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Sometimes the magic of mathematics cannot be explained by the teacher, so students should be allowed to do it by themselves, feel it by themselves, and experience it by themselves. "Möbius Strip" is an exploration activity in the mathematics textbook, which briefly explains the operation process, because the bridge search is not the key content, so I did not take the students to study it, but simply said "interested students can try to operate it after class". As you can imagine, the final result is no end (some students who made it excitedly showed it to me, but I didn't guide it in time).

Through Mr. Hua, I saw the "Möbius Belt" again, and this time I went there specifically. Now there are so many resources, as long as you want to learn, it's really convenient. In 1858, the German mathematician Morbius discovered:

The paper tape loop made by twisting a strip of paper 180° and then bonding the two ends has the property of magic. Ordinary paper tape has two sides (i.e., a two-sided curved surface), one front and one back, and both sides can be painted in different colors; Such a paper tape is accompanied by only one side (i.e., a one-sided surface), and a small insect can crawl over the entire surface without having to step over its edge. This paper tape is called a "Möbius strip" (that is, its surface is reduced from two to one).

Take a long white strip of paper, paint one side black, and twist one end 180° to become a Möbius strip. Use scissors to cut it along the ** of the paper tape. Instead of splitting the paper tape in two, it cut out a paper loop twice as long.

The newly obtained longer circle of paper is itself a two-sided surface, and its two borders are not knotted themselves, but they are nested together. Cut the above paper circles along the middle line again, this time it is really divided into two, and the result is two paper circles that are set on each other, and the original two boundaries are contained in the two paper circles, but each paper circle itself is not knotted.

Instead, take a long white strip of paper, paint one side black, turn one end 360 degrees, and glue it into a two-sided curved surface. Use scissors to cut it along the ** of the paper tape. Instead of splitting the tape in two, the paper tape cut out the two-sided curved surface of the two rings.

In this lesson, Mr. Hua introduced magic tricks and led students to explore the mysteries step by step. In each link, Mr. Hua also created an activity situation for students to twist, draw, and cut, so that students can use their own imagination and hands-on operations, learn to make a magical Möbius strip of rectangular paper, and then experience its unexpected change process, in its "magic change", let students feel the fun of mathematics, feel the infinite charm of mathematics, and broaden the horizons of several generations of learning. Let the children feel that mathematics is not only fun, but also easy to use, and stimulate children's interest in learning mathematics well.

Boring math terms such as "one-sided surface", "double-sided surface", and "Mobius" also let students understand what they mean in play.

An interesting math lesson ended like this, and it was very memorable, and I wanted to take the next math lesson after taking this math class. Mr. Hua prepares every math lesson with his heart, and his class is full of wisdom.

This is a math story of his grandfather and youngest grandson Philo, who was a math teacher for 40 years, and a math book that should not be missed. Looking at the cover, I feel that this book should be a book that resembles a comic.

However, when I opened it, I was very surprised, it was in the form of first-person language, as if it was talking to you head-on, allowing you to follow in his footsteps and explore the world of mathematics. The illustrations inside are also very vivid, plus the concise and easy-to-understand language in the bright draft, and the questions and answers are orderly. The form inside is not like our ordinary mathematics teaching method, but a book that can make children feel infinitely happy.

A lot of rhetorical questions are used to make us have questions, and we are interested in the content, with a doubtful heart, with our own questions, slowly revealed, and explore the mysteries. Moreover, it is as if the words inside can dance, lively and creative. Fresh questions arise spontaneously, as if the author can hear what you are thinking and give you detailed answers step by step.

This book is also more practical, movies, filial piety area, statistics. All of them are connected to our lives, what we know, what we don't know, all tell us, and with the introduction of **, it is easier to understand, clearer, more interesting, and more visible. It also teaches us some hidden math skills, so that we have a quick path to the problems that frequently arise in our lives.

Mathematics is the "thrill of the human spirit" that fascinates human beings, and it is also "so fun that people can't sleep" that they can't sleep.

How to Write Math Reading Notes:

First, a little bit of what you read in a very short text.

Second, introduce what you're interested in.

Finally, let's talk about what you've learned.

Fan Wen: The story of Zu Chongzhi.

Zu Chongzhi (429-500 AD) was a native of Laiyuan County, Hebei Province during the Northern and Southern Dynasties of China He read many books on astronomy and mathematics since he was a child, and he was diligent and studious, and practiced hard, which finally made him an outstanding mathematician and astronomer in ancient China

Zu Chongzhi's outstanding achievement in mathematics is about the calculation of pi Before the Qin and Han dynasties, people to"Trail three times a week"As pi, this is"Ancient rate"Later, it was found that the error of the paleorate was too large, and the pi should be"The circle diameter is more than three days", but how much is left, opinions differ Until the Three Kingdoms period, Liu Hui proposed a scientific method for calculating pi"Circumcision", use the circumference of the circle inscribed regular polygon to approximate the circumference of the circle Liu Hui calculates that the circle is inscribed with 96 polygons, and obtains =, and points out that the more sides of the inscribed regular polygon, the more accurate the value obtained Zu Chongzhi on the basis of the achievements of his predecessors, after hard work, repeated calculations, found In between and and obtained the approximate value in the form of fractions, taken as the approximate rate , taken as the dense rate, where the six decimal places are taken, it is the fraction of the closest value of the numerator denominator within 1000 What method did Zu Chongzhi use to get this result, Now there is no way to examine if it is assumed that he will press Liu Hui's"Circumcision"If you want to find this method, you have to calculate that the circle is connected with 16,384 polygons, which requires a lot of time and labor! It can be seen that his tenacious perseverance and intelligence in his scholarship are admirable Zu Chongzhi's calculation of the dense rate, it has been more than a thousand years since foreign mathematicians achieved the same result In order to commemorate Zu Chongzhi's outstanding contributions, some foreign historians of mathematics have suggested that = be called"Ancestral rate"．

Zu Chongzhi read the famous classics at that time, insisted on seeking truth from facts, he compared and analyzed a large number of materials from his own measurement and calculation, found the serious errors of the past calendar, and had the courage to improve, and at the age of 33, he successfully compiled the "Ming Calendar", opening up a new era in the history of the calendar

Zu Chongzhi also worked with his son Zu Xuan (also a famous mathematician in China) to solve the calculation of the volume of the sphere with ingenious methods One of the principles they adopted at that time was:"If the power potential is the same, the product cannot be different"That is, two three-dimensional dimensions located between two parallel planes are truncated by any plane parallel to these two planes, and if the areas of the two cross-sections are constantly equal, then the volume of the two three-dimensional dimensions is equal This principle is called Cavaleri's principle in Spanish, but it was discovered by Cavaleri more than a thousand years after Zu In order to commemorate the great contribution of Zu's father and son in discovering this principle, everyone also calls this principle"The principle of ancestry"．