Reborn I just want to concentrate on studying

Chapter 205 True Knowledge System and False Knowledge System

Just as Tang Guangrong entered the office, Yi Yang knocked on the door behind him.

Just after putting down the lesson plan, Tang Guangrong looked back and saw that it was a student in his class, with a slightly surprised expression on his face, he asked, "Is there anything wrong?"

Yi Yang hesitated for a while, because the teacher didn't say "please come in", so he stood at the door and said, "I have a little problem..."

Teacher Tang said, "Come in and talk."

Yi Yang just walked into the office.

Tang Guangrong unscrewed the lid of the teacup, blew lightly, took a sip, and asked, "What's the problem?"

Yi Yang stood up, organized his language a little bit, and said: "This is Mr. Tang, my score has dropped a little in this math test, and I heard you talk about science thinking in class today. I don’t have that kind of scientific thinking yet, so I’m here to ask you to analyze it for me.”

Tang Guangrong didn't interrupt Yi Yang, and listened to him carefully, then nodded after thinking for a while: "I probably understand what you mean."

He glanced at Yi Yang again, thought for a while, "Your name is Yi Yang, right..."

Although it has been a long time since the start of school, Tang Guangrong, the subject teacher, still can't remember the names of the students in the class. The main reason is that Yi Yang has always kept a low profile, and Tang Guangrong has no habit of taking roll calls in class.

Of course, this is treated equally. Tang Guangrong has never had the habit of memorizing students' names.

Yi Yang nodded.

Tang Guangrong smiled and said, "You have two questions, let's talk about them one by one."

"First of all, it is the matter of this decline in performance."

"In fact, there is no need to worry too much about this matter. In fact, the difficulty of the test questions this time is relatively high. You may not think it is difficult, but there are a few places where thinking needs to be turned, and the settings are relatively obscure. This set of questions is mine. If you can score more than 110 points in this set of test papers, I think it is reasonable to lower the difficulty of the college entrance examination to around 130."

Yi Yang was slightly taken aback, is it difficult?

"The second question is about scientific thinking."

"Hmm..." Tang Guangrong looked at his watch. He had just finished class and still had time, so he thought for a while and said, "There is no standard definition for the so-called scientific thinking. The following concepts are all mine. You can use some personal insights in your learning practice, if it suits you, use it, if it doesn’t suit you, you can also explore a learning method that suits you.”

Yi Yang nodded quickly.

"I can sum up this scientific way of thinking in two words: management."

Yi Yang frowned slightly.

"What is management, I put it simply, it is the ability to manage the knowledge system."

While talking, Tang Guangrong opened the math book, "Come on, let me give you an example, so that you can understand this concept more intuitively."

Turned to the page "Concepts of Sets".

In just one page, the definition of sets and elements, the certainty of set elements, the uniqueness of set elements, and the equality of sets... eight or nine concepts are contained in the small space.

Tang Guangrong said: "This page very typically reflects the characteristics of high school science, driven by the conceptual knowledge system, with a high density of concepts, a large amount of knowledge, strong correlation of knowledge, and layer-by-layer dependence and high abstraction. "

"If you don't understand, memorize it first, and then talk about it after you can do the questions. You can learn this knowledge by repeatedly contacting and proficiently solving problems, which probably means that you have not yet formed a management thinking."

Yi Yang was silent for a moment, and couldn't help but said: "I actually have a knowledge system in my mind..."

Tang Guangrong laughed loudly, waved his hands, and said, "I'm not targeting you, but what I want to say is that the so-called knowledge system established by the vast majority of students, such as the mind maps you often use, is actually a A system that is forcibly pieced together, what is a system that is forcibly pieced together? Let me give you an example. Many students, the knowledge system they built is no different from the catalog in front of our math book. When I recall, oh, we have learned this knowledge, But it is a classified system and a patchwork system. If it is so simple to establish a system, everyone can just memorize the table of contents..."

Yi Yang was stunned, thinking about it carefully, since junior high school, all his induction and summary of knowledge are indeed more like a more detailed table of contents...

Anyway, when studying history, this kind of knowledge system is very useful.

