Do interesting things, what you are willing to do, and you will be happy when you do it; Doing boring things, things you have to do but don't want to do, is very painful to do. But interesting or boring varies from time to time, such as drinking, playing chess, playing football and learning math. The fun of learning math is similar to playing chess. It is the joy of thinking and the joy of challenge. In fact, mathematics can give us more.
Like a sense of shock. With the deepening of understanding of mathematics. You will find that there are such wonderful laws in the world. Einstein once recalled that he was shocked when he learned in middle school geometry that "the three high lines of a triangle must intersect at one point". He felt that there must be more such "mysteries" undiscovered in this world, which played a decisive role in his life. Strengthened his determination to engage in scientific research.
It's like a sense of strength. There were many difficult problems that were almost impossible to solve in the past. After mastering a way of thinking, every step forward will solve thousands of problems. At this time, people will suddenly realize their own strength, and the growth of this strength is often obtained within a few hours or a day. People who have been troubled by four application problems will feel the power of mathematics once they learn to solve application problems with equations. When talking about calculus method, Leibniz said that many problems that were puzzled by knowledgeable people in the past can be easily solved by an ordinary person who has mastered this method. This is the power of mathematics.
Like liberation. At first, you will feel bound by many "rules and regulations", but with the deepening of study, these rules and regulations are broken one by one. At first, you can only subtract 3 from 5, and then you can subtract 5 from 3; At first, you can only add numbers, and later you can add letters and symbols ... The deeper you learn, the more free you feel.
There is also scientific beauty, including graphic beauty, regular beauty and harmonious beauty.
"How was the fire discovered?" Some people say it is the need for heating, some people say it is for land reclamation, and some people say it is because primitive people were attracted by the beating of flames and decided to continue the fire. Of course, this is just a beautiful story, but people who study mathematics are really obsessed with mathematics. A philosopher said that mathematics is to explore the beautiful laws behind seemingly simple things. A right triangle seems clear at a glance, but after exploration, it is found that there is a Pythagorean theorem hidden inside. Mathematicians can not only discover these interesting and useful mysteries, but also demonstrate them so that you can believe them without doubt. These treasures, which have been excavated by predecessors for thousands of years, can often be learned in one class and are easy to appreciate. Are you happy?
Good textbooks, good reading materials and good teachers should show students the beauty of mathematical thinking and guide them to experience the beauty of shock, strength, liberation and science. In this way, we can study math more happily.