Really? One on one? I've certainly been to many 'read-out-the-textbook' lectures, but there's a good point to those, which is why I went. One on one I'd feel very robbed.
Is it sufficient to read the book aloud to them even if you don't understand it yourself? If so why isn't there a profession of ill-educated freelance book-readers?
So are you claiming to be a counterexample to 'weight change=calories in - calories out'?
Mathematics. No problems there because the wisdom of the ancients is still true.
"Well, I code in Python most of the time, and I tend to write in functional/imperative style because it's so much clearer and more concise to me and to others who I can consider to be more advanced. Funny thing is, people who think in procedural style find it very difficult to read my demonstrably functional code. " [Italics added]
Perhaps you could show us examples of the two contrasting styles?
If we are truly in contact with someone who can accurately form abstractions without considering examples, then I would expect to be impressed and baffled by their code.
And as you say, there would be evidence of its correctness from its successful execution.
Don't bother with the comments. Just say what it's supposed to do.
And then when you've got his attention, show him decimal notation.
And stirrups for his horse. And lances.
Once he's hooked, show him why things float. And how a ball rolling down an inclined plane moves 1, 4, 9, 16 as it accelerates.
Show him Cartesian geometry. And how to play go with lines scratched in the ground and coloured stones. Make a recorder and play him some songs.
He'll teach you Greek.
Show him how to send messages using flashing mirrors. Show him Playfair's cipher. Perspective drawing. How to make a magnifying glass. Newton's cradle. Make a model boat out of bronze.
I suspect in a day in Ancient Greece, you'd see so many easily solved problems that my list would look naive. You don't need modern technology. You need the things that were discovered just after the mediaevals recovered what the Greeks already knew.
A plastic bottle out of the trash. It's transparent but flexible and almost weightless. See how well the lid has been made? It makes a water-tight seal.
It might be the most valuable object in Greece.
Bad weather, as in 'rain that rots your crops and causes famine', 'wind that takes the roof off your house', 'blizzards that kill your livestock', etc...
I suspect that 300 days of sleet might have an effect, even now.
I've also had this done, but my GP used warm water. No ill effects whatsoever. Obviously my hearing improved.
Doesn't Newtonian gravity require computation over an infinite number of steps?