Engels said: "No matter where you study, you can't learn the fastest from the consequences of your own mistakes." Children's learning is a process of constantly making mistakes and constantly correcting mistakes. If we can concentrate all the wrong questions in mathematics learning, guide students to reflect, analyze the causes of the mistakes, and then make a systematic and comprehensive analysis and diagnosis, we can greatly improve the correct rate of the whole class and minimize the error rate. This is the advantage of establishing "wrong problem set" for teaching.
Using the wrong textbook is not only important to learn mathematics in primary school, but also important in junior high school and senior high school. The more knowledge, the more difficult it is to sort out and summarize. Therefore, learning to use the wrong textbook correctly in primary school not only improves the present grades, but also establishes good habits and foundations for future study.
The advantages of sorting out the wrong problem book
Correct your mistakes and change your thinking.
Deepen your knowledge, not only from the front but also from the side.
Increase your own methods and skills to do problems.
Be sure to use a notebook.
Do not advocate the use of convenience labels! As more and more wrong questions are sorted out, it is easy to find the location of the problem later if the knowledge is pasted in the corresponding position with convenient labels. It is absolutely twice the result with half the effort to sort out and summarize all the wrong questions in a notebook and write down your own ideas and unfamiliar knowledge points in the notebook.
Both loose-leaf books and fixed paper books are acceptable, but try to use loose-leaf books. The feature of loose-leaf book is that it can change the order of pages, so that you can insert the content in the middle if you need to add anything.
What wrong questions need to be sorted out?
There are often various forms of wrong questions. What kind of mistakes need to be sorted out? Generally speaking, there are three types of content that children need to organize themselves:
One is the problem of mistakes in homework and exams, because I really can't do it. This may be due to insufficient understanding of some knowledge points or vague concepts, including some difficult problems that require students to have a higher level of thinking. This is the focus of finishing, but also the difficulty to be used in review.
Second, mistakes caused by carelessness and unclear audit in practice. Such as copying wrong questions, miscalculating and missing mistakes, which seem easy, are actually the source of students' repeated mistakes and cannot be ignored.
Third, after sorting out the first two points, students can add content after they get into the habit of recording wrong questions. That is, the challenging questions, typical questions and error-prone questions found in your usual supplementary exercises. For some students with good foundation, we can also guide them to change their conditions and fill in the questions themselves for this kind of questions.
How to do a good job of record arrangement
Recording problem
You can choose to copy them all by hand, because you can be familiar with them again when you copy them by hand.
Wrong question arrangement format
Steps: correct process+understanding
1, write the correct process.
Whether it is a big question or a multiple-choice question, you should tell the correct process and write it again. If the topic has multiple ideas, you can sum it up and write down all the situations.
If you write the right process, don't repeat your wrong process. When we read the wrong questions, we should constantly deepen our correct thinking. Writing wrong thoughts is meaningless, but it will deepen your wrong impression.
2. Write down your understanding
Understanding includes your mistakes, the knowledge points of this question, your understanding of this question and which questions are similar, etc ... Every time you misread a question, you can deepen your understanding and impression.
With regard to the arrangement ideas mentioned above, you can try them according to the above ideas, and then modify them according to your own situation. You must find a suitable way to record them.
Paper distribution
Write along a page, regardless of columns, but pay attention to leaving gaps between questions, which can not only make the layout clear, but also add a summary later.
Summary: where students make mistakes is the difficulty of learning. By recording mistakes, finding the rules, grasping the key points, and reviewing and remedying in a targeted manner, we can achieve purposeful, focused and efficient learning.
Hello, now Chen Lin will answer the above questions. The general method of finding the inverse matrix, the formula