Give students 32 suggestions: 1. Three "basics": the basic concepts should be clear, the basic laws should be familiar, and the basic methods should be skilled.
After you finish the topic, you must sum it up carefully, so that you won't spend too much time and energy when you encounter similar problems in the future.
3. Have a comprehensive understanding of mathematical concepts, and don't generalize by partiality.
4. The ultimate goal of learning concepts is to solve specific problems with concepts. Therefore, we should actively use the mathematical concepts we have learned to analyze and solve related mathematical problems.
5. To master the problem-solving methods of various types of questions, consciously sum them up in practice, and slowly cultivate the analytical habits that suit you.
6. Actively improve the ability to comprehensively analyze problems, and analyze and understand with the help of text reading.
7. In learning, we should consciously pay attention to the transfer of knowledge and cultivate the ability to solve problems.
8. We can integrate the knowledge we have learned into a system by analogy.
9. Linking the contents of each chapter, comparing different chapters and truly integrating the knowledge before and after can help us to understand the knowledge system and content systematically and deeply.
10. In mathematics learning, we can find out their similarities and differences and connections by comparing similar concepts or laws with formulas, thus deepening our understanding and memory. Clear the relationship between mathematical knowledge, thoroughly understand the concept, know its derivation process, so that knowledge is organized and systematic.
1 1. When learning mathematics, we should not only pay attention to the types of questions, but also pay attention to the typical types of questions.
12. For some principles, theorems and formulas in mathematics, we should not only remember its conclusions, but also understand how this conclusion was reached.
13. Learn to split and combine questions, learn to analyze and solve typical questions from various angles, and summarize basic questions and basic laws and methods.
14. Carry out special training according to the characteristics of various types of questions to improve the speed and quality of doing questions and improve adaptability.
15. The key to solving mathematical problems is to establish correct mathematical concepts, think from a mathematical perspective, and solve them with mathematical laws.
16. When listening to the teacher's comments, you should first think about how to do the problem, and then see if the teacher's solution is the same, that is, think about whether you and the teacher have the same idea. Look, think about the problem solving process on the teacher's blackboard, think about whether you can write like this, and think about whether there are loopholes in the teacher's problem solving process.
17. Review is the process of consolidating and improving what you have learned.
18. The basis of thorough understanding is deep memory. It is most appropriate to memorize teaching knowledge in a way of understanding and application. If there are formulas and theorems with similar forms, you can remember them by comparing the lists.
19. In the face of setbacks, we should consciously adjust our psychological state and don't focus on experiencing pain.
20. Keeping healthy and vigorous is a long-term job. We should pay attention to cultivate our good habits, persist in exercise and ensure a moderate and orderly life.
2 1. As the saying goes, no pains, no gains. If you want to grow up, you must work hard. Learning is not an easy task. If you want to get good grades, you must study hard.
We can use different methods for different types of problems. If you choose the correct method according to the actual situation in practice, you will save time and effort in doing the problem.
23. Doing problems is the most effective way to consolidate knowledge and an important link that cannot be ignored in the learning process.
24. Textbooks are always the focus of students' study. Therefore, we should not only firmly grasp the concepts and formulas in the textbook, but also ignore the small details in the textbook.
There are three kinds of topics in reference books that don't need to be done: topics that have been completely mastered, topics that are beyond the outline of the senior high school entrance examination, and topics that are too weird and strange.
26. Do the questions carefully. The key to doing the problem is to ensure accuracy and standardization. This requires everyone to develop a good habit of doing problems seriously, with complete steps and rigorous thinking.
27. Pay special attention to comprehensive questions and difficult questions, that is, the last one or three big questions on the test paper.
28. Learning is to summarize problem-solving methods, one is to summarize scientific thinking methods, and the other is to summarize problem-solving methods of important issues.
29. Be familiar with the essence, problem-solving steps and applicable problems of each method.
30. Pay attention to the scope of application and conditions of use of typical methods, so as to avoid the formula being applied stiffly and leading to errors.
3 1. For students with weak foundation, it is most important to master the typical topics in the textbook.
32. Use multiple ideas to find multiple solutions to the same problem. A multi-purpose question is to take the obtained result as a known condition, then turn a known condition into a asked question, and then analyze and answer it. When the topic is changeable, change a term or important sentence in the topic into other terms or sentences, and then answer. Practice one more topic and some more difficult topics, such as drawing, text analysis, column solution, checking calculation, etc. , to thoroughly understand the topic.