Top student: All my teachers are academic whizzes!

The county's No. 1 Middle School usually schedules two evening self-study sessions.

The first period runs from 7:00 PM to 8:30 PM, with a 15-minute break in between. The second period is self-study until 10:30 PM, and teachers are usually present during the sessions.

In the classroom, Han Chuan sometimes focused and sometimes drifted off, slowly working through the junior high school math textbook for about half an hour.

On the desk, Ge Jun also quietly observed for half an hour before finally unable to resist writing a line of words on the textbook, his pen strokes carrying undisguised disdain.

"Are you just going to keep watching like this?"

Looking at these words, Han Chuan thought to himself, "How can I learn if I don't look at them?"

"Seeing and learning are two different things."

Ge Jun wrote even faster, revealing a sharp, impatient urge.

"I'm asking you, you spent more than half an hour this evening during self-study, going through the entire junior high school math textbook from the beginning, the first chapter on rational numbers, positive and negative numbers, and addition and subtraction rules."

"And then? What did you learn?"

Han Chuan thought for a moment and answered seriously in his mind: "Positive numbers are greater than zero, negative numbers are less than zero, and zero is neither positive nor negative. When adding two negative numbers, the absolute values ​​are added together, and the sign is negative..."

"stop."

Ge Jun crossed out his words with a horizontal line, revealing bold, heavy handwriting as he angrily cursed.

"Is this what you call studying? You're just reciting it!"

"Is math just about memorizing? Huh?!"

"What's the point of memorizing the definitions perfectly if you still can't solve the problems?"

"Mathematics teaches logical thinking, the ability to analyze and solve problems, not rote memorization!"

"With your memorization skills, what's the point of studying math or science? Switch to humanities!"

Han Chuan: ".."

Although he was criticized, he knew that Ge Jun was right.

Tonight he spent half an hour reading his junior high school textbook, reading it word by word over and over again. He did memorize a lot of definitions and rules, but if you asked him to do a problem now, he still wouldn't feel confident.

To be honest, his current mindset is more like using "studying" to numb himself and make himself feel like he's already making an effort.

It's like someone who can't swim struggling in the water; they look like they're trying hard, but they're just struggling in the same spot.

"Teacher Ge, how should I learn?"

Taking a deep breath, Han Chuan looked at the book and asked earnestly.

He genuinely wants to change himself.

Ge Jun's handwriting did not appear immediately.

A few seconds later, a new line of writing slowly appeared, with neater strokes than before, as if it had been carefully considered before being written.

"Listen carefully! Starting today, for every new concept you learn, ask yourself three questions."

"First, how did this definition come about?"

"Secondly, how was this theorem derived?"

"Third, how does it connect with the knowledge points we've learned previously?"

"Only after understanding these three questions can you say you've truly learned something and can continue learning!"

"If you can't figure it out, stop and think about it. You can move on only when you understand it. Do you understand?"

Han Chuan nodded, took a deep breath, turned back to the first page of his junior high school textbook, and reread the first chapter on the definition of rational numbers.

Integers and fractions are collectively called rational numbers.

Integers include positive integers, zero, and negative integers; fractions include positive fractions and negative fractions.

He understood this most basic concept. If you were to compare it with the online novels he had read before, this was the most basic setting in the cultivation techniques.

Just as he was about to turn the page, Ge Jun's words quietly surfaced in his mind.

Integers and fractions are two completely different things, so why are they 'collectively' called rational numbers?

Where did this concept come from? Can they be converted into each other?

Thinking it over, Han Chuan picked up the pen on the table, opened his notebook, and wrote a number on it.

-5!

This is a negative integer; if you want to write it as a fraction, it would be -5/1.

In other words, integers can actually be incorporated into the fractional expression system in terms of form.

He vaguely felt that his thoughts were extending in a blurry direction, but he couldn't quite grasp them.

"Integers can be written as fractions, but they are not fractions in essence."

Han Chuan muttered to himself, trying to organize his thoughts: "What are the conditions under which they collectively constitute rational numbers?"

As he pondered this, the concepts of numbers in his junior high school math textbook seemed to come alive at that moment.

Just like the scene when Teacher Ge Jun was summoned back then, it was as if he came to life.

This time, however, these active words did not become another "book spirit," but instead directly constructed an extremely clear mathematical field in his field of vision.

