It started to rain on this day.

The rain in November was unusually cool.

The wipers swept back and forth slowly, leaving two fan-shaped marks on the front windshield, and the raindrops were haphazardly added to the water stains, and the next moment they were scraped off again.

When Jiang Lili was driving, her eyes would occasionally be attracted by the wipers, and the raindrops outside the range of the wipers would always lie on a certain corner, and she would be a little dissatisfied, until in the afterglow, those few drops of water collided and converged, forming a large stream, flowing down an irregular line, hitting the wipers, and she was more comfortable.

But overall, the eye is still on the road ahead.

She thought that she was already a mature female old driver, with two minds, and the steering wheel was so stable.

A little proud, the corners of his mouth rose slightly, hummed softly, and thought about it again, thinking 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.

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

Jiang Lili took his hand back with some embarrassment, and said without a red face and a heartbeat: "That...... You know, I'm used to driving a manual transmission. ”

To this day, she still thinks that people who can drive manual transmissions are cooler than people who can only drive automatic transmissions.

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

Jiang Lili: "......"

"Haha......" Yi Yang couldn't help but laugh.

Jiang Lili quickly glanced at Yi Yang, then turned around and stared at the road ahead, muttering, "You can even get this kind of point?" ”

"I've had similar emotional ......"

Jiang Lili was speechless.

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

The road to the examination room is more spacious than expected, there are not many cars on the road, the field of vision is broad, the mood will be inexplicably open, although it is raining outside, but it does not affect the interest of several people in the car.

Wang Sangning sat in the back row, leaning his head against the car window and looking at the scenery outside, a little distracted.

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

Yi Yang went to talk to Wang Sangning.

"If you come out and breathe, you should feel better, right?"

"Huh?"

Wang Sangning was stunned for a moment, quickly realized that Yi Yang was talking to him, and responded happily: "I can't say that I am in a bad mood, but I am quite happy to come out." ”

Jiang Lili turned on the turn signal, looked at the rearview mirror on Yi Yang's side, 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, and lowered the speed of the car again and again, and the speed of the wiper was raised again and again.

Wang Sangning stared at the rain outside the window for a while, and suddenly swept his eyes over the green plants on the side of the road, and asked faintly: "Yi Yang, how should I learn science?" ”

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

He has been giving Wang Sangning a make-up lesson, but what he can do is more limited to answering questions.

Everyone's comprehension ability, learning habits, and knowledge reserve determine that it is necessary to explore suitable learning methods on the basis of correct thinking.

When Wang Sangning was thinking, Yi Yang said: "Learning this matter, in fact, is two major actions separately, absorbing knowledge and using knowledge, so you can talk about how to absorb knowledge points and how to use knowledge." ”

Wang Sangning was thoughtful.

Jiang Lili heard the two start to talk about studying, smiled lightly, and concentrated on driving, not bothering them.

"Hmm...... Your question is a little abstract, how to absorb knowledge, is to listen to the teacher's lectures in class, but because my foundation is relatively poor, you also know, so when the teacher is in class, he often encounters some things that he doesn't understand, and then he will ask you, and sometimes he will ask Wen Xiao, anyway, I just understand......"

"The kind of method you told me last time, using reasoning to construct a knowledge system, is still a little difficult......" Wang Sangning sighed, in fact, it is really difficult to describe the specific difficulty.

"As for how knowledge is used, I don't quite understand what you mean by this question, anyway, I've been doing problems all the time, I know and remember many formulas, but when I encounter a more complex problem, I still can't use it, and I sometimes wonder if I'm too stupid."

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

Wang Sangning smiled: "There are some questions, I think of them so much that my head is broken, but every time Yi Yang looks at them a few times, he can come up with the strange ways to solve those questions......"

Yi Yang was silent, and suddenly he was a little sudden, he suddenly realized what was wrong with Wang Sangning.

Like many students who have a headache studying science, the crux of the problem is that they don't know how to study at all.

They work really hard and study hard every day, but their scores are always stuck in the early 500s and they can't go up, so it's really not a matter of hard work or not.

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

Wang Yangming can summarize the laws that can guide all the principles of action, or the methodology "unity of knowledge and action"; The comrades of the teachers were also able to summarize the "great principles" that guided the revolution.

Studying science, such a targeted thing, will definitely be able to summarize the methodology that can be directly started.

Wang Sangning found that Yi Yang was no longer talking, and shouted curiously: "Yi Yang? ”

Yi Yang glanced back at Wang Sangning, and said with a smile: "Sangning, that's good, I'll teach you to learn mathematics, physics, chemistry and biology." ”

"Huh?" Wang Sangning was stunned for a moment, and said with a smile: "Haven't you been teaching me all along?" ”

Yi Yang shook his head: "No, what I'm talking about here is the kind of way that starts from the basics and can be quantified to take you to learn." ”

"One of the frustrating things about science is that it's hard to know how much you're learning, especially for your kind of ...... Well, people with a lot of potential, you don't know where you're bad at all, so you can't talk about promotion, right? ”

Jiang Lili couldn't help laughing: "Do you all call scumbags in your school people with great potential?" ”

Yi Yang: "......"

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

"Sao Rui Sao Rui, you go on."

Yi Yang continued: "I have thought of a method, divided into three steps, you follow me to do three steps, I am sure to make your score improve. ”

Wang Sangning blinked: "Huh? ”

Jiang Lili also glanced at Yi Yang with some confusion.

