Top student: All my teachers are academic whizzes!
Chapter 7: Youthful Perfectionism and False Independence
"quick?"
"It's too late if we're too slow!"
Ge Jun's handwriting was cold and hard as he said, "You're in the second semester of your junior year. The countdown to the college entrance exam is already underway."
"If you don't hurry up and make the most of your time, what's the point of learning anything!"
If he were an ordinary student, he wouldn't need to rush like this.
Even a student of average talent can improve their math score to over 130 points in at most three months under his guidance, which is more than enough for the college entrance examination.
In addition to mathematics, the college entrance examination also includes other subjects such as Chinese, English, and physics.
Of course, the most crucial thing was Han Chuan's performance last night, which really piqued Ge Jun's curiosity.
This little guy can understand the concepts of rational numbers, number lines, opposite numbers, absolute values, and expansions in just one evening study session and a few spare moments before bed.
They do have a talent for learning; in fact, you could say they're quite good at it.
So he wanted to see where this student's limits were.
The standard for a true math genius is to finish a junior high school textbook in a week.
He didn't expect Han Chuan to finish a textbook in a week, but even if he didn't finish, he could still see the little guy's learning ability and then teach him according to his aptitude.
After all, different teaching methods are needed for different students.
Some students are better suited to being taught slowly and repeatedly, while others are better suited to being given a general overview and then skipped over.
Upon seeing these words, Han Chuan's heart suddenly tightened.
Yes.
He is not a first-year junior high school student, but a second-year senior high school student.
There are only one year and three months left until the college entrance examination.
In his past life, he squandered all his opportunities by procrastinating and indulging himself, ultimately scoring only 400 points and ending up in a third-tier university.
He can no longer learn slowly in this lifetime.
"good!"
Han Chuan nodded emphatically and said, "I'll listen to you!"
.....
For the next week, Han Chuan was pushed and scolded forward by Ge Jun.
If you go astray on a problem, a line of glaring handwriting immediately appears on your textbook: "Where's your brain? Huh? Did you even read the definition?"
If someone miscalculates a single symbol, Ge Jun can unleash a torrent of abuse, turning him from careless to having a proper attitude.
At first, he was so angry that his face turned red and his palms sweated, but later he became more composed and clear-headed as he was scolded.
Ge Jun still had a sharp tongue, but the disdain in his handwriting had gradually faded.
Han Chuan didn't argue; he just lowered his head and answered the question correctly, responding to all the criticism with his meticulous answers.
From Monday to Sunday, Ge Jun remained sharp-tongued, but the disdain in his handwriting gradually faded.
On the last afternoon, when Han Chuan finished flipping through the last page of the first-year junior high school math textbook, Ge Jun finally couldn't help but write a line on the paper and ask a question with curiosity.
"With this learning speed... how did you manage to get to high school and still not understand the concept of negative numbers?"
He was genuinely curious. If we were to judge solely from the seven days of learning, and if his previous poor foundation wasn't just an act, then Han Chuan's talent was truly remarkable.
Many knowledge points may not be understood after reading them once, but after reading them a second or third time and explaining them to him again, he will be able to start to apply what he has learned to other knowledge points.
Ge Jun was genuinely puzzled by this learning ability; how could this kid's foundation have been so poor before?
Upon seeing this, Han Chuan chuckled awkwardly and flattered, "Perhaps it's because I haven't encountered a teacher as knowledgeable and uniquely teaching as you before."
Ge Jun: "Unique teaching method? What, you think I shouldn't have criticized you?"
Han Chuan: ".."
No, he never even thought of that!
Although over the past week or so, Uncle Ge did indeed scold him quite harshly.
It's no exaggeration to say that he was scolded at fixed times for breakfast, lunch, and dinner, plus extra snacks during morning self-study, lunchtime snacks, and late-night snacks during evening self-study...
If he encounters a math class and doesn't understand a certain concept, he will inevitably be met with a barrage of sarcastic remarks.
When it comes to swearing, Uncle Ge is just as professional as the questions he sets!
However, for Han Chuan, although Uncle Ge scolded him, he genuinely cared about his well-being, teaching him math knowledge while scolding him.
If you don't understand it the first time, he'll explain it to you again while cursing.
Therefore, his attitude towards Uncle Ge changed from simply seeing him as a "golden finger" to that of an elder as he learned from him over this period of time.
