Second, we must have the rigor of logical thinking. Mathematics is a rigorous subject. To solve any mathematical problem, whether algebra or geometry, proof or calculation, we need written evidence, so we should have evidence at every step when solving the problem. Even the most obvious facts should be justified. Sometimes writing can be simpler, but the process of thinking and reasoning should be rigorous.
Third, there must be flexibility in learning methods. The more content you learn, the wider the knowledge of each branch of mathematics involved, the more methods you have, and the greater the swing of solving problems. At this point, participants at home and abroad are handy; The poor are dazzled and at a loss. This requires children to be good at observing, thinking, imagining and summarizing when studying. We should be good at both creation and imitation. Only in this way can we raise our thinking from a lower level to a higher level.
First of all, build up confidence and develop good study habits.
I often hear some children say, "My brain is not good, and I'm not cut out for math." This is a sign of lack of self-confidence and weak learning will. In fact, if you want to learn mathematics well, you must first have the confidence and ambition to learn mathematics well, and there are rules to follow in learning mathematics. The key to learning well lies in whether you are interested in mathematics and have the courage to go forward.
If you want to study, you must form good study habits. It is necessary to change the simple and passive learning state of "attending class-doing problems" and develop the good habit of "previewing-attending class-reviewing-doing homework-summarizing".
Second, pay attention to learning methods and cultivate learning ability.
There are various learning methods, which should vary from person to person and should not be blindly applied. But learning math well must be gradual, which is the most basic learning method. We should pay attention to the understanding of basic concepts and the intensive training of basic skills, lay a solid foundation from easy to difficult, and avoid aiming too high. We should be diligent in independent thinking to prevent the phenomenon of being unintelligible, not seeking answers, and memorizing. So what are the specific ways to learn math well? How to improve the ability?
1. Learn to read math books and deeply understand every basic concept. There are many math books, but first of all, we should pay attention to textbooks, which are the basis of teaching and learning, the main source of basic knowledge, the guide to developing ability and the guide to acquiring learning methods.
2. Grasp the law, seek simplification and strengthen knowledge memory. Although rote learning is opposed in learning, the purpose is not to pay attention to understanding, not to forget. If some children face math problems, they can't find ideas and associate them, which is why they have too little knowledge in their minds. Only children with a solid memory of basic knowledge can be handy.
We should firmly grasp the important theorems, formulas and laws. Theorems, formulas and rules in mathematics are the basic tools to solve problems. Only by mastering them skillfully and flexibly can we have correct thinking methods and skills. For important formulas, we should be able to apply, reverse, change and use flexibly.
4. Study hard, conscientiously sum up mathematical thinking methods, and master common problem-solving methods and skills. As long as we know and summarize, master several commonly used mathematical thinking methods, and comprehensively use the knowledge of each branch, we can get twice the result with half the effort and achieve the effect of drawing inferences from one another.
Third, think hard and practice more to improve the ability to solve problems.
Because solving mathematical problems is a "practical" link in learning mathematics courses, solving mathematical problems is an important process to train children to use mathematical knowledge to solve problems. In the process of solving problems, children often encounter difficulties in understanding the meaning of problems and finding ways to solve them. To understand the meaning of the question, it is necessary to correctly examine the question, that is, to clarify the basic conditions, tap the hidden conditions, and clarify the requirements for answering questions. To find a solution to the problem, we should do three things, namely, recall, association and conjecture. As long as you think hard and practice more, you will certainly improve your problem-solving ability and make your thinking smarter, more rigorous and more flexible.