Is it really just because of carelessness that you can do something wrong in math learning?
It's wrong to listen, and it suddenly dawns on you when you see the answer.
Many students feel familiar with the topic when they see it. They can be sure that they have done the original topic or similar topic before, but they just can't remember how to do it. The more they recall similar topics they have done before, the less they have a clue. When they saw the answer, they shouted, Wow, that's it.
Reason one: the mentality is not correct.
Many students think that as long as they can do it, it is right to be wrong at ordinary times, and they are highly focused during the exam. In fact, this view is wrong
Countermeasures: Correct attitude and develop good study habits. Prepare an error book, write down the mistakes you make every day, separate the mistakes you make because you can't and those you make because you are careless, and do the mistakes you make this week once a week, so that you will be impressed with your mistakes and avoid making the same mistakes again.
Reason 2: You just "pretend to understand"
(1) Generally speaking, there are few questions about a single knowledge point, which are basically the synthesis of multiple knowledge points. As long as one knowledge point is wrong, this problem will not be done correctly. So there will be a phenomenon that you know the class but can't do it.
(2) You only know shallow knowledge, but not deep, so what you master can't reach the height of application;
(3) Some students tried a little and thought they could do it. For example, an example teacher talked about three methods, and after understanding one, he would not listen to other solutions.
(4) Understand the knowledge, but can't remember it, or don't understand how to apply it;
(5) Taking mathematics as an example, it lacks the guidance of mathematical thinking methods, such as equation thinking and classified discussion thinking.
Countermeasures: To be a "three good students" in learning, three good students make a good one (good grades), and both are indispensable.
good habit
0 1 diligence
Hands-on: Take more notes (class notes, good questions, easy solutions and wrong questions), do more exercises, and summarize more (knowledge summary and method summary).
Eye-catching: read more textbooks, extracurricular books, notes, and wrong books.
Erqin: Listen carefully.
Mouth-to-mouth: ask more questions, solve problems in time, and leave no future trouble.
Brain Qin: Think more, not only to find out what knowledge and topics are, how to do them, but also to think more about why. The most important thing is to use your hands and brain.
go deep into
We should not only remember what we have learned, but also find out how it came from. How to use it in solving problems? Don't be satisfied with knowing how to do some good problems, but also consider how to come up with solutions. Which method is better?
There are different levels of "meeting": knowledge: knowledge? Do you understand? Remember? Can you use it? Popularize problem solving: can you do the problem? Can you do a problem? Flexible use and innovation
03 rigorous
Mathematics is the most rigorous subject. Knowledge should be rigorous and problem-solving should be rigorous. If you are not rigorous, you will not do the problem, or the solution is incomplete and the score is incomplete.
04 others
A) Get rid of bad habits: Internet, TV, mobile phone, etc. And turn them into learning tools, such as paying more attention to the articles on the micro-signal of "primary school mathematics".
B) Don't make excuses: when your grades are not good, make more excuses for yourself and don't blame others. The same teachers, the same classmates, the same textbooks and reference books, the same test papers, but the results are very different, so the main reason is personal. Using excuses to cover up the real reasons is not conducive to solving practical problems.
Advice: Learning is your own business, and no one can do it for you! Parents and teachers are cooks. They can only make food more delicious, nutritious and digestible, but it will only be effective if you love it. Therefore, as students, we should realize our position in learning.
Good foundation
0 1 Basic knowledge should be solid, and if you want to get points, you must have capital.
Give an inappropriate example, just like doing business. If you invest 1 yuan, even if you make a profit 100%, that is, if you invest 1 00000 yuan, even if you only make a profit 100%, it is still a profit 100 yuan. Therefore, if you want to improve your academic performance greatly, you must have a solid knowledge reserve.
So, if you have a base of 20 points, you can get 40 points by increasing 100%. Here are some suggestions on how to lay a good foundation:
A) Self-compensation: Simple knowledge can self-compensate. As you get older, your intelligence improves. It used to be difficult to learn, but now you may understand it at a glance.
B) Individual guidance: For difficult knowledge, you can consult your teacher for targeted guidance. However, we should understand that individual guidance is only an emergency measure and cannot be relied on.
