In any school, examinations and study are always the eternal reserved items.
Hogwarts is certainly no exception. No matter how many changes have taken place in the castle this semester, it is still a place where knowledge is imparted, and when the end of the semester approaches, the end of the semester with exams will not change.
According to the theory that everything is number proposed by Pythagoras, everything is wonderfully related to numbers. Therefore, before studying the world, analyzing mathematics first is undoubtedly a clearer and simpler path.
Although there is still a lot of controversy in the current academic world on this point, it is undeniable that using mathematical thinking to sort out and find the connections between things is indeed an extremely efficient and smart way. For example, inquiry learning
The connection between textbooks, time patterns and final exam questions.
Elena picked up the pile of messy and worn parchment papers on the table and carefully spread them out on the floor of the room in chronological order. According to different subject categories, there were long lines of test papers.
These test papers all come from the Room of Requirement in the corridor next to the "Piano Room" and opposite the tapestry of "Troll Beats Barnabas". This is a secret magical room that exists in Hogwarts Castle. There is no
It has a fixed form, but changes according to the needs of the seeker, whether it is a toilet, utility room, training room, fun room, study room, restaurant, weapons room...
But for Elena, what she needs is not a special room, but to find the final exam papers that Hogwarts students have hidden in the Room of Requirement over the years, intentionally or unintentionally.
Hiding and destroying final exam papers is a very common behavior in any school.
After all, except for a very small number of top students, not every little wizard is willing to put his final exam paper in his suitcase at the end of the semester and take it home to share with his parents and siblings.
Using the two constraints of "a place where things are hidden/a place where test papers are hidden" for review and screening, Elena accurately found all the papers she wanted from the garbage dump-like Room of Requirements to verify her conjectures.
.
"Sure enough, I knew it was like this..."
Elena looked at the past questions on the ground and said softly.
According to the definition in the introduction, the parallel mapping of finite sets must have finite solutions, and the order-preserving mapping on the consistent complete lattice has sign-preserving properties. That is to say, the seemingly infinite set test questions have the knowledge points of the textbook on finite sets.
, will inevitably converge as the time axis lengthens, that is, there will be repeated solutions.
Of course, the above is how ordinary Muggles know and understand the world.
From the perspective of wizards who do not learn (no) mathematics, that is, wherever the professor draws the key points, it is the range of questions in the final exam, although... this key range is usually about the same as that in the hands of young wizards
That textbook.
Even before traveling through time, Elena had done a lot of research and speculation on the education system of Hogwarts.
A large part of this lies in the fact that the wizarding world's rate of replacement of basic education textbooks is incredibly slow. The most obvious example is the original work "Harry Potter and the Half-Blood Prince", published in 1997.
The textbook used by Harry Potter in Potions class is actually exactly the same as the textbook used by Snape in 1976.
Not only the title of the book, but even some basic errors and cumbersome methods have not been revised or re-edited in more than thirty years. This is simply unimaginable in the non-magical world during the same time period.
things.
In addition, both the "Standard Spells" series and the "Elementary Transfiguration Guide" are works left by wizards hundreds of years ago. They have not changed at all over the years. In comparison, Elena "
"History of Magic" compiled by "Grandma Grandma" is actually one of the rare textbooks that has been revised diligently.
Let’s not discuss the problems that using the same set of textbooks for a long time may cause in the quality of education. For the professors at Hogwarts, the examination questions at the end of each semester are also a headache.
You must know that, unlike those schools in the non-magical world, Hogwarts has a serious shortage of manpower in terms of educational resources. Each professor has to deal with at least 5-7 grades of young wizards, which means that every time
At the end of the semester, they must find time to at least produce a corresponding number of sets of test questions.
"It's really not easy. In a college dormitory system like Hogwarts, we have to find ways to prevent cheating."
Elena looked forward starting from last year's final exam questions and found that the content of each year's exam papers was different from the previous year. It was obvious that the professors at Hogwarts were not lazy enough to only use one set of exam papers to cope with the exam.
Regarding this point, it did not exceed Elena's expectations.
After all, in Hogwarts, students of all grades live in the same dormitory according to their respective houses. If the same set of test questions is used every year, it will be easy for the senior students to miss questions for the lower students at the end of the semester.
