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I would like to talk about the question of interest, mathematics is a scientific, rigorous, and abstract subject. If you want to cultivate interest.
The best way to do this is to make yourself successful, and no one is interested in fruitless labor, right?
Speaking of summarizing, I think you should be a person who can learn. First, we must pay attention to "live" in learning mathematics, only read books, do not do problems, only bury ourselves in problems, and do not summarize. For textbook knowledge, we should not only drill in, but also jump out, combined with our own characteristics, to find the best learning method.
In conclusion, I think we should downplay the form and focus on the substance. For example, the memory theorem, I usually memorize it in combination with graphics.
When I see a theorem, I imagine a general figure related to the theorem, and then express it in symbolic language. And whether or not the theorem is written word for word, I can't do it.
Two. Learn to summarize and classify from multiple angles and levels. For example, classification from mathematical ideas, classification from problem-solving methods, classification from knowledge application, etc., so that the knowledge learned is systematic, organized, topical, and networked.
Third, in addition to summarizing mathematics learning habits, it is also important to have the habits of mathematics learning masters: questioning, thinking diligently, being hands-on, re-inducting, and paying attention to application.
Four. Mathematician Hua Luogeng's reading experience is: learning mathematics must be from shallow to deep, step by step.
For the basic essentials, basic principles, and basic arithmetic skills of mathematics, we must firmly grasp and skillfully use them, and we must have determination and perseverance, persist in it, and strive to practice the basic skills. Another lesson is that "thick books" should be read as "thin books".
He said: "Before you read a book, you will feel that the book is so thick, but when we really have a thorough understanding of the content of the book, grasp the main points of the book, and grasp the spiritual essence of the book, we will feel the feeling of the book becoming thinner, and this change from 'thick' to 'thin' is also a sign of thoroughly digesting the content of the book."
I was a math teacher in junior high school. To sum up, ask more + practice more + summarize more = math master Believe me, as long as you do what I say, success will not be far from you.
Only when success surrounds you can the so-called interest arise.
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Chinese, English: Read more about the content in the textbook.
Mathematics: Focus on the last four major questions.
Physics: Focus on large-scale experiments.
Chemistry: Small broken points, do more questions, see more and know more about the question type.
All in all, in a nutshell – do more questions, read more books!
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Pay attention to the basics and take out the test questions that the teacher has taught before. In the exam, you must get points for all the questions you can do, and as for the finale questions, you can do one or two questions. If you get both basic and intermediate questions right, you can score 100 points in math.
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Actually, math is still relatively easy to learn, and I am also a junior high school student, so doesn't the teacher often send out papers? Every paper must be made carefully, when you encounter a problem, you must think carefully about it first, don't ask others immediately, think about the relevant definitions or theorems in your head (our teacher asks us to memorize the definition every day), if you really can't, you can ask the teacher, but the premise must be to read it a few times first, so as not to tell you when the teacher tells you, you can't quickly keep up with the ideas, the most important thing is that you must do the wrong questions several times, and you must understand what you have learned. In fact, the last two questions of the exam paper are very difficult for us, probably because of the tight time of the exam, which causes our thinking to be a little flustered, but I don't know if you feel the same way, after each test, when the teacher talks about these two questions, our thinking is very clear, and we will suddenly find that these two questions are so simple, and we are very annoyed why we didn't think about it at that time.
But it all comes down to the question sea tactics, which is really practical, when we see a question, we will know the answer, and that feeling I experienced in elementary school, it feels good
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Bibase = 100
Hard work + diligence + aptitude = 20
Look at your last few items.
Talent is the most minor.
It's better to be diligent.
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Don't be afraid, just do more exercises, mathematics is practiced, do more will naturally be proficient, the most important thing before the exam is to relax, let the brain fully rest The results of the test are naturally good.
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Do more questions and play less on the computer.
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Memorize the formula, and then do some problems with the formula.
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Do various types of questions in a planned way, according to some of the teacher's requirements. Don't ask too much for it.
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First, we should pay attention to the review of mathematical concepts. Concepts are the foundation of mathematics, and reviewing concepts is not only to know what they are, but also to know why they are. For each knowledge point, we must know how it came to it and where it was used on the basis of keeping in mind its content, only in this way can we better use it to solve problems.