The words on paper are no longer abstract symbols, but have become something more essential.

Han Chuan found it hard to describe the feeling. It wasn't a visual distortion or discoloration, but rather as if someone had peeled off a filter in front of him, revealing the original skeleton of the mathematical world.

The symbols, definitions, and formulas that had once been dormant in textbooks have now all awakened, transforming into a three-dimensional star map composed of countless points of light and threads, hovering around him.

He saw countless integers, whether positive or negative, large or small, all condensing into a bright point of light in the void.

0 is the origin, where the light shines brightest, extending to both sides.

1、2、3……-1、-2、-3……每一个光点都均匀排列，像一条无限延展的珍珠项鍊。

Then, the scores appeared.

1/2 did not fall on the integer point of light, but hovered precisely in the middle between 0 and 1.

1/3将0到1的线段三等分，落在第一个分割点上，2/3则落在第二个分割点上。

Each fraction is like a star, placed in those previously overlooked gaps between integers.

"Is this... a new feature?"

Han Chuan stared blankly at the starry sky-like scene before him, instinctively reaching out his hand. His palm passed through the points of light and finally landed on the '-5' he had just written in his notebook.

Soon, he saw that in the rational number star chart, the point of light '-5' was not just an isolated point.

From its body, countless threads, like silkworm silk, connect in all directions.

其中一根丝线联结着『-5/1』，另一根联结着『-10/2』，还有『5/-1』『15/-3'.....

"I see!"

Looking at these numbers and images that seemed to grasp the essence of rational numbers, Han Chuan suddenly understood the nature of rational numbers.

All rational numbers can be represented in the form a/b, where a and b are integers and b is not equal to zero.

This is the mathematical definition of a rational number!

I don't know how much time has passed.

The silvery-blue light rapidly faded from the edge of consciousness, like the tide receding to reveal the sandy beach of thought.

The incredibly clear, almost indistinguishable three-dimensional mathematical picture that had just been seen collapsed and vanished in an instant.

All the numbers, threads, symbols, and arrows vanished without a trace, leaving only the cold text and diagrams in the textbook.

Sitting at his desk, Han Chuan's eyes lit up.

For the first time, he felt that mathematical definitions were no longer just a bunch of rigid words.

The logical chain of the three concepts of integers, fractions, and rational numbers has become clear, like a line connecting three originally scattered points.

This was a feeling he had never experienced in his twelve years of studying mathematics in his previous life.

Han Chuan felt that if he had a top student system right now, then numbers like "Insight +1, +1" or "Understanding of mathematics +1, +1" would probably appear above his head.

What Han Chuan didn't notice was that while he was immersed in thought, Ge Jun's consciousness, existing on the other side of the book, was emitting an emotional fluctuation similar to a smile that he couldn't perceive.

That kid.

He may be a bit slow-witted, but he's really willing to use his brain, think, put in the effort, and listen to advice.

Teaching this kind of student isn't a waste of his time.

.....

The last evening self-study session passed quietly in peaceful study.

Han Chuan was jolted awake from his books when the bell rang throughout the campus.

He glanced at the round clock on the blackboard and, without realizing it, he had been studying intently for the entire evening self-study session.

It's no exaggeration to say that this is something he has never done before.

Even during the more than ten years of schooling before his rebirth, from elementary school to junior high, and then to high school and university, he had never been able to concentrate on studying for such a long time.

More importantly, after being awakened by the bell signaling the end of get out of class, he felt a sense of lingering satisfaction.

He now reads books just like he used to play games, only wishing he had played for longer.

Coming to his senses, Han Chuan glanced at his deskmate, Li Hao.

This guy was fast asleep, his head resting on a math textbook, his drool soaking the book. I have no idea when he fell asleep.

"Wake up! get out of class is over."

Li Hao groggily raised his head, a trace of drool still hanging from the corner of his mouth. He stared at the blackboard unfocused for three seconds before realizing that get out of class was over.

"Huh? get out of class is over?"

He wiped his mouth, looked down, and saw a wet stain on the math textbook that was particularly glaring.

"grass!"

Han Chuan tidied up the books on the table without looking up: "You were sleeping soundly."

"That's because math class and evening self-study sessions are the two times when I get the best quality sleep."

