Place beef, carrots, tomato paste, wine and garlic in a slow cooker or oven proof dish. No need to peel the garlic, just break into individual cloves.
For the slow cooker, cover and cook on auto for 11-12 hours or until the beef is meltingly tender
For the oven, add in an extra cup of wine, cover and bake at 120C (25F) for 6-8 hours or until the beef is meltingly tender. Add in a little water if it starts to dry out.