How to take math notes? How to do math notes

Record the content with three colored pens, black to record the knowledge and exercises, blue to record the process of solving the problem, and red to record the main points and key points.

Taking notes from a math textbook can be a bit heavy, and there are a lot of knowledge points, and some of the knowledge points are not within the scope of the key exams of the college entrance examination, so a lot of research on math papers and looking for rules is also a good way to learn math.

The focus is on memorizing definitions, theorems, and ideas for proofs. If the teacher is fast and the time is too late, you can only write down the approximate time.

Of course, the teacher should remember the important things, but don't take up class time. Be sure to take a little note on the premise of understanding the topic, and don't memorize some things that can be digested in class, just digest them directly.

Copy down the questions and don't write the answers. Instead, after sorting out the idea of the question, do it again in a week, and if you make a mistake at this time, you can take out the answer for reference and correction, and correct it with a red pen.

Math notes are mainly used to memorize formulas, theorems, definitions, and some typical problems. Formulas, theorems, definitions, etc. have been digested as the problem has been deepened, so the typical questions are the main content of the math notes, and the teacher should memorize how to solve them.

When the teacher explains in class, try to keep up with the teacher's rhythm with his thinking, and quickly summarize and summarize each question or knowledge point after the teacher's reminder or point.

First understand what you have in the mathematical knowledge system, and through the special topic arrangement, you can see whether you have a firm grasp of each knowledge point and whether you can produce horizontal transfer. After that, it can be based on the existing knowledge system, continuously expand and summarize, and form a larger knowledge system.

Be sure to pay attention to the legibility when taking notes, because many mathematical symbols can't tell anything when scribbled. For example, q and 9, b and 6, and so on.

The purpose of taking notes is to write down important knowledge points and difficult problems for later review. Long-term accumulation, the effect will be very obvious, the handwriting must be clear, at least you must be able to read clearly, so that you can count as notes.

How to make math notes is as follows:

1. Outline the content

Most of the teacher's lectures have an outline, and the teacher will concisely and clearly present the clues and key difficulties of a lesson on the blackboard during the lecture, and at the same time, the teacher will make it organized and intuitive. Write down the outline of these contents, so as to facilitate review and review after class, grasp the overall framework of knowledge, and be confident, clear and complete about what you have learned.

2. Remember difficult questions

Write down the questions that you didn't understand in class, so that you can ask your classmates or teachers after class to understand the questions. Teachers are limited by time and space, and it is impossible to take care of every student.

Correspondingly, some problems are difficult problems for some students, because the classroom is not mature to think, write down difficult problems, you can continue to think and ** after class, to understand and master, so that there will be a fault in knowledge, and the defects in the method will not be disturbed.

3. Remember ideas and methods

The problem-solving methods and analytical ideas introduced by the teacher in class should also be noted down in time. Digest it after class, if you have any doubts, make an independent analysis first, because it may be caused by your own misunderstanding, or it may be caused by the teacher's negligence.

4. Summarize and summarize

Pay attention to the teacher's summary after class, which is very useful for condensing the content of a lesson, finding out the key points and the connections between each part, mastering the basic concepts, formulas, theorems, finding rules, and integrating the content of the class.

At the same time, many experienced teachers summarize what they have learned after class, on the one hand, they summarize what they have learned, and on the other hand, they assign pre-study tasks or point out the content to be learned later.

5. Remember

Feeling that mathematics learning is a synthesis of intelligence, emotion, intention and action, and the process of mathematics learning is accompanied by a positive emotional experience and volitional experience. Writing down how you feel about your learning process can be used to better regulate your learning behavior.

For example, if you have a complex work, and you can write a self-encouraging sentence such as "hard work pays off" next to it to motivate yourself.

6. Remember the key points

Therefore, attention should be paid to the teacher's inspiration, analysis, explanation and doubtful discussion, and the teacher's explanation and board book should be organized in the class notes in an orderly and targeted manner. At the same time, you should write down what you have not heard or understood in class, and ask your classmates or teachers for advice after class until you fully understand it.

