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A Morning Ode to Mathematics —— The Beauty of Mathematics in Ancient Poetry
? Yichuan county experimental primary school? Wang Xiaoqin

Building a scholarly campus In the top ten actions of new education, morning reading is an essential activity. The morning eulogy activities of Chinese subject in experimental primary schools are carried out solidly and effectively, and the content of each morning eulogy has a special topic and various forms. Most of the contents are mainly seasonal ancient poems. Through this morning's recitation, students can appreciate the feelings, beauty and music conveyed by poetry. In fact, in ancient poetry, many handed down works are closely related to mathematics. Can students appreciate the beauty of mathematics by singing ancient poems in the morning? After searching the information, I found many ancient poems about mathematics, which are shared as follows:

1. Numbers in poetry

? First-grade children who are new to numbers want to know numbers? There is nothing more appropriate than Shao Yong's poem "Poetry in a Mountain Village", which contains 20 words, 10 numbers to describe the scenery along the way, and numbers to reflect the distance, villages, pavilions and flowers. Very popular and natural.

? Mountain Village (Northern Song Dynasty) Shao Yong

Once you walk two or three miles, there are four or five smoke villages.

The pavilions are six or seven, and the flowers bloom in eighty or ninety.

? Lin Hejing in the Ming Dynasty used these numbers 10 more skillfully. He wrote a poem about Xue Mei. The whole poem uses quantifiers to indicate the number of snowflakes. These simple figures not only paint a beautiful snow scene for Merlin, but also expand the figures from poverty to infinity.

Xue Mei (Ming) Lin Hejing

One, two, three or four, five, six, seven or eight.

Nine dollars, ten dollars, countless dollars, all missing when flying into Mei.

? "Always in My Heart" written by Huang Huanzhong in Qing Dynasty has gone further, and the figures have expanded by an order of magnitude and become more complicated. The application of these numbers in poetry greatly enhances the aesthetic taste of poetry.

A hundred-foot-high tower and countless streams, Shu Yun sent it to western Liaoning in August and September.

Suddenly I heard the geese flying in pairs in February. I hate chickens crowing in the middle of the night.

May and June are empty, but 7 thousand is not even close to hate.

Half my life is a lonely shadow, and ten years of sorrow is accompanied by cuckoo crying.

? There is also Luo's poem "30 thousand days in a hundred years, thousands of years later", which contains a simple calculation of the quantitative relationship.

2. The form of poetry

Du Fu's quatrains vividly depict points, lines, surfaces and bodies in mathematics. From a mathematical point of view, the first sentence "two orioles" describes two points; The second sentence "a line of egrets" describes a line; The third sentence, "The window contains a thousand autumn snows in Xiling", describes a face; The fourth sentence "Wan Li sailed from Soochow" describes a spatial body. The remoteness of time and space shown here, figures deepen the artistic conception of time and space, similar to the infinite extension of plane, and the beauty of mathematics is highlighted. It is precisely because this poem summarizes the four basic elements of geometry that a complete picture is constructed and a wonderful artistic conception is created beyond words. Can you say that these mathematical symbols and figures are not beautiful?

"Jueju" (Tang) Du Fu

"Two orioles sing green willows, and egrets cover the sky."

My window framed the snow-covered western hills. My door often says "goodbye" to ships sailing eastward.

3. Problems in Poetry

? China's ancient poetry couplets are an important part of Chinese civilization and a treasure of literature. In the garden of literature, some poems and couplets are sometimes married to mathematics: some couplets and a poem are a math problem. In ancient times, every festival, there were lanterns or other activities in busy towns, and crossword puzzles were all about embedding problems in one or two ancient poems. How interesting this combination of words and math problems is now.

In the Yuan Dynasty, there was a poem in the famous mathematician Zhu Shijie's masterpiece "Meeting in Philip Burkart":

I have a pot of wine, and I want to take Youchun with me.

Meet a store, double it, and each friend drinks a bucket.

The shop friend passed through three places and lost the wine in the pot.

May I ask how much wine is in this pot?

Can you solve this problem? We set it as an unknown quantity and solve the equation with known conditions, and the answer comes out.

Look, how interesting.

Poetry is a literary art that expounds the soul. Ancient poetry fully shows its beauty in image, language and artistic conception, giving people infinite reverie. There are many ancient poems containing mathematical knowledge, mathematical thoughts and mathematical thinking. If you collect it, it's a good research direction to do a special topic on morning ode to mathematics!