The first one is not solid enough because of its poor foundation.
In the process of learning, I am not proficient in memorizing mathematical definitions and formulas, and I have not mastered the basic steps and methods of solving problems. This kind of students think that they have almost done all these things when reading books, but when they meet the exam, they find that they still have a lot of knowledge to master, and they often have trouble doing ambiguous questions.
Second, because the learning method is not good, I have not mastered the method of learning mathematics.
While studying, I temporarily remembered the concepts, formulas and basic problem-solving methods of relevant knowledge, but they were not applied in time and the problem-solving methods were not consolidated in time. After a long time, you will find that all the contents memorized in a short time have been forgotten, or you will not do it if the basic questions change slightly.
The third type: because of the lack of logical thinking ability and habits of mathematics.
Everyone has different thinking ability and different thinking habits. Some students are more inclined to image and perceptual thinking, and the numerical and logical thinking of mathematics is relatively weak. This kind of students will not have much problem with the basic knowledge and understanding of mathematics, but they may find it difficult to deal with some relatively difficult problems.
To sum up, the first two situations can actually be improved through effective education. The current teaching requirements in primary and secondary schools are not only set for gifted students, so as long as effective methods are adopted, most students can meet the standards. The third situation varies from person to person and it is difficult to improve in a short time. At present, the questions used to examine students' outstanding ability in the exam are generally controlled within 20%. If students' basic knowledge and understanding reach the standard, it is not difficult to get satisfactory scores. After targeted training, this ability will gradually improve.
In view of the above problems, the concrete solutions are given.
For students with poor and weak mathematical foundation of the first kind, it is forbidden to make up lessons or do problems blindly. It is suggested that students and parents can choose their own learning rules. Nowadays, many students are smart, accept new knowledge quickly and feel good about themselves. But if they don't practice, there will probably be loopholes in the exam in the future. For learning, sometimes you can't fully master it simply by reading books, and you must really master it through practical work. Giving 20 typical questions a week is not a big burden, but it will be of great benefit to help students lay a good foundation.
For students who are not good at the second learning method, you can do some exercises. Because most questions will be analyzed by teachers, you can ask teachers or classmates for slightly more difficult questions. If this problem will not or will produce some knowledge problems when doing it, it will be very helpful to understand and deepen the knowledge immediately.
For the third kind of children, parents should pay attention to cultivating their logical thinking ability in daily life and guide them to develop good study habits.
How to improve math scores
We should adhere to the "five points" in learning, that is, listening, watching, speaking, thinking and hands.
Listening: In the process of listening to the class, listen to the key points and difficulties of the knowledge told by the teacher, and listen to the contents of the students' answers to questions.
Eye-catching: connect the knowledge in the book with what the teacher said in class.
Mouth to mouth: I didn't master it when I previewed it. Ask new students questions in class.
Heart orientation: think carefully in class, pay attention to understanding knowledge in class, and be proactive.
Reach out: while listening, watching and thinking, take some notes appropriately.
Master the practice methods and improve the ability of solving mathematical problems.
1. Correct attitude and fully understand the importance of mathematical practice.
Practice can not only improve the answering speed and master the answering skills, but also often lead to many new problems in practice.
2. Have confidence and willpower.
Math exercises are often complicated and profound. Prove that you should have enough confidence, tenacious will and patient and meticulous habits.
3. Develop the good habit of thinking first, then answering, and then checking.
Think carefully, get to the point and then answer.
4. Observe carefully, use flexibly, find the rules and become a skill.
Master review methods and improve comprehensive ability of mathematics.
Review and consolidate should pay attention to master the following methods.
1. Arrange the review time reasonably, "strike while the iron is hot", and you must review the lessons you have finished on the same day. To consolidate review, we must overcome the bad habit of doing homework without reading books and using books as reference books.
2. The comprehensive review method is widely used, that is, by finding out the left-right relationship of knowledge and the internal relationship between vertical and horizontal.
Comprehensive review can be divided into three steps: first, look at the overall situation, browse all the contents, and initially form a complete impression of the knowledge system by evoking memories; Second, deepen understanding, comprehensively analyze what you have learned, and finally consolidate it.
3. Pay attention to practical review methods. By "completing practical homework" to review mathematics, educators clearly point out that "we should attach importance to the practical application of knowledge as an important review method" in mathematics courses. For example, if you review the quadratic equation of one variable, you can do the following four questions.
