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Mathematics is a very comprehensive subject, and all natural sciences (such as physics and chemistry) are inseparable from mathematics.
At the same time, mathematics is one of the most difficult subjects, requiring both arithmetic and logical thinking skills.
I don't know if you're a high school student or a junior high school student, so I'm going to talk about it in general terms.
1.。。First of all, mathematics must be practiced.
Unlike liberal arts subjects, mathematics can only be improved by practicing more, and the best time of day to learn mathematics is between 2 and 4 p.m.
This is the best time for logical thinking skills, you can practice for your weaknesses, for example, if you are not good at the number series, you can do a few number series problems every afternoon, and then check the answers carefully, reflect on why you are wrong, and then think about whether there is a better way (which is very important), and think about the solution to the problem by summarizing this kind of problem. Draw inferences from examples.
2.。。It's about persistence.
No matter what you do, persistence is the most important thing. It may not be effective at the beginning, and some people will give up, and such people will not succeed in their lifetime, and only by persevering can they achieve something.
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Hello,, It's a bit difficult for math that has just come into contact with junior high school,, But it's not unsaved.。。 In junior high school, the most important thing to learn mathematics is to rely on your own understanding to solve some problems, of course, this also requires some assistance from the teacher.
First of all, you can review the content to be taught before the teacher teaches a new lesson, and after that, you can take some corresponding topics to do and see, to see how much you can understand, and if you don't understand it, you can listen carefully in the course of the lecture when you come to school, until you understand... And when it's usually fine,,,Also do more questions,,It's better to be more basic,,When the ,,, that suits you is about the same,,, you can try to challenge some more difficult questions.。。。
Hope you find these suggestions helpful!!
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There are many ways to do this, and the key is to find the one that works for your child.
The first thing is to find out the reason why the child does not learn well.
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Only by cultivating an interest in it can you learn it well.
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The subject of mathematics is sacred, the result of the research of countless scholars. It not only gives a lot of help in our daily life, but also plays a huge role in promoting the progress of human economy and society. Therefore, it is very important for us to learn mathematics well, so how to learn mathematics well in junior high school?
Pay attention to listening to lectures in class, and review them in time after class
During class, you should closely follow the teacher's ideas, actively think about the following steps, and compare your own problem-solving ideas with what the teacher said. In particular, it is necessary to grasp the learning of basic knowledge and basic skills, and review them in a timely manner after class without leaving any doubts. In each stage of learning, it is necessary to sort out and summarize the points, lines, and surfaces of knowledge to combine and weave them into a knowledge network and incorporate them into their own knowledge system.
Do more questions appropriately and develop good problem-solving habits
If you want to learn junior high school mathematics well, it is inevitable to do more problems, and be familiar with the solution ideas of various types of questions. At the beginning, you should start with the basic questions, take the exercises in the textbook as the standard, practice repeatedly to lay a good foundation, and then find some extracurricular exercises to help you develop ideas, improve your analysis and solving skills, and master the general rules of problem solving.
If we want to learn junior high school mathematics well, it is first of all a matter of interest, and learning interest is a very important thing, how to cultivate our interest in junior high school mathematics learning? First of all, what we have to do is to adjust our emotions, many students mention the word mathematics, negative emotions immediately appear, so that you don't need other people, you have already given up on yourself! Therefore, if you want to learn junior high school mathematics well, the most important thing is to adjust your emotions, and only with positive emotions will you have efficient learning.
First of all, we should focus on the basic knowledge, basic skills, and basic methods of junior high school mathematics, because the vast majority of each exam is also a basic topic, and for those difficult and comprehensive topics as an adjustment, think carefully, try to figure yourself out, and summarize after completing the questions.
Adjust your mentality, make yourself calm at all times, think in an orderly manner, and overcome impetuousness. In particular, I must have confidence in myself, always encourage myself, no one can knock me down except myself, I must have my own pride, and no one can break me.
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Therefore, it is very important to develop good study habits. Here are some ways to learn math in junior high school.
(1) To learn junior high school mathematics well, you need to develop the habit of reading textbooks
Stollyar, a mathematics educator in the former Soviet Union, said: "The teaching of mathematics is also the teaching of mathematical language". Concise mathematical language and rigorous sentences; Therefore, the only way to do this is to read and analyze every sentence, every concept, and every diagram carefully to understand its content and meaning.