C) Information: With the help of some information, you can quickly supplement the basic knowledge. Basic knowledge is not everything. You can't do anything without basic knowledge. This is about the relationship between knowledge and problem solving. Understanding the knowledge points may not solve the problem, but 100% will not solve the problem if the knowledge points used are not mastered.
Strive to get out of the vicious circle
A virtuous circle: do the questions quickly? Less time? Solve more problems? More capable? It's faster to do the problem.
Vicious circle: slow to do the problem? How long will it take? Less problem solving? Worse ability? Doing problems is slow. Once in a vicious circle, students are very distressed.
The general solution to the vicious circle is "catching up", that is, people endlessly let you rest, and people play with you less or not.
After a period of hard work, a virtuous circle will gradually form, and future problems will become easier. Especially the kind that used to go bad suddenly, which is very useful.
Good method
1 Preview is very important.
Often overlooked, the reason: no time, no understanding, no need to wait. Preview is a necessary process of learning and a good way to improve self-study ability.
Listen and learn.
Listen to the analysis, ideas, applications, every word of the key content, and pay attention to the record.
3 Do a good job in the wrong book
Every student who can learn will have it. It is better to add a "good title book". I found that many students either didn't have the wrong problem books or made mistakes. This research has no effect.
4 Make good use of extracurricular books
A correct understanding of online courses and extracurricular books is a non-staple food and medicine to help absorption, and can never replace classroom learning.
Pay attention to the summary and reflection of knowledge points, problem-solving methods and skills, experiences and lessons.
6. Accept the guidance of subject thinking methods.
We should pay attention to the guidance of subject ideas and methods, and stand high to see far.
I can do it, but I am always careless, either copying the wrong questions or calculating the wrong numbers.
1 Carelessness is the result of doing wrong questions, not the cause!
Everyone is careless sometimes, but under the appearance of carelessness, there are many deeper reasons, which are manifested in different students, and the proportion of these reasons will be different.
Our criteria for judging "carelessness" usually include:
1. "Simple, wrong, wrong in the exam" and then ask yourself, is proficiency enough?
"What I could have done was wrong in the exam." Then ask yourself, is the basic concept really clear?
3. "If the question is wrong, it is not impossible to do it." Then ask yourself, is the accuracy enough? For example, if you usually do the problem, try to do it again, right?
We often think that what we usually do can be done in the exam, but it is not. We must see the problems behind carelessness:
2 unfamiliar with knowledge!
The so-called proficiency, you can imagine, we adults, do the calculation problems of the first grade of primary school, and each problem is actually very simple for us.
But when we finish the 1000 question on time, it may not be all right. If you often do calculation work, you are likely to do it quickly and accurately; People who usually neglect simple calculations are likely to be slow and full of mistakes.
Countermeasures: A topic should be repeatedly touched at least six times, and every time you think about it, you will be familiar with it and have a memory.
3 The basic concept of knowledge is not clear
There are also some questions that students think they will do, because they usually do it right, but they do it wrong in the exam. But it is likely that they have only seen 1-2 times, and they have a vague concept. What are the details of many concepts? I didn't delve into it.
When there is time limit and pressure in the exam, people usually instinctively choose the first memory storage in the brain, and this memory and cognition are likely to be wrong and missing.
Countermeasures: try to explain the topic. If you can explain the topic, you will really understand it. Usually in the process of explaining, you will constantly find loopholes in your knowledge.
4 the accuracy of solving problems is not high.
Can you recall that when you typed, did you type each word correctly once, or did you keep deleting and modifying it? This is also a question of accuracy. If you try to do things right once and improve every time, it is possible to do things right once at a critical moment. This requires hard work, and it can only become instinct if it is repeated many times. If you do something wrong, you feel that it doesn't matter, and often you can't reach a better state. In addition, the accuracy is also related to "the amount of questions done" and "the type of questions".
Countermeasures: do the questions carefully every time, improve the accuracy, work hard to do the questions, and establish the wrong book. You can also make a training plan for yourself. Only by carefully analyzing the causes of mistakes can we really improve our grades.
