Life is inseparable from mathematics, so how to learn mathematics well? For learning junior high school mathematics well, I summarized the following points:
First, master the preview methods before class and improve the ability of mathematics learning.
To learn math well, it is essential to be fully prepared before class.
1, when reading preview, you should be careful, read word by word, focus on strokes, and focus on understanding. If you encounter an unsolvable problem, mark it, and the teacher will take it as the focus of the lecture.
2. Think about the difficult problems in the preview. If it is a basic question, you can use your previous knowledge to see if you can make it clear. If it is a problem of understanding, you can write it down and listen carefully in class and solve it through positive thinking. This will help to improve your understanding of knowledge and form a good thinking habit of learning mathematics.
3. Speaking of preview, you may feel very vague. You can discuss with your parents or classmates and find the correct answer in the cooperation and discussion of classmates. This will increase students' interest in exploring new courses, help them understand the practical use of mathematical knowledge and have an accurate concept of knowledge.
4. You should also write and write before class. When preparing lessons, you should take appropriate study notes, mainly including the initial experience and experience when reading a book, the understanding of the problems you have understood, and the recording and thinking of difficult problems.
5, do a preview application problem, you can use the method of drawing line segments to help understand the relationship between quantity and quantity, find out the known conditions and problems, and find the way to solve the problem. For some graphic problems, you can do it in preview, cut and paste and spell it to increase your perceptual knowledge.
6. Making up old and new knowledge in math class is often closely related. If you find something unclear about what you have learned in the preview, you must understand it in the preview, consolidate your memory of old knowledge and lay a solid foundation for learning new knowledge.
7. Practice is usually a typical example of each class. When previewing, you should do all the examples to deepen your understanding. If you do something wrong, you should figure out where you did it wrong, why you did it wrong, and how to correct it. If you still can't find the root of the error, you can listen carefully and understand it slowly.
Second, master the classroom learning methods to improve the classroom learning effect
Choosing a good learning method is the key to learning mathematics well. Mathematics class should adhere to the "five senses", that is, ears, eyes, mouth, heart and hands.
Listen carefully. Listen carefully. In the process of listening to the class, listen to the key points and difficulties of the knowledge told by the teacher and listen to the contents of the students' answers to the questions.
Eye-catching: keep your eyes open and connect the knowledge in the book with what the teacher said in class.
Mouth-to-mouth: positive answers, questions that were not mastered during preview, and new problems in class.
Heart orientation: wholeheartedly, think carefully in class, pay attention to understanding knowledge in class, explore with practice and be proactive.
Reach out: while listening, watching and thinking, take some notes appropriately.
Third, master the practice methods and improve the ability of solving mathematical problems.
To learn math well, it is important to do enough exercises.
1. Correct attitude and fully understand the importance of mathematical practice. Practice can not only improve the answering speed and master the answering skills, but also often lead to many new problems in practice. This will solve many problems in repeated practice.
2. Have confidence and willpower. Mathematics practice is a process of repeated practice, which often involves complicated calculations and profound proofs. You should have enough confidence, tenacious will and patient and meticulous habits.
3. We should form the good habit of thinking first, then answering, then checking, seriously thinking, grasping the key, and then answering. Having good habits is very important for our future study.
4. Observe carefully, use flexibly, find the rules and become a skill. In this way, in repeated practice, we improved our ability to answer questions.
Fourth, master the review methods and improve the comprehensive ability of mathematics.
To learn mathematics well, we must consolidate and review it. Review and consolidation should pay attention to master the following methods:
1. Arrange the review time reasonably, "strike while the iron is hot", and you must review the lessons you have finished on the same day. To consolidate review, we must overcome the bad habit of doing homework without reviewing books and consulting books as reference books.
2. The comprehensive review method is widely used, that is, by finding out the left-right relationship of knowledge and the internal relationship between vertical and horizontal. Comprehensive review can be divided into three steps: first, look at the overall situation, browse all the contents, and initially form a complete impression of the knowledge system by evoking memories; Second, deepen understanding, comprehensively analyze what you have learned, and finally consolidate it.
3. Pay attention to practical review methods. By "completing practical homework" to review mathematics, educators clearly point out that "we should attach importance to the practical application of knowledge as an important review method" in mathematics courses. For example, if you review the quadratic equation of one variable, you can do the following four questions.
(1) Equation 3X2-5X+a = 0, one of which is greater than -2 and less than 0, and the other is greater than 1 less than 3. The range of real number a.
(2) Equation 2mX2-4mX+3(m- 1)= 0 has two real roots, and the range of real number m is determined.
(3) The two equations x2+(m-2) x+5–m = 0 are both greater than 2, and the range of real number m is determined.
(4) It is known that the two side lengths A and B of a triangle are two in the equation 2x2–MX+2 = 0, and the side length C is 8, which is the range of real number M. ..
4. Broaden the collection and break through the review methods of weak links.