How to do problems quickly and correctly in the examination room is the key point that students need to master urgently.
However, the students found that once the speed of doing the questions is accelerated, the accuracy rate will drop, and when the accuracy rate rises, it is often too late. Regarding the speed of homework, many students have done many questions, but the results are often unsatisfactory.
The following math teacher, Mr. Huang Hua, analyzes the reasons for the slow speed of doing problems, and gives corresponding solutions based on these reasons, hoping to help students solve some problems.
First, analyze the reasons for the slow speed of solving problems:
We have concluded that the reasons for the slow speed of problem solving are nothing more than the following:
(1) unfamiliar problems.
There are probably three reasons for being unfamiliar with the question type: unfamiliar with the knowledge point itself, unfamiliar with the thinking of solving problems (unfamiliar with thinking), and insufficient analysis of the question type. So do more and read more questions, and compare them with the exams in recent years.
(2) Lack of ability to do problems
Insufficient computing ability, slow writing speed, slow reading speed, and insufficient ability to accept information (just don't understand the meaning of the topic).
(3) The method of solving problems is not simple.
Carelessness can be attributed to impatience. Many students can't understand the expression quickly after reading the questions, or start writing answers before reading them, and often have to look back repeatedly, wasting time. Or simply do something wrong.
(4) The thinking of doing the problem is not wide.
Many students do the questions as soon as they get them, without considering them in advance, and look back when they find that they have done something wrong. Some students will hesitate to do it first without knowing the topic, which leads to an unconscious waste of time.
Second, training methods to improve the speed of problem solving:
Everyone knows how to improve the speed of doing problems by doing them, but there is no good plan. We should choose the right questions. Mr. Huang Hua's math teacher suggested doing more real questions in the college entrance examination in recent years.
If it is a multiple-choice question or a fill-in-the-blank question to the last big question, you should find out the kind of question that you are not proficient in, and practice repeatedly until you are familiar with and proficient in this kind of question. After reading it, you can roughly know its problem-solving ideas.
In the method of problem-solving training, Mr. Huang Hua's math teacher summed up the following similarities for candidates' reference:
1. Think more and pay attention to skills.
Try to reduce rote calculation, increase the proportion of thinking, put thinking and skills first, make full use of the hints between topics and options, calculate more and calculate less, use more brains and do less.
For example, in multiple-choice questions, pay attention to the replacement of special values and options, and use direct method (direct understanding) and exclusion method (option inversion) to minimize dead reckoning from beginning to end.
2. Clever calculation and reanalysis
In the process of doing problems, we should follow the principle of "calculating skillfully and analyzing more", increase the proportion of understanding, analysis and judgment, and be skillful in the calculation process to minimize the tedious process of writing on paper, which not only wastes time, but also increases the probability of making mistakes. Therefore, when training to do problems at ordinary times, we should not only pay attention to the obvious known conditions given in the analysis questions, but also pay attention to finding out the hidden known conditions in the questions.
3. Good induction, heavy summary
In the comprehensive problem, we should be good at summarizing the ideas and steps in the process of solving problems. You will find that even different types of problems have too many similarities in solving ideas. If you sum up these similarities, you will find that they can be applied to various types of questions.
For example, in the physics of comprehensive management, almost all statements are listed according to the steps of topic expression, and then a conclusion can be drawn by simultaneous solution.
For example, in the mathematics of comprehensive management, as long as you can correctly express the meaning of the problem with formulas or unknowns, you can get the correct answer by filling the gap between the problems or finding the preconditions (forward derivation and backward derivation) for the establishment of the problem.
Third, several problems that should be paid attention to in improving the speed of solving problems
1. Grasp the key and difficult problems
What I am talking about here is not the total amount, but the number of questions in each training must be enough, and it is necessary to continue to do the questions for a long time, rather than dabbling. In the process of training and topic selection, it is best to have the same subject.
2. Training "pinch time" to do the problem
Every question or set of questions should be timed well. When you start to do the questions, you can slow down and train your problem-solving thinking more. When you sum up your own ideas of solving problems, you should try to shorten the time of solving problems. Then when you do the simulation paper, you can at least shorten the specified time by 10 ~ 30% (if you can't do the last big question, you can leave the corresponding time). When you can answer questions firmly at this time, there are basically not many questions.
3. Improve the ability to solve problems
The lack of calculation ability is caused by the lack of logical deduction ability, which can only be improved by a large number of calculation deduction in a short time. In training, we should also think about the transformation and correlation between formulas and observe the meaning and transformation relationship between the same and different letters.
Students who read slowly or can't remember, usually recite more, read more articles or topics with moderate length, and gradually lengthen them.
Improve your thinking habits.
Read the questions word for word (or silently) during normal training, and force yourself to standardize the draft when doing the questions. Don't scribble one thing in the east and another in the west. Write the draft as homework. If active students can force themselves to persist in doing problems in peacetime, then they can develop the characteristics of "stability" in a short time.
5. Improve testing skills
At the beginning of training, we should pay attention to "seeing, thinking, moving and judging" when doing problems.
See the meaning of the question clearly first, then think about the relationship between the stem and the limb, then start work and finally summarize. When you get used to these steps, you can answer questions quickly. Don't get stuck in the problem as soon as you start without forming a relatively fixed problem-solving thinking. When you have mastered certain thinking and skills and summed up a set of relatively fixed problem-solving ideas, you can start working as soon as you get the problem.