How to learn advanced mathematics well, how to learn advanced mathematics to learn well

First of all, understanding the example questions and being able to do the questions are two different things, so don't mix them up. Understanding the example questions can only say that you understand other people's thoughts, but not necessarily thoroughly (note that they are thorough). If you don't believe me, you will encounter a lot of details when you close the book and do the example questions in the book.

To give you some advice, see the example problem first do it yourself, and then compare it with the method in the book, so the effect is good.

Secondly, learning is not just about reading, but also about communication. If you don't understand the question, you can talk to your classmates, and your classmates won't ask the teacher.

Finally, buy a tutorial book and do it yourself. If you don't know how to do it, look at the answers, and if you don't understand the answers, ask the teacher. Mathematics is done, it is asked, not seen, and there is no shame in asking if you don't understand.

It is necessary to change the idea of imitating the example questions in high school, pick out the definition, understand the key part of the definition, grasp the essence of the problem, and focus on the idea of thinking and the second skill.

I'm not the same on the first floor. The main thing in college is the exam. Of course, the real ability is what I said upstairs, but it's not right to do well in the exam. Therefore, it is necessary to learn mathematics like in junior high school, and university teaching emphasizes ideology, but the exam ignores you:

1: Read familiar books (impossible to understand thoroughly), 2: Don't make this homework too difficult to have answers and analyzes, don't have too much homework, it's to be fine, 3:

Do the previous test papers,You should be able to get it.,And then analyze the test papers on which types are general.,You have to dig deep into each type.,If you don't understand.,It's the first two steps of work that didn't do it home.,Again.。 Or ask someone which is for the best.

4: Finally, remember me: the university exam is not difficult, you should be careful when it is critical. Be careful and careful.

If you want to understand the principles thoroughly, you should read more textbooks and even professional mathematics textbooks.

If you just want to solve the problem, then buy the test materials to do the problem and practice more.

Ways to learn advanced mathematics well: note-taking, post-class questions.

1. Take notes. The difficulty of advanced math may be that you can't keep up with the class if you listen carefully, so at this time you can choose to preview and take notes before class. This is a very effective method, find some notes on the Internet and combine them with textbook preview, and take notes yourself.

Then when the teacher talks again, you will understand and memorize to a large extent, plus some exercises on the topic, you basically don't have to go back to review it often.

2. Post-class questions. Don't stop at theoretical knowledge, we must do it in practice. Don't look down on your hands and think you're going to be over. The exercises assigned by the teacher must be done by hand, do not copy the answers, and do the calculations over and over again.

3. Try to sit in the first row. Universities are big classrooms with a ladder, there is no fixed location, and it is very important to have a good attitude towards learning, and being in the first row is not only a serious learning attitude, but also helps us to make us less distracted. Only with a good learning attitude can we have a good learning spirit, and only then can the efficiency of the school go up.

Study Tips:

1. Learning mode. According to the progress and syllabus of most schools, the sequence, function limit, continuity, and unary differentiation have been completed in just half a semester; Not only does the exam cover everything that has been taught, but the teacher doesn't do much extra emphasis – all the exercises, revisions and tests have to be done by themselves.

At the same time, the sum of the amount of questions in exercises, assignments and quizzes is far less than the proportion of questions brushed in secondary schools. In such a situation, students should quickly change their learning mode, find exercises to brush after class, and regularly check whether they clearly understand the teaching content; The best way is to strike while the iron is hot at the end of each class and do the actual work.

2. Thinking ability. Before each question, you should fully understand the theoretical framework in the book, list the important objects and theorems, hide the definition and proof content, and reason by yourself to establish the system in the book. Details such as which proofs are not required, the sequence of certification steps, and so on, must be fully implemented.

At this point, you will find that the specific example of "only if you work hard enough can it seem effortless" - the teacher's deduction in the classroom seems to be very smooth, but it is much more difficult to do it yourself. The best way to do this is to ask your classmates to explain and ask questions to each other until everyone is fluent. After that, it will be much easier to do the exercises.

3. Specific examples. Many students find the content of advanced mathematics very abstract or difficult to understand, but in fact, this is the common feeling of learning mathematics: the more powerful and advanced mathematics is, the more abstract it is.

A great way to do this is to test and try with a lot of concrete examples. This idea has also been repeatedly emphasized by many great mathematicians, and many seemingly esoteric and profound theories are very easy to accept and understand with some classic and specific examples.

In short, you have to listen carefully in class, take good notes, review the textbook several times after class, and master the knowledge points of proficient high mathematics with the exercises in class.

If you just want to score, do more exercises. Or it would be nice to read the book after class, finish your homework, and do something else.

I'm sorry, I can't help you.

Senior 1 Mathematics is mainly a compulsory part of high school mathematics, including compulsory 1, compulsory 2, compulsory 4 and compulsory 5, and its teaching order is different in different regions. Basic knowledge is particularly important in the study of mathematics, and the academic performance of these four books determines the direction of the future development of mathematics performance, so it is even more important.

Senior two mathematics is mainly an elective part of high school mathematics, but it is necessary to learn a compulsory 3, and after the completion of compulsory 3, it is the study of elective content, mainly elective 1 and elective 2 series, its Chinese study elective 1, science study elective 2.

Mathematics in the third year of high school is an overall review of high school mathematics, the content is the content of all high school learning, its purpose is to review the knowledge, for the previous learning of the good place to have a review effect, for the previous learning of the place to have a chance to re-learn, that is, we call the supplementary learning loopholes, and different students' knowledge loopholes are not the same, this is the time in less than a year how to plug the hole has become the top priority for students.

The traditional large class model is basically around 50 students. Due to the different levels of basic knowledge of different students, different analysis methods and ideas, the efficiency of listening to lectures in the classroom is actually very low. The one-on-one personalized tutoring can interact with the student's response in a timely manner according to the student's own knowledge level, receptivity, and analysis ideas and methods, so as to truly achieve high learning efficiency.

The teachers of Hallym Education are all front-line teachers of the school, with rich experience, unique explanations, comprehensive analysis of learning ability from all angles and multiple angles, and the development of personalized teaching plans to teach students according to their aptitude. For a test question, we generally provide two or three analysis methods, according to the different cognitive characteristics of students, on the basis of students' own analysis ideas, to explain the test questions. Make full use of the existing knowledge and methods of the students themselves.

If you are confident in your self-learning ability, you should do the homework questions well, on the contrary, you should take the class seriously and buy a reference book to do the questions well

Math is made!

Read more textbook reasoning and put the high math after-class exercises aside

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