstone. This style of deck does get inflated winrates early in expansions though. Started with Ornery Tortoise in the Bearshark spot but people are playing Odd Mage for some reason.
The Springpaw/Dire Mole/Razormaw/Candleshot package just takes board against the other aggressive decks, Hydra sticks 8 damage to the board against Dragon's Fury/Mage stuff. Rexxar and Highmane shit on other slow decks.