Chapter 205 The True Knowledge System and the False Knowledge System

Tang Guangrong just entered the office, and Yi Yang knocked on the door.

Just as he put down the lesson plan, Tang Guangrong looked back and saw that it was a student in his class. He showed a slightly surprised expression and asked, "Is there anything wrong?"

Yi Yang hesitated for a moment, because the teacher did not say anything like "please come in", so he stood at the door and said, "There is a little problem..."

Teacher Tang said: "Let's talk."

Yi Yang then walked into the office.

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

Yi Yang stood up, organized the language a little, and said, "It's like this Teacher Tang. This time my score dropped a little in the math exam. Today, I heard you talk about science thinking. I feel like I am.

I don’t have that kind of science thinking yet, so I’d like to ask you to analyze it for me.”

Tang Guangrong did not interrupt Yi Yang, listened to him carefully, then thought for a while before nodding: "I probably understand what you mean."

He glanced at Yi Yang again and thought for a while, "You are your name Yi Yang, right..."

Although the school started for a long time, as a subject teacher, Tang Guangrong still couldn't remember the names of the students in the class. The main reason was that Yi Yang always kept a low profile, and Tang Guangrong didn't have the habit of asking questions and calling them in class.

Of course, this is equal, and Tang Guangrong has never had the habit of remembering 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, the results are declining this time."

"You don't have to worry too much about this matter. In fact, the difficulty of this test question is relatively high. You may not feel 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 get more than 110 points in this set of test papers, I think it is reasonable to have a college entrance examination difficulty of about 130."

Yi Yang was slightly stunned. Is it difficult?

"The second question is about science thinking."

"Well..." Tang Guangrong looked at the watch. It was just over the get out of class and there was still time. So he thought about it and said, "The so-called science thinking does not have a standard definition. The following concepts are mine. You can use some personal insights in your learning practice, and if they are suitable for you, use them. If they are not suitable for you, you can also explore a learning method that suits you."

Yi Yang nodded quickly.

"I use two words to summarize this scientific way of thinking: management."

Yi Yang frowned slightly.

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

While saying that, Tang Guangrong opened the math book and said, "Come on, I'll give you an example so that you can understand this concept more intuitively."

Turned to the page "Concept of Collection".

Just one page, the small space contains the definition of sets and elements, the determinism of set elements, the uniqueness of set elements, the equality of set elements...eight or nine concepts.

Tang Guangrong said: "This page is very typical to reflect the characteristics of high school science. It is driven by the conceptual knowledge system. The density of concepts is very large, the amount of knowledge is large, the correlation of knowledge is strong, and the dependence is layer by layer, and the abstraction is high.

”

"If you are, if you don't understand, remember first, be able to do the questions before you talk about them. Learning these knowledge by repeatedly contacting and proficient in solving problems may mean that you have not yet formed a management mindset."

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

Tang Guangrong laughed, waved his hand, and said, "I'm not targeting you, but what I want to say is that the so-called knowledge system established by most students, such as the mind map you often use, is actually a

A system that is forced to piece together, what is a system that is forced to piece together? Let me give you an example. The knowledge system they have established is no different from the directory in front of our math book. As soon as I recall, oh, we learned this knowledge,

But that is a classified system, a patchwork system. If it is so simple to establish a system, just memorize the directory table..."

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

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

Tang Guangrong took another sip of tea and continued: "But the system knowledge that was forced to piece together gives you a memory of what you learned. After all, it is the thinking of liberal arts. The essence of science and liberal arts is different. Use this thinking

There is no way to truly understand the subject."

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

Tang Guangrong smiled slightly, and he saw a light of extreme desire for knowledge in Yi Yang's eyes, and this strong and passionate emotion made him very pleased.

Because this is a key high school, most students have no shortage of self-consciousness and hard work, but they lack a kind of humility.

Why do you say this? You can draw a conclusion like this. Since he entered a key high school, at least half of the students he taught prefer to study by themselves. The teacher said above that they do their own things below.

There is a joke that says this:

In an ordinary high school, you look at the teacher’s stupidity, and the teacher sees you like this.

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

Tang Guangrong didn't know whether his students were awesome, but he knew that most of the students who could enter key high schools had IQs at least above the average, and they had no choice but to say their self-study ability and insight, and some students even

Make the teacher ashamed...

Over time, he would not care about what the students below were doing during class. They would follow their own rhythm. It doesn’t matter. They would follow the teacher’s rhythm, so it would be better.

Wang Yangming said that knowledge and action are united. Most students in key high schools have a set of learning methods and thinking methods that they recognize. If you instill some of your own things for them, they may not be happy to accept them.

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

Yi Yang in front of him was a little special and very humble.

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

"reasoning?"

"Yes, reasoning, this learning method is suitable for all science subjects. This is a ability that needs to be obtained through continuous training, which is to be able to deduce the core knowledge system of the subject with bare hands."

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

"If you take the first section of the collection as an example, how can you form a real knowledge system? Come, follow my ideas and I will take you there."

"There are many knowledge points in this section, and the collective representation and description, whether it belongs to or not... There are a total of ten. If you want to tell these knowledge points, you can only use rote memorization because you don't understand these knowledge points.

The relationship and overall structure of each other."

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

"With a definition, there will be properties. We study the basic properties of the set, that is, certainty and uniqueness."

