First, pay attention to the lecture in class and review it in time after class.
The acceptance of new knowledge and the cultivation of mathematical ability are mainly carried out in the classroom, so it is necessary to pay attention to the learning efficiency in the classroom and seek correct learning methods. In class, we should follow the teacher's ideas, actively explore our thinking, predict the next steps, and compare our own problem-solving ideas with what the teacher said. In particular, we should do a good job in learning basic knowledge and skills, and review them in time after class without leaving any doubts. First, before doing all kinds of exercises, you should recall the knowledge points that the teacher said. Correctly grasp the reasoning process of various formulas, and try to recall the unclear places instead of turning to the book immediately. In a sense, you should not create a learning style of asking questions if you don't understand. For some problems, you should calm down and analyze them carefully and try to solve them yourself. At every learning stage, you should sort out and summarize and combine the points, lines and surfaces of knowledge into knowledge.
Second, do more questions appropriately and develop good problem-solving habits.
If you want to learn math well, it is inevitable to do more problems, and you should be familiar with the problem-solving ideas of various questions. First of all, you should start with the basic problems, follow the exercises in the textbook, and lay a good foundation repeatedly. Then find some extracurricular exercises to help you broaden your thinking, improve your ability to analyze and solve problems, and master the general law of solving problems. For some error-prone problems, you can prepare a set of wrong questions, write your own solution ideas, and find out your own mistakes by comparing the correct solution process. In order to correct it in time. We should develop good problem-solving habits at ordinary times. Let your energy be highly concentrated, make your brain excited, think quickly, enter the best state, and be able to use it freely in the exam. Practice has proved that at the critical moment, your problem-solving habit is no different from your usual practice. If you are careless and careless when solving problems, it will often be exposed in the big exam, so it is very important to develop good problem-solving habits at ordinary times.
Third, adjust the mentality and treat the exam correctly.
First of all, we should focus on basic knowledge, basic skills and basic methods, because most exams are basic topics. For those difficult and comprehensive topics, we should think hard and try our best to sort them out. After finishing the problem, it is necessary to sum up. We should adjust our mentality, let ourselves think calmly and methodically at all times, and overcome impetuous emotions. Especially always have confidence in yourself.
Be prepared before the exam, practice routine questions, spread your own ideas, and avoid improving the speed of solving problems on the premise of ensuring the correct rate before the exam. For some easy basic questions, you should be sure of 12 and get full marks; For some difficult questions, you should also try to score, learn to score hard in the exam, and make your level normal or even extraordinary.
Therefore, if you want to learn mathematics well, you must find a suitable learning method, understand the characteristics of mathematics, and let yourself enter the vast world of mathematics.
How to learn math well II
To learn mathematics well, senior high school students must solve two problems: one is to understand the problem; The second is the method.
Some students think that learning to teach well is to cope with the senior high school entrance examination, because mathematics accounts for a large proportion; Some students think that learning mathematics well is to lay a good foundation for further study of related majors. These understandings are reasonable, but not comprehensive enough. In fact, the more important purpose of learning and teaching is to accept the influence of mathematical thought and spirit and improve their thinking quality and scientific literacy. If so, they will benefit for life. A leader once told me that the work report drafted by his secretary from the liberal arts major could not satisfy him because it was flashy and lacked logic. So, I have to write my own manuscript. It can be seen that even if you are engaged in secretarial work in the future, you must have strong scientific thinking ability, and learning mathematics is the best thinking gymnastics. Some senior one students feel that they have just graduated from junior high school, and there are still three years before their next graduation. They can breathe a sigh of relief first, and it is not too late to wait until they are in senior two and senior three. They even regard elementary school and junior high school as "successful" experiences. Second, the most important and difficult content of high school mathematics (such as function and algebra) is in Grade One. Once these contents are not learned well, it will be difficult for the whole high school mathematics to learn well. Therefore, we must attach great importance to it at the beginning, even if the subconscious mind is slightly relaxed, it will weaken the perseverance of learning and affect the learning effect.
As for the emphasis on learning methods, each student can choose a suitable learning method according to his own foundation, study habits and intellectual characteristics. Here, I mainly put forward some points according to the characteristics of the textbook for your reference.
L, pay attention to the understanding of mathematical concepts. The biggest difference between senior high school mathematics and junior high school mathematics is that there are many concepts and they are abstract. Learning "taste" is very different from the past, and the solution to the problem usually comes from the concept itself. When learning a concept, it is not enough to know its literal meaning, but also to understand its hidden deep meaning and master various equivalent expressions. For example, why are the functions y=f(x) and y=f? Another example is why when f (x-l) = f (1-x), the image of function y=f(x) is symmetrical about y axis, while the images of y = f (x-l) and y = f (1-x) are symmetrical about the straight line x = 1.
2' Learning solid geometry requires good spatial imagination, and there are two ways to cultivate spatial imagination: one is to draw pictures frequently; Second, self-made models are helpful for imagination, such as those using four right-angled triangular pyramids.