Many people take counting for granted.
They think it is merely reciting of a list of words in order and once a child can recite the number names in order he can count. Order of counting is irrelevant. You get the same answer no matter which order you count in. These are some of the principles children need to understand before they can fully master counting in its full meaning. We do not teach these as rules neither do we follow these principles one by one when we use the act of counting.