Liu Zhiyuan concentrated on writing and drawing on the manuscript paper, and immediately had two different ideas for solving the problem.
Taking advantage of the gap in thinking, he looked around the entire classroom. Everyone immersed themselves in the questions again, or scribbling, or concentrating on thinking, while the junior high school students in front looked at them with curious eyes.
Liu Zhiyuan didn't know how long it took the little girl in front of the podium to solve this problem, but he decided not to wait any longer. To save time, he raised his hand in advance.
Teacher Xie blinked: "What's the matter with this classmate?"
Liu Zhiyuan stood up: "I have already got the answer."
Many people put down their pens, and the whole class looked at him one after another.
"This student is very motivated to learn, can you tell me about the process?"
Liu Zhiyuan broke out in a cold sweat at the moment. In fact, he didn't really perfect the problem-solving process.
"How long did it take Lin to come up with the answer?" He forced himself to ask calmly.
"Is it more than three points?"
Liu Zhiyuan's brain started to work crazily. He had to come up with the answer immediately. The easiest way was enumeration. He held his breath for a moment, then his eyes lit up, and he said, "4."
There was a moment of silence in the class, and then there was a small commotion among the junior high school students.
Liu Zhiyuan looked at Teacher Xie nervously, wondering if he was right or wrong, but the other party showed no expression on his face, and his heart sank.
"Come to the blackboard and write about the process." Xie Ran said.
Liu Zhiyuan walked stiffly to the blackboard, and when he got close, he could see the chalk prints that had just been erased on the blackboard, with the formulas just written on the blackboard on it, which was very close to his first thought, which was still to take mold.
Liu Zhiyuan felt relieved.
He couldn't help turning his head to look at the little girl behind him.
It was just his subconscious movement, but when he looked, Lin Zhaoxi took half a step back, her dark eyes flickered, but she deliberately avoided his sight.
Liu Zhiyuan felt underestimated, but under the current situation, he could only turn his head to look at the blackboard, pick up the chalk, and switch to the second method, setting unknowns, formulating equations, taking modulus, and solving...
On the blackboard, formulas are written line by line, and the solution process is gradually completed.
But the more he wrote, the more Liu Zhiyuan felt the problem. He turned his back to everyone, but the voice in the classroom was getting louder.
His nose was sweating, and even his hands were shaking. He knew that he had made a mistake.
After writing the last answer, he put down the chalk heavily.
"The process is still very good." Teacher Wan of their high school department praised.
"The thinking is very clear." Teacher Xie also said.
Liu Zhiyuan rubbed the sweat on the tip of his nose with the back of his hand: "It's hard to say, I was wrong, the answer should be 2."
He was about to step down after speaking, but was stopped.
"Student Liu, would you like to analyze why you made a mistake?"
Liu Zhiyuan was a little angry, which seemed like a naked humiliation, but he still answered the question: "I calculated too quickly, and I didn't subtract my brother's money."
"Why didn't you subtract your brother's money?"
"Because... because..." It was difficult for Liu Zhiyuan to answer why he didn't, but he did miss something in the process of thinking.
"Did you gain anything from this mistake?"
"This is just an interesting math problem. "The focus of this interesting problem is on modular calculations..." When he said this, he suddenly felt a little problem. Why did a training team like theirs start with an interesting problem.
Sure enough, Teacher Xie asked, "What does Lin Zhaoxi think?"
The little girl had a "stop acting" expression on her face, and said, "You have already said it just now... the focus is on mathematical thinking and mathematical language..."
"Oh, you discovered all of this." Teacher Xie joked.
At this point, Liu Zhiyuan suddenly felt that he had been tricked.
Teacher Wan was also a little angry: "What does Teacher Xie mean?"
"The meaning is very simple. For everyone, this question is not difficult, but it is an error-prone question. Under pressure, you will abandon the precise mathematical language and be forced to use a more tricky way to think about the problem. For example, I started by trying to see if 5 yuan per sheep would work... But in mathematics, inaccuracy can easily lead to mistakes."
"You mean I answered 4 earlier because I didn't have a formula?"
"It's not just the formula, but the way of thinking here." Xie Ran nodded between his eyebrows, and continued, "The next question is this: Students from two schools have solved the math problem on the blackboard. Please judge whether this statement is correct or not. Question?"
"There are questions, students from more than two schools, we have answered them!"