Tang Guangrong took another sip of tea and continued: "But the knowledge of the system that you forcibly pieced together allows you to have a memory of what you have learned. In the final analysis, it is still a liberal arts thinking. The essence of science and liberal arts is different. Using this kind of thinking There is no way to really understand the subject through the method.”

Yi Yang couldn't help asking: "Then Teacher Tang... how can I master that real system?"

Tang Guangrong smiled slightly. He saw in Yi Yang's eyes a light of extreme thirst for knowledge. This strong and fiery emotion made him very gratified.

Because this is a key high school, the vast majority of students do not lack self-awareness and hard work, but they lack a kind of humility.

Why do you say that? It can be concluded that at least half of the students he has taught since he entered a key high school prefer self-study. The teacher talks on the top, and they do their own things on the bottom.

There is a passage that says:

Ordinary high school, you see the teacher as an idiot, and the teacher sees you as such.

In key high schools, you see the teacher as awesome, and the teacher sees you as such.

Tang Guangrong didn't know if his students thought he was awesome, but he did know that most of the students who could enter the key high schools had an IQ above the average line, and their self-study ability and comprehension were both excellent. Make the teacher ashamed...

Over time, he didn't care what the students below were doing when he was in class. They walked at their own pace, it didn't matter, it was better for them to follow the teacher's rhythm.

Wang Yangming said that knowledge and action are one. Most students in key high schools have their own learning methods and ways of thinking. If you instill something of your own in them, they may not readily accept it.

Therefore, he will not take the initiative to talk to the students about some things about his learning experience.

The Yi Yang in front of him was special and humble.

Tang Guangrong smiled and said: "How to master the real system... Two words, reasoning!"

"reasoning?"

"Yes, reasoning. This learning method is applicable to all science subjects. This is an ability that must be acquired through continuous training. It is the ability to deduce the core knowledge system of the subject by hand."

"Only the system derived by myself has a clear context and a strong organization, and it can still be effectively controlled in the face of hundreds or thousands of subject knowledge points."

"Let's take the first section of the collection as an example. How can a real knowledge system be formed? Come on, follow my train of thought, and I'll take you through it."

"There are a lot of knowledge points in this section, the representation and description of the set, belonging and non-belonging...a total of ten, let you name these knowledge points, you can only use rote memorization, because you don't understand these knowledge points interrelationships, overall structure.”

"First of all, we start learning from the definition. The definition of sets and elements is the starting point of the set knowledge system."

"With definitions, there will be properties. We study the basic properties of sets, that is, certainty and uniqueness."

"Next, we start to study the relationship. We already have the definition of two basic concepts, set and element, so we are studying the basic relationship between the two. What is it? It belongs to and does not belong to."

"Next, in order to facilitate research, we need more concise and efficient expressions, so the next thing we will learn is the notation of sets..."

"Okay, this is the knowledge thread of this section. How can we deduce the core knowledge system of this section from the beginning after such refinement and sorting out?"

"You can now understand that if you compare the knowledge system to a tree, the patchwork knowledge system is that you have a picture of a tree in your mind, how many branches are on the trunk, and how many branches are on the branches. You remember it."

"The logical system should be that you have learned and understood the knowledge. With the backbone of knowledge, each of its branches and forks can be deduced in a very short time when needed. There is no need to memorize it. This is a kind of ability, and if you master this ability, knowledge will not be easily forgotten, and it can be used for life."

"Learning mathematics requires no memorization, only understanding."

At this moment, the bell rang.

Yi Yang silently memorized and digested Tang Guangrong's words, and said earnestly, "Thank you, Teacher Tang!"

Tang Guangrong waved his hand: "Thank you, the teacher should do it. You should practice it yourself after you come down, it may not be useful for every student... Well, go to class."

……

It will take some time for Teacher Tang to digest and comprehend these things, but it has opened up a new way of thinking for Yi Yang.

He has always been aware of the importance of the knowledge system, but as Mr. Tang said, the previous knowledge system is more inclined to a liberal arts thinking system.

Compared with science, some knowledge of liberal arts can actually be connected by this logic, but more things still need to be memorized, especially when there are not many conceptual things involved, so the "patchwork knowledge system" sometimes even It is necessary.