Li Hao yawned, then suddenly remembered something. His gaze fell on the math textbook on Han Chuan's desk. After glancing at it, he leaned over and asked.

"Did you really study a whole junior high math lesson tonight?"

"Um."

Li Hao stared at him for two seconds, then hesitated, saying, "No, bro, you can fool me, but don't fool yourself too!"

Han Chuan glanced at him, smiled, didn't reply, and closed his notebook.

The page is filled with notes from tonight's reflections—the definition of rational numbers, the relationship between integers and fractions, and the expression of a/b.

These contents used to seem like gibberish to him, but now they are his own intellectual achievements!

"Let's go, this is boring, let's go back to the dorm!"

Seeing that Han Chuan remained silent, Li Hao waved his hand, stuffed the math textbook into his drawer, and got up to leave the classroom.

Damn it, we're both academic underachievers, so how come you can read books so well while I can only read books and sleep soundly?

Han Chuan smiled and began tidying up the textbooks and teaching materials on the table.

That's how people are.

I fear both that my brother will have a hard time and that he will drive a Land Rover.

Li Hao is a glib-tongued but not malicious person. In their previous life, after graduating from high school, the two gradually lost contact. They only heard that he later went to Guangdong to work, and after working in an electronics factory for a few years, he returned to his hometown and opened a small supermarket. His life wasn't bad, but it wasn't good either; it was just an ordinary life for an ordinary person.

Han Chuan took the math textbook (compulsory course 1) and junior high school textbook (which contained Teacher Ge Jun's book) with him on his way back to the dormitory. His eyes swept across the desk, and after thinking for a moment, he picked up a pen and took it with him.

When I left the classroom, the teaching building was already bustling with activity.

The corridor was full of students in blue and white school uniforms. Some were going to play on the playground, while others, like him, were going back to their dormitories.

"You're quite a surprise, kid."

On the textbook for compulsory mathematics, a line of handwriting appeared with a mixture of surprise and satisfaction.

The fact that Han Chuan could concentrate on studying for an entire evening self-study session was enough for Ge Jun to take a second look at him.

He has seen many students, from geniuses to underachievers, but it is really rare to find someone who can concentrate on studying for an hour with almost no external interference.

Especially in the area of ​​learning.

After all, people's attention span is limited under normal circumstances, and boring learning is easily disturbed by external noises.

"Teacher Ge, I think I understand rational numbers, addition, subtraction, multiplication, and division of algebraic expressions."

Looking at the words that appeared, Han Chuan spoke with some excitement.

"Do you really understand?" Ge Jun asked, his eyes flashing with three large characters.

"Um!"

"Okay, then I'll give you a few questions to test your knowledge."

The words on the textbook flickered, and then several math problems caught Han Chuan's eye.

Is it correct that if ab < 0, then |a + b = ab; and if ab > 0, then |a| + b = a + b?

【若a≤0，则|a|+a+2等于（）；A.2a+2、B.2、c.2—2a、D. 2a—2】

【-1⁴-1/6×[2-（-3）²]】

"Three questions, do them."

Han Chuan walked along, pondering the question as he went. Then, he picked up a pen and...

Question 1: "Correct √"

Question 2: "B"

第三题：（-3）²=9，2-9=-7，-1⁴=1，原式变为-1-1/6×（-7）=−1+7/6。-1=-6/6，因此-6/6+7/6=1/6。

The result is: 1/6.

It didn't take long for the answers to the three questions to be filled in completely on the blank paper in the pristine notebook.

"Teacher Ge, please take a look."

Han Chuan called out to Ge Jun, and a line of writing appeared on the first compulsory mathematics textbook.

"It's alright, we can start continuing our studies tomorrow."

There was no praise, no exclamation, just a simple "Not bad, you can continue."

After all, this level of math problem is really too trivial in the eyes of Ge Jun, a senior teacher who can compile high school math textbooks.

Moreover, the person who solved the problem wasn't a junior high school student, but a high school student.

It's normal if you can do it; if you can't, then it's beyond help.

"Hehe, okay!"

Han Chuan didn't care about Ge Jun's attitude. He chuckled and closed his textbook.

"You're satisfied with solving the simplest junior high math problems? And you're so happy about it?" A sarcastic remark appeared on the textbook.

Han Chuan chuckled and said, "Being able to enjoy the process of learning is the best thing!"

.....