(1) Equation 3x2-5x+a=0, one of which is greater than -2 and less than 0, and the other is greater than 1 less than 3. The range of real number a.
(2) Equation 2mx2-4mx+3(m- 1)=0 has two real roots, and the range of real number m is determined.
(3) If both equations x2+(m-2)x+5-m=0 are greater than 2, then the range of real number m is determined. ..
(4) It is known that the two side lengths A and B of a triangle are two in the equation 2x2-mx+2=0, and the side length C is 8, which is the range of real number M. ..
4. Broaden the collection and break through the review methods of weak links.
Junior high school mathematics examination skills
Don't walk into the examination room full of examination skills.
If you always read a lot of books about exam skills before each exam, you will find that; Generally speaking, due to the different exam tension, I usually practice and be a model. Don't answer after the exam; Don't check the answers after each exam, and don't take courses after the exam; Use examination skills suitable for the learning stage; Generally speaking, learning is in stages, such as the primary stage, you have to; Beginners encounter an uncertain question in the exam and use logic to push it; Whether to browse the whole paper after getting it.
Don't walk into the examination room full of examination skills.
If you always read a lot of books about exam skills before each exam, but when it comes to the exam, you panic and forget a lot of exam skills, so you can only do one question after another.
Generally speaking, due to the different exam tension, the exam skills that are very effective in practicing and doing simulation questions are often "forgotten" when the exam comes. Examination skills should be integrated with knowledge, and it is best to be proficient in "conditioned reflex" so as to be used well in the examination. You don't need to bring into the examination room those test skills that have not been proved to be effective and unskilled by practice. These examination skills often only hinder your thinking and affect your speed and flexibility in doing problems. Generally speaking, you should enter the examination room with a blank mind.
Don't look up the answers after the exam.
After each exam, don't answer questions, don't pay attention to the courses you have finished, and concentrate on preparing for the next exam.
Use examination skills suitable for the learning stage.
Generally speaking, learning is divided into stages, such as the primary stage, and you should adopt relatively fixed examination skills suitable for this learning stage. Try to implement your own test skills in the exam. Don't be impulsive because you think the exam questions are simple, and don't be confused because you think the exam questions are too difficult.
When scholars met an uncertain question in the exam, they used logical reasoning, exam skills and intuition to draw different conclusions. Generally speaking, the correct answer should be the conclusion drawn from the examination skills. This is because people in the primary stage are often poor in knowledge, judgment and intuition. When intermediate students encounter an uncertain question in the exam, they often use logical judgment, exam skills and intuition to draw different conclusions, so logical inference conclusion should be the correct answer. At the advanced stage, "intuition" can be used as a criterion.
Do you want to browse the whole article after you get the paper?
After getting the test paper, you can browse it as a whole, and roughly estimate the time that should be allocated to each part of the test paper according to the accumulated test experience.
Arrange the answer order
Regarding the order of answering questions in exams, one strategy is to answer questions in the order from front to back, and the other strategy is to answer questions in the order summarized by oneself. No matter which strategy you adopt, you must be very clear about the minimum and maximum answer time of each part.
According to your own summary of the answer order: first do those questions that may not get more points even if the answer time is extended, and then do those questions that need careful thinking and deliberation. For example, in mathematics, do the problem first, and then do the problem. The so-called problem is a problem that you can't solve after thinking for a few minutes. For example, in English and Chinese, you can fill in the blanks, choose and write, and then do the reading questions.
Jia Jia, who is in the advanced stage of mathematics, couldn't do the fifth question in an exam, so he didn't do it first and continued to do it. Here comes the 10 problem, and he can't do it again. He was a little anxious, so he secretly said "calm down" and "calm down" to himself, and so he continued to do it every other day. Here comes the question 15, and here we go again. So I went back to do the fifth question. I thought for a few minutes, but I still couldn't work it out, so I did the 10 problem again. After thinking for a while, I suddenly thought of a solution to the problem and did it quickly. By this time, my mood had calmed down, and then I went on to do the 15 problem. After thinking for a while, I just came up with a certain step, so I wrote this step on the test paper. Then, he checked all the questions in a few minutes and found that there were no big mistakes. Then he did 15. He recalled the knowledge points and problem-solving skills related to this problem one by one in his mind. Because he has formed a relatively complete knowledge system, after several memories, he finally came up with the idea of solving the problem 15, so he did it quickly.
