After reading a famous book carefully, everyone must have a lot of experience in their hearts. Write a review and record your gains and contributions. Presumably, many people are worried about how to write a good feeling after reading. The following is my thoughts on mathematics culture for your reference, hoping to help friends in need.
Reflections on Mathematical Culture 1 Last semester, I read the book "Examining the Classroom: Zhang Qihua and Mathematical Culture in Primary Schools" by Zhang Qihua, a teacher at JD.COM Road Primary School, intermittently, and carefully read it again during the holidays. The author Zhang Qihua is a young teacher who has been recognized by many famous teachers and teachers. Teacher Zhang Qihua is committed to restoring the true colors of mathematics in practice, deducing its cultural charm and showing its interest and value.
Teacher Zhang Qihua's teaching gives people a feeling of surprise, a method of understanding, ideological enlightenment and spiritual edification. The design is natural and smooth, the links are handled delicately, the conception is ingenious and charming, and the teaching is in place, which is worth learning.
Teacher Zhang's motto "Don't repeat what others say, but repeat yourself more" makes him keep thinking and innovating. The leap from the outside to the inside in the preparation of "Understanding of Circle" shows me Mr. Zhang's exploration and practice in the new round of "Understanding of Circle". Despite the difficulties, Mr. Zhang firmly believes that the road will always come out again, as long as you are willing to open up. After thinking about the emergence of one problem after another, Mr. Zhang faced it calmly and solved it calmly, so that the lesson of "knowing circles" once again showed some different meanings. Looking at the records is like walking into Mr. Zhang's class, like tasting a good cup of tea. Only meditation and enlightenment are the most reasonable.
Teacher Zhang's Law of Exchange firmly believes that mathematics is getting deeper and deeper. Reading this case, its depth and subtlety are shocking. The pursuit of mathematical culture is a remarkable feature of this course, which is not only interpreted as a perceptual material, but also a rational speculation. "Guess-verify-guess-verify-guess" is like a rippling wave of thinking, and the certainty, flexibility and dialectics of thinking can print and dye each other. The depth of this qualitative debate is precisely the essential connotation and value orientation of teaching that we are striving for. The lesson of "Understanding Integers" made me understand how Teacher Zhang cracked the internal structure of mathematics knowledge.
The novel teaching design has been supported by teachers' deep understanding of the teaching content itself, and has gained richer connotations. The wonderful forty minutes come from day and night after class, from teachers' in-depth grasp of the content of teaching materials and mathematical knowledge structure, from deep thinking on mathematical laws and methods, and more importantly, from the investigation and understanding of students' existing knowledge.
Teacher Zhang Qihua brought us not only a lesson, teaching methods and ideas, but also a persistent pursuit of education and specialty, and felt the wonderful real course of a math teacher in the art kingdom. Teacher Zhang's educational philosophy pointed out the direction of teaching for me, and let me learn how to study our mathematics and how to make our mathematics more mathematical culture.
Reflection on Mathematical Culture 2 Before reading this book, many people may think that mathematics may only be studied and thought by those who are particularly interested in abstract thinking. Mathematics is far away from us. In our life and cultural concept, mathematics plays the most important role in serving our daily life. As for mathematics itself, it can not bring us any happiness and satisfaction.
If you finish reading this book, your above ideas will undoubtedly change fundamentally. From a historical perspective, the author of this book describes in detail how mathematics came into being, developed and matured under the background of the interaction of various cultures, ideas and human interests.
As far as the development of mathematics is concerned, it has been linked with the pursuit of beauty and the liberation of the soul since ancient Greece. In modern science, mathematics is not only linked with the development of science, but also has made many contributions to the development of western culture and the progress of civilization. In modern times, mathematics may play a closer role with us. When ordinary people try to avoid mathematics, our actions and choices in life are often influenced by mathematics, such as the role of probability statistics in elections and weather, the destruction of determinism by probability and the maintenance of human freedom.
The author of this book doesn't stop at the empty philosophical talk about the relationship between mathematics and western culture. On the contrary, he reproduces the specific details of the influence of western culture on the development of mathematics since its emergence and how mathematics in turn affects western culture. What is even more rare is that when it comes to many philosophical issues, he neither avoids or ignores the connection between philosophical issues and science like the general historians of science, on the other hand, he can grasp it as much as possible with clear language. Although there are still some deviations or simplifications in some places, it is really not easy for a mathematical historian.
Through the wonderful exposition of this book, we can also see that the development of mathematics can not rely solely on practical attitude. If mathematicians can't get pleasure from mathematical research, then, like ancient Rome, the mathematical tradition will quickly fail. But it is only in the right cultural soil that people can get fun and passion from mathematics.
For personal development, mathematics is not only a tool, but also a spiritual product and civilized achievement with intrinsic value. In the process of thinking by using mathematics, a person not only exercises his thinking method, but more importantly, many of his ideas will also change, and he will have a new understanding of ethical determinism and indeterminism, so as to have a greater and deeper understanding of human freedom. He will know what the so-called objective aesthetic standard is and realize the essence and uniqueness of harmonious and symmetrical beauty in mathematics. He will even re-recognize and understand the world according to the mathematicization of nature, thus admiring it loudly.
