How to learn mathematics well

First of all, you must be interested in learning mathematics. Confucius said more than 2,000 years ago: "Those who know well are not as good as those who are good at it, and those who are good at it are not as good as those who are happy." The "good" and "happy" here refer to the willingness to learn, the love to learn, and the interest in learning. They are world-famous Einstein, the great scientist and founder of the theory of relativity, also said: "In school and in life, the most important motivation for work is the fun of work." The fun of learning is the initiative and enthusiasm for learning. We often see I saw some students immersed themselves in reading and thinking for a long time in order to clarify a mathematical concept; they even forgot to eat and sleep in order to solve a mathematical problem. This is first of all because they are interested in learning and researching mathematics. It is hard to imagine that people who have no interest in mathematics and have headaches when seeing mathematics problems can learn mathematics well. To cultivate interest in learning mathematics, we must first understand the importance of learning mathematics. Mathematics is called the queen of science. It is an essential tool for learning and applying scientific knowledge. It can be said that without mathematics, it is impossible to learn other subjects well; secondly, you must have the spirit of study and the tenacity to learn well. In the process of in-depth study, you can get a glimpse of the mystery of mathematics and realize the key to success in learning mathematics. joy. Over time, students will naturally develop a strong interest in mathematics and stimulate a high degree of consciousness and enthusiasm for learning mathematics well.

With the interest and enthusiasm in learning mathematics, you must learn mathematics well, pay attention to learning methods and develop good study habits.

Knowledge is the basis of ability, and we must do a good job in learning basic knowledge. The learning of basic mathematics knowledge includes three aspects: concept learning, learning of theorems and formulas, and learning of problem solving. When learning mathematical concepts, you must be good at grasping its essential attributes, that is, the attributes that distinguish this concept from other concepts; when learning theorem formulas, you must firmly grasp the internal connection of the theorem direction, grasp the applicable scope and question types of theorem formulas, To be able to apply these theorem formulas skillfully, mathematical problem solving is actually to resolve contradictions on the basis of proficient mastery of concepts and theorem formulas, and to complete the transformation from "unknown" to "known". We should focus on learning various transformation methods and cultivating the ability to transform. All in all, when learning basic mathematical knowledge, we should pay attention to grasping the overall essence of knowledge, understanding its laws and essence, and forming a closely connected overall cognitive system to promote the mutual transfer and transformation between various forms. At the same time, we must also pay attention to the knowledge formation process that everywhere implies the ways, means and strategies for people to solve problems in teaching activities. Mathematical ideas and methods are everywhere used as guides, and this is what we most hope to learn when learning knowledge. to something.

Mathematical thinking methods are the bridge that transforms knowledge and skills into abilities, and are a powerful pillar in the mathematical structure. The ideas of functions, equations, and the combination of numbers and shapes are permeated in middle school mathematics textbooks. , the idea of ??logical division, the idea of ??equivalence transformation, the idea of ??analogy induction, introduces the matching method, elimination method, substitution method, undetermined coefficient method, proof by contradiction, mathematical induction method, etc. While learning mathematical knowledge well, we must also Make great efforts to understand the principles and basis of these ideas and methods, and through a lot of practice, master the steps and techniques of applying these ideas and methods to solve mathematical problems.

In mathematics learning, special attention should be paid to the cultivation of the ability to use mathematical knowledge to solve practical problems. The trend of socialization of mathematics has caused the slogan of "popular mathematics" to sweep across the world. Some people believe that future jobs are provided for talents who are already prepared for mathematics. The "prepared for mathematics" mentioned here does not only mean Understand mathematical theory, and more importantly, learn mathematical ideas, and learn to flexibly apply mathematical knowledge to solve real-world problems. To cultivate the ability to apply mathematics, we must first develop the habit of mathematizing practical problems; secondly, we must master the general method of mathematizing practical problems, that is, the method of establishing mathematical models. At the same time, we must also strengthen the connection between mathematics and other subjects. , in addition to its connection with traditional subjects such as physics and chemistry, you can properly understand the application of mathematics in economics, management, industry, etc.

If we not only learn mathematical knowledge and skills in a down-to-earth manner in mathematics learning, but also firmly master mathematical ideas and methods, and can flexibly apply mathematical knowledge and skills to solve practical problems, then, We are on the road to successful mathematics learning.