Genius Fundamentals

Lao Lin travels through the canteen hall and the back kitchen.

After a while, he took a bag and threw it on the table, making a loud noise.

The porridge has been finished, and a few of them stared at the bag and looked at the old forest curiously.

Lao Lin: "Stretch your hand."

A small palm is spread out.

Lao Lin opened the bag and couldn’t help but say, picking up something from the inside and putting it in their palms.

Yellow granules, round, actually soy beans.

"Look at the number." After that, Lao Lin continued to work.

All four of them were holding soybeans, and they looked awkward and a bit confusing.

But since Master said the number, then count it, so I took the lead and clicked.

The first one is very small, and soon they are all counted.

Lao Lin just finished the table and turned back with a rag. He asked, "What is the harvest?"

"My soybeans have 12!" Lu Zhihao said.

"I am 9!" This is the Hanamaki.

Lin is very happy: "I am more than you, I am 13!"

He did not speak, he arranged the beans in a row and looked up at Lao Lin.

Lao Lin did not speak, continue to give one person a cup of soybeans, turn around and wipe the table to work.

"What's the harvest?" Every time I turn around, Lao Lin will ask this question, but they have no serious answers.

Lu Zhihao carefully, in the order of the first line, the second line, the second line, put the old bean hair beans.

Hey, the old bean to the soybeans rounded up, a column of 10, 10 columns.

The flower roll, the flower roll is finished, and you can throw the soybeans into the light porridge bowl as you like.

A bag of soybeans is finally empty.

Lao Lin was finally finished and sat back: "Is the number of soybeans good?"

Nodding like garlic.

"Now, let's say you won't add, but I want you to tell me right away, how many soybeans do you have?"

Lin Shuxi bowed, just want to subconsciously count the sum of soybeans every time, just listen to Lao Lin.

She then quickly went to point out how many rows of soybeans she had. She is 10 rows of 10 soybeans, a total of 11 columns, zero, so it is 113.

"125." Yu Zhi has already finished the answer.

Lin Zhaoxi went to see the sly, and I arranged a horizontal 10 vertical 10, a total of 100 soybeans square, the remaining 2 columns and 5

Lu Zhihao stunned his own soybean triangle for a long time. There was really no way to start, and the lines 1, 2, 3, 4, and 5 were honestly counted.

Hanako single-handedly squatted, only looking at the pile of soy beans he threw in the porridge bowl.

"Congratulations, repeat the process of the earliest birth of mathematics." Lao Lin laughed, "Do you want to applaud yourself?"

Lao Lin’s jokes are very cold. Each of them looks at their own soybeans and can’t speak.

Until the flower roll was full, everyone was awake.

Lao Lin asked: "Is there any problem?"

"Ah?" Lu Zhihao looked up. "What did you just say?"

"I said that the earliest process of mathematics was very great and ingenious. Do you cooperate with me and give yourself a drum applause?"

Each of them, including 裴, continues to be sluggish.

"Come on, let's imagine that in the beginning of the development of human society, everyone was still wearing a tiger-skin skirt, oh oh oh, when dancing around the fire, of course, there was no addition, subtraction, multiplication and division, even 123456789... Nothing." Lao Lin learned the wild man to shoot the chest, causing the children to giggling.

"Every day, primitive humans have to go hunting, or they can't live. At first, everyone is hunting, and no matter how many small animals they play every day, but one day, the flower roll can't be found. He said I have to remember. How many prey are there every day, or what should I do if Lu Zhihao comes to my house next door?"

"So, he began to engrave on the wall, every cockroach, representing how many prey was hit today."

Lao Linbian said, putting a soybean in front of the flower roll, compared to the engraved movement, and learning the sound of the flower roll: "Today, so many chickens."

He put down a few more pieces, and the delegates carved a few more words: "Tomorrow, so many ducks."

Repeated this several times, the number of soybeans in front of the Hanamaki has been countless.

"Oh, the problem is coming! Suddenly, one day, Hanamaki wants to know how many prey he has played. When he returns home, he sees the whole wall... collapsed."

Lao Lin said, shaking the entire bowl of soybeans, and letting them rustle in the bowl, symbolizing the disorderly counting of the entire wall of the Savage.

"Uncle, how are you childish!" Hanamaki protested.

Of course, childish, Lin Xiangxi thought, this is the story I heard when I was five years old.

Lao Lin put down the bowl and suddenly became serious: "The problem of the flower roll is not only the problem of the flower roll, but also the home of many people in the tribe. The hominid humans always face various problems in daily production and life, but they do not count. Like you are so happy now, they don't even have ready-made numbers available.” Lao Lin touched Lu Zhihao's head. “So, in order to solve the problems of many “innumerable” and “not sure” in production and life, they began to create. ”

Lao Lin’s hand moved to the triangle of soybeans in front of Lu Zhihao, and the fingers were clicked from each row of soybeans. The tone was very solemn and solemn: “The process of digital generation is probably the same.” Lao Lin said, “If you are fortunate enough to see the ancient Babylonian period In the clay version, he will find that he used a pen with a triangular cross section to engrave it. We now call it a cuneiform text. People at that time used a notch to indicate our current number '1', two nicks Indicates our current number '2', and so on, but by the time of '10', they have a new counting symbol."

