This sudden attack made Lin Zhaoxi make two decisions.
First, continue to study hard.
Second, the work of "study hard" must be more confidential, and Lao Lin cannot discover more signs.
After the meal, Lao Lin took her to stand in front of the two tall bookshelves, and asked her five minutes later, "How do you feel?"
"It's a hard feeling."
"Judging from your meager knowledge reserve, what do you think is the difficulty of advanced mathematics?"
"It looks like a heavenly book." Lin Zhaoxi said honestly.
Lao Lin gave her a look of resentment.
But what Lin Zhaoxi said was true, and she even thought that many people, like her, find advanced mathematics difficult anyway, the kind of difficulty that can be difficult just by looking at it.
"Is all the beauty of mathematics that Dad taught you useless?"
"But it doesn't mean that these things can be simplified."
"Makes sense."
Lin Zhaoxi: "..."
Lao Lin turned to look at Pei Zhi: "What do you think?"
"It's okay." Pei Zhi said.
I mean, it looks ok...
Lin Zhaoxi and these two stood side by side in front of the bookshelf, the air was suddenly quiet for a while, and she finally understood: "Dad, do you know how to teach?"
Lao Lin gave a "smack": "No."
Lin Zhaoxi: "..."
"What kind of eyes do you have?"
"Why not?"
"I didn't do well teaching adults before."
Lin Zhaoxi thought that it turned out that she had failed teaching experience, but said, "Have you ever taught adults?"
"I lied to you."
After Lao Lin finished speaking, even Pei Zhi showed a thoughtful expression.
But Lao Lin himself refused to continue this topic. He took out a book from the bookshelf, found a secluded corner, and took them to sit down. The warm sunshine in the winter afternoon is pouring down, and the air is full of the stale smell of paper, but it is very comfortable.
"How did you teach Pei Zhi before?" Lin Zhaoxi looked at his father sitting opposite and asked.
"No teaching." Lao Lin was very honest, "He read the books by himself, did the questions, and basically understood everything."
This is the gap between ordinary people and geniuses, Lin Zhaoxi said very sadly: "Father, you can tell me anything, I can bear it."
"'Difficulty' is a level that cannot be precisely defined." Lao Lin became serious, "In mathematics, inaccuracy is fatal."
Lin Zhaoxi nodded, Lao Lin's switching speed was really fast, she sat up straight in no time.
"So the basis of advanced mathematics is not calculus or those complex formula definitions and their proof methods. The first thing you need to be familiar with is a more precise language."
Lin Zhaoxi kind of understood what Lao Lin meant: "We think it's 'difficult'. First of all, we are not familiar with the language of mathematics, just like children can't understand the words of adults, so they can't understand many problems."
"A child can be taught. I personally think that the problem may be here first."
"Father, you are so sharp." Lin Zhaoxi hurriedly flattered her.
"Your flattery is a bit unnatural." Lao Lin commented.
Lin Zhaoxi: "..."
"The three words 'precise' may sound 'difficult', but every important statement in mathematics is nothing more than the affirmation or negation of four language forms..."
"What?"
"Object a has property p. Every object of type t has property p. There is an object of type t with property p. If a is stated, then b is stated." Lao Lin finished speaking in one breath, with a look of completion, and asked: "do you understand?"
"I don't understand..." Lin Zhaoxi was confused.
"Congratulations, you now understand a little bit, what is the difficulty of understanding mathematical language."
"… thank you."
"You're welcome."
"You can't understand these four sentences immediately, so tell us the importance of practice in understanding problems in advanced mathematics." Lao Lin said, pushing the book he just took off the shelf, "connecting with elementary mathematics for Improving proficiency is not the same. The exercises in advanced mathematics are to help you better understand the problems. If you don’t do exercises or do less exercises, it will definitely not work.”
Lin Zhaoxi flipped through it in a daze, and found that it was a book about formal logic, with very little content, and a lot of exercises behind it.
The first part is about the exact expression of the language
Lao Lin felt a little regretful: "Of course this book is not very good. You can do whatever you want and ask me if you have any questions."
He was about to leave after speaking, Lin Zhaoxi hurriedly called him to stop.
"dad!"
"anymore question?"
"Then how do I learn?"
"This question is quite valuable." Lao Lin looked back at her and smiled, "I personally think that the way of learning advanced mathematics and even most subjects in universities should be self-study. In the guide, find a question that you can understand. Path, build your own knowledge system and keep climbing. Then answer a question: Among the countless interpretations of "what is mathematics", there is a sentence that says that mathematics turns the invisible into visible, how do you understand it? This sentence."
When Lao Lin said this, he pretended to say casually: "Anyway, you are going to Yongchuan to take the exam of the Mathematical Federation in a few days, and you will take part in the training camp by the way. If there is no accident, you will be training at Sanwei University. The books over there are good. I will give it to you." Make a list of books, and you can learn by yourself. You can do this book at will, and if you have any questions that you don’t understand, you can summarize them and ask me when the time comes.” After Lao Lin finished speaking, he said simply, “Then get out of class.”
Lin Zhaoxi finally understood why Lao Lin said that he was not very effective in teaching college students... But she immediately found the most critical question from that passage: "Wait... Are we going to Sanwei University for training?" She asked incredulously.
"Didn't I say that before?"
"No." Pei Zhi said very shamelessly.
"Then you know now."
"Why?"
"Old Zhang called to inform, don't you want to go and tell him?"
The level of Lao Lin's surprise was getting higher and higher. Lin Zhaoxi and Pei Zhi looked at each other for a while, unable to relax at all.
Lao Lin patiently explained again: "Have you ever done a paper on Yongchuan?"
Lin Zhaoxi subconsciously wanted to say "no", but suddenly remembered that they hadn't "did it", but often did the test papers sent from Yongchuan in Internet cafes...
"It is said that it is a selection test paper, right?" Lao Lin said, "Lao Zhang is still too ambitious, but you may as well go to Sanwei University to see what the higher education institution is like."
Lao Lin spoke quickly, and tried his best to appear indifferent, but Lin Zhaoxi could still feel a trace of unnatural and indescribable melancholy from his tone.
She even felt that Lao Lin didn't want her to go there, so he chose the most understated way in his subconscious to inform them.
—
Two days later, Lin Zhaoxi and Pei Zhi received a training notice letter from the Provincial Education Commission, which was sent to their home separately without going through the school.
She opened the letter and read it through, only to realize that it was not a short-term training camp, but a training camp that lasted for a whole year and used almost all of their vacations.
The first period starts on January 15th, the day after the math league exam, which means that they can live in Sanwei University with their luggage and don’t have to go home until the Spring Festival.
January 9th ~ January 12th - school final exam
January 13-14—National Middle School Students Mathematics League Examination
January 15th—the first training session begins
During the Spring Festival holiday from February 16th to February 22nd,
February 23~March 1 - the second training session
May 1st~May 7th—the third training session
June 10th—Anning City High School Entrance Examination
Lin Zhaoxi carefully arranged the timetable and found that her time was more tense than she imagined. In the past six months, she not only has to cope with the high school entrance examination, but also has to deal with the intensive training. More importantly, she has to learn advanced mathematics by herself, and she has to find a way to solve the problem of Lao Lin's car accident.
She thought she had clearly realized the problem of time urgency, but she found that the world never planned to keep up with the changes.