Sometimes Han Chuan even thought that if Uncle Ge could come out of the book and beat him up, given his poor foundation and learning ability, the other party would definitely have given him a couple of beatings.
Perhaps because he couldn't fight, Uncle Ge's ways of cursing have become more and more varied over time.
"Alright, you're being hypocritical after getting the benefit."
"Next, we'll learn about intersecting lines, parallel lines, and linear equations in two variables..."
.....
The third period in the morning is math class. There are four math teachers in total at the county's No. 1 High School. Teacher Cao Wen is in charge of Class 09 of the second year of high school, which is Han Chuan's class.
This lesson is about solid geometry. A standard triangular pyramid is drawn on the blackboard, with various auxiliary lines and angles marked on it.
Although the diagrams were perfectly standard, it is well known that math teachers' handwriting on the blackboard is always messy.
Teacher Cao was no exception; the handwriting next to the graphics was extremely messy.
The sound of chalk scraping across the blackboard was piercing and sharp, and suddenly a practice question appeared.
"In a triangular pyramid P-ABC, PA is perpendicular to the base ABC, and the base is an equilateral triangle. Prove the value of the cosine of the angle between PC and AB."
Han Chuan sat by the window, staring at the triangular cone for a long time.
Solid geometry is a mathematical concept that he hasn't yet figured out.
He is currently studying plane geometry with Ge Jun, and he hasn't yet caught up on many things.
Even though he didn't understand it, he didn't give up, sleep at his desk, or read extracurricular novels like he used to.
In the textbook, he used a red pen to write down several key points that Teacher Cao had mentioned in the blank space, planning to go back and study them after he finished reading junior high school geometry.
"Can someone come up and solve this problem?"
Teacher Cao Wen's voice rang out from the podium, and the classroom was completely silent. No one spoke up or raised their hand to indicate that they wanted to try.
These days, the education department has not issued any directive prohibiting class division based on academic performance, so it is perfectly normal for high schools to divide students into classes based on their grades.
Class 09 of the second year of high school is not the top class in the county's No. 1 high school. In other words, the students who can attend this class are basically poor students, and their academic performance ranks in the middle and lower range of the entire grade.
Seeing that no one volunteered, Cao Wen's gaze swept around the classroom and finally landed on the window seat in the middle to back row.
"Han Chuan, come here."
Although he wasn't the homeroom teacher of Class 09 in the second year of high school, he would spend one or two days each week supervising the morning and evening self-study sessions for Class 09.
Unlike the top-ranked elite classes at No. 1 High School, the morning and evening self-study sessions in these regular classes are truly self-study sessions, with virtually no lectures or anything like that.
So when he was in charge here, he had plenty of time to observe what the students in the class were doing.
Normally, apart from the students in the first few rows who would be relatively serious about reading, studying, and memorizing texts and vocabulary, the students in the middle and back rows of Class 09 would either be sleeping, secretly reading novels, or daydreaming.
But in the past week, he discovered an interesting student.
That is, Han Chuan, whom he just mentioned.
This student, who usually sneaks peeks at novels or daydreams during math class, has been like a completely different person in the past week. Not only does he listen attentively in class, but he also studies diligently during evening self-study.
Cao Wen is willing to lend a helping hand to such proactive and motivated students.
Asking him to answer questions is also a way.
.....
Cao Wen's voice rang out in the classroom, instantly drawing the attention of the entire class, and everyone looked over.
Sitting next to Han Chuan, Li Hao, who was looking at his junior high school math textbook, nudged him hard with his elbow and whispered, "The teacher wants you to come up and do some problems."
Han Chuan subconsciously stood up, walked to the blackboard, picked up the chalk, stared at the question on the blackboard for a while, and hesitated to write anything.
In a triangular pyramid P-ABC, PA is perpendicular to the base ABC, and the base is an equilateral triangle. Prove the cosine of the angle between PC and AB.
This question is beyond his current ability to answer.
However, he did not give up. Under Ge Jun's training these days, the first thought that popped into his mind was no longer "I can't," but rather he tried to solve it.
Even if you can't solve it, you should still think about which knowledge point it tests and whether you can find a clue to the solution.
The question stem mentions a triangular pyramid, a perpendicular line, an equilateral triangle, and the angle formed by skew lines.
He hasn’t actually relearned these things yet, but he has some residual impressions of what he learned in high school in his previous life.