Yi Yang was a little serious, and he was also a little serious: "I'll briefly talk about the three steps first, if you think it makes sense, I'll take you to do it together." ”

Wang Sangning's breathing became a little short, her eyes lit up, and she nodded seriously: "Hmm." ”

"First of all, we must understand a core question, why is science difficult?"

"Because of abstraction!" Without waiting for Wang Sangning to answer, Yi Yang spoke directly.

"But the next question arises, what is science abstract?"

Wang Sangning was stunned.

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

"The first step we need to do is to understand all the concepts!"

"Many students actually can't even understand the concept."

"What's the hard thing to understand in the concept?"

Wang Sangning blinked.

"It's the definition."

"The number of definitions is determined, so how many concepts are understood, we can quantify, if there are 200 concepts, you understand 140, that's 70%, at a glance, right?"

"But how do we know if you understand a certain definition?"

"It's simple, give an example."

Wang Sangning's eyes lit up: "For example? ”

Yi Yang nodded: "Yes, it is an example, turning abstract things into concrete things, as long as you can express and describe abstract concepts through concrete examples, it means that you have really mastered it." ”

"And this process, we have to do it in combination with the textbook."

For example, for example, the definition of a vector is a quantity that has both direction and size, and this sentence is abstract, right? For example, a 5-kilogram brick goes vertically downward, with a direction and a size, which is called a vector...... It's a very simple definition, and it's easy to understand, right? ”

"Let's change to a slightly more complex example, another example, projection, its concept is, vector AB, respectively with point A and point B, as the perpendicular line on the vector CD, the perpendicular foot is A1B1, this A1B1 is the projection of AB on the vector CD, but this concept is too awkward, how to give an example?"

"You can understand projection in this way, take a beam of light and shine it vertically on a wall, and when you draw a pen on the wall, you take a pen and put it in front of the light, and the shadow of the pen is a model of the projection, and if you understand it this way, you will suddenly build a projection structure diagram in your mind, isn't it?"

】

"The way of giving examples does not have to be dictated, sometimes, you can also use the method of analogy, as long as you can describe the abstract definition in a visual way, it means that you really understand."

"In the first step, we tried to go through all the definitions in this way."

Wang Sangning felt that this method was very operable, and she was also excited, and nodded again and again, "Mmmmmmmmmmmm......mm

"Unless some idealized models, such as particle points, rigid points, point charges and the like, are difficult to concretize and visualize, and can only rely on pure understanding, but most of the concepts, we can basically go through them in this way."

"If you can accept it, in the next period of time, you give ...... by example Well, let's talk about Sister Jiang, so that she can understand those concepts and definitions, which means that you fully understand that concept. ”

Jiang Lili was slightly stunned: "Huh? I? May I? ”

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

Wang Sangning nodded, she felt that this method was very reliable, and her mood was a little excited.

Good guys, they were ignored...... Jiang Lili stepped on the accelerator.

Wang Sangning nodded, and asked again: "What about after the first step is completed?" ”

Yi Yang said: "Relying on the textbook, when we basically grasp all the conceptual definitions, the score may not become higher immediately, but it can be regarded as a good foundation, and above this step, what we need to do is derive." ”

"Derivation?"

Yi Yang was a little serious, and this was exactly what he had been doing.

"You should have memorized a lot of Level 2 formulas, right? But a lot of formulas, you don't know how they came about, this doesn't work, and when you have done the first step, the next step is to independently derive those second-level formulas on the basis of the first step. ”

Yi Yang smiled slightly: "Of course, I described these two steps very simply, but if you really do it, the workload is still very large, especially when deriving some second-level formulas, the difficulty is not easier than simply doing the problem, and it is very likely that because of the large time span, the latter will be mastered, and the front will be rusty." ”

"But it doesn't matter, this process improves your ability, knowledge is a reserve, you will forget, but ability is different, ability is a physiological function, your way of thinking has changed, and it is even very likely that you will do this often, and the structure of the brain will also undergo some changes, such as a certain area that is often exercised, nerve endings grow fresh synapses and so on......"

"The results of mathematics, physics and chemistry will definitely improve."

Wang Sangning felt dizzy in her head, but she was excited in her heart.

Jiang Lili was a little amused when she heard the big cake that Yi Yang drew for her sister, but she had to say that even she could understand the kind of learning method described by Yi Yang, and she also felt that it was very operational, and smiled slightly: "Okay, seeing that you two are so full of energy, this palace is very pleased, then I will help you, Sang Ning, just as Yi Yang said, you are responsible for explaining me clearly." ”

Wang Sangning's chest was warm, and he nodded: "Thank you." ”

The rain gradually subsided.

The car gradually drove into an industrial park, the road here is spacious, on the road vehicles, from time to time to see one or two driving test cars driving slowly, Jiang Lili passed from the side, glanced sideways, and could see the driving test candidates in the car nervously pinching the steering wheel.

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

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

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

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

Jiang Lili said: "Okay, if you get your driver's license, I'll give you a gift." ”

Yi Yang thought for a moment and asked, "Can I choose a gift by myself?" ”

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

"Why?"

Jiang Lili snorted: "Anyway, it's not good." ”

Wang Sangning glanced at Jiang Lili, his eyes flickered, and said to Yi Yang: "Whatever your cousin says, you have to come on!" I'm also looking forward to what 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", but "what do you buy".

She couldn't help but glance at Wang Sangning silently, this sister who looked a little natural and stupid, in fact, knew everything in her heart.

Jiang Lili thought about it, leaned over to Wang Sangning's ear and whispered a word.

Wang Sangning was dumbfounded.

"This ...... Sister, you ......"

Jiang Lili smiled and said, "But I can't give it to him for the time being." ”