No foundation, no ability; Review should really return to the track of attaching importance to the foundation, be down-to-earth, and don't blindly climb higher, in case the eyes are superior and the eyes are inferior. Doing well the routine questions in books means doing them correctly in the least time. Some students don't pay enough attention to the basic questions in the first round of review, thinking that they can do them without training. As a result, they often make mistakes in some wrong places, and finally attribute the reason to carelessness, thus ignoring the training of basic calculation and the accumulation of conventional methods, leading to deviations between actual results and psychological feelings. Laying a good foundation also means understanding the basic principles and methods, experiencing the formation process of knowledge, understanding and feeling the essential meaning of knowledge, and reviewing the basic knowledge comprehensively to form your own knowledge system.
Second, pay attention to review strategies.
The first round of review should pay attention to building a complete knowledge network, paying attention to intermediate topics, choosing typical topics, deeply understanding concepts, grasping the essence of problems and grasping the relationship between knowledge. Under the guidance of the teacher, you should do the problem carefully. Mathematics is a highly applied subject, and learning mathematics means learning to solve problems. It's wrong to engage in sea tactics, but it's also wrong to learn mathematics without solving problems. Before you solve any math problem, you must analyze it first. Analysis is more important than more difficult topics. We know that solving mathematical problems is actually to build a bridge between known conditions and conclusions to be solved. This process reflects the proficiency and understanding of the basic knowledge of mathematics, as well as the flexible application ability of mathematical methods.
Third, develop good problem-solving habits.
If you read the questions carefully, see the figures clearly and standardize the problem-solving format, some students feel good about themselves. Usually they just write an answer and don't pay attention to the problem-solving process. The writing is not standardized. Even if the answer is correct in the formal exam, they will be deducted because of the incomplete process. There are also some students who lack self-confidence in their studies. When doing homework, it is inevitable to check each other's answers, and will not seriously find out the reasons for the mistakes and correct them. When these students arrive at the examination room, they often make psychological mistakes, resulting in "incorrect answers", or in order to ensure the correct rate, they repeatedly check and calculate, wasting a lot of time and affecting the overall performance. These problems are difficult to solve in a short time and must be corrected in peacetime. "Meeting without being right" is a big taboo in mathematics learning in senior three. There are common mistakes in exams and calculations, which are usually considered to be carelessness. In fact, this is a bad study habit, which must be gradually overcome in the first round of review, otherwise the future trouble will be endless. We can combine the specific problems existing in solving problems at ordinary times, find out the reasons one by one, see if it is the cause of behavior habits or the defect of knowledge, and then solve them in a targeted manner. Make some notes when necessary, that is, the wrong question book, which is necessary for every student to inquire in the future.
Fourth, strengthen the reflection after doing the problem.
When doing the problem, you must concentrate on it, keep the best condition, pay attention to the standardized problem-solving format, and develop good study habits. After doing the problem, we must seriously reflect on the analysis, sum up some problem-solving skills and ways of thinking, sum up the regular understanding of the problem and find out our own problems. Pay attention to summing up the problems in doing the questions and correct them in time.
It is very important to summarize after solving the problem, which is a great opportunity for us to improve. For a complete theme, the following aspects need to be summarized:
1. In terms of knowledge, what concepts, theorems, formulas and other basic knowledge are involved in the topic, and how to apply these knowledge in the process of solving problems.
2. Methodology: How to start, what problem-solving methods and skills are used, and whether they can be mastered and used skillfully.
3. Can the problem-solving process be summarized into several steps, thus forming a complete problem-solving idea?
4. Where are you wrong? Attention should be paid to analyzing the causes of right and wrong and correcting mistakes. You can refer to the revision method of the top scholar's error correction notes.
Fifth, strengthen the review of typical workbooks.
Typical exercises are a collection of typical topics that teachers have explained and topics that they have made mistakes, so reviewing typical exercises can get twice the result with half the effort. Maybe the students think the problem is too big to review. Here is a very successful way to tell students: screening. Review the topics summarized at ordinary times in your spare time. After review, most of the topics in a book can be mastered, and there may be only a few or dozens left. Aim at these topics, and then review them again. In this way, when it comes to the college entrance examination, after several screenings, there are usually dozens of questions left to review before the exam. On the other hand, if you don't review in this way, you will feel that many questions in the typical exercise book can't be reviewed before the college entrance examination, but you have no time to review. By then, you will really be an ant on hot bricks.