Mathematical learning: Doing problems is a means, not an end
Nature is complex and colorful, and people try to describe the objective laws of nature in the most concise language, which gives rise to mathematics.
Mathematics is a science of thought and a logical language that describes science. So, in a way, we can understand mathematics as the science of science.
The vast mathematical system is roughly composed of levels of knowledge, techniques, methods, and ideas.
Mathematical knowledge is inexhaustible, and mathematical skills are superficial. Digging deep into mathematical techniques to construct theoretical systems can form mathematical methods, and mathematical ideas can be extracted from mathematical methods.
Mathematical ideas and methods are often universal, helping us to understand some exquisite mathematical techniques and further learn more mathematical knowledge, and thus get closer to the nature of nature.
The primary goal of learning mathematics is to learn mathematical knowledge and skills, the intermediate goal is to master a certain method, and the higher goal is to understand and apply mathematical ideas.
In order to consolidate mathematical knowledge and learn mathematical skills, we need to carry out the necessary specialized training, that is, to do problems.
In the process of doing the questions, if you think more about the knowledge and skills you have learned, you can hope to find a more general method. Further, the search for intrinsic connections between multiple mathematical methods can coalesce highly condensed mathematical ideas.
In the process of learning mathematics, it is necessary to do problems, but doing problems is only a means, not an end. In the process of doing the question, we need to think deeply, otherwise, the question is just doing the question, simple repetition.
In the process of learning mathematics, many middle school students and college students are only concerned about how to solve the problem, but they rarely care about why the problem is so wanted to do so. If you can add some deeper thinking in the process of doing the problem, you can learn mathematics with half the effort.
The above ugly views are only throwing bricks and jade, and the ultimate truth is in the hands of all the great gods and masters! Welcome Axe Masakazu and share [smile] [applause]