Case.
"There are seven grades in Hogwarts. If we want to ensure that the lowest level question bank is kept secret, then it means that students in the school will not encounter repeated final exam papers, which means..."
Elena whispered thoughtfully, squatting on the ground and carefully checking and arranging the discarded test papers from the "trash pile" according to the year. As we all know, the simplest mathematical induction is poverty.
Lifting method.
"1990, 1989, 1988...1985, 1984, 1983...this is it!"
Looking at the similar parchment paper in front of her, Elena quickly stood up and looked at the one at the front that had just been thrown into the "trash pile" last year, separating the two papers that were 8 years apart.
The test papers were put together.
From the first question to the last question, all the contents are exactly the same. If the time is covered, it will even make people think that this is the test paper answered by the same students, but no matter whether the paper is new or old, it is still written at the top of the paper.
The names of the students clearly verified Elena’s conjecture again.
The test papers for most subjects at Hogwarts use a seven-year cycle question bank. In other words, the test paper system used by students who graduated last year happens to be the test paper used by the young wizards who just entered the school this year.
.
In this way, the seven academic years of Hogwarts form a cycle like an ouroboros.
Except for the special Defense Against the Dark Arts course, professors in charge of other major courses no longer have to work hard to come up with new test questions every year, and at the same time, they don't have to worry too much about the problem of real test questions being leaked in advance.
I casually took a piece of French caramel pudding and stuffed it into my mouth, feeling the crispy caramel melting little by little on the tip of my tongue. The delicate and smooth pudding with a slight milky aroma but not too sweet touched my teeth coldly.
Lina narrowed her eyes happily.
"Tsk, I didn't expect that I accidentally found the dark history of two 'acquaintances'..."
…………
The Room of Requirement is located in the corner corridor on the eighth floor of Hogwarts Castle.
It is next to the principal's office, the Gryffindor common room and the Ravenclaw common room. If nothing else, it should be the work of Rowena Ravenclaw, one of the founders. After all, Gryffindor
He doesn't seem to be such a careful person.
Perhaps because of the unique geographical location of the "Room of Requirement", most of the students who use this place are young wizards from Gryffindor House and Ravenclaw House, which is more in line with the students of the two houses.
character.
The reckless Gryffindor cub will always try to destroy and discard dangerous items.
And sensitive Ravenclaw girls will also have many secrets that they want to hide secretly from others.
The two test papers in Elena's hands happen to be one from Ravenclaw House and one from Gryffindor House. What's even more interesting is that the owner of these two final test papers for the first year of Potions class happens to be her.
They all 'know'.
"Bill Weasley, Qiu Zhang... I didn't expect that these two good students would also fail in the exam. Well, what's more interesting is that this time-spanning confrontation between Ravenclaw and Gryffindor,
Unexpectedly, Gryffindor actually won?"
Elena is naturally familiar with Qiu Zhang, Harry Potter's first girlfriend in the original novel, a second-year Ravenclaw senior of Chinese descent, although personally she has never liked her very much.
This Chinese senior sister.
It's not that Elena deliberately targeted Qiu Zhang, mainly when she learned that Qiu Zhang not only couldn't speak Chinese, but also lived in the British magical world since she was a child, and her outlook and personal habits were completely the same.
The alienation caused by the psychological gap caused by failed expectations after British wizards did not have many Chinese elements except blood.
But studying in the same school, there are still some memorable interactions between the two.
For example...
In the few Quidditch matches against Ravenclaw College during this school year, the silver-white demon soaring in the sky almost effortlessly beat the girls on the Ravenclaw team to tears, so much so that afterwards
In the past few weeks, every time Elena passed by the Ravenclaw table, the eyes of several senior girls turned red instantly.
Among them, Qiu Zhang, who also holds the position of seeker, can be said to be one of the little wizards who cried the loudest.
Except for her own little wings, Elena has always been as ruthless to the cabbage outside as the autumn wind sweeps away the fallen leaves. Moreover, it is really difficult for her to face this senior who has a Chinese identity but has no sense of familiarity.
There is so much closeness.
However, Elena has a completely different attitude towards Bill Weasley.