Mathematics required for senior high school 1 directory
Listen carefully in class and practice more after class. Mathematics: Theorem in the textbook, you can try to reason for yourself. This will not only improve your proof ability, but also deepen your understanding of the formula. There are many exercises. Basically, after each class, you have to do after-school exercises (excluding the teacher's homework).
The improvement of math scores and the mastery of math methods are inseparable from students' good study habits, so. 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, explore some new methods after solving problems, learn to think from different angles, and even change conditions or conclusions to find new problems. After a period of study, we should sort out our own ideas and form our own thinking rules. Homework: review your homework first, think before you start writing, and grasp a large piece of a kind of problem. You should do your homework carefully and standardize your writing. Only in this way can you learn math well.
In short, in the process of learning mathematics, we should realize the importance of mathematics, give full play to our subjective initiative, pay attention to small details, develop good math learning habits, and then cultivate the ability to think, analyze and solve problems, and finally learn mathematics well. In high school, there are many differences between mathematics and junior high school mathematics. The ability to understand knowledge is high, and the requirements for mathematical thinking are also high. It is impossible to rely on the previous methods. Generally speaking, the learning method of high school mathematics is mainly to listen carefully in class. Grasping the typical examples of teaching materials and mastering them thoroughly is king. Don't just read reference books, that's putting the cart before the horse. In addition, it is very important to make friends with teachers, and often communicate with teachers, ask questions and ask about learning methods. Establishing your own wrong-question file is a killer. In short, it is a process of accumulation. The more you know, the better you learn, so remember more and choose your own method.
Mathematics is a discipline that studies the concepts of quantity, structure, change, space and information, and belongs to a formal science from a certain point of view.
In the words of A Brief History of Mathematics, mathematics is a science that studies various structures (relationships) on sets. It can be seen that mathematics is an abstract subject, and rigorous process is the key to mathematical abstraction.
Mathematics plays an irreplaceable role in the development of human history and social life, and it is also an indispensable basic tool for studying and studying modern science and technology.
Mathematics originated from the early production activities of human beings, and the ancient Babylonians had accumulated some mathematical knowledge, which could be applied to practical problems. As far as mathematics itself is concerned, their mathematical knowledge is only obtained through observation and experience, and there is no comprehensive conclusion and proof, but their contribution to mathematics should also be fully affirmed.
The knowledge and application of basic mathematics is an indispensable part of individual and group life. The refinement of its basic concepts can be found in ancient mathematical documents of ancient Egypt, Mesopotamia and ancient India. Since then, its development has continued to make small progress. But algebra and geometry at that time were still in an independent state for a long time. Algebra can be said to be the most widely accepted "mathematics".
It can be said that the first mathematics he came into contact with was algebra since everyone began to learn to count when he was a child. Mathematics is a subject that studies numbers, and algebra is also one of the most important parts of mathematics. Geometry is the earliest branch of mathematics studied by people. Until the Renaissance in16th century, Descartes founded analytic geometry, which linked algebra and geometry which were completely separated at that time. From then on, we can finally prove the theorem of geometry through calculation; At the same time, abstract algebraic equations can also be graphically represented. Then more subtle calculus was developed.
As one of the most primitive mathematical applications in the west, Chip's modern mathematics has included many branches. French Bourbaki School, founded in 1930s, thinks that mathematics, at least pure mathematics, is a theory to study abstract structures. Structure is a deductive system based on initial concepts and axioms. They think that mathematics has three basic parent structures: algebraic structure (group, ring, field and lattice), ordered structure (partial order and total order) and topological structure (neighborhood, limit, connectivity and dimension).
Mathematics is applied in many different fields, including science, engineering, medicine and economics. The application of mathematics in these fields is generally called applied mathematics, which sometimes arouses new mathematical discoveries and promotes the development of new mathematical disciplines. Mathematicians also study pure mathematics, that is, mathematics itself, without any practical application. Although a lot of work started from the study of pure mathematics, it may find a suitable application later.