First of all, I am an academic scum as a whole, because I never attend classes or do my homework. So my algebra is not as good as yours. But my geometry and physics can be said to be the kind of person who usually doesn't write much, but finishes the exam the fastest. I will take the liberty to share with you my understanding of these two courses.
In fact, I think learning is just two words: thinking.
Except for exams, I almost never write, and I don't listen to the teacher at all in class. It's no use listening, because the thinking guided by the teacher is very different from my own. So when I am interested in learning, I meditate by myself and don't think according to what is in the textbook at all. It's all a stream of consciousness I think what I want, whether I take the exam or not. Sometimes my mind will string up some questions that make the teacher stunned, such as how did the world come from? Can people have a sense of distance in an infinite empty space?
When you think about a problem in a difficult jump, you will have no idea at first, such as why the coefficient of dynamic friction is between 0 and 1? Why not be greater than or equal to 1? This random question made me take great pains, and I didn't know where to start to prove it at first.
But my depression helped me. It makes me paranoid, makes me withdrawn, makes me addicted to my own thinking and ignores the world. Slowly, thinking seems to have a direction, but it doesn't seem to be thorough. That kind of feeling is like the feeling that you itch but don't know it, but you are about to find a place. You will be addicted, addicted, eager, and then meditate, meditate, think, think.
Thinking is like the root system of plants, which will stretch further and further. Although neither you nor I are Newton, we can't ponder so many profound theories in the environment at that time like him, but it is worth taking a walk without any outside help or any book reference. Don't listen to lectures, don't read books, and think about it by yourself. That feeling is cool!
When I have some logical systems in my mind, I will gradually start to pay attention to which questions people around me will not try. My class is the strongest in the whole grade (through the back door), and the students here can't discuss why. My brother's college scum wants to be clear at a glance. Joking, it almost made me recover from this serious depression, and my heart was full of joy.
This feeling is too addictive. It took me more than a month to study physics alone, and I changed from a bad student to a bully. I never listen to the teacher in class, but if I suddenly raise my head or raise my hand, the teacher will be numb, and I can see a little panic in the teacher's face every time, because it means that my thinking is simpler, or she made a mistake, or the topic is wrong, or I think through divergent thinking. Personally, I think the last question of physics in my local exam is wrong and the difficulty of the exam is relatively low. This question is clear, and more than 90% people can work it out. But when I finished reading the questions, I intuitively felt that one of the values was a bit illogical, as if it were too high, but in the eyes of people in this class, it was a "waste of time" to just pass the exam without asking for height, and I was also exposed to this potential understanding. So I answered according to "the teacher wants to see the answer", and the paper slipped directly in 17 minutes. But in the end, I'm still me, and I regret it as soon as my ass is lifted, but now that I'm standing up, I'll hand in my papers decisively and then go out and stand there and ponder. Sure enough, the assignment of this question is illogical! I hurried to the teacher, and the teachers discussed it. They have no idea where to start. Finally, I gave a formula, which is an inequality. It is the equivalent relationship of dynamic resistance, speed and friction of the motion model in the problem. It is unreasonable to exceed the value of this formula. This is also the first time that I began to deduce physical logic. Besides, I relied on meditation. So although the teacher praised me this time, I denied myself. In addition, the teacher did not dare to stand up and tell his superiors that he had made a mistake in the exam, and finally the matter went away.
The effect of long-term autonomous learning is that teachers know "what medicine is sold in gourd" and know the theoretical model at the beginning of reading in class. I started to calculate in advance according to the known values, and finally I knew what to ask before the teacher finished reading the questions, so I quoted the answer at once. This aggravated my bad habit of not attending classes.
So I personally think that the more subjects you don't understand, the more you can't die of learning. Why? You didn't learn it, not because he did few questions, nor because he took few notes, but because the logical system and theoretical framework were not well laid. The best way to form a logical foundation is thinking, not writing. In my opinion, poor grades, buying books, doing problems, finding a tutor, staying up late and so on are the biggest stupidities, no matter from the perspective of education or study. The more questions you do, the more tutors you consult and the more notes you take, the more paralyzed and degraded your brain's logical thinking ability will be, leaving your hands and ears. Where can your brain create its potential? What's the difference between man and machine?
Therefore, don't do problems just to do them. Learning is not for doing problems, nor for grading. Learning is to make you understand and recognize nature more scientifically. Achievement is a test of your cognition. Never be busy for achievement, let alone tolerate the teacher's explanation. This is tantamount to chewing it in your mouth, and it is a far cry from letting yourself know how to yield in the planting process, how to grind the flour more finely in the milling process, how to make it more fragrant and delicious in the cooking process, and then eat it yourself.
