I am reborn and just want to concentrate on my studies

There are many unsold parking spaces in Jiang Lili's community, and outside vehicles can park according to metered payment, so Yiyang parked the car in an unowned parking space not far from Jiang Lili's parking space.

In the underground parking lot, the three of them entered the elevator together. On the first floor, they paused and an old aunt came in with her grandson.

The old aunt had white hair, but her waist was straight, and she looked quite elegant. She made friendly eye contact with the three people in the elevator, and then said to her grandson: "Yangyang, which floor do we live on?"

The child was a three- or four-year-old boy. He was clean and shy when he caught up, and he answered obediently: "The 17th floor."

Seeing this scene, Yi Yang couldn't help but think of his grandmother, who coaxed him like this when he was young.

The old aunt picked up her grandson, and the little boy found the number 17 and pressed it hard.

"Yangyang is awesome."

Seeing this scene, the three people behind felt a little warm.

With a smile on her face, Jiang Lili came up to look at the little boy and winked at him.

The little boy was a little shy and buried his head in his grandma's arms.

The old aunt naturally saw this scene and encouraged her grandson: "Yangyang, you have to say hello to your uncle and aunt. Is Yangyang a polite child?"

The little boy then whispered softly: "Hello, aunt..." He looked at Yi Yang and said, "Hello, uncle."

Yi Yang touched his nose. It felt a little weird to be called uncle in this life.

Wang Sangning also stepped forward to tease the child and asked, "Child, what is your name?"

The boy smiled shyly and said, "My name is Yi Yang."

Suddenly, Yi Yang's eyes widened and he couldn't hold it back and coughed twice on the spot.

Jiang Lili and Wang Sangning were stunned, and then they laughed.

Jiang Lili stretched out her hand, shook hands with Xiao Yiyang, and said, "Hello, little Yiyang!"

"Ding dong!"

The elevator didn't leave them much time. They had already reached the 17th floor. The aunt smiled at Yi Yang and the others, walked out of the elevator, and said to her grandson: "Say goodbye to uncle and aunt."

The young version of Yi Yang waved his hand and said in a sweet voice: "Goodbye~"

When the elevator door closed again, Jiang Lili said, "I didn't expect to meet a child with the same name as Yi Yang here."

Yi Yang said without blushing, "It means I'm lucky to have this name. They all look pretty cute."

"Haha..." The two girls couldn't stop laughing.

After arriving home, Yi Yang and Wang Sangning quickly adjusted themselves and got back to studying again.

Yi Yang took Wang Sangning's book, looked at it carefully, and sketched out the defining concepts with a blue watercolor pen. While doing this, Wang Sangning put his eyes on Yi Yang's hand very seriously. on the floor, muttering to himself from time to time, or frowning slightly.

Soon, Yi Yang had outlined all the contents of the "Gathering" chapter.

Yi Yang said seriously: "Starting today, I will review what I have learned before."

Wang Sangning nodded seriously.

"Don't worry, because you have learned it before, and you understand many things. Our process is not only to check and fill in the gaps, but also to consolidate and improve."

Wang Sangning nodded again.

Yi Yang casually pointed at one of the outlined definitions and said: "It is best to write the definition in a notebook while understanding it. Don't copy the concept in large sections, just write the noun. For example, the research objects are collectively called Element, just copy the two words element here."

"Next, in this chapter, your notebook will record nouns such as elements, sets, set equality, belonging, and not belonging. All you have to do is take this notebook and explain it to Sister Jiang. She has zero basic knowledge. As long as she can understand the meaning of these nouns, it means that you understand the meaning of these nouns."

Wang Sangning took the book and flipped through it. She understood most of them. After all, the early stages of high school mathematics were relatively simple.

Only after sorting it out like this now, did she realize that there were some concepts that she was not sure about after a long time. But in general, it was not a big problem. She copied them in her notebook while recalling them.

Yi Yang saw that Wang Sangning was starting to concentrate on this matter, and said: "Of course, it is not difficult to just understand the basic concepts. Although it is easy to forget, we probably won't just do it this time. Before the college entrance examination, we may repeat this matter several times, but this is not the focus. Once we fully understand these basic concepts, the next step of derivation is the most important."

