While there are a multitude of publications that list many techniques for cast-on, I wanted to describe the different ones used in Kristin patterns, and the differences between them.
Slip Knot: make a loop; hook another loop through it. Tighten gently and slide the knot up to the needle.
Long Tail Cast On (aka Continental Cast On):
Provisional Cast On (aka Invisible Cast On): knot working yarn to contrasting yarn. With needle in right hand, hold knot in right hand. Tension both strands in left hand; separate the strands with fingers of the left hand. Yarn over with working yarn in front of waste yarn.