It's hard to think for yourself at first, and it varies from person to person, but all you can figure out is the speed. But if you are a "good student", you will never learn to develop your own brain. Your brain thinking has not been improved, just like a storage disk, which stores more questions and more examples. Once you encounter logic that is beyond your talent, or more complicated than what is stored in your brain, you will become Barbie Q, and your thinking ability is like a person's physique and muscles. How to do it without practice? Even if your talent is average, as long as you develop the ability of logical thinking and analysis, you can compete with or even surpass those talents "cultivated" under the traditional education system.
My motto is: repeat Newton's path. My idea is to think like a savage without teaching materials and education. One day, two days, three days ... you don't have to worry about wasting time. When you get a clue, logic will take shape in your mind. Just like Newton, you can be on an equal footing with Newton in these fields, except that you are not living in Newton's historical period, or you are robbing Newton.
When you draw an equal sign with Newton in a field (of course, the scope of this field is as small as Newton's cognitive scope), then you will sneer at the questions in these broken books and textbooks and feel childish and bored. You're Newton. Does that shit interest you? Can it be a stumbling block to you? Bullshit!
You may say, you are not Newton. But you should know that if the logical difficulty span of Niu Epiphany is from 0 to 65438+ billion, and the total logical difficulty is 65438+ billion, then you only need to achieve a total of 500 to 600 within the difficulty range of 0 to 200, which is enough to win high school physics. So what if you are not Newton? Newton is a man, so are we. How can we not understand why in this small field? We're not idiots. What's more, we are born in the present, and the starting point of logical cognition is high. The demand for logical cognition in our high school is insignificant compared with Newton's total thinking. How can you not do it? There is only one reason: it has been delayed by traditional education methods.
Let me give you an example. In the first chapter of high school physics, there is a question that everyone can answer casually: what are the three elements of force? Size, direction, action point!
Then let me ask you, why is it "three elements" and why not two elements, five elements and eight elements? And why are these three factors such as size, direction, action point and not action time? Under the contemporary education mode, who among the students has thought about this? I wonder what the campus atmosphere is like now. Anyway, when I was thinking about these questions, my teachers and classmates called me crazy. In fact, I didn't ask others to tell me the answer at that time. Can I at least talk to someone who speaks the same language? The result is that the so-called teachers and classmates are changing, but the other party's reaction has not changed, scolding me.
It was such a wonderful idea that I couldn't help being laughed at at at once, but after the exam, this kind of smile was no longer a mockery. Why? I took the physics test for the first time in senior one. After I answered the question, I checked it three times. The invigilator saw me in a daze and came to urge me to continue answering questions. I'm too lazy to explain, just hand in the paper. Not far from the examination room, I heard the teacher excitedly shout to the teacher in the opposite classroom: "Boy, a classmate/kloc-handed in his paper in 0/9 minutes, and he has been sitting there for a long time."
As for the rules of the examination room where papers are not allowed to be handed in within half an hour ... I don't care, it's just an on-campus exam. Give me zero if you dare! This is the effect of independent thinking. It takes ten minutes to write all the answers after reading a test paper, right? This is the effect of sharp and skilled thinking. You will know what to ask in the middle of reading and write the basis directly. The calculation process can be omitted. Anyway, the focus of the score is the calculation logic and the final answer. The numerical assignment of examination questions is also easy to calculate, and the answer can be worked out without hands.
After this exam, I changed from a person with many questions in my mind to a person who never asks questions casually, but at the same time, I also changed from a person who will be laughed at when asking questions to a person who only needs to say one sentence and the teacher and the whole class will expect me to say the second sentence. The teacher is worried that I am stumped by a divergent question, and even more afraid that I will point out what is wrong with him. This class is the strongest in the whole grade, and they are all schoolmasters, but I entered through the back door. At first, everyone despised me. With this physical skill, I stand up straight. I always start to explain these physics problems of Xueba in the middle of reading. In the teacher's words, Xueba gets full marks, he gets full marks, and I get full marks, because the highest is full marks.
Far from it, my language logic is also a bad habit formed in those years. Pure stream of consciousness, thinking is wandering. In a word, think! Think about it! Not how many problems you can do. Don't think about the content of the textbook, look at the beginning of each section, know what you want to learn this year, and then think like a savage.
Of course, algebra is not much better for people like me who have made more mistakes than their own hair. Besides, I was a depressed person at that time. In addition to using brains in physics class, other classes are imagining all kinds of plots that can be written into novels, as well as exams in other subjects. I looked at the test paper as if I didn't know what was written in those gobbledygook books.