He first wrote on the blackboard: "Construct AE∥PC, then ∠BAE is the angle formed by PC and AB."
Then he got stuck.
He couldn't remember all the subsequent derivation steps, but he vaguely recalled that the cosine theorem was needed.
But he couldn't remember exactly how to use it or what transitional steps were needed.
The chalk stopped on the blackboard, making a soft "squeak" sound.
On the podium, Cao Wen looked at the line of writing on the blackboard and shook his head slightly.
He called Han Chuan up to test the current foundation of this rapidly improving student.
But now it seems that the student's foundation is much weaker than he imagined.
He sighed inwardly, and was just about to tell the other person to go down and study properly when Han Chuan, who was facing the blackboard, suddenly turned around.
"Teacher Cao, I still can't solve this problem."
"But I can explain my thought process."
The classroom fell silent for a moment after these words were spoken, and many students turned their curious and surprised gazes toward them.
On the podium, Cao Wen raised an eyebrow, glanced at Han Chuan with some surprise, and nodded, saying, "Okay, go ahead."
In his nearly ten years of teaching, very few students were called on to answer questions; in fact, almost no student would voluntarily ask to "explain their thought process."
Most students who can't do it will just lower their heads and say, "Teacher, I don't know" or "Teacher, I forgot," and then slink back to their seats.
Han Chuan turned to the side and pointed to the auxiliary lines on the blackboard.
"This question tests how to find the angle between skew lines. My idea and core solution is to translate the skew lines into the same plane and transform it into a plane angle to find."
"So I drew the AE∥PC line, just to translate it over here."
"But that's all I can do. The later derivations involve the Law of Cosines and the relationships between the sides and angles of a right triangle, which I haven't learned yet, so I can't write it all out for now."
After saying that, he put down the chalk.
Cao Wen remained silent for two seconds, then a smile appeared on his face.
He picked up another piece of chalk, continued writing the formula that Han Chuan had written on the blackboard, and then wrote down a few key steps. He then looked at the whole class and began to speak.
"Han Chuan is right. The core of this problem is indeed the translation method, which transforms a spatial problem into a planar problem."
"He drew the auxiliary lines correctly and found the direction for solving the problem. The subsequent side and angle calculations require the use of the Law of Cosines, which we just learned last week."
After finishing the remaining steps, Cao Wen turned to Han Chuan and asked, "What did you mean when you said you didn't learn anything?"
Han Chuan did not evade the question: "Teacher Cao, my foundation is relatively weak. I am currently catching up on math from junior high school. I haven't caught up on solid geometry yet, but I am trying my best."
Hearing this, Cao Wen paused for a moment, then looked at him with some surprise: "You mean you're relearning math from junior high?"
"Um."
Cao Wen glanced at him meaningfully, but didn't ask any further questions. He simply said, "Go down first, and come to my office after class."
Han Chuan nodded: "Okay."
Back in his seat, Li Hao immediately leaned over and whispered, "Holy crap, that's awesome. He can talk so much even if he can't do it. If it were me, I would have just pretended to be dead."
Han Chuan smiled and said, "It's nothing really, just say what's on your mind."
After a slight pause, he continued, "Teacher Cao won't say anything if you can't solve it; he'll explain it to you."
In fact, people are often slow to realize things.
Just like in school, most people are too embarrassed to tell their teachers "I don't know" and dare not ask them for help.
This stems from the proud yet cautious heart of a teenager.
I'm always worried that if the questions are too easy, I'll be criticized by the teacher or laughed at by my classmates, and I'm afraid of looking 'stupid' or 'not paying attention'.
Many students who "dare not ask" actually have very high expectations of themselves; this is a form of perfectionism and a false sense of independence.
They firmly believed that I should figure it out myself, and considered asking for help to be a sign of incompetence.
It is precisely this kind of "false independence" that makes people abandon the most efficient learning path.
This means making use of the social resources around you, such as teachers, classmates, and other people who can help you the most.
After graduating from school and struggling in society for a few years, people come to understand things, or rather, their former pride and caution are worn away.
But by then, it's often too late.
Han Chuan was once one of these people. His perfectionism and false independence made him afraid to ask the teacher questions, fearing that he would become that "stupid kid".
But after entering the workforce, he realized that most teachers actually enjoy being asked questions.
Even if you ask a very simple question, they will explain it to you carefully. At most, they will just say a few words to you afterward to remind you to pay attention in class.
......
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