Operation is the basic skill to learn mathematics well. Junior high school is the golden age to cultivate mathematical operation ability. The main contents of junior high school algebra are related to operations, such as rational number operation, algebraic operation, factorization, fractional operation, radical operation, solving equations and so on. The lack of calculation ability in junior high school will directly affect the study of mathematics in senior high school. Think carefully before you start writing, less mental arithmetic, less skipping, and write clearly on the draft paper.
Second, the basic knowledge of mathematics
Understanding and memorizing the basic knowledge of mathematics is the premise of learning mathematics well. Understanding is to explain the meaning of things in your own words. The same mathematical concept exists in different forms in the minds of different students. Therefore, understanding is an individual's active reprocessing process of external or internal information and a creative "labor". The standards of understanding are "accuracy", "simplicity" and "comprehensiveness". "Accuracy" means grasping the essence of things; "Jane" means simple and concise; "All-round" means "seeing both trees and forests", with no emphasis or omission. The understanding of the basic knowledge of mathematics can be divided into two levels: first, the formation process and expression of knowledge; The second is the extension of knowledge and its implied mathematical thinking method and mathematical thinking method. Third, solve mathematical problems.
There is no shortcut to learning mathematics, and ensuring the quantity and quality of doing problems is the only way to learn mathematics well. Process. Fourth, mathematical thinking.
The integration of mathematical thinking and philosophical thinking is a high-level requirement for learning mathematics well. For example, mathematical thinking methods do not exist alone, but all have their opposites, which can be transformed and supplemented each other in the process of solving problems, such as intuition and logic, divergence and orientation, macro and micro, forward and reverse. If we can consciously turn to the opposite method when one method fails, there may be a feeling that "there is no way to doubt the mountains and rivers, and there is another village." As long as we attach importance to the cultivation of computing ability, grasp the basic knowledge of mathematics in a down-to-earth manner, learn to do problems intelligently, and reflect on our mathematical thinking activities from a philosophical perspective, we will certainly learn mathematics well. The method of learning mathematics efficiently mainly refers to reading mathematics textbooks carefully. Many students have not developed this habit and regard textbooks as exercise books; Some students don't know how to read, which is one of the main reasons why they can't learn math well. Generally speaking, reading can be divided into the following three levels: 1. Preview reading before class. When previewing the text, you should prepare a piece of paper and a pen, and write down the key words, questions and problems that need to be considered in the textbook. You can simply repeat and reason about definitions, axioms, formulas and rules on paper. Key knowledge can be approved, marked, circled and marked in textbooks. Doing so not only helps us to understand the text, but also helps us to concentrate on listening in class. 2. Read books in class. When previewing, we only have a general understanding of the contents of the textbooks to be learned, and not all of them have been thoroughly understood and digested. Therefore, it is necessary to read the text further in combination with the marks and comments made in the preview and the teacher's teaching, so as to grasp the key points and solve the difficult problems in the preview. 3. Review reading after class. After-class review is an extension of classroom learning, which can not only solve the unresolved problems in preview and classroom, but also systematize knowledge, deepen and consolidate the understanding and memory of classroom learning content. After a class, you must read the textbook first, and then do your homework; After learning a unit, you should read the textbook comprehensively, connect the content of this unit before and after, summarize it comprehensively, write a summary of knowledge, and check for missing parts. Thinking more mainly refers to developing the habit of thinking and learning the method of thinking. Independent thinking is an essential ability to learn mathematics. When studying, students should think while listening (class), reading (book) and doing (topic). Through their own positive thinking, they can deeply understand mathematical knowledge, sum up mathematical laws and flexibly solve mathematical problems, so as to turn what teachers say and what they write in textbooks into their own knowledge. Doing more mainly means doing exercises. When learning mathematics, you must do problems and do them properly. The purpose of doing the problem is first to master and consolidate the knowledge learned; Secondly, initially inspire the flexible use of knowledge and cultivate the ability of independent thinking; The third is to achieve mastery through a comprehensive study and communicate different mathematical knowledge. When you do the problem, you should carefully examine the problem and think carefully. How should we do it? Is there a simple solution? Think and summarize while doing, and deepen the understanding of knowledge through practice. Asking more questions refers to being good at finding and asking questions in the process of learning, which is one of the important signs to measure whether a student has made progress in learning. Experienced teachers believe that students who can find problems and ask questions have a greater chance of success in learning; On the other hand, students who can ask three questions and can't ask any questions themselves can't learn math well. So, how can we find problems and ask them? First, we should observe deeply and gradually cultivate our keen observation ability; Second, we should be willing to use our brains, not willing to use our brains, not thinking. Of course, you can't find any questions and you can't ask any questions. After discovering the problem, if the problem can't be solved by your own independent thinking, you should consult others humbly, teachers, classmates, parents and all those who are better than yourself on this issue. Don't be vain and don't be afraid of being looked down upon by others. Only those who are good at asking questions and learning with an open mind can become real strong learners.