Building a knowledge network is not just about mastering knowledge points. In the process of our construction, on the one hand, we will further deepen our understanding of knowledge, on the other hand, we will gradually improve our ability to analyze and solve problems.
Knowledge theorems, methods and skills of mathematics are the starting point of constructing knowledge context, and also the object of examination in senior high school entrance examination. Therefore, it is necessary to master the related knowledge in algebra, such as number and formula, inequality and equation (group), function, statistics and probability, triangle, quadrilateral, circle, etc., and sort out the relationship between various knowledge points through the context of knowledge, and finally apply these knowledge theorems to solve problems.
The second is to pay attention to the formation process of knowledge. A knowledge theorem is a sentence or a paragraph, which is "dead", but we can see that it is "alive" in the process of learning knowledge points. For example, when a teacher explains a knowledge point, he will create a corresponding teaching situation. In this process, the knowledge point has gone through the process from "nothing" to "existence" and gradually learns to apply knowledge to solve problems.
Therefore, in the process of mathematics learning, we should pay attention to the deepening of knowledge points, especially to understand the ins and outs of commonly used mathematical formulas, further understand their reasoning process, and explore some possible changes in the process of derivation. At the same time, pay attention to the internal connection and relationship between knowledge, incorporate new knowledge into the existing knowledge system in time, and gradually form and expand the knowledge structure system, so that your knowledge base will become larger and more stable, the system will be more reasonable, and there will be no confusion of knowledge.
The third is to deepen the understanding of mathematical thinking methods. Is mathematics thoughtful? Yes, and the depth and breadth of his thoughts are unimaginable to ordinary people.
Why don't many people feel the existence of mathematical thinking methods? That's because most people pay too much attention to brushing questions and only look at a correct answer, rather than the thinking method hidden behind the question. Therefore, in addition to the necessary problem-solving training, mathematics learning should also develop the habit of summing up and reflecting after solving problems.
Reflect on your own thinking process, knowledge points and problem-solving skills, the advantages and disadvantages of various solutions, and the vertical and horizontal relations of various methods, and you will gradually realize the existence and application of mathematical thinking methods.
Mathematical thinking method refers to the rational understanding of the regularity of the formation of mathematical knowledge and methods, and is the fundamental strategy to solve mathematical problems. Mathematical thinking method reveals the essence of concepts, principles and laws, is a bridge to communicate basic knowledge and ability, and is an important part of mathematical knowledge. Mathematical thinking method is the abstraction and generalization of mathematical knowledge at a higher level, which is contained in the process of occurrence, development and application of mathematical knowledge.
Fourth, how to make good use of the wrong questions to improve your grades? The simplest truth is to turn "no" into "yes" and not "wrong" into "right". So, you must fully understand what you can't do. Where is your "mistake"? Only in this way can you know where your strength should go and where your learning goal is.
How to operate specifically? The best way is to set the wrong book.
The wrong title book is like a hospital medical record book, which records your "mistakes", weak links, important and difficult points, etc. Write down the mistakes you usually make, so that you can suit the remedy to the case, find out the "reasons" in time, take them out often, think about where they are wrong, why they are wrong, and how to correct them, so that when the exam comes, you can be confident.
Fifth, pay attention to the examination trends and optimize the examination skills. From the most basic point of view, it is to achieve excellent results in the senior high school entrance examination, college entrance examination or other major examinations. Therefore, we should not only do a good job in basic learning tasks, but also grasp the exam dynamics. For example, the senior high school entrance examination or college entrance examination pays more and more attention to the standardization and completeness of the problem-solving process, so you should develop good answering habits in the daily training process, and don't skip and miss the questions.
Everyone should understand that solving a problem requires a problem-solving process, and the process score is much more important than the final answer. Don't score if you don't do it.
When we train math exercises, we should constantly accumulate experience in solving problems, sum up solving methods, form solving ideas, optimize answering skills and master learning methods.
Through analysis and research, we found that some students lost in the senior high school entrance examination or college entrance examination in previous years, not because of lack of intelligence, not because they didn't study hard enough, but because they lost in the examination mentality and answering skills. In fact, the senior high school entrance examination, as an examination for selecting talents, has listed the examination of candidates' quality and ability as one of the most important objects. Candidates with good psychological state and other comprehensive qualities will certainly be able to better prevent test anxiety, arrange their time more reasonably and achieve excellent results.