Determine the answer time for each part.
Courses that can be completed in the exam: For those courses that can be completed in each exam, such as English and history, the time for doing the questions in each part can be determined according to the proportion of the test scores in each part. For example, if multiple-choice questions account for 20% of the score, you must complete multiple-choice questions within 20% of the examination time. Then, according to the scores after each exam, carefully analyze whether it is possible to reduce the time for doing some questions while ensuring the accuracy, so that you can have more time to do those parts that take relatively long time.
Courses that can't be completed: For those courses that can't be completed in every exam, such as mathematics and physics, you should make statistics: 1. A problem that took up a lot of time in the exam but didn't work out at all. For this kind of topic, you should try to reduce the time for future exams, or give up and try again after further study. Second, you spend too much time solving problems in the exam. For this kind of questions, we should try our best to speed up the task in the future, or improve the reaction speed through "repeated training", so that the next exam can be worked out in less time.
At first, you should rely on clocks and statistics, not feelings. When you have enough experience, your feelings will be accurate. At this time, you encounter some questions in the exam, and you can feel how long it will take you to work them out at a glance or for a minute or two.
Without thinking, conditioned reflex
No matter what learning stage you are in, no matter what your learning ability is, you should train the order of answering questions, the time of answering questions in each part and the examination skills of each course to the degree of unthinking and conditioned reflex through usual exams, mock exams and time-limited exercises. When it comes to the college entrance examination, you can walk into the examination room with a blank mind.
Middle school mathematics examination skills
Learn to analyze test papers
Examination is an important way to check the implementation of "three basics", "four abilities" and "three levels", and every student should pay attention to every examination. In particular, through the analysis of the test paper after the exam, we should reflect on our own shortcomings in knowledge, methods and improvisation, check for missing parts and improve the level of improvisation. So how to do a good job in test paper analysis?
Famous teachers talk about the answering skills of mathematics in college entrance examination
The topic is simple, you must score, and you must learn to give up when you encounter difficulties.
Mathematics is the subject with the biggest fluctuation and the biggest gap among the three main courses, so candidates should pay special attention to it. The following strategies may help you.
The ingenious use of mathematical thought
60 points for objective mathematics questions, characterized by only answers and no process. Some people call it an "unreasonable question". Just because you don't want to take a photo, you should pay attention to the problem-solving strategy, instead of solving every problem as a solution. Candidates can use three magic weapons: exclusion method, special value method and combination of numbers and shapes.
Such as "known a"
With the special value method, take a=b=c=0 to get AB+BC+CA >; - 1。 If you treat it as a solution, some of them may not do it, or even if they can do it, they will waste a lot of time.
Strive for the simplest solution
Some problems have simple solutions, but some students often don't think seriously after getting the problem, just think of one and solve it. The result is either too complicated to do, or there are operational errors in the process of solving problems. Even if they manage to work out the result, they will spend a lot of time.
Therefore, candidates should not rush to write when they get the questions. First, they should find a simpler way to solve the problem, which can not only calculate correctly, but also save time, otherwise they will fall into an embarrassing state where they can't get in and stop. From complex to simple, the key is not to stick to the rules. Another way can make the answer to the question extremely simple.
Write if you have an idea.
We can't expect to see through the problem step by step before solving it, so we often miss opportunities. Because the topic is comprehensive, sometimes it is necessary to "walk while hitting" and "cross the river by feeling the stones". When you have an idea, write it down and slowly get as close to the conclusion as possible. It is graded step by step, and one more step may lead to more points.
Examine the questions carefully.
After every exam, there are always students who beat their chests and feet and regret it, because they lost a lot of points in the exam. Accurate examination of questions is the first level of solving problems. Some candidates think the objective questions are simple, or they read the questions wrong, or they don't pay attention to the additional conditions of the questions, such as the angle and the range of parameters, or they don't fill in the answers as required.
Sometimes you have to read a long or difficult topic two or three times. You can watch and think, and you can draw lines in key places to remind yourself. The topic itself is the information source of "how to solve this problem", so we must read the topic word by word, and strive to really see the meaning of the topic from the aspects of structure, logical relationship and mathematical significance. The practice of solving problems shows that conditional prediction can understand and inspire the means of solving problems, and conclusion prediction needs to understand and guide the direction of solving problems. Any topic that can't be written clearly must be given in secret. Only by carefully examining the topic can we get as much information as possible from the topic itself. Don't be afraid of being slow.
