Return to textbooks, 4 tips that the number one in mathematics would not reveal

Dear parents: This morning, many parents asked me privately: \”The children are not interested in mathematics and their grades are always fluctuating. What should I do?\” Some parents said that they signed up for cram school for their children and tried many questions, but their grades were still not ideal; some parents even said that they bought a lot of learning materials at home, but their children were unwilling to read them at all. As a teacher who has been teaching for more than 10 years, today I would like to share with you some practical methods to help your children fall in love with mathematics again and steadily improve their grades. Three years ago, there was a girl in my class, Xiaoli, who could get full marks in every math exam. Once when I visited her home, I asked her how she did it. The child smiled and said, \”Teacher, there is nothing unique about it. It is just that I have thoroughly understood the textbook questions and exercises.\” \”Understanding the textbooks\” is the key content I want to share with you today. Many children do not learn mathematics well, the key is that they fail to grasp the root cause. In fact, textbooks are the most important, but many parents and children ignore this. Let’s take a look at how children who often get first place in mathematics learn! First point: read the textbook carefully and read the profound meaning. \”Who can\’t read the textbook?\” This is true, but here\’s the problem! I have asked many children: \”How many times have you read the textbook?\” Most of them answered: \”Just once or twice.\” When asked about the details, they were basically reading it in a hurry, like looking at the scenery. It’s different to the number one in mathematics, they really read it! You can read a knowledge point seven or eight times repeatedly, read it today, read it tomorrow, and read it the day after tomorrow. Every time I read it, my understanding becomes deeper. It’s like watching a good movie. I understand the content for the first time, discover the details for the second time, and understand the deep meaning for the third time. The same goes for math textbooks. Read it a few times and you will always find details you didn’t pay attention to before. Just like Xiaoli learned the \”Pythagorean Theorem\”, when she read the textbook for the first time, she only knew the side length relationship of right-angle triangles. The second time, she began to understand how to use this theorem to calculate the side length. On the third time, she suddenly realized that many practical problems in life can be solved by this theorem, such as calculating the height of the ladder against the wall. She said to me excitedly, \”Teacher, it turns out that the Pythagorean theorem is so practical!\” Isn\’t this the power of intensive reading textbooks? The second point: Make good use of case problems, it is the compass for solving problems. The examples in the textbook are carefully selected. Each example has its own unique value and can teach you how to solve the problem. Just like the student who always gets full marks said: \”Teacher, I love studying example questions very much. I have to think about every example question, why is it solved like this? Are there any other tricks? Where can this trick be used?\” How deeply this kid thought about it! He not only knows how to do the questions, but also understands the lessons after the questions. Just like many tutoring books nowadays, they will put related variant questions together, which is particularly convenient for children to learn. Just a while ago, a student was learning the \”sum of the inner angles of a triangle\”. The textbook example question was to verify that the sum of the inner angles of a triangle was 180 degrees. Not only can she follow the steps to cut paper and fold verification, but she also figured out whether parallel lines can be used to assist in the proof. She drew a cut-off line and easily proved that the sum of the inner angle is 180 degrees through the relationship between the co-orient angle and the inner misaligned angle. She said to me excitedly, \”Teacher, it turns out that there is such a clever way to prove the example questions!\” Since then, she will first check whether she can do it every time she does the questions.If you can use case questions, think about whether there are other shortcuts. Isn’t this a sign of learning? The third point: take notes, record rather than copy. Some children take notes and just copy the textbook content mechanically, and doing so is meaningless! There are four secrets for notes in the No. 1 in mathematics: 1. Record key details that are easy to ignore. 2. Write down the core steps of solving the problem clearly. 3. Mark out where errors are prone to. 4. Summarize the relationship between the questions. Only such notes are valuable because they are thought-provoked, not simply copied. For example, when a child is learning the \”sum of the inner angles of a triangle\”, the student\’s notes may be written like this: – Key point: The sum of the inner angles of a triangle is 180 degrees. -Step: Cut off the three corners of the triangle and form a straight line. – Reminder for errors: Don’t forget to verify the sum of the inner angles of different types of triangles (such as obtuse angles and acute angles). – Association: The sum of the inner angles can be used to calculate the degree of unknown angles. Such notes not only help children consolidate their knowledge, but also quickly grasp the key points when reviewing. Fourth point: Use the wrong question book cleverly. Everyone knows that it is important to sort out wrong questions, but how to sort them out effectively? I found that many children simply rework the wrong questions and do it right. In fact, this effect is limited! The first place in mathematics will do this when sorting out wrong questions: 1. Let’s see where the mistake is first: clarify the specific error points. 2. Think about why you are wrong: is it careless or not to master the knowledge points? 3. Summarize the characteristics of this type of question: find the rules and avoid repeat offenses. 4. Find a few similar questions to practice: consolidate knowledge points and ensure true mastery. Through such sorting, children can not only correct their mistakes, but also learn to learn from them. They will not be wrong when encountering similar questions in the future. Moms, have you found out? The key to learning mathematics is not how many questions you have done, but whether you have truly mastered the knowledge points. Textbooks are the most basic and important learning materials. Only by learning the textbook knowledge thoroughly can the grades be steadily improved. Some people may worry: \”Is this too slow?\” But we must clarify the purpose of learning: is it to deal with the current exam, or for the long-term accumulation of knowledge and ability cultivation of children? If it is just for short-term exam results, the tactics of the sea of ​​questions may bring temporary improvements. However, if it is for the future development of children and for them to truly understand and apply knowledge, you need to calm down and learn steadily. Look at those children who are ranked first in mathematics. The secret to their success lies in a solid foundation. Remember, there are no shortcuts to learning mathematics, but there are the right ways to do it. Helping children lay a solid foundation is equivalent to paving 90% of the obstacles to their future academic journey. Let us create a learning environment for children that focuses on understanding and pursues solidity, so that they can move forward steadily in the ocean of knowledge!