For example, observe the following numbers: 0, 3, 8, 15, 24, ... try to write the number 100th according to this rule. To solve this problem, we can first find the general law, and then use this law to calculate the number 100. Let's compare the related quantities together: the numbers given are: 0, 3, 8, 15, 24, ... serial number: 1, 2, 3, 4, 5,.
2. Use the method of integrating theory with practice to make the boring math class interesting. Many different things are related. We can't look at problems in isolation and find the differences and connections between different knowledge points, which will help us reduce the amount of knowledge we understand and remember. For example, there is a translation relationship between proportional function and linear function.
As long as we really understand the function of the proportional function K and the translation law of B (addition and subtraction), then the linear function is a very simple problem; For example, when explaining line segments, straight lines and rays, it will be difficult for students to understand rays AB and BA if they don't pay attention to their relationship and only emphasize their differences. I don't know that straight lines AB, AC and ABC are actually straight lines.
3. Clear your mind: (1) summary and comparison of knowledge points. After learning each chapter, you should make a frame diagram of the content of this chapter or go through it in your mind to clarify the relationship between them. Similar and confusing knowledge points should be summarized and compared separately, and sometimes they can be distinguished by association.
(2) Summary and comparison of topics. Students can set up their own question bank. I have two sets of problem sets. One is wrong and the other is accurate. Write down the mistakes in the usual homework and exams selectively, and mark the matters needing attention with a red pen on one side. Just read what is written in red pen before the exam.