It rained that day.

The rain in November is really unusually cold.

The wiper slowly swept back and forth, leaving two fan-shaped marks on the front windshield. The raindrops added random water stains on it, and the next moment it was wiped away again.

When Jiang Lili was driving, her eyes would occasionally be drawn to the wiper. The raindrops outside the wiper range would always linger on a certain corner, and she would be a little dissatisfied. Until in her peripheral vision, the few drops of water collided and gathered, forming a A large stream flowed down in an irregular line and hit the wiper, which made her feel better.

But in general, the focus is still on the road ahead.

She thought that she was already a mature female veteran driver, she could do two things at once, and her steering wheel was so stable.

Feeling a little proud, he raised the corners of his mouth slightly and hummed softly. He thought about it again and thought of the posture of those old drivers holding the steering wheel with one hand and touching the gear lever with the other. He felt very handsome. Taking advantage of the wide view in front, there was not a single car on the road. , then he held the steering wheel with his left hand and reached for the gear lever with his right hand.

Yi Yang, who was next to him, noticed her action and asked strangely: "Isn't it an automatic car?"

Jiang Lili took her hand back in embarrassment and said without blushing, "Well... you know, you're used to driving a manual transmission."

She still feels that people who can drive manual transmissions are cooler than people who can only drive automatic transmissions.

Wang Sangning leaned over from the back seat and asked innocently: "Sister, have you ever driven a manual transmission after leaving the driving school?"

Jiang Lili: "..."

"Haha..." Yi Yang couldn't help laughing.

Jiang Lili glanced at Yi Yang quickly, then turned to stare at the road ahead and murmured: "You can even get this point?"

"I've had similar emotions..."

Jiang Lili was speechless.

Because I made an appointment directly with the driving school master to meet at the examination room, this was not the direction to go to the driving school at this time.

The road to the examination room is wider than expected. There are not many cars on the road. The view is wide and the mood is inexplicably bright. Although it is raining outside, it does not affect the interest of the people in the car at all.

Wang Sangning was sitting in the back seat, leaning her head against the window to look at the scenery outside, feeling a little lost in thought.

At this time, the car turned a corner and turned into a branch road. There were more cars on the left and right, and Jiang Lili became serious and no longer took the initiative to talk to Yi Yang and the others.

Yi Yang went to talk to Wang Sangning.

"Come out and get some air, you should feel better, right?"

"Um?"

Wang Sangning was stunned, and quickly realized that Yi Yang was talking to her, and responded cheerfully: "I can't say that I am in a bad mood, but I am still very happy to be out."

Jiang Lili turned on the turn signal, looked at Yiyang's rearview mirror, slowed down and drove towards an intersection.

After this section of the road, the road became empty again, but the rain seemed to be a little heavier. Jiang Lili frowned, lowered the speed again and again, and raised the speed of the wiper again and again.

Wang Sangning stared at the rain outside the window for a while, then suddenly glanced at the green plants on the roadside, and asked quietly: "Yi Yang, how should I study science?"

Yi Yang's eyes moved, but he didn't look back. Instead, he thought about it and asked, "How do you usually learn?"

He has been giving Wang Sangning extra lessons, but what he can do is mostly limited to answering questions.

Each person's understanding ability, study habits, and knowledge reserves determine it. It is still necessary to explore a learning method that suits you based on correct ideas.

While Wang Sangning was thinking, Yi Yang added: "Learning is actually two major actions when viewed separately, absorbing knowledge and applying knowledge, so you can talk about how to absorb knowledge points and how to apply knowledge. of."

Wang Sangning was thoughtful.

When Jiang Lili heard the two of them starting to chat about studying, she smiled softly and concentrated on driving without disturbing them.

"Well... your question is a bit abstract. How to absorb knowledge? Just listen to the teacher in class. But because my foundation is relatively poor, as you know, when the teacher is in class, I often encounter some things that I don't understand. Then I will ask you, and sometimes I will ask Wen Xiao, anyway, I just want to understand..."

"The method you told me about last time, using reasoning to build a knowledge system, is still a bit difficult..." Wang Sangning sighed. In fact, it's hard to describe what exactly is difficult.

