Is it necessary to do more questions and summarize more ways to learn high school mathematics?

The gaokao is not a math competition.

The test is all what the teacher said, believe me.

Trust your teacher, no problem.

I have seen a lot of students who usually don't do what the teacher says, and always think that the questions they find are better than the teacher, and many of them end up not being admitted to a good university.

Trust your teacher, this is the best way I learned in high school.

The important thing about high school math is not to do more and do it thoroughly! When I was in my third year of high school, I devoured textbooks and a reference book (of course, as well as the test papers issued by the teacher), and devoured them thoroughly!

How to say pinching, that is, when you are doing the test questions sent by the teacher, you can quickly reflect that you have a similar question in your reference book, to this extent, it is OK.

However, the premise is that you had better buy a reference book with all the questions and explanations in place, and you have to consult your teacher in this regard (don't be afraid to spend money).

My experience is that if you're not the kind of person you're particularly gifted, you're going to have to do a lot of work. Take the conic curve, which everyone has a headache in high school math, for example, I just finished a book of "Dragon Gate Topics", and as a result, I can basically deal with the conic curve. The premise of this method is that you need to know where your weak link is.

To learn high school mathematics well, you must do more questions, and you must also master the question type, because some questions, as long as the question type is different, the thinking and solution are different, and master the question type instead of the sea of questions.

After-class review reading: After-class review is an extension of classroom learning, which can not only solve problems that are still not solved in preview and class, but also systematize knowledge, deepen and consolidate the understanding and memory of classroom learning content.

After a lesson, you must read the textbook before doing your homework; After a unit, you should read the textbook comprehensively, link the content of the unit back and forth, make a comprehensive summary, write a summary of knowledge, and fill in the gaps.

Structure. Many mathematical objects such as numbers, functions, geometry, etc., reflect the internal structure of the successive operations or relations in which they are defined. Mathematics is the study of the properties of these structures, such as:

Number theory is the study of how integers are represented in arithmetic operations. In addition, it is not uncommon for different structures to have similar properties, which makes it possible to describe their state by further abstraction and then by axioms on a class of structures, and it is necessary to find the structures that satisfy these axioms among all the structures.

Refer to the above; Encyclopedia - Mathematics.

If students feel that their math foundation is not very good, it is important to pay attention to the exercises after class, as these exercises are relatively basic. If you're having trouble dealing with after-class questions, check out the section where the questions are located.

There is a concept of time in doing problems. For example, if the answer to a complete set of math papers is two hours, then it takes a full two hours to complete the paper, which can exercise the student's sense of time. In order to ensure the integrity of the questioning process, do not ask and answer all at once, which will ruin the feeling of doing the question.

Questions, correct answers, test points, and reasons for mistakes. Convenient for later review. Summarize the experience of making mistakes, and find out the methods and skills for solving such questions from the mistakes.

Be sure to choose to brush the questions and look for intermediate and advanced questions that meet your current level, rather than just grabbing a few question books and starting to do them. It is recommended that students in the third year of high school try to go to the bookstore to buy a real test paper of the college entrance examination in previous years. After getting this test paper, you can use the evening self-study time to study the above questions slowly.

If possible, you can prepare a special book for yourself on which you can write down a detailed analysis of each question, including multiple-choice questions. .Although the past college entrance examination questions may not appear again in the future, we are studying the way of thinking about the college entrance examination.

You can prepare yourself a book dedicated to error questions. If there are mistakes in the homework or test paper, be sure to try to sort them out in the wrong book. First write down the questions of these mistakes in the error book, and then write down the reason for the mistakes at that time, whether they were sloppy or didn't do it; Then write down the detailed analysis method of this question below, and at this time you can study it yourself and ask others; After completing the questions, you should look at the wrong questions every once in a while, which deepens your impression of the wrong questions; If you feel like you're sure about a problem, you won't make mistakes again. to cross out the question from the wrong paper.

If you encounter questions that you don't understand when doing homework or sorting out the wrong question book, you can put a conspicuous mark next to these questions and ask them in time with classmates who have studied better. After the inquiry, slowly digest the problem.

In high school mathematics, you must first do the problem by yourself, and if you encounter a problem that you can't know, you can have a specific idea of how to solve the problem, or mark the problem, prepare a mistake book, write it on it, and summarize more; When doing the questions, you must do it yourself, and then answer the answers, and you must summarize the questions in time, and learn to draw inferences from one another.

Do it in a targeted manner, rather than blindly grasping it to the end, which has no effect at all; For example, we find out the knowledge points that we don't know, and then after systematic learning, we can do a lot of questions on this type of topic, so as to draw inferences from one another, and think about the various knowledge points used in the topic when doing the problem, so that we can learn to integrate it.

The topics should be categorized, and you should master a way of learning for each topic, so that there will be great gains.

Everyone knows that there is a sea of questions tactic, so does it work in mathematics, can mathematics improve grades by brushing questions, and can you quickly learn mathematics to improve your score by doing more questions?