Take math notes so that we can review and consolidate them later. We need to prepare two notebooks, one is called "Notes in Class" and the other is "Selected Good Questions".

1. As the name suggests, "in-class notes" are important notes on the important content of the class.

In the new lesson, for the concepts, record the main points, key words, and deeper understanding of the conceptsFor theorems, it is necessary to record the conditions for the use of the theorem and the usage;For formulas, it is necessary to record the structural features, deformation characteristics, learning methods, and usage skills summarized by the teacher.

In the exercises, the example problems taught by the teacher are targeted and representative, and they can reflect the application methods of relevant knowledge points or special problem-solving skills. Therefore, our math tutor suggests that when you take notes, you should not copy the teacher's problem-solving process, just copy the example problems, leave appropriate gaps in the notebook, and do not affect the listening because of copying the answers. In class, you should concentrate on the teacher's questions or listen to the teacher's explanation, and pay attention to the use of the knowledge points emphasized by the teacher or the problem-solving skills.

After class, I will take the time to write the detailed steps independently in my notes and make a summary of each example problem. It is necessary to summarize the usage of a certain knowledge point in the example problem, the solution of this type of problem, and some special skills. Only in this way can the oak function of the example problem be reflected.

In the test questions (or exercises) lecture and evaluation class, some questions have unique skills, and some questions reflect the special use of a certain knowledge point, which we need to record. In addition, there are some topics that are themselves a formula or a regular conclusion, which we will call a second-class formula or a second-class theorem. Not only do we have to write them down, but we also have to memorize them, which can give us a broader perspective when doing problems, at least when doing multiple-choice or fill-in-the-blank questions, we can apply them directly.

Second, we prepared another filial piety Ruqin notebook "Selected Good Questions", which is mainly used to register some valuable topics. For example, in a test paper, you are prone to make mistakes, technical questions, distinctive questions, or questions that you feel are valuable, and some exam experience, you should record them in this book.

There are also valuable topics that you encounter in extracurricular reading materials are also registered. In the process of registering these questions, you will deepen your understanding of them and thus memorize them. After a while, when you look at these questions again, you can check your mastery of the knowledge they reflect.

At the end of a semester, if you can do all the good questions you record, then your level is not ordinary.

1. Remember the key points, difficulties and doubts.

Before each lesson, the teacher will list the objectives, key points, and difficulties of this lesson, so that we can have a bottom of what we want to learn in this lesson, and it is easier to grasp the key content of this lesson with the goal of learning, improve the learning efficiency of the class, and write down the important and difficult points of this section so that it is easy to grasp the core of the review when reviewing later.

2. Conceptual knowledge and its conceptual analysis in this section

Each lesson has new content for each lesson, and the formation process of each knowledge point concept is also an analysis idea for us to solve the problem, no matter how the question type changes, the analysis of the solution idea is always around these basic concepts, and the concept is thoroughly understood and laid the foundation for our later problem solving.

3. Memorize the analysis of the example problems in this lesson and their solution ideas

In fact, the knowledge content of each lesson of our math scum shirt is not much and it is not difficult to understand, the difficulty is that it is difficult to do the questions, and many question types are extended around these basic knowledge (which is not the difficulty of a lesson).

After the knowledge content of each lesson is finished, the teacher will summarize and explain the question types involved in this section, so when we take notes, we can't blindly bury ourselves in knowledge, but understand the teacher's problem-solving ideas, sort out this idea again, write it down, and make a comparison with the teacher's process.

The difference is **, and then mark it out, and finally summarize the method of doing this type of question, and write it next to this example question in different colors.

Fourth, it is easy to make mistakes and easy to mix up.

After each lesson, the teacher will assign homework appropriately for the content of this lesson, write down the questions that are easy to make mistakes in the process of doing it in our notebook, and analyze the reasons for the mistakes to avoid making the same mistake next time.

In the process of solving problems in mathematics, no matter how the question type changes, it is always formed around the change of one or several knowledge points, and what we need to do is to analyze the meaning of the problem, grasp the core, and solve it one by one.