1, mathematical understanding ability is first of all understanding ability, that is, logical reasoning ability, which is everywhere in life. You can read a book about logic. If it is boring, then I can provide a simple way, that is, learn to think like this in life: the first step is what this thing wants to express and what my conclusion is; Step two, why is this? Is the reason sufficient? There are preferably three reasons (not absolute, of course). For example, I have a reason to want to eat fruit, but when discussing problems, three reasons are often very convincing); The third step is whether these reasons are at the same level, and whether the two are at the same level (for example, fruits and apples are not at the same level, and it is obvious that apples belong to fruits, so you have to look for the same level of vegetables).
2. Mathematics can almost be said to show the logical ability of pure reasoning, because mathematics simplifies everything into symbols, designs self-consistent (at least for now) axioms and extended theorem systems, and gives the best living environment for logical reasoning here. Therefore, it can be said that mathematical ability has greatly exercised people's logical ability. But if you want to master everything, you must be familiar with this thing (this has nothing to do with logic itself, logic is a form, a form of human thinking), for example, you learn to swim by car, you learn to use chopsticks and recite English words. So you must do more problems and think more about mathematics, so that your logical ability will be further improved in mathematics. This in turn enhances the logical ability in your life. Because mathematics is pure, people often say that people with good mathematics have good logic. In fact, it is not absolute. Logic exists independently. We may not have studied mathematics since childhood, but we have developed logical habits in our lives. Chinese is very convincing, but we can't learn math well because we are not familiar with it.
In a word, the key to understanding mathematics is to make good use of logic, which includes both logical form and mathematical knowledge content. Isn't the key means of mathematics to assume that the problem has been found, set it as X, and then deduce the proof step by step? This is deductive reasoning in logic. . . . . . I hope I can help you a little.
Question 2: How to improve the understanding ability of mathematics 1. Excellent professional knowledge.
Teachers must have solid professional knowledge to teach this course well. For example, as a math teacher, you should be an expert in solving problems, and you should be able to help students solve difficult problems. Otherwise, it is difficult for you to establish prestige among students and to cope with it in class. Professional knowledge generally refers to the unique mathematical ability of mathematics teachers. Includes the following aspects:
1, computing power
It is mainly reflected in the thorough understanding of arithmetic, the flexible use of the nature and laws of operation, the clever handling and high sensitivity of data, operation sequence and formula characteristics, which makes complex calculation simple, so as to calculate the results correctly, quickly, reasonably and flexibly.
2. Logical thinking ability
It is mainly reflected in the fact that teachers should be able to organize the knowledge structure of teaching materials, explore and express the ideas of solving problems by using analytical and comprehensive methods, so as to enhance their ability to solve problems. In the formation and consolidation of students' mathematical concepts, the exploration of mathematical laws and the establishment of conjectures, they can skillfully apply methods such as analysis, synthesis, comparison, abstraction, induction and analogy to teaching.
3. Space imagination
It is required to analyze the relationship between points, lines, surfaces and bodies in space graphics and some will conditions, draw a direct view of objects and models, imagine geometric bodies according to the description of a paragraph of text, and accurately draw some direct views of geometric bodies.
Question 3: How to practice the ability of understanding? How to improve the ability to understand problems? For example, when a teacher teaches a math problem, how to quickly understand its meaning? Understanding is innate. Some of them are practiced the day after tomorrow.
What nature has cannot be changed the day after tomorrow. But you can exercise the day after tomorrow.
Exercise needs some methods and sources: how much knowledge you have, how deep you think, the angle of thinking and so on. Usually, it is not impossible to think in a more targeted way. You should analyze more, ask more questions and increase your knowledge.
There is another kind that you can have naturally, so don't let it go the day after tomorrow. A healthy, happy, confident and kind person has good luck. If his spirit is decadent, full of pornography, and his heart is not right, he can slowly drain the essence he was born with. This person has no future.
