I very rarely find that people are able to articulate most of the heuristics and intuitions they use constantly unless you walk them through it - it requires much more metacognition than most people routinely deploy.
This is no great surprise, of course, and no one is to blame; as cultural practices come to seem obsolete and irrelevant, people forget how to engage in them. A few decades ago, every physics student knew how (and why) to use a slide rule. Now, most can't even recognize one.
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Similarly, there was a time not so very far removed from ours in which many young people took dancing lessons, and learned to waltz (and even to tango, and to cha-cha-cha.) Mathematics students today want to be apprentices about as much as they want to learn to waltz.
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