"Basic concepts will derive many second-level formulas. Our exams are also based on these derived formulas. Step by step, when you have a clear definition, we will start to derive those second-level formulas module by module."

"Don't worry, generally speaking, those formulas are very simple."

"It will take us longer to complete this step than the first step, and you will most likely forget it in the future. It doesn't matter. From then until the college entrance examination, we will continue to do this again and again. The more times we do it, all the formulas It will become a part of your physiological function like your instinct, and you will not forget it.”

When Wang Sangning heard Yi Yang's description, her blood boiled and she continued to do this seriously.

What Wang Sangning wanted to do at this time did not require his participation, so he quietly exited Wang Sangning's room and returned to his own room.

During this period of time, my homework was basically done in school. When I got home, my focus was naturally on math and English.

Mathematics is naturally not something Bidu said. Although the competition is over for him now, he can participate again next year in his senior year of high school, so he cannot abandon the competition. Moreover, the competition questions are different from the college entrance examination mathematics. Those weird solutions, if a certain In an instant, an idea comes to mind, endorphins are released, and the feeling of pleasure is completely unmatched by dopamine.

Dopamine and endorphins are both substances that can make people feel happy, but endorphins can only be obtained after experiencing pain. This kind of happiness is more advanced and lasting. Often only challenging oneself can stimulate endorphins.

It is only recently that English has been given priority again.

To be precise, Yiyang's emphasis on English at this time was not limited to its college entrance examination attributes.

In Yi Yang's view, the essence of English is a tool. Many people think that English is not necessary to be included in compulsory education. Yi Yang does not care about this view. He attaches great importance to English at this time just because of his plans for the future. .

Now my eyes have been set on prestigious schools.

No matter what prestigious school they are, one thing is generally common, and that is their international structure.

English is used in everything!

If you major in academic research, you will find that most cutting-edge research is based on English journal articles. If you don't understand English, you won't be able to get in.

Even if it is research materials like Chinese language and history, although most of them do not involve foreign majors, in top universities, their positioning in top universities is definitely not only the study of their own country, but also the value of spreading culture. It is also necessary to learn English well and transfer Chinese traditions. The translation of cultural works and historical works into English shocked those foreigners who worshiped China and favored foreign countries.

At the same time, in prestigious schools, there are often classes given by internationally renowned professors. If you can’t understand what they are saying, it’s really hard to explain.

All in all, if you define yourself as a student who will enter a prestigious school in the future, then the standards for English can no longer be limited to the level of written examinations and college entrance examinations.

Yi Yang believes that one must at least be able to communicate with foreigners fluently.

Of course, in addition to these reasons, there is another more important reason.

After studying for so long, I have gradually figured out how to go next.

I already have an idea of ​​what major I want to study in the future. I learned a little bit about it and found out that that major has very high requirements for mathematics and not low requirements for English.

So the most important thing right now is to improve your English listening.

I took out the English audio and listened to the material over and over again.

He listened to it first, then wrote a sentence in his notebook after listening to it. He frowned from time to time. If he really didn't hear a certain word, he would fill it in based on the context, but he would put a question mark next to it.

He spent more than ten minutes dictating a material that lasted a few minutes, then opened the English material and corrected his mistakes.

At this point, what is the problem with this material? Is it because I have not mastered the English words? Is it because I didn’t hear the swallowing sound clearly? It's basically clear at a glance.

After finishing this time, I read the textbook again, and when I listened to the original text again, it was very clear.

Of course, this is the result of long-term practice. It was also very difficult to practice English listening in this way at the beginning.

The method is definitely correct, and what is needed is long-term persistence.

At this time, Yiyang has started dictating at 1.2 times speed. At this speed, it naturally sounds more difficult than the original version. But once you get used to it, doing English listening questions is simply a dimensionality reduction blow.

After nearly two hours of practice, Yi Yang gently rubbed his temples.

You probably also have an intuitive understanding of your own English level.