Only then can we appreciate the mathematical ideas and methods, and correctly analyze the logical relationship between them according to the mathematical principles, so as to achieve a true understanding of the materials and form a knowledge structure.
(2) To learn junior high school mathematics well, it is necessary to cultivate the habit of "wanting to listen, being able to understand, and knowing how to listen".
In order to listen, we must understand the meaning of learning mathematics: in the years of mathematics study, the absoluteness of mathematical truth, the reliability of mathematical conclusions, the accuracy of mathematical calculus, and the rigor of mathematical thinking have penetrated into our minds bit by bit, which will play an important role in our later life course. In order to be able to understand, it is necessary to preview in advance and stay focused; To know how to listen is to understand the key points of the lecture.
(3) To learn junior high school mathematics well, you need to develop good homework habits
Before doing homework, you should review and consolidate the concepts, theorems and properties you have learned, and associate the classic examples that the teacher has taught. When doing the questions, one should look at the accuracy of the questions, that is, the words, mathematical formulas, mathematical symbols, etc. are not read, read less or omitted; Second, it is necessary to distinguish clearly, that is, to be able to distinguish the conditions and conclusions of the topic. The question is associated with the knowledge points it examines.
1. Do a good job of previewing: read carefully during the unit preview, understand the learning content of the recent stage, read carefully during the class preview, pay attention to the formation process of knowledge, and make records of difficult concepts, formulas and rules, so as to listen to the class with questions. Insist on previewing, find doubts, and change passive learning to active learning, which can greatly improve learning efficiency, and interest is the best teacher.
2. Listen carefully: Listening to the class should include listening, thinking and memorizing. Listen, listen to the ins and outs of the formation of knowledge, listen to the key points and difficulties (remember the doubts in the preview?)
Listen more carefully), listen to the solutions and requirements of example problems, listen to the mathematical ideas and methods contained in them, and listen to the class summary. One is to be good at association, analogy and induction, and the other is to dare to question, ask questions, and make bold conjectures. Remembering, of course, refers to class notes, isn't it effective to remember more?
If it affects the lecture, it is better not to remember, what to remember, when to remember, but there are learned miles, remember methods, skills, doubts, requirements, notes, remember after class, and remember to organize notes after class.
3. Solve problems carefully: Classroom exercises are the most timely and direct feedback, you must not miss it, do not rush to complete the homework, look at your notebook first, review the learning content, deepen understanding, strengthen memory, it is very important.
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I will learn Chinese first, and I will be learning mathematics, so I will ask you a question and give you a piece of A4 paper, can you fold a square? As a full score in mathematics from childhood to adulthood, I will use the square as an example of the basic knowledge point of junior high school, I hope that after listening to it, you can realize where the core of learning mathematics is located, you save it, and let the child listen to it if you have the opportunity, and it will be very rewarding.
To draw inferences, the principle must be understood, I believe many people know, just fold it to get a square, why is it a square folded out like this, can you prove it? Many children can't answer here, and then I ask a series of questions, is the diamond a square? Is a parallelogram a rectangle?
Is a square considered a parallelogram? If there is a parallel source macro quadrilateral with equal adjacent edges, are all four of its sides equal? If there is a quadrilateral and its opposite angle is a right angle, is it rectangular?
Mengha, if you feel Meng, don't guess the problem first, because the more you brush, the more messy it is, it means that the understanding of the basic graphic nature is not familiar enough, and what you have to do at this time is three. bi li2 three brush questions, the first part is called Li concept, down-to-earth to each kind of graphics according to the corners, diagonals, symmetry to do analysis, induction, summary, to understand the relationship between them to contain and be included, pay attention not to be a ready-made summary, to list an air conditioner, a summary, and then to compare with the content of textbooks, reference books, I did not summarize or summarize the wrong is my own easy to make mistakes, marked out with a red pen, this is the easy point of confusion during the exam.
Draw examples, seriously draw each feature of ** on paper, especially the concept that is easy to make mistakes to draw out the rebate, for example, the diagonal is a right angle, the quadrilateral must be rectangular? Not necessarily draw out the rebate. Through this kind of interchange, the abstract concept is graphic.
What to brush the question? Brush the basic concept questions, my experience when I was in school was to ask my mother to help me buy all the tutorial books I could find on the market, and then I only brushed this piece of paper, brushed the multiple-choice questions and judgment questions of the basic concepts, and only brushed the properties and definitions that I had lost when I summarized them, so that I could do high-frequency repetition in a very short time and do the basic knowledge thoroughly.