Second, we should pay attention to listening to lectures in class and summarize and organize them in a timely manner after class. When you take a review class, you should follow the teacher's ideas, actively think about the following steps, and listen to the lecture to be hands, mouth, eyes, ears, and hearts. After class, students should complete their homework carefully and independently, and be diligent in thinking.
After class, you should summarize and sort out the test papers and exercises you have done in a timely manner, and prepare a set of mistakes for some questions that are easy to make mistakes, and write out your own solution ideas and correct solution process.
Third, it is necessary to do more questions appropriately, develop good problem-solving habits, and improve problem-solving ability. If you want to do well in mathematics, it is inevitable to do more questions. At the beginning, you should start with the basic questions, practice repeatedly to lay a good foundation, and then find some improvement questions to help you develop ideas, improve your analysis and solving skills, and master the general rules of problem solving.
It is necessary to summarize the basic solution ideas of various common problems, such as: graphic movement, graphic transformation, inductive exploration, classification and discussion, etc. Understand, be familiar with, and master the characteristics, rules, and basic problem-solving ideas of these question types, and improve the problem-solving ability through a certain number of exercises, and then summarize and train again.
Fourth, there are some skills that need to be mastered during the exam. When the test paper is sent, you should first take a rough look at the amount of questions, allocate time, if you take too much time to solve a question and have not found an idea, you can put it aside for the time being, you will finish it, and then go back and think carefully. For a question with several questions, you can use the conclusion of the previous question when answering the following question, and even if the previous question is not answered, as long as the source of this condition is clearly stated, it can also be used.
In addition, when taking the exam, you should be calm, if you encounter a problem that you will not know, you may wish to use a self-consolation psychology, which can calm your mood, so as to play your best level, of course, comfort is comfort, for those questions that can not be done at once, you still have to think hard, try to do as much as you can, and certain steps are also scored.
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1. Be diligent in reviewing.
Be diligent and hands-on: don't look at the questions, be sure to calculate, write down the knowledge points that you don't know, and write them down in your notebook.
Speak diligently: If you have any questions, you must ask the teacher, time waits for no one, and there is no time to waste. And learn to discuss problems with classmates.
Be diligent and use your ears: You must listen to the review class taught by the teacher, don't think that this question will be, the teacher can skip the number, and you must know that you can learn new things by reviewing the past.
Diligent brain: good at thinking about problems, thinking positively about problems - absorbing and storing information.
Exercise your legs: Don't participate in too strenuous exercise to prevent injuries from affecting your studies, but you can exercise and jog for 30 minutes every day to get to your best.
2. How to solve multiple-choice questions.
1. Direct method: According to the conditions of the multiple-choice questions, through calculation, reasoning or judgment, the final result of the question is obtained.
2. Special value method: (special value elimination method) Some multiple-choice questions involve mathematical propositions related to the value range of letters;
When solving this kind of multiple-choice question, you can consider selecting a few special values from the range of values, substituting them into the original proposition for verification, and then eliminating the wrong ones and retaining the correct ones.
3. Elimination method: return the four conclusions given by the question to the original question stem for verification one by one, and eliminate the errors until the correct answer is found.
4. Phase-out method: If we do not do it in one step in the process of calculation or derivation, but step by step, we adopt the strategy of "take a walk and take a look";
Each step is compared with the four conclusions, and the impossible is eliminated, so that the three wrong conclusions are all eliminated if the last step is not taken.
5. Combination of numbers and shapes: according to the internal relationship between the conditions and conclusions of mathematical problems, it not only analyzes its algebraic meaning, but also reveals its geometric meaning;
3. Commonly used mathematical thinking methods.
1. The idea of combining numbers and shapes: according to the internal relationship between the conditions and conclusions of mathematical problems, it not only analyzes its algebraic meaning, but also reveals its geometric significance;
Combine quantitative relations and graphics skillfully and harmoniously, and make full use of this combination to seek disintegration ideas and solve problems.
2. The idea of connection and transformation: things are interconnected, mutually restrictive, and can be transformed into each other. The various parts of mathematics are also interconnected and can be transformed into each other.
