Before the exam, we should abandon distracting thoughts, eliminate distracting thoughts, make the brain in a "blank" state, create mathematical situations, then brew mathematical thinking, enter the "role" in advance, and comfort ourselves by counting utensils, prompting important knowledge and methods, and reminding common misunderstandings and mistakes in solving problems, so as to reduce stress, go into battle lightly, stabilize emotions, enhance confidence, and make thinking simple, mathematical, stable and confident.
Problem solving skills. Calm down and fight to ensure victory, so as to cheer up.
A good beginning is half the battle. From the psychological point of view of examination, this is indeed very reasonable. After getting the test questions, don't rush for success, solve the problem immediately. Instead, we should browse the whole set of questions, find out the situation of the questions, and then firmly grasp one or two easy-to-learn questions, so that we can have a good start and quickly enter the best mental state.
Problem-solving skills 3, "tight inside and loose outside", concentrate on eliminating anxiety and stage fright.
Concentration is the guarantee of success in the exam. A certain degree of nervousness and nervousness can accelerate the nerve connection, which is conducive to positive thinking. It is called internal tension, but if you are too nervous, you will go to the opposite side, forming stage fright, causing anxiety and inhibiting thinking. So be sober, happy and open-minded, which is called external relaxation.
Problem solving skills. "Slow" and "fast" complement each other.
Some candidates only know that the examination room should be fast, and as a result, the meaning of the question is unclear and the conditions are incomplete, so they are eager to answer. Don't you know that haste makes waste, and as a result, their thinking is blocked or they walk into a dead end, leading to failure. It should be said that the questions should be slow and the answers should be quick. Examination of questions is the "basic project" in the whole process of solving problems, and the questions themselves are the information sources of "how to solve problems". We must fully understand the meaning of the question, synthesize all the conditions, extract all the clues, form an overall understanding, and provide a comprehensive and reliable basis for the formation of problem-solving ideas. Once an idea is formed, it can be completed as quickly as possible.
Problem solving skills. "Six before six" is suitable for different people.
After reviewing the whole volume and successfully completing the simple questions, the mood tends to be stable, the situation tends to be single, the brain tends to be excited, and the thinking tends to be positive. Then there is the golden season of exerting the ability to solve problems on the spot. At this point, candidates can choose to implement the tactical principle of "six first and six later" according to their own problem-solving habits and basic skills, combined with the structure of the whole set of questions.
1). Easy first, then difficult.
. Is to do simple questions first, and then do comprehensive questions, should be based on their own reality, decisively skip the topics that can't be chewed, from easy to difficult, but also pay attention to take every question seriously, strive for practical results, and can't just skim through it and retreat when it's difficult, which hurts the mood of solving problems.
2) Mature first.
Looking at the whole volume, we can get many favorable positive factors and some unfavorable factors. For the latter, there is no need to panic. We should think that the test questions are difficult for all candidates. Through this hint, you can ensure emotional stability. After grasping the whole volume as a whole, you can practice the method of pre-cooking, that is, you can do those questions with familiar content, familiar question structure and clear thinking of solving problems. In this way, while winning familiar questions, you can make your thinking fluent and extraordinary, and achieve the goal of winning advanced questions.
3). First the same, then different.
Doing the same topic in the same subject first, thinking more deeply, exchanging knowledge and methods easier, is conducive to improving the efficiency of unit time. The college entrance examination questions generally require the "exciting focus" to shift quickly, and "the same first and then different" can avoid the "exciting focus" jumping too fast and too frequently, thus reducing the burden on the brain and maintaining effective energy.
4). First small, then big.
Small problems are generally small in information and calculation, easy to grasp and should not be easily let go. We should strive to solve major problems as soon as possible before they appear, gain time for solving major problems, and create a relaxed psychological foundation.
5). Click the back first.
In recent years, most of the math problems in the college entrance examination are presented as "gradient problems", which need not be examined in one go, but should be solved step by step, and the solution of the previous problems has prepared the thinking foundation and problem-solving conditions for the later problems, so it is necessary to proceed step by step, from point to surface. 6. that is, the second half of the exam, we should pay attention to time efficiency. If it is estimated that you can do both questions, then do the high score questions first. It is not easy to estimate the two questions. First, the high-scoring questions should be graded by sections, and the score should be increased on the premise of insufficient time.
Problem solving skills. Make sure the operation is accurate, based on one success.
