Question and answer about mathematics: My foundation is ok. I can understand what the teacher says in class, but once I do it myself, I can't. Help me analyze the reason. Mathematics depends on logic to eat and on logical deduction to develop.
When a teacher holds you to the logical starting point and tells you what this logical relationship is, for example, if you are hungry, look for food, and if it rains, look for an umbrella. After telling you this logical law, you will definitely run forward in logical order, which is why you can understand it in class.
Mathematics learning doubts
There are two modes of learning. One is imitation. The teacher gave me a number, wrote two similar exercises and drew them according to the teacher's model. The result was right, and I learned it. This is the way to learn mathematics by imitation. This method is the main means in primary school. In junior high school, this method still accounts for 60% of the weight, but not in high school.
The score you can get from imitation is 50 to 60, and the other scores depend on your understanding. The so-called understanding means listening to the teacher's explanation and watching the teacher solve the problem. You should refine him into a rational understanding. In your mind, you should keep the knowledge explained by the teacher and the questions he answered, as well as the regular things he reflected.
When you encounter new problems and new test questions, you should use this rule to face them. In this way, you can use the teacher's explanation naturally and smoothly in your own problem solving. This is called learning mathematics through understanding and epiphany. Then 60% or 70% of high school mathematics is studied in this way.