"There are others!"
It was the turn of the group of four from Yongchuan Middle School sitting in the front row to bluff again.
The class became a little more lively, and the high school students sitting in the back were also relieved from their initial tense state.
"Everyone can think about this answer." Xie Ran looked at Liu Zhiyuan first, "Are you interested in answering first?"
Liu Zhiyuan replied very seriously: "This sentence is ambiguous. The students of the two schools can be understood as me and...she..." Liu Zhiyuan glanced at Lin Zhaoxi and continued, "a. We are students from two different schools. Solved the problem on the blackboard; b. The two of us are students in the school, and we solved the problem on the blackboard."
"What about you?" Xie Ran was noncommittal, and asked Lin Zhaoxi again.
"If you ask me this question, I don't think there is much problem with this sentence in the current situation; but if it is not in this situation, it is almost the same as Liu's answer."
"You see, this creates a problem."
It was completely different from Liu Zhiyuan's imagining that the teacher had to evaluate whether the answers were right or wrong. Xie Ran picked up the chalk, wrote the question he just asked on the blackboard, and then said seriously, "Because we have scenarios to support our actual oral dialogue and thinking, for the sake of simplicity, we will omit some things, but this sometimes It also affects our written language and thought processes to become less precise."
When hearing the word "precise", Lin Zhaoxi looked up at Xie Ran.
This content sounded too familiar to her, and she always felt that the syllabus of the training team might still be written by Lao Lin.
And it is completely different from the situation in elementary school where the exams were taken as soon as they arrived. This time, the joint training camp of junior high school and high school is more vigorous and vigorous, and they will go to class as soon as they come.
"It's like the process of your quick problem solving just now, or this sentence..." Xie Ran tapped on the blackboard and said, "When you hear this sentence now, you don't think it's a problem. But if it's printed on On paper, read by someone who is not in the classroom, there will be ambiguity. And mathematics... The precision of mathematical language is very important. It not only ensures that you have a solid foundation for doing mathematical calculations and related arguments; The content will not cause ambiguity in dissemination."
When Xie Ran said this, Liu Zhiyuan noticed that Lin Zhaoxi had walked back to her seat at some point, and most of the students in the classroom began to listen carefully.
There was no sound in the classroom, and he hurried back to his seat.
"Mathematicians have spent a long period of time almost equal to human history to establish a relatively precise symbolic language system. What we will learn below..."
"Mathematics Symbol?"
"formula?"
"how to prove?"
The students sitting in the front row rushed to answer.
"No, it's Chinese."
—
In the cafeteria of Sanwei University, only a few windows are open during the winter vacation.
Lin Zhaoxi was lying on the dining table, picking up lunch, observing the slogans in the cafeteria, and writing them down with a pen. Near her, many students from their training team were doing similar things.
This is their after-school homework for this "Chinese class", to find out the irregularities in the daily language and rewrite it in more precise language.
Lin Zhaoxi wrote down two short sentences in the notebook.
Suddenly someone took a plate and sat down beside her.
"Braised beef?" Xie Ran asked while looking at what was written in her notebook.
Lin Zhaoxi quickly covered the answer.
In the amazing book she borrowed from the library, someone in the corner specifically discussed "canteen ambiguity". She happened to see the name of this dish just now, so she subconsciously wrote it down, and after tasting it, she really felt...a bit delicious...
Lin Zhaoxi: "Most recipes are ambiguous, for example, "braised beef in brown sauce" can refer to both 'the act of braising the beef' and 'a dish'. "
"Don't you think it's a dead end?" Xie Ran glanced vaguely at the corner of the cafeteria. Although Xie Ran had talked so much, some people still didn't understand why mathematics training required "Chinese" homework.
Lu Zhihao: "We've done all the tricky things."
Pei Zhi saw through it directly: "Fortunately, Master has always been like this."
Zhang Liang: "Hehe."
Lin Zhaoxi stuck the lion's head with chopsticks, Xie Ran turned to look at her, and said sincerely, "I envy you for having such a father."
"Don't be envious, you can't see me when I'm tired."
Hearing this, Xie Ran couldn't help laughing, but he didn't continue his pre-class questions.
Lin Zhaoxi looked at him with a tacit smile, knowing that he also accepted the fact that Lao Lin would rather write the syllabus than come to Yongchuan University to teach, and decided not to pursue further.