Lao Lin drew a "<" on the table.

"It grows like this, please note, students, this is a great leap in human civilization, using symbols to count, representing more great arithmetic, coming soon..."

Lao Lin is talking about rising, dancing and dancing, and will immediately shift his gaze to the third group of soybeans.

At this time, Lu Zhihao suddenly asked: "Uncle, have you seen the mud version?"

Lao Lin’s hand suddenly stopped in the air. He resumed for a while before looking down at Lu Zhihao and anger: “Is this the point?”

"I feel so good." Lu Zhihao looked at Lao Lin slyly. "I really want to see you."

"I also think, it's amazing~"

This sentence is not from the four of them. I don't know when, Lao Lin gradually surrounded a few children they didn't know.

At the beginning of those children, they were watching what Lao Lin was doing. But gradually, they are quiet, very serious to listen to Lao Lin story.

The incandescent lamps in the cafeteria are still splendid, and the ones in front of them are still the countless soy beans and the porridge bowl that has not been taken away.

Mathematical is stripped of the seemingly difficult cloak by Lao Lin, becoming a process that is pure and simple, uses creative thinking to solve problems, and is closely related to the evolution of human civilization.

Lao Lin is constantly telling stories. From the birth of counting to the birth of calculations, from the addition and subtraction of decimals to multiplication and division, every time, he is very simple to play with the use of soybeans in front of the eyes, to restore the specific behind the abstract numbers.

In the end, he even took them with a sticker and made a cube made up of 1000 soybeans.

Extremely abnormal.

Finally, Lao Lin said: "In fact, at the beginning of mathematics, it is closely related to the reality of countless human beings. There are not so many high-level tools, just like counting soybeans without adding, dividing things without division, just like humans. There will always be such a long river in front of you, hindering the progress, what to do if you can't go through it, it's very simple - bridge. So the numbers appear, the arithmetic appears, algebra, geometry have appeared..."

Lao Lin began to clean up the beans on the table and smiled.

"For tens of thousands of years, our predecessors, using their bridges a little, have led us from the era of Ru Mao and blood to the current civilized society. And they have found countless formulas, axioms, definitions, proofs, to our hands. It becomes the mathematical tool we use now."

"It is the teacher toss our stuff!" The old boy behind the old forest grabbed the white.

"That's right!" Lao Lin bounced his forehead with his fingers and smiled. "Do you like a car?"

"like!"

“Do you like driving?”

"I won't open!"

"I won't learn." Lao Lin put the soybeans back into the bag. "You are going to class at school now, doing the problem, just learning how to drive."

"If I am not interested in learning to drive!"

"That's no problem at all." Lao Lin said, "But you always have a good master to take the hand, touch two good cars, and then drift in the corner, tried all over, and said that you don't like it, right? ”

Lin Chaoxi grinned: "What do you mean, the most important thing is to have a good old driver."

Lao Lin patted his chest: "That is natural."

"So what about the Olympics?"

"Olympic." Lao Lin blinked and said to him, "The following is my personal opinion. Olympiad is to let you face the difficulties, give up those high-level tools, try to use breakthrough thinking like countless sages. Solving the problem is like a warrior holding a small wooden sword fighting dragon. Every time a problem is solved, it is great enough."

“What's more interesting is that maybe one day, when you walk a distance in the field of mathematics, you will see your own long river. At that time, you may need to take out your own axe, cut trees, build the first A man who made the bridge and walked through the river. And all these trainings will make you here." Lao Lin pointed his head and pointed his finger, "more capable, command here."

Lao Lin said that he should stop here, but he still said: "But please don't take the last 'maybe one day' as the meaning of your study of the Olympic number, it will lose a lot of fun, after all, mathematicians now study mathematics, mainly because……"

"Because bored..." Hanamaki drags long tones

Lao Lin was shocked: "How do you know!"

"I said it!" The flower roll was sprayed.

All the children in the room laughed together.

——

They left the cafeteria and were driven away.

Lao Lin carried simple luggage, and the canteen supervisor arranged a temporary dormitory for him, which was not in the same direction as the small villa they lived in.

After the rain, the night is fresh, the moon star is thin, his figure is swaying and disappears at the end of the path.

Hanako walked back for a long time and suddenly remembered something: "Well, I was fooled by my uncle for one night, and I didn't see anything to be tested tomorrow!"

"Will you go back to read a book?" Lu Zhihao asked.

"You haven't seen it yet?" The flower was shocked.

"Now... I think I can see it again?"

"That rush!" Lin shouted, "Dragon!"

She shouted and found that no one was quietly watching her.

"Dry...what."

Lu Zhihao: "Lin, this joke is a bit cold."

Hanamaki: "You can actually shout out this line, very shameful."

"Really." This is what it is.

The voice of the singer just fell, and the three of them looked at each other and began to run wild.

The laughter of the youngsters came from the night, and some people turned back and shouted at her: "Before you go to the dormitory!"