I think "correct the errors in this ChatGPT essay" is a short-term viable homework exercise, but those errors might be gone in GPT-5 so I don't think it's long-term viable. Soon the LLM will just produce perfect essays at college level and there won't be hallucinations for the student to correct.
However, the "simulate the historical environment" task is great and I think it has long-term potential. I think it can be taken further; rather than "spot the errors that ChatGPT made", you could flip the script and make it "survive 20 turns of conversation without making a historical error", so you'd need to know things like local traditions, perhaps the geography of the ancient settlement you're studying, contemporaneous history like "who is the emperor and what's the sentiment towards him" and so on.
I'm also envisioning that, since text-based exercises are extremely easy to game (just pipe your text prompt into ChatGPT), and since ChatGPT is soon going to be strictly superior to a high-school level student, we could get around this by having the homework as an in-person verbal role-play or Q&A session, like a viva voce; essentially you have a verbal discussion with ChatGPT and you need to really know your material as it can dig into any part of the curriculum. Then ChatGPT can summarize each student's interaction, and the teacher doesn't have to sit through each individual one start-to-finish (1:1 exams are too time-consuming to be viable).
This round-trip through verbal interaction would potentially make the task more interesting (lots of people simply hate writing essays), shifts the focus away from tasks that will become obsolete (writing essays) in favor of ones that will be more relevant (human synthesis of ideas, and interpersonal interaction), and helps to mitigate the issue of LLM-assisted cheating by constructing an assignment that LLMs can't trivially solve.
Why leave hallucinations to chance? ;) The prompt could tell ChatGPT to randomly insert several authoritative sounding but verifiably false facts, to give the students debunking challenges! That solves the problem of GPT-5 being too smart to hallucinate, while still leaving open the possibility of talking rats.
What you're envisioning reminds me of Timothy Leary's Mind Mirror, published by Electronic Arts in 1985 for the Apple ][ and other home computers:
https://scalar.usc.edu/works/timothy-leary-software/index
https://www.rockpapershotgun.com/diy-transcendence-with-timo...
>Players answer questions that, when churned by Mind Mirror’s cryptic algorithms, can allegedly help them reveal intriguing new aspects of their psyche. Gameplay predominantly revolves around defining, comparing and then role-playing through different personalities in various text-based life simulations.
https://www.myabandonware.com/game/timothy-leary-s-mind-mirr...
https://store.steampowered.com/app/1603300/Timothy_Learys_Mi...
I extracted all the text from the Apple ][ Mind Mirror floppy disk image:
https://donhopkins.com/home/mind-mirror.txt
Hello, I'm Timothy Leary.
Welcome to MIND MIRROR.
MIND MIRROR (c) copyright 1985, 1986, Futique, Inc.
Published by Electronic Arts
MIND MIRROR
Design and script by Timothy Leary.
MIND MIRROR
Program and Design by Peter Van den Beemt and Bob Dietz.
MIND MIRROR reflects and qualifies your thoughts.
OPTION 1
MIND TOOLS
Enhance Insight, Mental Fitness, Learning Skills and Performance.
OPTION 2
MIND PLAY
SIGNIFICANT PURSUITS.
Sophisticated Head Games.
MODE 1
MIND MIRROR
Learn how to Micro-Scope and Map your thoughts.
MODE 2
LIFE SIMULATION
Test your empathy in amusing Role-Play Odysseys.
SELECT LEVEL
Beginner
Intermediate
Master
Consultant
Choose AUTO-PLAY
or INTER-PLAY.
Mirror your own thoughts.
Compare them with others.
RETURN begins game.
SPACE BAR clears text.
[...]
"Mirrors should reflect a little before throwing back images." -Jean Cocteau
https://donhopkins.com/home/mind-mirror.json
Just for laughs, here's ChatGPT's summary of that file, and its answers to questions about Timothy Leary -- I sure hope it's not hallucinating:
https://chat.openai.com/share/044c41a3-fbc5-49cd-a3d1-c42f07...
What's interesting is that game was based on Timothy Leary’s PhD dissertation “The Social Dimensions of Personality: Group Process and Structure”, which he ultimately used to break out of jail.
https://archive.org/details/leary/leary.300dpi/mode/2up
Before he got into LSD, he designed the Leary Interpersonal Behavior Circle personality assessment, which laid the foundations for understanding human personality and interpersonal behaviors.
https://en.wikipedia.org/wiki/Interpersonal_circumplex
http://paei.wikidot.com/leary-timothy-interpersonal-circle-m...
In the 1970s, Leary was arrested for possession of marijuana. As part of the intake process, he was given a psychological assessment designed to gauge the risk of escape or violent behaviors in inmates. This test was known as the "Group Psychological Assessment Test." Leary was familiar with the test – having designed it or at least aspects of it. Understanding the criteria being measured, Leary answered in such a way that he was categorized as someone who posed a very low risk of escape or violence.
As a result, he was assigned to a minimum-security prison. With the lower level of security and his connections, Leary managed to escape prison in September 1970. His escape involved various affiliations, including with the Weather Underground, a radical left-wing organization. After his escape, Leary fled the country and spent time in various locations, including Algeria and Switzerland, before eventually being recaptured in 1973.