圆周率Pi

　　περιφρεια

　　Since its inception,the concept of pi has been intertwined with our human history for nearly 4000 years.The symbolπ,which ranks 16th in the Greek alphabet,is derived from the initial letter of the Greek wordπεριφρεια(meaning"perimeter"or"circumference").Though it had been present in the four ancient civilizations,it was only in the last 300 years thatπwas redefined as a universal constant.

　　圆周率自诞生伊始，便与人类“纠缠”了近4000年。而π，在希腊字母中排行第16位，是希腊语περιφρεια（边界、圆周之意）的首字母。尽管早就出现在四大古文明里，但是，π真正作为一个通用常数被重新定义，也不过是近300年的事情。

　　People have designated the date represented by the first three digits ofπas a worldwide celebration,which is March 14th,Pi Day.March 14th is also known as Einstein's birthday,and Albert Einstein,a renowned physicist,is widely recognized for his contributions to modern physics and the theory of relativity.Therefore,March 14th has also become a day to celebrate scientists and mathematicians.Thousands of years ago,humans began calculating the value of pi.The ancient Greek mathematician,Archimedes,was the first to calculate pi to be 3.14 using the method of inscribed and circumscribed polygons,while the Chinese mathematician,Liu Hui,continued using a similar method to calculate it to be 3.1416.Zu Chongzhi then improved the accuracy to 3.1415926.There are many methods for calculating pi,and the French naturalist,Buffon,discovered a particularly extraordinary approach:he would randomly throw needles onto a table and calculate pi based on the distribution of the needles,a method known as Buffon's needle experiment.

　　人们将由π的前三位数字表示的日期定为全世界的庆祝日，也就是3月14日，π节（Pi Day）。3月14日也是爱因斯坦的生日，阿尔伯特·爱因斯坦是一位著名的物理学家，他对现代物理学和相对论理论的贡献被世人广泛认可。因此，3月14日也成为了一个庆祝科学家和数学家的日子。几千年前，人类就开始计算圆周率了。古希腊的阿基米德最早使用割圆法把圆周率计算到了3.14，中国的刘徽继续使用这种方法计算到了3.1416，而祖冲之则把精度提高到了3.1415926.圆周率有许多种计算方法，法国博物学家蒲丰的做法最为神奇：把一些针随机的扔到桌子上，根据针的分布情况就能计算圆周率了，这叫做蒲丰投针实验。

　　Math Day

　　People's research and application ofπare extensive,spanning beyond various fields like geometry,probability,time,and engineering to areas such as music,visual arts,as well as philosophy.

　　The theme of this 5th Math Day of our I-EP is"Math is Everywhere,"aiming to integrate math with contents from various disciplines to promote the interdisciplinary learning and understanding.This integration helps students connect their knowledge and develop a more comprehensive cognition.Therefore,students can establish connections between math and multiple subjects,fostering the comprehensive abilities,critical thinking,problem-solving skills,and experiencing the infinite charm of mathematics.

　　人们对于π的研究和应用则非常广泛，除了几何、概率、时间、工程等领域，还扩展到了音乐、视觉艺术和哲学层面。

　　这一次，I-EP第五届数学日的主题便是“数学无处不在”。首先，特别鸣谢I-EP数学组的辛勤付出！我们将数学与不同学科领域的内容整合在一起，以促进学生跨学科的学习和理解，帮助他们将所学知识联系起来，形成更全面的认知。学生可以将数学在多个学科之间建立联系，培养他们的综合能力、批判性思维和解决问题的能力，感受数学的无限魅力。

　　语文中的数学Math in Chinese

　　Both in the ancient and modern times,no matter in the domestic and international realm,there are rich mathematical patterns hidden behind the written languages.In ancient poetry,the rhythm and cadence of music are closely related to mathematical calculations.In modern rhetoric,exploring the relations between the sentence structures and word frequency through statistical analysis opens up another perspective on the world of language for us.

　　Numbers in ancient poems are often used to express time,quantity,or historical periods.In general,numbers are richly and diversely used in ancient poetry,enhancing the artistic beauty and profound imagery of poems through their skillful application.

