You need to learn the basics first, then do more problems and master more ways to do them. Then you will naturally learn skills, and by the way, I will tell you some ways to learn mathematics, hoping to help you.
1 How to learn high school mathematics well
A good beginning is half the battle. Senior high school math class is about to start, which is related to junior high school knowledge, but it is better than junior high school math knowledge system. In senior one, we will learn functions, which is the focus of senior high school mathematics. It plays an outline role in senior high school mathematics, and it is integrated into the whole senior high school mathematics knowledge, including important mathematical thinking methods in mathematics. For example, the idea of functions and equations, the idea of combining numbers and shapes, and so on. This is also the focus of the college entrance examination. In recent years, the final questions of college entrance examination are all entitled functional investigation methods. The exercises related to function thinking methods in the college entrance examination account for more than 60% of the whole test questions.
1, has a good interest in learning.
More than 2,000 years ago, Confucius said, "Knowing is not as good as being kind, and being kind is not as good as being happy." It means that it is better to love something than to do it, to know it, to understand it, and to enjoy it than to like it. "Good" and "happy" mean willing to learn and enjoying learning, which is interest. Interest is the best teacher. Only when you are interested can you have hobbies. If you like it, you have to practice and enjoy it. With interest, we can form the initiative and enthusiasm of learning. In mathematics learning, we turn this spontaneous perceptual pleasure into a conscious and rational "understanding" process, which will naturally become the determination to learn mathematics well and the success of mathematics learning. So how can we establish a good interest in learning mathematics?
(1) preview before class, and have doubts and curiosity about what you have learned.
(2) Cooperate with the teacher in class to satisfy the excitement of the senses. In class, we should focus on solving the problems in preview, regard the teacher's questions, pauses, teaching AIDS and model demonstrations as appreciating music, answer the teacher's questions in time in class, cultivate the synchronization of thinking and teachers, improve the spirit, and turn the teacher's evaluation of your questions into a driving force to spur learning.
(3) Think about problems, pay attention to induction, and tap your learning potential.
(4) Pay attention to the teacher's mathematical thinking when explaining in class and ask yourself why you think so. How did this method come about?
(5) Let the concept return to nature. All disciplines are summarized from practical problems, and mathematical concepts are also returned to real life, such as the concept of angle, the generation of polar coordinate system and the generation of polar coordinate system are all abstracted from real life. Only by returning to reality can the understanding of concepts be practical and reliable and accurate in the application of concept judgment and reasoning.
2. Establish a good habit of learning mathematics.
Habit is a stable and lasting conditioned reflex and a natural need consolidated through repeated practice. Establishing a good habit of learning mathematics will make you feel orderly and relaxed in your study. The good habits of high school mathematics should be: asking more questions, thinking hard, doing easily, summarizing again and paying attention to application. In the process of learning mathematics, students should translate the knowledge taught by teachers into their own unique language and keep it in their minds forever. In addition, we should ensure that there is a certain amount of self-study time every day, so as to broaden our knowledge and cultivate our ability to learn again.
3. Consciously cultivate your abilities in all aspects.
Mathematical ability includes five abilities: logical reasoning ability, abstract thinking ability, calculation ability, spatial imagination ability and problem solving ability. These abilities are cultivated in different mathematics learning environments. In the usual study, we should pay attention to the development of different learning places and participate in all beneficial learning practice activities, such as math second class, math competition, intelligence competition and so on. Usually pay attention to observation, such as the ability of spatial imagination is to purify thinking through examples, abstract the entities in space in the brain, and analyze and reason in the brain. The cultivation of other abilities must be developed through learning, understanding, training and application. Especially in order to cultivate these abilities, teachers will carefully design "intelligent courses" and "intelligent questions", such as multi-media teaching such as solving one question, training classification by analogy, applying models and computers, which are all good courses to cultivate mathematical abilities. In these classes, students must devote themselves to all aspects of intelligence and finally realize the all-round development of their abilities.
2 Other precautions
1, turn your attention to ideological learning.
People's learning process is to understand and solve unknown knowledge with mastered knowledge. In the process of mathematics learning, old knowledge is used to lead out and solve new problems, and new knowledge is used to solve new knowledge when mastered. Junior high school knowledge is the foundation. If you can answer new knowledge with old knowledge, you will have the idea of transformation. It can be seen that learning is constant transformation, continuous inheritance, development and renewal of old knowledge.
2. Learn the mathematical thinking method of mathematics textbooks.
Mathematics textbooks melt mathematics thoughts into mathematics knowledge system by means of suggestion and revelation. Therefore, it is very necessary to sum up and summarize mathematical thoughts in time. Summarizing mathematical thought can be divided into two steps: one is to reveal the content law of mathematical thought, that is, to extract the attributes or relationships of mathematical objects; The second is to clarify the relationship between mathematical ideas, methods and knowledge, and refine the framework to solve the whole problem. The implementation of these two steps can be carried out in classroom listening and extracurricular self-study.
Classroom learning is the main battlefield of mathematics learning. In class, teachers explain and decompose mathematical ideas in textbooks, train mathematical skills, and enable high school students to acquire rich mathematical knowledge. Scientific research activities organized by teachers can make mathematical concepts, theorems and principles in textbooks be understood and excavated to the greatest extent. For example, in the teaching of the concept of reciprocal in junior high school, teachers often have the following understandings in classroom teaching: ① Find the reciprocal of 3 and -5 from the perspective of definition, and the number of reciprocal is _ _ _ _ _. ② Understanding from the angle of number axis: Which two points indicate the reciprocal of numbers? (about the point where the origin is symmetrical) ③ In terms of absolute value, the two numbers of absolute value _ _ _ _ are opposite. ④ Are the two numbers that add up to zero opposite? These different angles of teaching will broaden students' thinking and improve their thinking quality. I hope that students can take the classroom as the main battlefield for learning.
3 Some suggestions on learning mathematics.
1, take math notes, especially the different aspects of concept understanding and mathematical laws, as well as the extra-curricular knowledge added by the teacher to prepare for the college entrance examination.
2. Establish a mathematical error correction book. Write down error-prone knowledge or reasoning in case it happens again. Strive to find wrong mistakes, analyze them, correct them and prevent them. Understanding: being able to deeply understand the right things from the opposite side; Guo Shuo can get to the root of the error, so as to prescribe the right medicine; Answer questions completely and reason strictly.
3. Memorize mathematical laws and conclusions.
4. Establish a good relationship with classmates, strive to be a "little teacher" and form a "mutual aid group" for math learning.
5. Try to do extra-curricular math problems and increase self-study.
6. Repeatedly consolidate and eliminate forgetting before school.
7. Learn to summarize and classify. Ke: ① Classification from mathematical thoughts, ② Classification from problem-solving methods and ③ Classification from knowledge application.
References:
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China Mathematics Online
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China Olympic Mathematics Network
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The Window of Mathematics in Guangzhou Middle School
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High school mathematics network
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Mathematical China
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Maisi Mathematical Network
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