This book reveals the most fascinating side of the mathematical world, and I believe most people can appreciate the charm of mathematics to human nature and human life from this book.
Reflections on mathematical culture iii. When I first studied the history of mathematics in college, I became interested in the history of mathematics and fell in love with the subject of mathematics. After work, I became a math teacher. I often wonder how interesting it would be to integrate mathematics culture into the classroom. So, I carefully studied the book "Mathematical Culture" and gained a lot.
As we all know, mathematics is an important part of human civilization. At first, babbling created a colorful counting system, and then more and more detailed mathematical branches were established in the rainy season. Today, it has demonstrated its dazzling mathematical achievements in In the Mood for Love. Like other cultures, mathematical science is the crystallization of thousands of years of human wisdom.
After reading Mathematical Culture, I was deeply moved. What kind of feeling is that? It is the heart of an ambitious man with religious devotion to mathematics, and it is also the yearning of a pursuer with endless desire to explore history. Every generation adds a floor to the ancient building of mathematics. It is necessary for us to know the history of this building when adding bricks and tiles to it. Through this book, I have a more comprehensive understanding of the development of mathematics. The book introduces some important events, important figures and important achievements in the development of mathematics through vivid and concrete examples, which gives me a preliminary understanding of the historical process of the emergence and development of mathematics, the role of mathematics in the development of human civilization, and the rigorous academic attitude and persistent exploration spirit of mathematicians.
Mathematics is the process of human creative activities, not just the result of formalization; Looking at mathematics science and mathematics education from the viewpoint of dialectical materialism, in the process of their formation and development, it not only shows the characteristics of contradictory movement, but also has close ties with society, politics, economy and general human culture. Mathematics has a long history. I learned that in the early days of human society, mathematics, language, art and religion together constituted the earliest civilization of mankind. Mathematics is the most abstract science, but the most abstract mathematics can breed the gorgeous flowers of human civilization. This makes mathematics the most basic subject in human culture. Engels pointed out: "The degree of application of mathematics in a science marks the maturity of this science." In modern society, mathematics is providing indispensable theoretical and technical support for the development of science and society.
The history of mathematics is not only a chronological record of mathematical achievements. The development of mathematics is by no means smooth sailing. In the case of following reading, it is full of hesitation, wandering, experiencing difficulties and twists and turns, and even facing difficulties and crises. The discovery of irrational numbers, the creation of calculus and non-Euclidean geometry ... These examples can help people understand the real process of mathematical creation, and they are packaged in the form of theorem to theorem in textbooks. Understanding this creative process can make people learn from exploration and struggle, gain inspiration and enhance confidence.
In the long river of mathematics, the huge waves caused by three mathematical crises truly reflect the majestic momentum like the long river of mathematics. In the first mathematical crisis, irrational numbers became a member of the big family of mathematics, and reasoning and proof overcame intuition and experience, and a vast world appeared before us. But hippasus, who first discovered the root number 2, was thrown into the sea. In the second mathematical crisis, mathematical analysis was established on the strict basis of real number theory and really became the mainstream of mathematical development. But Newton looked pale and powerless under the attack of British Archbishop Becquerel. In the third mathematical crisis, "Russell Paradox" challenged the certainty of mathematics for the first time, completely shaken the foundation of mathematics and gave it a broader development space. However, Godel's incompleteness theorem completely shattered Hilbert's ambition to establish and perfect the mathematical formal system and solve the mathematical foundation. Genius is often ahead of its time, which is really hard for ordinary people to understand. But time will tell!
Mathematics is a historical or cumulative science. Important mathematical theories are always based on inheriting and developing the original theories. They will not overthrow the original theory until they are close, and they always contain the original theory. For example, the theoretical evolution of numbers shows obvious accumulation; In geometry, non-Euclidean geometry can be regarded as an extension of Euclidean geometry; Abstract algebra dating back to elementary algebra did not eliminate the former; Similarly, the generalization of functions, derivatives, integrals and other concepts in modern analysis includes the definition of Le Classic as a special case. It can be said that in the long evolution of mathematics, almost no previous building was completely overthrown. China's traditional mathematics has a long history and has its own unique ideological system and development approach. It is continuous, with a long development time and brilliant achievements, showing a distinct color of "oriental mathematics" and having a far-reaching impact on the historical process of world mathematics development. From ancient times to the Song and Yuan Dynasties, China has long been the mainstream of world mathematics development. After the Ming Dynasty, due to various political and social reasons, China's traditional mathematics was on the verge of extinction and was completely monopolized by the western Euclidean tradition. The development of mathematics in China for thousands of years has left us a lot of valuable historical materials.
Mathematics is a new problem from a cultural point of view. But I believe that once you step into the threshold of mathematical culture, you will be surprised to find that this is a beautiful and strange world. However, some of the things mentioned in the article are just skins watching the fire from the other side. It is believed that with the in-depth study of mathematical culture, a more wonderful world will be presented to mankind. In a word, mathematical culture is a wonderful culture, and it is an unknown culture for us teenagers. If we understand it, we will gradually realize it and have a general taste in it.