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If mathematics is understood as memorization, it is inappropriate, the study of mathematics is not only memorization, it can even be said that mathematics is not memorized, but to really understand, through understanding, and continuous application, to form their own thinking, in order to really learn mathematics well. Here, I would like to mention a few points about my construction.
First, you must carefully analyze and understand the basic knowledge in the book, such as formulas, as well as some definitions and concepts.
Second, to thoroughly understand the example questions in the textbook, the example questions are very simple, but it is the refinement of book knowledge, which is consistent with our book concept, not only to be able to do, but also to know which knowledge points it is related to, but also to know how to use it, the entry point is in**.
Third, there are four main aspects of reflection and summary, one of which is to pay attention to basic training; Second, it is necessary to thoroughly understand the important questions (such as those related to knowledge points or important question types), so that you can know what is going on when you see it; Third, to position yourself well, we must sort out the important and difficult points, conduct comparative analysis, and summarize and sort out; Fourth, we must develop good habits, we must pay attention to every detail, don't always look back and find out what shouldn't be wrong, usually do questions (do homework and do test papers by yourself) to have a sense of time, to pursue accuracy and efficiency.
Mathematics must be practiced more, the problem must be investigated, you can't eat raw rice, every time you barely understand, otherwise every time you encounter it, you have no bottom in your heart, and you must cultivate the logical and analytical thinking of mathematics. Learning is a process, bad habits must be broken, and perseverance will definitely be rewarded.
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One is to understand the formula theorem; the second is to master the trick; The third is to do more and practice more!
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If you want to solve the problem quickly, you can only do more questions.
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How to memorize math concepts faster? Hello, the faster way to memorize math concepts is 1Categorical memory method is to classify and classify materials according to their nature, characteristics and internal relationships, so as to help students memorize a large amount of knowledge.
For example, after learning about units of measurement, you can summarize everything you have learned into five categories: units of length; Area Units; volume and volume units; Units of weight; Units of time. This classification can systematize and organize complex things, and it is easy to remember Duan Zhen Li Yi.
2.The method of memorizing songs is to compile the mathematical knowledge to be memorized into songs, formulas or slips, so as to facilitate memorization. For example, the method of measuring angles can be made up of such a few words:
On the angle of the protractor, the center is aligned with the vertex, the zero line is facing one side, and the other side is looking at the degree. Another example is that the movement of the decimal point causes the size of the number to change, "Please follow me with the decimal point, and you must find the 'left' and 'right' before walking."The horizontal skimming mouth is you, expand to you and walk around; Add a zuo horizontally, shrink and walk towards zuo; Ten times one step and one hundred times two steps, the number is not enough to find the '0' pull hook. "With this method of memorization, students not only like to memorize, but also remember well.
3.Regular mnemonics. That is, according to the internal connection of things, find out the regular things to memorize.
For example, it is necessary to memorize the units of length, area, and volume. The chemical method and the poly method are inversely related, that is, the numerical advancement rate of the high-level unit = the numerical value of the low-level unit, and the numerical advancement rate of the low-level unit is the high-level unit.
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Of course not. To learn mathematics, you must be good at thinking and pay attention to learning methods.
You must be serious in class and don't let yourself slip away. Because the teacher is planned and focused on guiding learning. Read more extracurricular books to improve your reading skills. Think more and use your brains more when you encounter problems.
When you read, don't think, "What if I fail again?" "This kind of question; Also, don't pay attention to other people's eyes, even if you are a high 5 or 6
It's better to dare to work hard than to be content with the status quo.
Once you've decided to read a book, you should get into the mood right away and take advantage of this summer vacation to revise. If you relax the key posture and come back to review it after two months, it will probably take 4 months to return to the previous level. And reviewing ahead of time can help you get into the groove faster when school starts.
In the face of the usual test scores, if it is not good, you should be glad that this is not the college entrance examination, and you can remedy it. Each subject should have a notebook dedicated to the questions you have done wrong, so as not to fall into the same pit again and again. If we can bravely choose to repeat it, we are worthy of ourselves!
No matter what the result is, as long as you give it your all, you should have no regrets! (Remember, it's a matter of attitude to repeat with all your might, not to do your best.)
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The formula must be memorized, but Qiaozhen is not rote memorization, so it is useless to eliminate it. The key is to understand, if you don't understand, you will not use it if you memorize it. This requires more questions, forming a feel, and problem-solving thinking.
With a large number of problem training, the formula will not be memorized. Therefore, learning mathematics focuses on practice, and I personally think that problem writing is the most important thing, and no one can learn mathematics well if you don't do too much problem.
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Hello Shanyun, learning mathematics is not so simple, and it is in vain that you will not be able to apply the formulas after memorizing them, but if you are not familiar with the core of the formula, it is that you have not even mastered the most basic ones.
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No, the first memorization formula is only the first step, the second step is to use the formula flexibly, and the third step is to extract the conditions from the problem to match the formula.
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The formula is just the foundation, you have to be able to use the jujube belt, ah ......Otherwise, I will be given a question, how do you know whether to use trigonometric functions, the Pythagorean theorem or hyperbolas?
