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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.
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bai: I would like to introduce you to a book called "Li Yu Pei Shu Zhi."
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A different math story after reading (1).
During this winter break, I read a book called "A Different Math Story". This is an interesting book, and the author of this book is Dream Xiaode.
This book is mainly about math and is very fun, and the characters in the book are the weird teacher and a group of his students.
The story in the book tells that Mr. Weird is a particularly interesting math teacher, and his math lessons are always fun. He always claimed to be an alien from an alien planet, and he always conjured up some magic during his math class, such as taking his students on trips so that they could discover math and learn math. He also gave the students a taste of what it was like to be a teacher, and he also asked the students to try some magic.
At the same time, students learn math very quickly and very well.
I finished reading this book and I felt that math is very fun. I especially like the weird teacher in the book, because I think his math lessons are very interesting, so after I read "Different Math Stories" I found that learning is happy and simple, as long as you find the right way. Finally, I recommend that students read this book.
I love math!
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