How great it would be if we read this article when we start learning math with our children!

If you open this article, I really appreciate you reading it. Regarding children learning mathematics, I wrote this special topic about children learning mathematics. Although I am now a father, as a liberal arts student who has been afraid of mathematics since childhood, I know very well the fear caused by mathematics. I hope that every parent and mother who is troubled by mathematics can see that it can change the current situation of children\’s learning, whether in primary school or middle school, and guide their children to learn mathematics easily and happily in the future. At the same time, when the summer vacation is coming, you may be like me and want to send your child to a summer cram school. After reading this, I believe you have the answer? At least, change your understanding of mathematics learning a little, and don’t deny your children’s growth based on mathematics; online class by Jo Boaler, professor of mathematics education at Stanford University. After several years of research on brain science and mathematics, we have come to the most important conclusion: Anyone can learn mathematics well! Ordinary people can learn mathematics well! The key point lies in changes in methods and ways of thinking. After reading this, I hope that as a parent, like you and I, you will keep reading. Being a parent requires a correct understanding: the plasticity of the brain. The plasticity of the brain is amazing. Taxi drivers in London need to be familiar with 20,000 routes before they can take up the job. The spatial perception part of their brains is far more developed than ordinary people. Is it natural? of course not! This is because the brain is reshaped through continued practice and experience. If you don\’t learn mathematics well, it\’s not because you\’re inherently bad, but because you don\’t have enough experience. As the brain continues to experience new things, the connections between neurons continue to change and strengthen. We can build a strong mathematical brain through hard work. Learning experience and efficiency The better the learning experience of a subject, the more efficient the brain remodeling will be. Experiments have proven that these activities are both fun and can improve your mathematical brain: graphic games, origami, board games, Lego, computer games, map reading, etc. Learning should not be boring, but should be full of fun and exploration. In these activities, children can not only have fun, but also subtly improve their mathematical thinking skills. Here are some useful information for parents and readers: 1. Mathematics learning at the primary school level. I suggest that for primary school students, especially grades one to four, there is no need to worry about not getting full marks. At this stage, the most important thing is to lay down the basic skills rather than pursuing perfect scores. A score of 95 or above is already very good, and there is not much difference from 100 points. A true math talent needs to be able to enjoy the fun of childhood during the holidays instead of being burdened by the pressure of Mathematical Olympiad or early make-up lessons. This is a critical time to develop a child\’s love and interest in mathematics. However, by fifth grade, things started to get serious. Mathematics becomes a real watershed at this stage. Not only do you need to learn fractions and their operations, which are half of the entire primary school mathematics calculation, but you also need to learn important mathematical concepts and properties such as factors, multiples, sums, and prime numbers. This is the key foundation for the development of mathematical thinking and the future of mathematics, physics, and chemistry. An important cornerstone of the discipline. If this part of the knowledge is not solid, mathematical and physical calculations will face serious challenges in middle school. 2. Mathematics in middle school and beyondAfter entering middle school, the essence of mathematics learning is not only a test of intelligence, but also a test of students\’ ability to think deeply. Especially when entering high school, students who lack in-depth thinking will face many difficulties in the learning process, and their grades will most likely suffer setbacks as a result. Usually what we praise as smart is not actually the same as high IQ. Many times, children\’s alertness and quick reactions are not always an advantage in learning mathematics, but sometimes become their disadvantage. In order to achieve excellent results in the field of mathematics, the first thing required is a student\’s calm character and endurance. Children who perform well in primary school do not necessarily continue to perform well in secondary school. Real math masters are often not those students who appear to be particularly clever on the outside. On the contrary, many outstanding academics may seem dull and not agile enough to outsiders. This just reflects a profound concept: \”Quietness breeds wisdom.\” It is this kind of children who can calm down and study independently, who can often go further on the road of mathematics and show real academic depth and problem-solving ability. So, let\’s first take a look at those who are good at mathematics. How to learn. Kunihiko Kodaira, winner of the Fields Medal, the Nobel Prize in mathematics. He said: \”For me, there is nothing more difficult to read than a mathematics book. Reading a book of hundreds of pages from beginning to end is simply a fantasy!\” Here I will summarize it for you: Even mathematicians feel that mathematics It’s difficult, and it’s simply unrealistic to read it from beginning to end in one go. Later, he discovered that as long as you understand mathematics, in fact, my personal opinion is that if you understand the principles, subsequent learning will be easy. During his college years, Kunihiko Kodaira completed a full year of linear algebra courses in just 8 days. The learning methods of great people are very similar, because they understand the essence of learning: imitation + deliberate practice. If I had known this method decades earlier, mathematics might not have been my nightmare. But it’s not too late to know now. I can’t wait to use this method to help my daughter, and I hope it can help you. I saw someone commenting on this method like this: I taught myself this way in the past! Although the results are slower, it is really useful. The foundation is very solid. Once you learn it, you will be no worse than the teacher. But because it was not a quick course, I didn’t have time to learn it on my own in school, and the results were slow. People around me laughed at my stupid method, but I almost didn’t lose points in the sections I learned. Based on his learning methods, I think ordinary people can also have the secret to learning mathematics efficiently, as follows: Ordinary people learn mathematics, master the core concepts and theorems of the principles in the figure above, understand and memorize them. The core concepts and theorems of mathematics are very important and will appear repeatedly when doing the questions, so be sure to understand and memorize them. Independently derive all possible derivation, and master the derivation process proficiently. When you encounter a theorem, try to derive it yourself first, and then read the book if you really don’t understand it. If you don\’t understand, just copy it down and read it over and over again. After you understand it, think about other derivation methods, or even reverse reasoning. This is the core of mathematical thinking and must be mastered. Record the insights during the learning process, never attend the meeting, and write down the questions you understand in the notebook. Your own progress is very valuable. You must record it and review it later to avoid forgetting. Every time you learn a knowledge point, stick to itMaster and prevent forgetting. The best way to combat forgetting is to review frequently. I often learn the following content but forget the previous content. I can only review it from the beginning and do the questions repeatedly to achieve proficiency and never forget it. Isn’t this very similar to what Feynman told his sister Joan to read astronomy books: “Read from the beginning, and read as far as you can, until you encounter something you don’t understand, then start from the beginning again, and keep reading until you understand it completely. \”Step by step and repeat. Use the previous knowledge to understand the following and integrate it. Don\’t be impatient, keep expanding outward at the edge of your comfort zone, and gain knowledge points you haven\’t mastered step by step. Remember not to jump directly to the panic zone of learning. For example, if some parents let their children learn advanced algebra at the elementary school level, they will directly lose interest in learning mathematics. Remember, learning mathematics is a long-term accumulation process. As long as the method is right and you stick to it, the process may be a little tiring for mom or dad, but the progress will be obvious. Learning mathematics is not about being smart, but about thinking deeply! Isn\’t that true in life? To answer the question at the beginning of the article: Whether you should send your child to a cram school during the summer depends on your individual circumstances.