Question 4: Children's understanding of mathematics is poor. Some main problems in mathematics learning: 1. Correctly understand and master some basic concepts, laws, formulas and theorems of mathematics, and master their internal relations. Because mathematics is a subject with strong knowledge coherence and logic, mastering every concept, rule, formula and theorem we have learned correctly can lay a good foundation for future study. If we encounter difficulties in learning a certain content or solving a certain problem, it is probably because we have not mastered some basic knowledge related to it. Therefore, we should pay attention to leak detection, solve problems in time, and strive to find a problem in time and solve a problem in time. Only with a solid foundation will our grades improve. 2. Cultivate mathematical operation ability and develop good study habits. After every exam, we often hear some students say: I was careless in this exam again. One of the most careless phenomena is the error caused by skipping steps, and it is repetitive. (Especially for senior one students, this phenomenon appears more frequently. In fact, this is the poor study habits and poor math ability caused by the fast psychology. You know, every step of a math problem is completed by using certain laws. If a step is ignored in the process of solving a problem, it will happen that the rules of this step are not applied correctly, which will lead to the wrong solution. Therefore, the improvement of computing ability is basically to understand "arithmetic", not only to know how to calculate, but also to know why to calculate like this. This is what we often say. We need to know both what it is and why, so that we can grasp the direction, mode and procedure of operation, complete it step by step, and improve our operation ability step by step. Students should pay attention, if you have the above-mentioned truancy phenomenon, you should correct it in time. Otherwise, if you know it for a long time, you will have a sense of fear, and you will worry about making mistakes before you start to solve the problem. The more mistakes you make, the more you make. 3. Pay attention to the process of knowledge acquisition and cultivate the ability of abstract, general analysis, synthesis and reasoning. When teachers explain formulas, theorems and concepts in class, they usually reveal their formation process, but this process is most easily ignored by students. Some students think: I just need to understand the theorem itself, and then use it, without knowing how they got it. This idea is wrong. Because the teacher is explaining the formation and occurrence of knowledge, he is explaining the thinking process of a problem and revealing a way of thinking and method to solve the problem, including the ability of abstraction, general analysis, synthesis and reasoning. If we don't pay attention to it, we actually miss an opportunity to learn from it, exercise and develop our logical thinking ability. 4. Grasp learning at the beginning of the semester. Learning depends on perseverance, but at the same time, we notice that learning at the beginning of the new semester is very important and plays an important role in connecting the preceding with the following. The holiday is over, the new semester begins, and the students have to devote themselves to the new study life again. During the short holiday, students will feel much more relaxed. At the beginning of school, you may not feel so nervous, but our study needs to start from the beginning of the semester. It is very important to pay close attention to the initial study. At the beginning of the semester, students often feel relaxed because of the lack of content and homework. However, this is a good time for us to study. On the one hand, there is a connection between before and after knowledge. Confucius once said, "Review the past and learn the new". We can use this time to review what we have learned before, so as to learn new knowledge better. On the other hand, students with poor foundation can also use this time to make up for the shortcomings in their past studies, which is also beneficial to the study of new knowledge. At the beginning of the semester, although we learned a little, it was not easy to really digest it all. Then you must take time to consolidate until you understand everything you have learned. From this point of view, although it is the beginning of the new semester, we still can't relax. A good beginning will lead to a good result. The improvement of math scores and the mastery of math methods are inseparable from students' good study habits, so finally we will discuss math study habits together. Good math study habits include: listening, reading, exploring and doing homework. Listening: We should grasp the main contradictions and problems in class, think synchronously with the teacher's explanation as much as possible, and take notes when necessary. Every time after class, we should think deeply and summarize, so as to achieve one lesson at a time. Reading: When reading, you should carefully scrutinize and understand every concept, theorem and law. For example, you should learn from others through links with similar reference books, so as to increase your knowledge and develop your thinking. Inquiry: Learn to think and ask questions ... >>