At this time, you will find that when you get the real graphic problem, you can flip it, cut it, move it, calculate various definitions, properties, and graphic relationships, and you will be familiar with it and use it at any time. Du Mu said very well, learning is not to explore its flowers, to pull out its roots, what is said is to learn to know what it is, know why it is, simply rely on mechanical memory and blind brushing is not good at learning mathematics, must be independent reasoning, summarize the law, the so-called inference is here, the foundation is laid, in order to do whatever you want.
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For junior high school mathematics to re-understand, re-application can be carried out to brush the policy.
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Mathematics in junior high school is still relatively simple, you only need to listen carefully to the teacher's lectures, and complete the teacher's homework, do a loss can help you master the knowledge points of Kongtong well, if you feel that you are not very good at some weaknesses, you can also do more special training, for the improvement of mathematics scores, has a great help.
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Then you should learn some basic theoretical knowledge first, then memorize some formulas, do more exercises, and finally summarize your mistakes.
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1. Think more after learning.
If you want to learn math well, you have to think a lot. It mainly refers to developing the habit of thinking and learning the way to think. Independent thinking is a necessary ability to learn mathematics.
When students are studying, they should think while listening to lectures, reading books, and thinking while doing problems, and through their own active thinking, they should deeply understand mathematical knowledge, summarize mathematical laws, and flexibly solve mathematical problems, so that they can turn what the teacher talks about and what is written in the textbook into their own knowledge.
2. Do more practice questions.
If you want to learn junior high school mathematics well, you must do more exercises, and what we mean by "doing more exercises" is not engaging in "sea of questions tactics". Only do not think, can not play a role in consolidating the concept, broaden the role of thinking, and there is "***": the knowledge that has been learned is a mess, can not figure it out, waste time and do not gain much, what we call "do more exercises", is to do a novel topic, think more:
What kind of knowledge does it use, whether it can be explained, whether its conclusions can be strengthened and promoted, and so on.
3. Be good at summarizing rules.
We will find that in daily mathematics learning, many students always make mistakes and often make mistakes in the same type of questions? The emergence of this kind of problem is that students lack the habit of summarizing the rules, a type of question is repeatedly wrong, often wrong, indicating that you have not mastered the rules of doing this kind of topic, you not only have to make wrong notes, but also need to take out the type of questions you are wrong to summarize and summarize, to be good at summarizing the rules, compare the same type of questions more, summarize more, summarize a kind of problem solving ideas and methods that belong to you, and then use the rules and methods of summarizing to solve this kind of problem.
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Mathematics is the most rational subject, and the language of mathematics is the most rigorous language. We should strive to change the status quo of passive learning, take the initiative to study, and catch up with our academic performance as soon as possible. Based on my years of teaching experience, I believe that it is very important for students to master the correct mathematical ideas and methods, and the key is to do more with less.
The first is "Lecture Pass". A class in junior high school has a large capacity, almost every class has to learn new knowledge, and there is very little time for practice in class, so the knowledge learned in class must be learned in class, understand thoroughly, review in time after class, and master the content learned in class.
The second is the "writing process". In primary school, students are rarely required to write out the solution process in detail, but in junior high school, students are required to have good logical reasoning ability, therefore, when doing math problems, students are required to write out the solution process in more detail, especially about plane geometry problems, which will help you improve the correct rate of solving the problem, and will also improve your scoring rate in the exam. Start with your homework, and complete the homework of each class neatly, clearly, correctly and with high quality.
The third is the "calculation off". Because it has many similarities with the content of primary school, and because some students always think that it is not impossible to make mistakes but is caused by sloppiness, students do not pay much attention to it. In fact, the operation of rational numbers is fundamentally different from the operation of non-negative numbers in elementary school, and each operation must first determine the symbol of the operation result, and then determine the absolute value of the operation result.
The fourth is the "algebra pass". Using letters to represent numbers is the key content of the first year of junior high school, and it is also one of the difficulties. The letter a can represent a positive number, a negative number, or a 0, and -a is not necessarily a negative number.
Algebraic with letters and algebraic formulas is the basis for solving problem problems in column equations, and it is also the key to learning mathematics knowledge in the first year of junior high school. For others, please refer to the "Gifted Baby Cultivation Program Advocate".
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