Master the law of answering questions
Some candidates' writing is messy, the paper changes too much, and they can't even find the answer, which is easy to be misjudged. Unfortunately, some candidates cross out what they have answered without being sure, but there are still points. Some candidates don't write down the key steps of solving problems, or don't summarize them at the end of the classified discussion. Although the answer is correct, but they did not "step on the scoring point", they will still be deducted.
Sometimes the previous conclusion has hints or hints for the later solution, so candidates should seize this opportunity. In solving problems, the conclusion of the previous question is sometimes used in the latter question. At this time, even if the examinee can't do the previous question, he can make it "known" and do the latter question first.
When encountering a difficult problem, one way is to break it down into small problems, solve some problems first, solve as many as you can, and write as many steps as you can, which is not equal to failure. In particular, those problems with obvious problem-solving level may be scored at every step. This is called "taking small points for big problems".
The middle and low-grade questions are the main scoring points of most students, and the main energy in the exam should be used on these questions. For many candidates, even if they take them home, they may not be able to do those difficult problems, so they must "learn to give up" and do something before they do anything.
Reference of Math Test Skills in College Entrance Examination
1. What for five minutes?
(1) Check the integrity of the test paper and clearly fill in personal information.
Use eyes and hands instead of pens to see the form of filling in the blanks. If it is easy to make mistakes, mark it and prepare for future mistakes. Roughly classify the big questions into two categories: A and B, so as to prepare for solving the problems later.
3 stabilize your emotions, and when you encounter a deep volume, you firmly believe that you will not be better than others!
2. 120 minutes?
(1) The particles are returned to the warehouse. Doing all the questions that can be done right is your victory, and grabbing points for the questions that can't be done is your credit.
I'd rather review the topic slowly and make sure that the conditions are not missed before continuing.
The solution to the problem is better. Before you go on, make sure you are on the right path.
The calculation steps should be standardized, and the mistake often lies in "miscalculation". When calculating, we should also write down the steps in our draft and confirm them before leaving.
Comprehensive consideration of the problem, beware of traps, pay attention to omissions, investigate from concepts, formulas, laws, graphics and other aspects, especially whether there are special cases, consider whether the conclusion meets the meaning of the question, classify clearly, and discuss comprehensively.
② Keep an eye on the target and ensure the total score.
Keep an eye on the first 10 multiple-choice questions and fill in the blanks with the first 3 questions to ensure correctness. Keep an eye on the first four questions of the big questions to ensure that the basic questions do not lose points.
Pay attention to the last two multiple-choice questions, and give up the last 1 question of the fill-in-the-blank question to prevent the meeting. Pay attention to the last two questions of the big question moderately, and grasp as much as you can.
③ Appropriate consideration should be given to time allocation.
General: choose to fill in the blanks (it takes about 40-50 minutes):
1-6, 13 prevent low-level errors, and 7- 1 1, 14, 15 prevent operational errors.
12 and 16 to prevent time-consuming errors.
General: Solve the problem (about 70 minutes):
17- 18 takes about 12 minutes on average to prevent calculation and expression errors.
Question 19-20 takes an average of 14 minutes to prevent mistakes in exams and modeling.
Question 2 1-22 takes about 10 minutes on average, to prevent the first question from being done without doing it, as well as the time-consuming mistakes in the future.
Some students got stuck while doing 17 and 18, which was caused by non-intellectual factors. What should I do at this time? Although it is a simple question, what should I do if I can't do it? I suggest jumping over first. Isn't this problem impossible? There are many simple questions behind. Let's do the following questions. Don't stare blankly in the examination room. Let's jump over and do other problems first. When we are stable, we will have an epiphany when we look back.
One last thing. We should get into the habit of doing everything right at once. I made a correct conclusion once, so don't get into the habit of looking back. Sometimes it is common to correct mistakes for the second time. There are certain requirements for the setting of college entrance examination questions, and the remaining time after writing what to do at last is about 15 minutes. Why should we set up a countdown whistle of 15 minutes during the college entrance examination? This is to remind some candidates to write well the questions they can do, or to start writing some questions you can't do. I guess it's time for you to finish it. That's why there is still a signal of 15 minutes before the end of the exam.