The proportion of easy questions, intermediate questions and difficult questions in college entrance examination mathematics problems is 3:5:2, that is, basic questions account for 80% and difficult questions account for 20%.
Whether in the first, second or third round of review, the "three basics", that is, basic knowledge, basic skills and basic thinking methods, are the most important. It is dangerous to hold on to some difficult problems! Only when the "three basics" pass, can we have the ability to do difficult problems.
Second, the construction of knowledge network.
The essence of mathematics teaching is to put a large number of declarative knowledge such as mathematical concepts, theorems and formulas into practice in the teaching of mathematical knowledge, so that students can form an increasingly hierarchical mathematical knowledge network structure on the basis of active participation and construction, so that students can experience the mathematical ideas and methods contained in the whole learning process and form a way to solve problems. Therefore, on the basis of consolidating the basic knowledge, we should grasp the vertical and horizontal links and build a knowledge network in the review of college entrance examination. After strengthening the connection of each knowledge block, grasp the main knowledge and clarify the framework.
Third, pay attention to the general method.
In recent years, college entrance examination questions have focused on the examination of general methods, thus avoiding questions that are too dead, too complicated and too biased. The thinking of solving problems does not depend on special skills, and there are many ways to solve problems, flexible methods and divergent thinking. Don't "play skills" too much in review. Excessive use of skills will make students with good grades "possessed" and students with poor grades "lose confidence".
Fourth, improve the computing power.
Computing ability is the most basic ability. Due to the tight review time and heavy tasks in senior three, teachers and students do not attach importance to the cultivation of computing ability. Look at a problem and you will know how to solve it. This is the direct cause of our senior three students' poor computing ability. In fact, the rationality, correctness, simplicity and timeliness of the operation play a vital role in the quality of students' test scores. Therefore, we should further strengthen the computing ability and let students realize the importance of computing and the standardization of writing. At the same time, I constantly reflect on the rationality of my problem-solving process, the equivalence of transformation and so on.
Fifth, the answer is rigorous and standardized.
There are many small mistakes in the students' answers, and too many small mistakes accumulate and affect the final grade. When marking and reviewing examination papers, students should be tirelessly warned to pay attention to the integrity of reasoning, especially the reasoning process in "solid geometry"; Pay attention to the rigor of mathematical symbols, as well as neat handwriting and how to alter it. Answer questions and explain them to students within the prescribed scope every year, and form a rigorous and standardized style.
Stage review and system summary
Divided by time, such as weekly review, mid-term review, final review, graduation review, entrance review, etc. , and divided from the knowledge, such as chapter review, unit review, general review, etc. , can be called stage system review.
1. Tasks of phase system review
(1) Strengthen memory, so that the results of learning can be firmly stored in the brain for easy reference at any time.
Expert experiments show that only 44% of the materials just remembered can be retained after one hour, and only 25% is left after two days. It can be seen that everyone will soon forget and then slowly forget. Some scholars believe that after learning, certain neural connections have been formed in the brain. If this connection is not strengthened through repeated and effective stimulation, it will gradually fade away and show the phenomenon of forgetting. It is to strengthen and perfect this nervous system and review it in various ways.
What you understand is easy to remember, but what you understand can only be truly remembered through review. Students with good memory not only pay attention to understanding, but also pay attention to review. They review every day, summarize every week, summarize every chapter, and review from different angles and levels many times, thus producing a good memory effect.
(2) Check for leaks and fill gaps to ensure the integrity of knowledge.
There are many factors that affect learning. In the long learning process, it is difficult to ensure that all factors are in the best state. So it is inevitable that there will be loopholes and shortcomings. After reviewing and checking, you can make up lessons in time to ensure the integrity and systematicness of the knowledge you have learned. All students who study hard can correct any loopholes and deficiencies in their studies in time. So their knowledge is always relatively complete.
(3) Mastery and systematization of knowledge.
Wisdom is just an organized knowledge system. The "organized knowledge system" here refers to systematic knowledge. It can be said that the formation of systematic knowledge is the central task of systematic review. Through the study of subjects, chapters and sections at ordinary times, we can say that we have basically completed the task of understanding various basic concepts and basic knowledge. Through review, comprehensive review, missing and filling in gaps, the integrity of knowledge is guaranteed, but at this time, students' understanding of things has not been completed, and the central task of review has not been completed. Why? Because the knowledge in our mind is still a "semi-finished product" at this time, we need to adopt thinking methods such as analysis and synthesis, comparative classification, abstract generalization and induction and deduction to "assemble" all the parts of the long-term learning knowledge, achieve mastery through a comprehensive study and thoroughly understand it, thus forming systematic knowledge. At this time, it can be said that it has become the whole task of the learning process.
2. Procedures and methods of phased systematic evaluation
We must pay attention to "three preparations" in stage review, namely, theme preparation, time preparation and material preparation.
