'left' and 'right' are arbitrary names--it might as well be "banana' and 'canoe'. any answer to the question really depends on what kinds of linguistic concepts the learner already possesses. for example:
teacher: "how many feet do you have?" learner: "two"
teacher: "are you sure they're not one foot that you see two times?" learner: "yes--they're the same shape, but reversed. also, if i stub my toe, i can point to one of the feet and say 'that's the foot i hurt'. the other foot doesn't hurt."
teacher: "then you understand the concept of 'sides'. one foot is on one side of your body, and the other foot is on the other side of your body. the same for hands and shoulders--they are divided by the middle of your body."
learner: "what's 'middle'?"
teacher: "that is the place that isn't on a side--it is the straight line between sides, that divides one side from the other. that line connects your nose and belly button, then goes up to the sky and down to the ground without ever bending. point to one of your feet (learner points). the name for that side is 'canoe'. now touch your canoe foot with the hand that is on the same side of your nose line (learner touches). that's your canoe hand, which is on the end of your canoe arm, because they are all on the same side of your nose."
learner: "what's the name of the stuff on the other side of my nose?"
teacher: "the other side is named 'banana'. point to your banana foot with your banana hand (assume correct response). now let's get more complicated--touch your banana foot with your canoe hand (correct). did your canoe hand change into your banana hand?"
learner: "no"
teacher: "right. it is still your canoe hand. you just put it on the banana side of the middle: your nose. banana and canoe are just names so that you can tell where something is in relation to a middle. your canoe hand is the hand that connects to your canoe shoulder, but you can reach across the middle any time you want.
...and then soylent's heart example is probably the best way to ID which name goes for which side. this of course ignores the problem of 'my canoe' vice 'your canoe' if two people are facing one another, but that's be an even longer post.