When solving problems, if the mutual transformation between them can be properly handled, it can often be difficult and simple.
Such as: substitution transformation, known and unknown transformation, special and general transformation, concrete and abstract transformation, part and whole transformation, dynamic and static transformation, etc.
3. The idea of classification discussion: In mathematics, we often need to examine it in various situations according to the differences in the nature of the research object;
This method of categorical thinking is an important method of mathematical thinking, and it is also an important problem-solving strategy.
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In the process of learning mathematics, it is necessary to have a clear sense of revision, and gradually develop good revision habits, so as to gradually learn to learn. Mathematics review should be a reflective learning process. Reflect on whether the knowledge and skills learned are up to the level required by the curriculum; It is necessary to reflect on what mathematical ideas and methods are involved in learning, how these mathematical ideas and methods are used, and what are the characteristics of the application process; It is necessary to reflect on the basic problems, including basic graphics, images, etc., whether the typical problems have really been understood, and what problems can be attributed to these basic problems; Reflect on your mistakes, find out the causes of them, and formulate corrective measures.
You can prepare a math learning "case card", write down the mistakes you usually make, find out the "**" and prescribe the "prescription", and often take it out to see, think about the mistake, why it is wrong, how to correct it, through your efforts, there will be no "case" in your mathematics when you take the high school entrance examination. And mathematics review should be carried out in the process of applying mathematical knowledge, through the application, to achieve the purpose of deepening understanding and developing ability, so in the new year under the guidance of teachers to do a certain number of mathematics problems, so as to do the opposite.
3. Skillfully apply and avoid the tactics of "practicing" instead of "repetition".
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Junior high school mathematics is still relatively simple, and the question types in a book are roughly classified. Module-by-module review. Or sell a set of rolls.
If you put your mind to math, you won't be disappointed. (*
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It is right to have a firm grasp of the knowledge points in the third year of junior high school, and practice makes perfect after it will be integrated, so that you can learn the third year of mathematics well.
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Specific questions, specific analysis, you have to take a picture of the book table of contents to me.
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1. On the basis of studying the "Syllabus" and studying the textbooks, prepare for the review class, and pay special attention to the clear teaching objectives.
2. In teaching, it is necessary to fully reflect the position of teachers leading and students as the main body, so as to prevent teachers from inappropriately inspiring and guiding, and to prevent teachers from speaking with eyebrows and students from listening indifferently.
3. Pay attention to the analysis of the problem, grasp the key points and difficulties, speak in a targeted manner, use the fine lecture to highlight the key points, disperse the difficulties, and do not need teachers to talk about "this is very important, must be mastered", "this is a difficult point, to do more and see more" and so on, only let students unconsciously understand your teaching intentions, your teaching can be regarded as successful. Therefore, as teachers, we must pay attention to strengthening the cultivation of our own quality, so as to receive the effect of "lifting weights as light" in teaching.
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Make a well-crafted plan and have a firm grasp of the fundamentals and essential skills. In the process of revision, students should carefully formulate a review plan around the content and systematic knowledge points specified in the new curriculum standards. Students are expected to:
1. The basic concepts, laws, formulas, and theorems should not only be correctly described, but also flexibly applied;
2. The practice questions after the textbook must be passed one by one;
3. The review questions at the end of each chapter should be able to be completed independently without missing a question.
The knowledge points are systematized and the problem-solving methods are systematized. Through categorization, comparative review is empty, block exercises and comprehensive exercises are intersected, so that you can truly grasp the content learned in the textbook. Specifically, it should be done:
1. Know the solution methods of common question types;
2. Pay attention to the mathematical ideas and methods contained in these topics;
3. Pay attention to the new question types in the high school entrance examination in recent years.
Pay attention to the appropriate amount of practice, and the method of solving problems is systematic. At this stage, in addition to paying attention to the key chapters in the textbook, students should also focus on exercises and give full play to their main role. It can be based on chapter comprehensive exercises and comprehensive exercises that reflect systematic knowledge, so as to check and fill in the gaps, consolidate the review effect, and achieve the purpose of self-improvement.
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