The slow food movement has been around for several years now. The movement espouses the benefits of restoring the joy of food, family, and friends to long meals. In other words it replaces snacking with savoring.
Slow gaming, like slow food, is about how you interact with others, how the game changes your interactions with the world, and with one another. Traditional gaming focuses on point acquisition, goal achievement, and completion. These are important in slow gaming, but not the ultimate goal. The ultimate goal of slow gaming is interaction, not isolation.