"As for how knowledge is used, I don't quite understand what you mean. Anyway, I have been doing questions. I know and remember many formulas, but when I encounter more complicated questions, I still can't use them. I have Sometimes I wonder if I am too stupid.”

"No, you're not stupid." Jiang Lili said at the right time.

Wang Sangning smiled: "There are some questions that make my head spin, but every time Yi Yang takes a few glances, he can come up with weird solutions to those questions..."

Yi Yang was silent and suddenly realized what was wrong with Wang Sangning.

Like many students who have trouble studying science, the crux is that they simply don’t know how to learn.

They work really hard and study hard every day, but their scores are always stuck in the early 500s and cannot improve. It is really not a matter of hard work or not.

Yi Yang carefully thought about his experience in studying several science subjects and tried to analyze and summarize some of the inspirations.

Wang Yangming can summarize the laws that can guide all principles of action, or the methodology of "unity of knowledge and action"; comrade teachers can also summarize the "big principles" that guide the revolution.

Studying science, such a targeted thing, will definitely lead to a methodology that can be directly used.

Wang Sangning noticed that Yi Yang had stopped talking and shouted curiously: "Yi Yang?"

Yi Yang looked back at Wang Sangning and said with a smile: "Sang Ning, that's good. I'll teach you mathematics, physics, chemistry, and biology."

"Ah?" Wang Sangning was stunned, and then said with a smile: "Aren't you always teaching me?"

Yi Yang shook his head: "No, what I'm talking about here is starting from the basics, in a quantifiable way, to help you learn."

"One of the frustrating things about science is that it's hard for you to know how much you've learned, especially for people like you who... well, have great potential. You don't even know what's wrong with you. Where, so there’s no way to talk about improvement, right?”

Jiang Lili couldn't help but laugh: "Does your school always refer to scumbag students as people with great potential?"

Yi Yang: "..."

Wang Sangning said: "Sister, please don't interrupt."

"Saori Saori, you continue."

Yi Yang continued: "I have thought of a method, which is divided into three steps. If you follow me in these three steps, I am sure to improve your score."

Wang Sangning blinked: "Huh?"

Jiang Lili also glanced at Yi Yang with some doubts.

Yi Yang was a little serious, but also serious: "Let me briefly explain the three steps. If you think it makes sense, I will take you to do it together."

Wang Sangning's breathing became rapid, her eyes brightened, and she nodded seriously: "Yes."

“First we need to understand a core question: why is science difficult?”

"Because it's abstract!" Yi Yang spoke directly without waiting for Wang Sangning's reply.

"But the next question comes again, what exactly is science abstract?"

Wang Sangning was startled.

Yi Yang continued: "It's a conceptual abstraction!"

“The first step we need to take is to understand all the concepts!”

“Many students actually don’t even understand the concepts.”

“What is difficult to understand in the concept?”

Wang Sangning blinked.

"It's the definition."

"The number of definitions is certain, so we can quantify how many concepts we understand. If there are 200 concepts and you understand 140, that's 70%. It's clear at a glance, right?"

"But how do we tell whether you understand a definition?"

"It's very simple, just give me an example."

Wang Sangning's eyes lit up: "Give me an example?"

Yi Yang nodded: "Yes, just give examples and turn abstract things into concrete things. As long as you can express and describe the abstract concept through specific examples, it means you have really mastered it."

"And for this process, we have to combine it with textbooks."

"For example, the definition of a vector is a quantity that has both direction and magnitude. This sentence is abstract, right? Just give an example. For example, a 5-kilogram brick goes vertically downward. It has a direction and a magnitude. This It’s called a vector… This is a very simple definition and easy to understand, right?”

"Let's take a slightly more complicated example. For example, projection. The concept is that the vector AB takes point A and point B respectively as a vertical line on the vector CD. The vertical foot is A1B1. This A1B1 is where AB is. Projection on vector CD, but this concept is too hard to pronounce, how can I give an example?”

"You can understand projection this way. Take a beam of light and shine it vertically on a wall. If there is a painting on the wall, you take a pen and place it in front of the light. The shadow of the pen cast is an image model of the projection. , if you understand it this way, you will immediately construct a structural diagram of the projection in your mind, right?"

