1. Bring 31/2 cups water to a boil over medium heat, and add tapioca pearls. Boil for 30 to 45 minutes, or until pearls are turning translucent. Remove from heat, and let sit in hot water for 30 minutes more. Drain, and rinse in warm water. Put pearls in a mixing bowl, add brown sugar and toss. Divide tapioca equally between 2 large serving glasses.
2. Mix together remaining ingredients, and shake. Pour mixture into the 2 glasses of tapioca pearls. Serve with large straws.