But science is different. Thinking about Luo Bing at this time, he has such an ability that he usually does not spend so much time on memorizing. For example, he has mastered a concept, and then its properties, expressions, and corresponding formulas. , through a little impression learned in class, you can recall it within a few seconds when doing the questions...

Now I understand that it is not a memory, but a derivation.

It’s just that this kind of ability is easy to say, but to be able to really use it in the scene of the exam, on the one hand, it must be thoroughly understood, and on the other hand... it still needs a lot of practice!

This kind of exercise is not mindless brushing questions.

Instead, understand and build a conceptual knowledge system in a targeted manner.

Science is a discipline based on a conceptual knowledge system!

With a clear understanding of this point, the next learning direction will be clear.

At this moment, Yi Yang felt a sense of enlightenment.

The correct way to open up and study science is to have a transparent understanding.

Exam-oriented education is the pursuit of proficient application.

Of course, we can’t aim too high. From the perspective of achievement, proficient application is also effective in the short term. This is probably the reason why some people can keep up with the rhythm when they enter high school.

It's just that when the knowledge system becomes more and more complex, there are more and more knowledge points, and the concept relationship becomes closer, the more difficult it is for this method to work.

This is why some students' grades plummeted in the later stages of high school.

It is because there is too much knowledge in the late high school, and the knowledge system has not been established, which is confusing.

Next, build a new body of knowledge in this way.

But it can also be foreseen that this will be a longer and more difficult process... Some simple concepts can be easily understood, but some slightly more complex concepts and the properties, formulas, and variants of formulas derived from complex concepts , maybe that derivation process is enough to burn the brain, and what he wants to do is to be able to quickly deduce when doing the questions in the continuous understanding process, which is even more difficult.

If you can't master it once, you can do it several times, and the questions are used as a touchstone to test the firmness of those knowledge.

Building up your own knowledge system little by little in this way will benefit you immensely.

This class is a Chinese class, but Yi Yang couldn't help but open the math book at this time.

At this time, the class teacher Shen Xiaoding was talking about Cao Cao's Duan Ge Xing very passionately.

While Wang Sangning was reading about drinking and singing, how much life is, when inspiration came, she wrote down in her notebook...

I read poems to my father,

I read Cao Cao's song about wine,

Read Cao Cao's life geometry,

father said,
Cao Cao is a formidable man,

but,
you are underage,

No alcohol allowed.

After finishing writing, she couldn't help smiling, and then felt ashamed of her inaction, and secretly glanced at Teacher Shen...

But then, she saw Yi Yang was holding a math book, writing and drawing on the draft pad.

For a moment, Wang Sangning had a complicated expression.

Yi Yang tried to use this method to derive the knowledge system related to equality and inequality.

Naturally, this knowledge is mastered. After all, this part of knowledge is very difficult in the high school mathematics knowledge system, so this process did not take long.

Based on the basic concept of inequality, gradually deduce its properties, basic inequality... various advanced concepts, and compare them with the knowledge points in books one by one.

In this process, each step is interlocking and is a complete logic chain. Then when a certain knowledge point is half understood, it can be clearly reflected in the constructed knowledge system, oh here Not fully grasped yet.

In this way, no matter whether you ask the teacher or your classmates, if you understand slowly, you can master all the knowledge thoroughly without leaving any dead ends.

This method is more brain-intensive and time-consuming than simply memorizing formulas, but Yi Yang believes that spending more time on this is much better than meaningless brushing up questions.

Of course, it's not that it's useless to brush the questions, but it's only meaningful to do it on the basis of understanding the basic knowledge.

When Yi Yang was immersed in the thrill of building a knowledge system and couldn't extricate himself, Teacher Shen suddenly said: "Let's ask a classmate to share the experience of reading this poem... Well, let's go, Yi Yang!"

Everyone looked over.

Yi Yang was startled and subconsciously stood up.

Oops... what poem?how many pagesWhich sentence?
Despite the panic in his heart, Yi Yang's expression was very calm, and he said: "When I read this poem, my heart is extremely agitated..."

Then he glanced at Wang Sangning's notebook.

"However, I'm underage, it's best not to drink..."

(End of this chapter)