(1) theme preparation.
Be sure to make clear the central content of this review before reviewing, and focus on this central content when reviewing. If the central content is not clear, picking up the textbook from beginning to end can't be called review, it can only be regarded as repetition, which plays a familiar role at most, and the knowledge is still scattered and unsystematic, and the effect is not good.
(2) Time preparation.
Because of the large amount of reading, thinking, consulting materials and writing review notes, the content and time of review must be relatively concentrated, and two methods can be adopted: active allocation and passive arrangement. Actively allocate time, that is, arrange a few days according to the review content, review part of the content every day or every one or two days, and then review all the content in a few days.
Passive arrangement of time, that is, review time is limited and can not be arranged at will. It is necessary to calculate how much time there is from review to examination and how much content needs to be reviewed. If there is not enough time, we should adjust the review content according to the permission of time, omit the familiar content and ensure the key subjects.
In this way, although there is not much time left after completing the study task every day, due to proper time arrangement, we can avoid the situation of being in a hurry.
(3) Material preparation.
When the central content of the review is determined, all textbooks, notes, homework, test papers and reference books related to the central content should be prepared as fully as possible. When reviewing, you should concentrate on thinking, and you can get the information when you need to consult it. The procedure of stage review should be as follows:
Step 1: Recall first, then read.
Like after-class review, when reviewing in stages, don't read books first, and try to think and recall independently. Don't be busy turning pages when you encounter problems or things you don't understand. Think about yourself first. If you really can't remember, look up the textbook. Doing so forces you to think, which helps to strengthen your memory and improve your learning efficiency.
Step 2: Look at the questions first, and then do them.
It is necessary to review the exercises done in the past when reviewing in stages. However, don't do it again without a question, and don't do nothing. The reading topic is to read the exercises, daily homework and examination papers in the book from beginning to end. When reading the questions, just look at the questions and sort out the ideas for solving them. What you can do can be compared with the original practice. If you can't do it, you can see how you solved it, where is the card this time, and then do it again.
Besides reading the questions, we should also choose some exercises to do, especially some comprehensive exercises to do. Because the exercises you usually do in your study are all for practicing the content of the lecture at that time, and they are all individual. Comprehensive exercises can only be answered by using all the knowledge in this chapter or this system. Therefore, doing some comprehensive exercises is a necessary method to consolidate and skillfully use knowledge in stage review. Make knowledge systematic and complete by doing comprehensive questions.
Step 3: Review first, and then take notes.
Before the end of the stage review, the review results shall be recorded. The results of review can include systematic knowledge, new experience, new problem-solving methods, own difficulties and shortcomings, etc. Review notes are not copies of class notes, but should be concise and highly summarized. Just like your guide into the field of knowledge, it can lead you to every corner of knowledge. In other words, you can recall the relevant contents in the textbook one by one by reading the review notes.
3. The basic requirements of phased system review
(1) Before reviewing, you should pay close attention to your usual study time and get ready. We should make use of sporadic time at ordinary times to prepare relevant notes, books, homework, test papers and reference books around the contents of the review center.
(2) Review around a central content.
When reviewing, we must first determine the central content of the review, which should be determined according to the knowledge system. When reviewing, as far as content is concerned, try to choose the content that is most closely related to the new lesson to review. In this way, not only the review task is completed, but also the learning of new courses is promoted. In addition, the content of each review should not be too much, be appropriate, and pay attention to the alternation of arts and sciences.
(3) Adhere to the method of cyclic review.
The so-called "cycle review method" means: after learning part of the content, review it in time. Then learn the next part. After learning the second review. The last review shall include the contents of the last review. That's it, ring by ring. At the same time, at a certain stage, the whole review content should be divided into several units, and there should be a big cycle after each unit is reviewed. More content can also be interspersed with loops.
(4) Do some comprehensive topics.
The purpose is to test the effect of review, deepen the understanding of knowledge and cultivate the ability to use knowledge to solve problems. What questions to choose should be determined around the center of review, and the key point is to do some comprehensive exercises. The types of comprehensive exercises should be consistent with the scope of knowledge involved in review. As comprehensive exercises, we should further improve and systematize our knowledge and cultivate our ability to use knowledge comprehensively.
(5) Concentrated time and quiet environment.
When reviewing, we should deal with more knowledge, such as reading, thinking, writing, looking up information, designing system tables and comparison tables. This is a time-consuming mental work, so it needs relatively concentrated time and a quiet environment without interference. Otherwise, the normal review thinking will be interrupted due to time and environmental problems, which will affect the review effect.
(6) Take review notes.
When reviewing, after hard thinking, a complete and systematic knowledge is formed. We should cherish this learning achievement and record it in the form of notes in time for future use. Pay attention to review your notes, grasp the essence of knowledge, and you will certainly get excellent results in the exam.