First of all, it is definitely not good to learn mathematics without doing problems, but blindly brushing questions or engaging in problem sea tactics in mathematics is not the best way to learn mathematics. Of course, there will also be some students who have mastered the mathematics learning method by brushing the questions, but that is through a large number of problems to get the feeling of doing the problems, which is not worth promoting. The best way is to combine theory and practice, summarize experience while doing questions, and check and fill in the gaps, so as to improve the score faster.

The process of mathematics learning should be to learn the formula theory first, and then test it by doing problems, and then summarize the ideas of each type of question after doing some problems, form your own unique theory, and then remember it, and then you can use it directly when you encounter similar problems in the future. Learning mathematics is a spiraling process, diverging from a small knowledge point, mastering more and more esoteric knowledge, and finally returning to the textbook for summary and sublimation.

If you blindly brush the questions, you have been practicing, without summarizing, like a headless fly, you don't know how much you have learned, so it will take a lot of time, although you can eventually learn mathematics, but the efficiency will be very low.

1 How to learn math in high school most effectively.

Mathematics can follow the teacher's progress, the first time you learn, all the questions have to be done seriously, because you can't judge which topics you know, which ones you can't, so you need to do the questions step by step, whether it is the most basic in the book or the paper issued by the teacher, you have to do it one by one. When you do it for the second time or buy your own review materials to do, you can pick a topic that you don't know how to do, and you can skip it directly at a glance.

When doing difficult problems, you should take the initiative to think, write out the learned formulas for later use, and then try to write the steps, no matter what method you use, as long as you can solve it, but you can't skip steps. There are many ways to do math problems, you can draw pictures, origami, etc., but the most fundamental thing is to have mathematical thinking, to have understanding, and what you realize will be more impressive. Even if you don't know how to do the question, you have to do it several times after the teacher has talked about it.

I think that high school mathematics should strengthen my understanding of knowledge, learn to use formulas better, and strengthen my logical thinking ability in mathematics; It is also possible to do more questions, which can quickly make you realize your shortcomings in mathematics, improve your mathematical ability, and strengthen your understanding of mathematics.

In the process of doing problems, we should pay attention to summarizing the solution ideas of various question types, and communicate with teachers and students in time when encountering problems; Yes, because you can learn about various question types by doing more questions.

Absolutely, you should see different types of questions, and gradually you will be able to apply all these knowledge points and deepen your understanding.

Introduction: There are a large number of problems waiting for us to do in high school mathematics, but do we have to do every problem? Not necessarily, some of the topics we have done thousands of times, we are already familiar with the solution routines, so we don't need to spend much thought, some of the topics are very novel, we have not been in contact with them, but it is very difficult, can we do it?

That's a problem. In addition, what should we do most after completing the problem? Do you memorize the answers and throw them aside?

Not at all. So how do you do it?

1.Selection of exercises.

Many students don't make choices at all when they do the questions, and do them as soon as they get them. In fact, the effect of doing questions without selectivity is not good, for the following reasons: first, some questions "change the soup but not the medicine", and blindly doing the same kind of questions will inevitably waste a lot of time; The second is that some of the knowledge points involved in the questions have already been mastered by the students, and repeating them is just a waste of time.

In fact, those students who are good at math are selective when they do their problems. For example, two of the students, Xin Chong, once shared their way of doing the questions:

When doing questions, you should do more of those parts where you have disadvantages, do those questions that you still have a vague understanding of some knowledge points, and do those questions that you have missed, so that you can have the greatest gain in a limited time. ”

It is important to remember that mathematics learning is not about achieving good results in any problem, but about doing it in a targeted manner based on your own actual situation in order to gain something.

2.How to do the question.

It is very important to learn mathematics and think about summaries. We should pay attention to thinking and summarizing each problem, and after doing it, we should recall our own ideas for solving the problem, and summarize the general solution of this type of problem. Only in this way can the problems you have done truly digest and absorb and become your own.

When exchanging learning experiences with some math masters, they often mention the need to think and summarize after doing problems. Let's hear from two of them:

I don't do it blindly, but I think about why I do it and why I come up with this answer

There is a legend in ancient China called 'turning stones into gold', saying that immortals can turn stones into ** with a little finger. When I was in middle school, I learned that just as you can't snatch all the stones that become gold, no matter how many questions you do, you will still encounter new problems that you have never been exposed to.

So, you just need to have that finger that can 'turn stones into gold'. Thinking, summarizing, and summarizing are the fingers, and with this, there is a solution to all problems'Way. ”

In daily life, we often have such a sentence: "It is better to teach them to fish than to teach them to fish." It means that it is better to teach others the skills of fishing.

The same is true for learning mathematics, if we compare all the problems we have done to delicious fish, then the methods and ideas for solving the problems are so that we can play the superb skills of fish. If you don't learn how to fish, it's very difficult to catch fish smoothly. Therefore, in the process of doing mathematics problems, we should pay attention to learning this ability and be good at summarizing the methods of doing problems, which is the most important part of learning mathematics.