You shouldn't be watering on a schedule but when the plant needs water. As its trying to root, it needs some water but not a lot. Use a bamboo skewer poked into the soil to the bottom of the pot to check for moisture. Leave the skewer in the soil for a couple minutes then pull it out. You will be able to feel moisture on the skewer. You can compare it to the side of the pot and see exactly where the moisture level is in the pot. Its always better to underwater then overwater.
As Needrain pointed out, it will start to grow on top of the soil when its grown enough roots to support more leaves. Don't be tempted to tug on the leaves to test to see if its rooting. You will damage the new little roots its trying to grow so set it back. It will either root or rot - be patient.
Then you should follow his instructions for watering. It sounds like this Aloe doesn't need a lot of water ever so if the root system was very small when you repotted, it was being overwatered.