The danger of carelessness is self-evident. After the test results come out every time, many students are very sad and feel "ashamed to see their elders in Jiangdong". After analyzing the test paper, I came to the conclusion that it was carelessness again! And the bad habit of carelessness has a long history and can never be changed.
Carelessness is just a bad habit, you can definitely get rid of it! Students who tried before but failed just didn't find the right way. Usually, no matter how you treat your study or life, you should pay attention to being careful and careful. After a long time, we will form this careful habit, and the natural error rate will decrease.
These methods must come in handy!
First time ▊: Read every word clearly.
The child points to the text of the topic, the parents read one sentence, and the child reads one sentence after another. Sentences that are too long can be read two or three times.
This process is to let children see every word clearly, so that they can read it slowly or not. Children often read and read words, and will gradually understand them. After a period of time, children can read by themselves first, and parents can teach unfamiliar words.
The second time: read through the requirements of the topic, talk about the meaning of the topic, and tick the key words.
After reading it, parents should not be busy explaining the meaning of the topic to their children, but exercise their children and let them say what the topic requirements mean in their own words.
If you find that your child's understanding is incorrect and incomplete, let the child read it again and try to let the child find the requirements given by the topic.
If the child still can't understand the problem correctly after reading it several times, parents can help the child analyze it by asking questions. Commonly used questions are:
What does the topic ask us to do? (Circle, connect, color, fill in the blanks and calculate); 2 What do you need? (circle who? What kind of connection? What color? )。
For example, "Draw the same height with the same color." Q: Do what? (coloring); Color who? (same height); What color is it? (same color).
After the child correctly understands the meaning of the question, let him select the key words and sketch them to help him deepen his understanding and memory. The above problem can be outlined as follows: draw the same height with the same color.
▊ The third time: Read it again after a correct understanding to deepen your memory and understanding. Then start to do the problem.
1. After understanding the meaning of the question, let the children answer the questions themselves.
2. After answering the questions, check yourself against the requirements of the questions.
There are many methods of examination, different examination methods are not necessarily the same, but there is a general principle, that is, we should not only look at the answers, but also look at the requirements of the questions, check the process against the questions, and finally the answers. If it is a fill-in-the-blank question, the most basic trick is to see if it is smooth; This is a calculation problem. You must do it again. Parents can guide their children to choose the corresponding examination method according to the question type.
3. Three ways to correct mistakes
Children will ask their parents to check after checking themselves. If mistakes are found, parents will teach him how to correct them according to them.
1A class: careless error.
Parents don't give any hints after finding the mistake, but remind him to look at the topic requirements, pictures or words again, and then think about the process and answers.
If the child finds and corrects himself, let him write an A under the serial number of this question, indicating that such mistakes are caused by carelessness and can be corrected by himself, and remind himself not to be careless again.
Class 2B: method and knowledge errors.
Children don't know why they are wrong, so parents can give him a hint. For example:
Question: Which of the following lines is different? Draw "?" It's in parentheses after it. .
( 1) 1、2、3、4、5
(2)2、4、6、8、 10
(3)5、6、7、8、9
Children can understand the topic and ask for different lines, but they don't know which line is different. Parents can prompt like this: "What happened to the number in the first line? How much is it each time? What about the second line? " The child thinks according to the prompt, rather than the parents telling him the answer directly. In short, parents will never replace things that can make children think.
After the child follows the prompts, let him write a B under the serial number of this question, which shows that he still has some difficulties in this kind of problem. This is his own weakness and needs to think more and practice more in the future.
3C level: an incomprehensible problem.
Some wrong methods suggested by parents will not be solved in the future. Parents must explain the methods and processes to help their children make them. Please write a C under the serial number for this kind of question, indicating that this is a difficult point for children, and remind children to pay attention when the teacher explains similar problems.
4 the marks of these symbols a, b and c.
This is actually an analysis of the causes of children's mistakes, which can effectively help children find the root causes of mistakes and help children find corresponding solutions.
For example, class A errors need to be carefully read and carefully checked; For mistakes, you need to listen carefully to the methods of teachers and classmates in class, think more and practice more.
Parents can design similar topics for class B and class C mistakes to practice for their children, so as to avoid weakness and difficulties next time.