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The Young Eagle Spreads Its Wings Chapter 88 Mathematics Changes Life

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    Chapter 88 Mathematics changes life

    When the teacher smiled but said nothing, when the student lowered his head and did not answer, both of them assumed a posture of silence. Principal Hu, who was doing the introduction, was so anxious that he said to break the deadlock: "Shuangxi, the kid just told me  As I said, there was an unexpected situation at home, otherwise it wouldn¡¯t have delayed these two days. Don¡¯t worry, he is definitely a good prospect and will definitely learn from you.¡±

    Although Liu Shuangxi could not be said to be disgusted with the Mathematical Olympiad, he did not want to delve too much into it, but it was hard for him to refuse Principal Hu's kind offer, so he had to say: "Hello, Teacher Song, because there are some personal matters, I can't cover everything."  I will focus my time on the Mathematical Olympiad, but I promise that I will devote all my energy to learning from you."

    Song Bolin said with satisfaction: "As long as you can study seriously during the study time, it will be fine. Besides, I am not that kind of old scholar, so I won't stop you from doing personal things. Principal Hu said that you have a good foundation and have mastered the knowledge of elementary school mathematics."  It¡¯s almost mastered, right?¡±

    Liu Shuangxi replied with a very "humble" attitude: "That's right, Teacher Song, I have also been exposed to the knowledge points of junior high school and high school. My father took me to learn some when he was admitted to college."

    In fact, he had thrown away most of the things in the books. Fortunately, he accompanied Liu Guoqing to prepare for the exam in the past few years and picked them up one after another. After practicing the secrets given by his father-in-law, his memory was obviously much better than before.  , without these foundations, he would not dare to skip classes and read books all day long.

    Speaking of Deputy County Magistrate Liu, the well-informed Principal Hu showed off to his old friend: "Shuangxi's father is the most highly educated leading cadre in the county. His level is very extraordinary. He was the one responsible for our export of rice to the United States.  I heard that they are still working on greenhouse vegetables recently.¡±

    Before Song Bolin came to Sangang County, he had heard that there was a deputy county magistrate who graduated from Beijing University and brought great changes to the local area in a short period of time. He nodded and said: "So your father is Deputy County Magistrate Liu. No wonder  I have learned so many things at such a young age. Now that I have mastered the knowledge points, the focus of teaching in the future will be on methods and techniques. Before that, I will tell you what mathematics is."

    What is mathematics?  Many people, including Liu Shuangxi, are very vague about this concept. After all, the impression of this subject on ordinary people is that it is boring, abstract, and difficult to understand. They can only spend their energy on in-depth research on mathematics, possess certain knowledge of modern mathematics, and understand a little bit.  Only by studying the history of mathematics can you have a correct understanding of mathematics.

    "Mathematics, as a form of expression of human thinking, reflects people's aggressive will, meticulous logical reasoning and pursuit of perfection. Its basic elements are: logic and intuition, analysis and reasoning, commonality and individuality. Although different  Traditional schools may emphasize different aspects, but it is the interaction of these opposing forces, and their combined efforts, that constitutes the vitality, availability and high value of mathematical science."

    "The development of mathematics is divided into three stages. The first stage is before the Western Renaissance and the Industrial Revolution in the 16th century, which is called classical mathematics. The knowledge we learned before high school is within this scope.

    The second stage is after the Renaissance. With the advent of mechanized society, calculus, the basis of modern mathematical research, appeared.  Anyone who has studied advanced mathematics knows that in the social environment before industrial society, the feudal economy was relatively closed, and there was no social demand, so it was difficult to have an environment in which calculus ideas could arise.

    The third stage, the rise of modern mathematics, originated from the research on electromagnetism, thermodynamics, information technology, the development of industry, the outbreak of world war and many other factors at the end of the 19th century.  At the same time, the center of mathematical research slowly shifted from Europe to the United States, and the United States gradually became a world power.  Without the complementarity of other disciplines, studying mathematics in isolation can only lead astray or be worthless.  "

    Liu Shuangxi was greatly interested in the vivid narration. Unexpectedly, Song Bolin, who had brought many students to participate in the IMO competition, gave him the first lesson on the meaning and development history of mathematics. Then he also put forward his own ideas.

    "According to Teacher Song, the development of mathematics develops with the progress of social economy. It is difficult for a pure mathematician without the supplement and assistance of other social knowledge and related disciplines to develop mathematics and produce qualitative results.  A leap forward. But the Mathematical Olympiad we are studying now is to solve problems raised under the inherent knowledge framework. Is this a setback to the innovative spirit of asking and solving problems?"

    Regarding Liu Shuangxi's disgust, Song Bolin explained: "In the Mathematical Olympiad we study, there are many problems involving practical applications, such as counting, graph theory, logic, drawer principles, etc. Solving such problems generally requires practical knowledge.  Analyze and summarize the mathematical meaning of the problem, abstract the actual problem into a mathematical problem, and then use the corresponding mathematical knowledge and methods to solve it.

    In this process of constructing a mathematical model, we can?Effectively cultivate students' ability to view and deal with practical problems from a mathematical perspective, improve students' awareness and ability to use mathematical language and models to solve practical problems, improve students' ability to reveal mathematical concepts and their relationships implicit in practical problems, etc.

    As a teacher, I will guide students so that they can see the practical role of mathematics in this creative thinking process, feel the charm of mathematics, and enhance students' sensitivity to the beauty of mathematics.  With the vigorous development of the domestic Mathematical Olympiad activities, it has greatly stimulated the interest of children in learning mathematics and has become a beneficial activity to guide young people to be positive, proactively explore and grow up healthily.  "

    Song Bolin explains so patiently because the mathematical knowledge he teaches all comes from life practice. It is a reflection of the problems encountered by predecessors in life, the problems raised in the development of other disciplines, and the solutions given.  Summary of abstractions and generalizations.  Years of teaching experience told him that students like this who are willing to think and ponder will definitely change their lives through mathematics.

    Through his explanation, Liu Shuangxi also understood that he should regard Mathematical Olympiad as a tool for learning mathematics. Through in-depth study of mathematics in the future, it will have huge application value in science, engineering, medicine and economics.  So he quickly got into a state of learning. After nearly a month of focused teaching, he achieved good results in the county and city-level and provincial-level Olympiads.

    When Song Bolin planned to take this proud disciple to try more advanced competitions, he found that Liu Shuangxi had already run back to the capital.

    (The writing of this chapter is somewhat tangled, and it has been revised many times. Laojiu went to take a bath first and came back to continue typing. There will be two updates later. Please save it. Please click "Join" on the page.  Bookshelf Bookmark".)

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