Solving and doing problems is only a link in the learning process, not the whole learning. You can't solve a problem for the sake of solving it. Solving problems is for reading. Is to check whether you have read the textbook, whether you have a deep understanding of the concepts, theorems, formulas and rules, and whether you can use these concepts, theorems, formulas and rules to solve practical problems. When solving problems, the clearer our concepts are, the more familiar we are with formulas, theorems and laws, and the faster we will solve problems.
Therefore, before solving problems, we should familiarize ourselves with, remember and distinguish these basic contents by reading textbooks and doing simple exercises, correctly understand the essence of their meanings, and then do the following exercises all the time.
Second, be familiar with the previously learned knowledge involved in the exercises, as well as the knowledge related to other disciplines.
Sometimes, when we encounter an exercise that we can't do, it's not that we haven't learned what we want to learn now, but that we want to use a formula we learned in the past, but we can't remember it clearly; Or we need to use a special theorem, but we have never learned it, which greatly reduces the speed of solving problems.
At this time, it is necessary to add some relevant knowledge that must be added first, and clarify the concepts, formulas or theorems related to the topic before solving the problem, otherwise it is a waste of time. Of course, the speed of solving problems is even more impossible.
Third, be familiar with the basic steps and methods of solving problems.
The process of solving problems is a process of thinking. For some basic and common problems, predecessors have summarized some basic problem-solving ideas and common problem-solving procedures. Generally, as long as you follow these ideas and steps, it is often easy to find the answers to the exercises. Otherwise, detours will take more time.
Fourth, make a summary.
After solving a certain number of exercises, the knowledge involved and the methods of solving problems are summarized, which makes the thinking of solving problems clearer and achieves the effect of giving inferences by analogy. Similar exercises can be seen at a glance, which can save a lot of time in solving problems.