i got a few emails asking the same question, so i thought i would respond here what i mean taking a calf to the side.
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the top figure is a calf and his head, the second lower one is you with you standing just slightly ahead of their shoulder. when i start, have about 3 feet slack between me and the calf. i wait till they are standing still and put some tension in the rope. if they even give a hint of even turning their ear or their eye looking at me, i put slack in the rope. if they will stand to be scratched with a stick i will do it at this point. usually by this time i have been handling the calves, scratching all over, their bottom, picking up their feet, scratching under their tail, between their front legs, whereever it's difficult for them to scratch.
as they get used to putting slack in the rope themselves, i move on to getting their feet to move. i do this on both sides for a variety of reason, mostly so they will get used to focusing on things using just one eye, so when they get in the ring, they won't be annoyed with something to their right moving around. prey animals usually like to twist around to see what's after them. this is the trust you will have to overcome to get them not to do this knowing that you will allow them to look at things and not expect them to act like a robot all the time. you can expect them to act like a robot, but a little at at time.
back to the pulling to the side. the reason this is important, is because as long as the inside hind leg is crossing over in front of the outside leg, they are in gear. for them to get out of gear, they need to lift up the inside rear foot and move it backwards. usually when they do this, they will give a strong expression of relaxation and let out a sigh. this is the expression you are looking for when you ask them to put slack in the rope. for them to pick up their FRONT foot and bring it towards you takes a lot of trust. forcing them to do this will never allow them to experience oneness with you. if you expand on this, you can literally tip their nose one way or the other, left or right, up down or any combo and get them to place their feet where you want without ever having to use a show stick. of course at this point, you should only have to merely reach with the stick and never even have to touch them and they will know what you want because they are soft and responsive.
the thing you should look for is that the unweight their foot when they pick it up rather than just stiffly picking it up because you are pulling them. when a calf sits down, sometimes i just sit there instead of slapping on them to get up. i'll even just scratch on them and just let them know it's ok, this is typically the opposite of what most people do.
when i really want a calf to listen, i will kneel down and lead the calf with his head near the ground and have him walk circles around me. it takes a lot of listening by both calf and me to do this.
another thing to look at is the spine. if it's curved around you, this is good, if it's curved away from you, it's bracing and is not good. asking them to move their feet when they are in this frame of mind is counterproductive to achievement. get the frame of mind you want first, then ask.