"The way of giving examples does not have to be verbal. Sometimes, you can also use gestures. As long as you can describe the abstract definition in a vivid way, it means you really understand it."

“As a first step, we try to go through all the definitions this way.”

Wang Sangning felt that this method was very practical, and she became excited. She nodded repeatedly, "Yeah, yeah, yeah..."

"Except for some idealized models, such as particles, rigid points, point charges, etc., it is difficult to concrete and visualize, and can only rely on pure understanding, but for most concepts, we can basically use this Let’s go through the process again.”

"If you can accept it, in the next period of time, you can use examples to...well, let's talk to Sister Jiang so that she can understand those concepts and definitions, which means you fully understand that concept. .”

Jiang Lili was slightly startled: "Ah? Me? Can I?"

Yi Yang smiled slightly. In fact, this is also a specific operation form of Feynman learning method.

Wang Sangning nodded. She felt that this method was very reliable, and she felt a little cheered up.

Good guy, he was ignored... Jiang Lili stepped on the accelerator.

Wang Sangning nodded and asked, "What happens after the first step is completed?"

Yi Yang said: "Still relying on the textbook, when we basically master all the concept definitions, the score may not get higher immediately, but it can be regarded as laying a foundation. Above this step, all we have to do is derivation. "

"Derivation?"

Yi Yang is a little serious, which is exactly what he has been doing.

"You must have memorized a lot of second-level formulas, right? But for many formulas, you don't know where they came from. This won't work. After completing the first step, the next step is to derive it independently based on the first step. Those secondary formulas.”

Yi Yang smiled slightly: "Of course I describe these two steps very simply, but if you actually do it, the workload is still very large, especially when deriving some of the second-level formulas, the difficulty is not any easier than simply doing the questions. And it’s very likely that because of the long span of time, you’ll master the later ones but become unfamiliar with the earlier ones.”

"But it doesn't matter. What this process improves is your ability. Knowledge is a reserve and you will forget it, but ability is different. Ability is a physiological function. Your way of thinking has changed, and you may even do it often. The brain The structure of the body will also undergo some changes, such as the growth of new synapses on the nerve endings of a certain area that is frequently exercised..."

"My math, physics and chemistry scores will definitely improve."

Wang Sangning felt dizzy, but her heart was excited.

Jiang Lili was a little funny when she heard the pie that Yi Yang drew for her sister, but she had to say that even she could understand the learning method Yi Yang described, and she also found it very practical. She smiled slightly: "Okay, I am very pleased to see you two so full of energy, so I will help you, Sang Ning, just like Yi Yang said, you are responsible for explaining things to me."

Wang Sangning's chest felt warm and she nodded: "Thank you."

The rain gradually lightened up.

The car gradually drove into an industrial park. The roads here were spacious. From time to time, one or two driving test cars were seen driving slowly on the road. Jiang Lili passed by and looked sideways. He could still see The driving test candidate in the car squeezed the steering wheel nervously.

The car drove for a while and finally reached its destination.

After the three people got out of the car, the rain had not stopped.

Jiang Lili and Wang Sangning found seats in the examination hall.

Yi Yang said to Jiang Lili: "If I get my driver's license today, let me drive."

Jiang Lili said: "As agreed, if you get your driver's license, I will give you a gift."

Yi Yang thought for a while and asked, "Can I choose the gift myself?"

Jiang Lili thought for a while and said, "No."

"Why?"

Jiang Lili snorted: "It just doesn't work anyway."

Wang Sangning glanced at Jiang Lili, her eyes twinkling, and said to Yi Yang, "Whatever my cousin says, just do it. You have to work hard! I'm also looking forward to seeing what gifts my sister will buy for you."

After Yi Yang left, Wang Sangning approached Jiang Lili and asked curiously: "Sister, what gift did you buy for Yi Yang?"

Jiang Lili was stunned, because what Wang Sangning said was not "what do you want to buy again", but "what did you buy".

She couldn't help but silently glance at Wang Sangning. This sister who seemed a bit natural and stupid actually knew everything in her heart.

Jiang Lili thought for a while, then whispered something into Wang Sangning's ear.

Wang Sangning was stunned.

"This...sister, you..."

Jiang Lili smiled and said, "But I can't give it to him yet."

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