Fable
Two schoolteachers, one reciting model essays, one marking papers
Two private schools newly opened in town, using completely different teaching methods. At the East School, Mr. Qin had a thousand model essays—every question had a standard answer. A student memorized one, and Mr. Qin corrected it word by word against the model essay, deducting points for errors and adding points for correctness. At the West School, Mr. Fang had no model essays. He had students write on their own, then submit it to several graders for scoring—not right or wrong, but good or better. High-scoring answers were entered into the answer bank. Next time students wrote a similar question, they first looked at which style scored higher in the bank, then adjusted themselves.
In the first year of the county exam, students from both private schools were admitted to the prefectural school, with comparable results. Mr. Qin's students were accurate in dictation and quoted the classics without a single error. Mr. Fang's students wrote fluently, and the examiner circled some passages and marked them with the character for "excellent." Parents in the town wanted the best of both and began discussing which teacher's method was better.
The conflict appeared in the next examination. The questions changed from reciting scriptures to policy essays—analyze the three current abuses of grain transport and propose improvements. There was no standard answer. Mr. Qin's students applied the three-part water-management argument from the model essays; it was neatly written but did not match the actual situation of grain transport. Mr. Fang's students had no model essays to memorize, but the archive held the essay style preferred by previous examiners, and they wrote in that direction, hitting most of the scoring points.
Mr. Qin approached Mr. Fang and asked whether his teaching method could also be used with his own students. Mr. Fang asked in return: would it not work better if your students first learned to study model essays and get the basic answers right, and then entered my question bank apparatus to practice preferences? Mr. Qin tried linking the two stages together—three months of memorizing model essays as a foundation, followed by two months in the question bank practicing preferences. The next cohort of students indeed scored high on both policy essays and dictation.
There was one detail Mr. Qin regretted not noticing earlier: when his students were memorizing model essays, they occasionally memorized errors in the essays — for example, a model essay wrote the capacity of the Luoyang granary as one hundred thousand shi, when it was actually eighty thousand shi. Once this error entered the students' foundational knowledge, even when they later went to the exam archive to practice preferences, no one realized the base number was wrong; everyone optimized preference rankings on the wrong answer, drifting further from reality the more they practiced.
The private school later drew a line on the curriculum: basic answer accuracy on the left, preference optimization on the right. The teaching materials on the left need regular verification, and the preference question bank on the right also needs regular calibration. The two stages cannot be merged into one, nor can one skip the verification on the left and go straight to the optimization on the right.
Mr. Qin's apprentice later turned these two steps into a teaching method: students first see what the correct answer looks like, and then look at what the examiner's preferences are. The two stages use different materials, different evaluation methods, and different correction mechanisms.