Anyway, it is necessary to do more questions, summarize more knowledge points and wrong closed burning questions.
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No, you still have to understand the formula, practice more and use it proficiently.
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This is a big problem. It's not that simple in general. To paraphrase the formula!
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Formulas are the foundation, and even complex math problems are transformed from basic mathematical formulas.
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Mathematics problems must be memorized formulas, but also to do more pre-question infiltration, and to learn to draw inferences, learn to comprehensively appreciate the use of confession, and not simply rely on formulas to learn to calculate.
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Yes, indeed. For any problem, you must apply a formula.
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Basically, it's not like that.
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Memorization and proficiency are two different things, and doing more questions is the best way to learn to use formulas.
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The basics are fine, but it's much easier to do the questions. It is still necessary to combine more exercises and do them at the same time
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You'll have to review the questions and then you'll use the formulas. It's perfect to do so.
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Read the question, review the meaning of the question, organize your thoughts, and mark it as you go.
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When you see the questions, you have to think of the test center, and answer them according to the test center, you can't blindly ask for answers, all the questions are deepened by the example questions in the book, change, and change from the original, and mastering the content of the book is the most important thing!
Also, you must be careful when you look at the question, when you can't solve the problem, you can read the question again, which is very useful!!
Shooter 10086 years of personal experience!!
Willing to adopt.
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Repeating the practice, Liu Hongtao, a teacher from Weifang No. 1 Middle School, said: "A question that you don't know at all, as long as you repeat it 7 times, you can do it well." I think there are two main points in this sentence:
1.When doing a problem, you must use it as the first time to solve the problem, and you can find a good solution by using a variety of methods. 2.
When solving problems, we should pay attention to the association and expansion of this part of knowledge. For example, to solve a series of problems, we may use mathematical induction. Counter-evidence.
Second, mathematical induction. Reasoning by analogy. Adjustment method.
Construct. A variety of problem-solving methods such as set inversion.
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Understand, must understand. What method was used to solve the problem? Think about how to do this kind of problem and how many ways to solve it. If necessary, it can be asked several examples.
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There is nothing in mathematics problem-solving skills, that is, you must be familiar with familiar formulas. There is also the need to know how to change your way of thinking, and some problems you must think along with them, and often think backwards, and you will have better ideas. Math problems are also developed from easy problems, practice more math problems.
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2. Experience Mathematical Methods and Ideas After solving the problem, we should pay attention to thinking about what kind of mathematical method is used in the problem and what mathematical ideas are infiltrated in order to achieve the opposite.
Third, the purpose of contact bypass. The commonly used mathematical methods mainly include: (1) matching method (2) commutation method (3) undetermined coefficient method (4) definition method (5) mathematical induction method ( 6 ) parameter method ( 7 ) counterproof method ( 8) construction method ( 9 ) analysis and synthesis method ( 10 ) special case method ( 11 ) analogy and induction method .
The commonly used mathematical ideas in high school mathematics are: (1) the idea of combining numbers and shapes, (2) the idea of classification and discussion, (3) the idea of functions and equations, and (4) the idea of transformation and naturalization. Frequent such thinking and analysis is conducive to a deep understanding and application of knowledge, and to improve the ability to transfer knowledge.
3. One problem with multiple solutions and multiple problems with one solution.
When solving problems, don't just be satisfied with solving the problem, but also consider whether there are other solutions. Frequently trying a variety of solutions can exercise the divergence of our thinking, cultivate our ability to comprehensively use the knowledge we have learned to solve problems and the awareness of continuous innovation. Think about how to solve this problem, and what problems can be solved.
The backgrounds of these problems may vary widely, but the mathematical methods used to solve them are the same. This kind of thinking can help us see the essence of the problem and greatly improve the ability to solve the problem.
4. Variation and Expansion of the Topic After solving a problem, you can also make appropriate changes and expansions to it. The main conditions of the topic can be changed, including the strengthening of conditions and the weakening of conditions, the exchange of conditions and conclusions, etc. Changing the conclusion of the topic is mainly the deepening and extension of the conclusion.
A question is changeable, which is conducive to broadening horizons, broadening the idea of problem solving, improving adaptability, and effectively preventing the negative impact of mindset.
5. Summary and Recording of Mistakes After solving the problem, it is necessary to think about the places that are easy to mix and make mistakes in the question, summarize the experience of preventing mistakes and the lessons of making mistakes, and make a record of mistakes if necessary.
Do a good job in a topic, make full use of the training function of the topic, and over time, you will realize the truth of "the problem is not too many but fine".
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1. Be familiar with the formula and clarify the key points of knowledge.
2. After mastering the key points of knowledge, do the questions again to help you check and fill in the gaps, think and summarize repeatedly for what you have done wrong, prepare a collection of wrong questions, record them, and read them from time to time.
3. When you forget the formula, you must not turn the book immediately, first try to recall it yourself, so that you can remember it well, otherwise you will not be able to remember.
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Copy the key sentences in the textbook and find some representative topics to do.
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An algebraic formula is a sub-formula, not an equation.