1. Most people who have studied mathematics admit that mathematics is a subject that can obtain accurate results. It would be great if it could be used to find answers to real-life problems! Unfortunately, mathematics is too abstract and too concrete. I feel that apart from the fields of engineering and scientific research, there are still a few times when arithmetic is needed, and there is no way to apply it to reality. In fact, the way of thinking used in the process of arriving at accurate results is where we can apply mathematical thinking.

2. First: We must try our best to understand the question. When many people encounter problems, they don't really put in the effort to "understand the problem", but stay on the superficial phenomena and work blindly. We can use analogies to compare the current problem with familiar problems that have been solved before and find the similarities. We can use drawing to help us understand, which is much more efficient than our fantasy. We can also constantly switch our focus between the overall and the details, which not only observes the details in depth, but also avoids being overly entangled in one of them. Because we continue to observe new details, we can continue to strengthen our overall understanding of the problem. We also need to pay special attention to unknown quantities, which often contain the key to solving problems.

3. Second, quickly find ideas for solving problems. Many people will fall into confusion when faced with complicated clues, feeling like they can't find a breakthrough. We can use the method of setting special cases to conceive a clear object with distinctive characteristics, so that we can know what to do at once. We can also use reverse thinking, because if the answer is unique, the path that can be deduced is often unique, or at most a few, and it is not laborious to use the elimination method. Starting from the starting point, there may be more than ten or twenty paths to explore, and the difficulty naturally varies greatly.

4. Third, make sure your answer is correct. The methods we come up with to solve problems must withstand the "special" test and be applicable even if special individuals appear, because the solutions we find need to be reusable and even solve problems in other fields. After solving the problem, you still need to review it and find areas that can be improved. For example, make the cumbersome process shorter, check whether the unknown quantity is thoroughly understood, self-test whether you can understand the solution process at a glance during the "question review", and analyze what details are relevant. Global etc.