Lease owner says, if you are say going in a circle counter clockwise, you give a little bit more reign contact on the outside reign and press into the horse with the opposite leg, and drive with your seat.
My instructor, says when doing half halts, you do two quick successive "taps" or so backwards on the horse's mouth, while engaging your seat/core.
On the ground, if we're jogging in hand, I do two quick successive taps on the lead line before cuing for a halt. I have had success with this method on the ground with my ground cuing, but not my instructor's with truly collecting a horse under saddle... But when I explained my LO's method, he said that that was better suited for collection in mind, rather than alerting the horse that something new was happening, which is when he tells us to use his half halt.
So... I'm confused.