If you could suggest a phrasing that’s both accurate, but also short and won’t require the reader to know much graph theory. I think I’m pushing it as it is right now. I said “noncommutative” since I assumed that basically my entire audience would have been exposed to commutative binary function from their high school proofs classes.
“Noncommutative” should be applied to the operations (up, left, etc.) rather than to the space. Where are you that it’s typical for there to be classes on proofs in high school?
I went to high school in the United States and had a semester in proofs during high school. But now that you mention it, this may not be common and I might be generalizing from non-representative schools...
My understanding of what’s typical in American high schools is that most students only get as far as trigonometry or precalculus. Stronger students will take some form of calculus. But even at that point the closest thing a typical student will come to taking a course on proofs is seeing some “two-column proofs” of statements in Euclidean geometry.
I’ve fixed the spelling error.
If you could suggest a phrasing that’s both accurate, but also short and won’t require the reader to know much graph theory. I think I’m pushing it as it is right now. I said “noncommutative” since I assumed that basically my entire audience would have been exposed to commutative binary function from their high school proofs classes.
“Noncommutative” should be applied to the operations (up, left, etc.) rather than to the space. Where are you that it’s typical for there to be classes on proofs in high school?
I went to high school in the United States and had a semester in proofs during high school. But now that you mention it, this may not be common and I might be generalizing from non-representative schools...
My understanding of what’s typical in American high schools is that most students only get as far as trigonometry or precalculus. Stronger students will take some form of calculus. But even at that point the closest thing a typical student will come to taking a course on proofs is seeing some “two-column proofs” of statements in Euclidean geometry.
That seems accurate to me.