The number of math college entrance examination questions is 120 minutes and 26 questions. The time is very tight, so it is not allowed to do a lot of detailed post-solution tests, so we should try our best to calculate accurately (key steps, strive for accuracy, rather slow than fast) and base ourselves on one success. The speed of solving problems is based on the accuracy of solving problems, not to mention the intermediate data of mathematical problems often affect the answers of subsequent steps not only in quantity, but also in quality. Therefore, under the premise of taking speed as the first priority, we should be steady and steady, well-founded at all levels and accurate step by step. We should not lose accuracy or even important scoring steps in pursuit of speed. If speed and accuracy cannot be achieved at the same time, we have to be quick and accurate, because the answer is wrong, and it is meaningless to be quick.
Problem solving skills. Emphasize standardized writing and strive to be both correct and complete.
Another feature of the exam is that the paper is the only basis. This requires not only conformity, but also correctness, correctness, completeness, completeness and standardization. Unfortunately, it will be wrong; Yes, but incomplete, the score is not high; Non-standard expression and scrawled handwriting are another major aspect that causes non-intellectual factors to lose points in the college entrance examination mathematics paper. Because the handwriting is scrawled, it will make the marking teacher have a bad first impression, and then make the marking teacher think that the candidates are not serious, the basic skills are not too hard, and the "emotional score" is correspondingly low. This is the so-called psychological "halo effect". It is this truth that "the handwriting should be neat and the papers can be scored".
Problem solving skills. Facing difficult problems, pay attention to methods and strive for scores.
Of course, we should strive to do the right thing, complete it, and get full marks. More questions are how to score the incomplete questions. There are two common methods.
1).
When a problem is really difficult to solve, a wise solution is to divide it into a sub-problem or a series of steps. First, solve part of the problem, that is, to what extent it can be solved. After calculating several steps, write several steps, and each step will get a score. For example, from the beginning, translating written language into symbolic language, translating conditions and goals into mathematical expressions, setting the unknowns of application problems, setting the coordinates of moving points of trajectory problems, and drawing figures correctly according to the meaning of problems can all be scored. There are also simple situations such as completing the first step of mathematical induction, classified discussion, and reduction to absurdity, all of which can be scored. Moreover, it is expected that in the above treatment, from perceptual to rational, from special to general, from local to whole, we will have an epiphany, form ideas and successfully solve problems.
2). Step by step.
When the problem-solving process is stuck in an intermediate link, you can admit the intermediate conclusion and push it down to see if you can get the correct conclusion. If you can't get it, it means that this method is wrong and you can't get the correct conclusion immediately. If you can't get it, you can immediately change your direction and find another way. If we can get the expected conclusion, we will go back and concentrate on overcoming this transitional link. If the intermediate conclusion is too late to be confirmed due to time constraints, we have to skip this step and write the subsequent steps to the end; In addition, if there are two problems in the topic, the first problem can't be solved, the first problem can be called "known" and the second problem can be completed. This is called skipping problem solving. Maybe later, due to the positive transfer of solving problems, I remembered the intermediate steps, or if time permits, I tried to catch the intermediate difficulties and could make up for them at the end of the corresponding questions.
Problem solving skills. Retreat for progress, based on special.
Divergence Generally speaking, for a relatively general problem, if you can't get a general idea at the moment, you can treat the general as special (for example, solving multiple-choice questions in a special way), treat the abstract as concrete, treat the whole as local, treat parameters as constants, treat weak conditions as strong conditions, and so on. In short, retreat to the extent that you can solve it, and solve the "special" by thinking and inspiring thinking, so as to achieve the purpose of solving the "general".
Problem solving skills 10, applied problem thinking: face-point-line
To solve practical problems, we must first comprehensively examine the meaning of the problem and quickly accept the concept, which is called "face"; Through lengthy narration, grasp the key words and put forward key data, which is the "point"; It is a "line" to synthesize the connection, refine the relationship and establish the mathematical model by mathematical methods, thus transforming the application problem into a pure mathematical problem. Of course, the solution process and results are inseparable from the actual background.
Problem solving skills 1 1, grasp the reason, think backwards, and if it is difficult, it will be reversed.
When thinking in a positive way is blocked, we can often use the method of reverse thinking to explore new ways to solve the problem, so as to make breakthrough progress. If it is difficult to push forward, push back. If it is difficult to prove directly, disprove it. For example, we can use analysis to find sufficient conditions from positive conclusions or intermediate steps. By reducing to absurdity, we can find the necessary conditions from negative conclusions.
Problem-solving skills 12, avoiding the affirmation and negation of conclusions and solving exploratory problems.
For exploratory questions, it is not necessary to pursue the "yes" and "no" and "yes" and "no" of the conclusion. We can synthesize all the initial conditions and conduct strict reasoning and discussion, so that the steps will come and the conclusion will be self-evident.