"Next, we start to study relationships. We have already defined two basic concepts, sets and elements, so we are studying the basic relationship between these two. What is it? It is whether it belongs and does not belong."

"Next, for the sake of easy research, we need a more concise and efficient expression, so what we will learn is the representation of sets..."

"Okay, this is the collection of the knowledge context in this section. How can we sort it out after such refining and sorting? Can we deduce the core knowledge system of this section from the beginning without rote memorizing it?"

"You can understand now that if you compare the knowledge system to a tree, the piece-in-one knowledge system is, you have a photo of a tree in your mind, how many branches are there on the trunk, and how many forks are there on the trunk,

You remembered it.”

"And a logical system should be that you learn and understand knowledge and have the backbone of knowledge. Then every branch and fork of it can be deduced in a very short time when needed.

There is no need to remember it. This is a kind of ability. Once you master this ability, knowledge will not be easily forgotten, and it can be enjoyed for life."

"The study of mathematics requires no memory, only understanding."

At this moment, the ringtone rang.

Yi Yang silently remembered Tang Guangrong’s words, digested them, and said seriously: “Thank you, Teacher Tang!”

Tang Guangrong waved his hand: "What do you thank you? The teacher should do it. You can practice it yourself after you come down. It may not be useful to every student... Well, go to class."

...

It takes some time to digest and integrate what Teacher Tang said, but it has opened up a new way of learning for Yi Yang.

He has always known the importance of the knowledge system, but as Teacher Tang said, the knowledge system built before tends to be a system under the liberal arts thinking.

Compared with science, some knowledge in liberal arts can actually be connected by this logic, but it still requires memorizing something, especially not many conceptual things, so the "patchwork knowledge system" sometimes even

Very necessary.

But science is different. Thinking about Luo Bing at this time, he has such a ability. He does not spend so much time on memory. For example, he mastered a concept, and then its nature, expresses, the corresponding formula

, Through a little impression I learned in class, I can recall it within a few seconds when doing the test...

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

It’s just that this ability is simple, but to be able to be truly applied to the scenarios of exams, on the one hand, you must understand it thoroughly, and on the other hand... it still requires a lot of practice!

This kind of exercise is not a brainless question practice.

Instead, we will understand and construct the conceptual knowledge system in a targeted manner.

Science is a subject based on the conceptual knowledge system!

Once you understand this clearly, your next learning direction will be clear.

At this time, Yi Yang felt a sudden enlightenment.

The correct way to open up the science subject is to have a clear understanding.

Exam-oriented education pursues proficient applications.

Of course, you should not be too ambitious. From the perspective of grades, proficient application is also effective in the short term, which is probably why some people can keep up with the pace when they enter high school.

But when the knowledge system becomes more and more complex, the knowledge points become more and more closely related to concepts, the more difficult it is to work.

This is also why some students' grades fell sharply in the later stages of high school.

It is because there is too much knowledge in the late stage of high school and the knowledge system is not established, which is in chaos.

Next, we need to establish a new knowledge system in this way.

But it can also be predicted that this will be a longer and difficult process... Some simple concepts can be easily understood, but some slightly more complex concepts and the properties, formulas, variants of formulas derived from complex concepts

Perhaps the derivation process is enough to burn your mind, and what he needs to do is to be able to deduce quickly while doing the questions in a continuous understanding process, which will be even more difficult.

If you can't master it once, just do it a few more times, and the question is used as a touchstone to test the degree of solid mastery of those knowledge.

By building your own knowledge system bit by bit, you will benefit endlessly.

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

At this time, the head teacher Shen Xiaoding was talking about Cao Cao's short songs with great passion.

While reading wine and singing, Wang Sangning was like a song, his life was inspiration, and he wrote down on the notebook...

I recite poems to my father,

I recite Cao Cao's wine and singing,

Thinking of Cao Cao's life,

Father said,

Cao Cao is a powerful person.

but,

You are underage,

No drinking is allowed.

After writing, she couldn't help but smile, then felt ashamed of her inaction and secretly looked at Teacher Shen...

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

For a moment, Wang Sangning's expression was complicated.

Yi Yang tried to use this method to deduce the knowledge system related to equations and inequality.

Of course, this knowledge is mastered. After all, this part of the knowledge is very difficult in the high school mathematics knowledge system, so this process does not take much time.

Based on the basic concept of inequality, it gradually derives its properties, basic inequality... various advanced concepts, and compares them with the knowledge points in the book one by one.

In this process, every step is linked and a complete logical chain. Then when a certain knowledge point is understood or not, it can be clearly reflected in the constructed knowledge system.

Not fully grasped.

In this way, whether you ask teachers or classmates, you can understand slowly and master all the knowledge thoroughly without leaving any blind spots.

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 work on it.

Of course, it is not that practicing questions is useless, but you must practice questions based on understanding basic knowledge. Only in this way can you practice questions make sense.

When Yi Yang was immersed in the pleasure of building a knowledge system, he couldn't extricate himself. Teacher Shen suddenly said, "Let me ask a classmate to share the experience of reading this poem... Well, Yi Yang!"

Everyone looked at each other.

Yi Yang was shocked and stood up subconsciously.

Oh no…What poem? How many pages? Which sentence?

Although a group of people who were in a panic, Yi Yang's expression was very calm and said, "When I read this poem, my heart was extremely turbulent..."

Then he glanced at Wang Sangning's book.

"However, I'm underage, it's better not to drink alcohol..."
Chapter completed!