This gets to the essence of learning, consistent with Vygotsky (making his "non-spontaneous concepts second nature), Dehaene and the other FRS who have worked so hard to make brain research accessible and understandable to the rest of us.
One point of detail. I'm not sure I'd have a five year old learning to count in twos, unless they could keep track of how many twos they have. In other words, I'd learn the table at the same time, so they couldn't get it wrong - aka second nature - and build further investigation on that.