Since the second grade of junior high school, I have been memorizing words steadily. Learning a language has little to do with intelligence. After all, an American with an IQ below 90 will most likely be able to speak English. As long as the words are memorized, it will be easy to memorize them. , the score won’t be that low.

Like most Chinese candidates, Yiyang's shortcoming is his speaking ability.

There is still a certain gap between listening and speaking and being able to communicate as fluently as one's own mother tongue.

Of course, Yi Yang doesn't care about accent. He doesn't pursue that his pronunciation and accent must be as standard and authentic as foreigners. As long as the other party can understand it, in fact, most foreigners won't pay special attention to you. pronounce.

In this regard, be more confident.

When Yi Yang came out of the room after finishing his studies, Wang Sangning was already gesticulating hard in front of Jiang Lili.

"For example, um... if q, you can definitely get p, then q is the sufficient condition of p, and p is the necessary condition of q."

"Ha...I don't understand."

"For example, if the four corners of a quadrilateral are all right angles, then the quadrilateral must be a parallelogram. Do you understand this?"

"Well, that's a rectangle or a square. Well... I can understand it. It's elementary school mathematics."

"The four angles of a quadrilateral are all right angles. This is a condition. As long as you know this condition, you can definitely deduce that the quadrilateral is a parallelogram. No problem, right? So the previous condition is a sufficient condition for the latter condition. Is it sufficient? , it means enough, that’s how I understand it, it’s enough for derivation.”

"When you said that, I seem to understand!" Jiang Lili clapped her hands happily: "That's great, you have explained another knowledge point to me."

Wang Sangning smiled with some relief. She turned around and saw Yi Yang looking at herself and Jiang Lili. She gently scratched her head and said, "I don't know if what I'm saying now is right or not."

Yi Yang said: "There must be no problem with this. The example you just gave is very good. It is easy to remember. The next time you do a question, you forget the concepts of sufficient and necessary conditions. Just think of this With an example, you can recall the concept at once, and you can also deduce many derived concepts through this example.”

"For example, if the four angles are all right angles, it can be deduced that this figure is a parallelogram, but conversely, can a parallelogram deduce that its four angles are all right angles? Obviously not, so you have obtained the concept of necessary conditions. .”

"Extending it further, if the four corners of a figure are not right angles, can we deduce that the figure must not be a parallelogram? No, so we have obtained the sufficient condition that q is p, but if it is not p, we cannot deduce that it is not q...blah blah blah..." Yi Yang said a few concepts that can be directly deduced.

Wang Sangning nodded and said seriously: "I think this learning method is really amazing. I obviously have some unclear grasp of these knowledge points, but when I tell my sister about her, my thinking suddenly becomes It’s become clearer, and like you said, as long as you give examples, it’s hard to forget that knowledge point!”

"Really?" Yi Yang smiled: "Learn slowly like this first, and then after deriving the level 2 formulas and concepts, your math scores will suddenly improve a lot!"

"Hee, thank you Yi Yang."

"Thank you even more, Sister Jiang."

Jiang Lili rubbed her eyes, "Okay, you two go to bed early today. We will leave for Qinghe County early tomorrow morning, so I will go to bed first." As he said this, he stood up and stretched. Waist, yawned, and said: "It's been a long time since I've been exposed to something like mathematics, and I feel sleepy when I do."

Wang Sangning also stretched. After today, she finally felt a lot more at ease. She waved her hand to Yi Yang and said, "You should go to bed early too."

Yi Yang nodded, and when Jiang Lili and Wang Sangning returned to the room, Yi Yang walked to the window and looked at the night view of the city outside the window, silent for a long time.

For a long time before, studying was a bit hazy. I just had a general goal of "changing my life" and "getting into a good university". It wasn't until today that I figured out what I should study and do in the future. Once you have a goal, you will feel more at ease.

However, he has not told anyone about this goal yet. He plans to get to know it for a while and communicate with Luo Bing again.

After pondering for a while, Yi Yang took another deep look at the city's bright night scene, and secretly made up his mind to establish a foothold on this land.

Complete what my father failed to do back then.