　　Numeric idioms refer to idioms that are themed around the numbers or use the numbers for embellishment.They are often used to describe characteristics of things or convey the specific meanings,carrying lots of vivid imageries and rich cultural connotations.

　　古今中外，文字背后隐藏着丰富的数学规律。在古代诗词中，音律的韵律和节奏，都离不开数学的运算。而在现代修辞学中，通过统计分析来探索句子结构和字词频率之间的关系，数学为我们打开了语文世界的另一个角度。

　　古诗词中的数字在表达时间、数量、年代等方面经常被应用。例如，杜甫的《春夜宴从弟大柳塘》：“绿杨烟外晓寒轻，红杏枝头春意闹。离骚千载谁能解？烟波江上使人愁。”这里的“千载”表示很长的时间，用来形容《离骚》的传世历史。另外，数字还可以用来表达数量，如白居易的《赋得古原草送别》：“离离原上草，一岁一枯荣。”这里的“一岁一枯荣”表示一年一度的变化。古诗词中的数字应用非常丰富多样，通过数字的巧妙运用，增加了诗词的艺术美感和意境深远。

　　数字成语是指以数字为主题或数字为修饰的成语，常常用来形容事物特征或者表达某种含义，既有形象生动的意义，也有丰富的文化内涵。

　　♫

　　音乐中的数学Math in Music

　　The intervals between the musical notes,the rhythmic patterns,all contain the mathematical harmony.The choice of scales as well as chord progressions in the music composition,and the notation of beats and tempo in sheet music,all rely on mathematical principles.The combination of mathematics and music allows us to appreciate the harmonious beauty behind the numbers.This integration showcase the importance of math in artistic creation and deepens our understanding of its widespread application and wonders in everyday life.

　　音乐中的音程、节奏等元素都包含着数学的规律和韵律。音乐创作中涉及的调式、和弦进行以及曲谱中的节拍和速度，都依赖于数学原理。数学与音乐的结合让我们领略到数字背后的和谐之美。这种交融展现了数学在艺术创作中的重要性，同时也让我们更加深刻地感受到了数学在日常生活中的广泛应用和美妙之处。

　　视觉艺术中的数学Math in Art

　　数学画廊Math Painting Galary

　　Proportions in composition,color combinations,and every aspect of visual art are influenced by mathematical principles.Concepts such as the golden ratio,perspective,and symmetry provide inspiration and guidance for artists in their creative process.Mathematics helps us create more refined and perfect artworks.Incorporating mathematical elements into paintings not only shows the beauty and wonders of mathematics but also stimulates our creativity and artistic sensibility.

　　画面的比例、色彩的搭配，无一不受数学原理的影响。黄金分割、透视法和对称性等数学概念，为艺术家们提供了创作的灵感和指导。数学让美术作品更加精致、完美。将数学元素用于绘画中不仅可以展现数学的美感和奇妙之处，还可以激发创造力和艺术感觉。

　　体育中的数学Math in PE

　　Athletes'speed,strength,and the analysis of competition data all rely on mathematics.In sports such as football and basketball,statistical analysis and probability theory are used to analyze team and player performance,as well as to predict game outcomes.Mathematics adds scientific rigor to the sports,allowing us to experience the hidden numerical mysteries within athletic performance.The mathematical aspects of sports not only can enhance our skills and performance but also cultivate our mathematical thinking and logical reasoning.By integrating sports and mathematics,learning and training can become more engaging and challenging.

　　运动员的速度、力量，比赛数据的分析，都离不开数学。在足球、篮球等体育比赛中，运用统计学和概率论来分析队伍和选手的表现，以及预测比赛结果。数学让体育更具科学性，让我们感受到运动中隐藏的数字之谜。体育中的数学游戏不仅可以提高技能和表现，还可以培养数学思维和逻辑能力。通过结合体育和数学，可以使学习和训练更加有趣和富有挑战性。

　　生活中的数学Math in Life

　　From grocery shopping to arranging home decor,mathematics is present in every aspect of our lives.When shopping,we compare prices and calculate discounts.In home decoration,we use mathematical calculations for space proportions and color coordination to create a comfortable living environment.When making plans,we need coordinate and plan,designing the optimal solution.Math allows us to handle daily affairs more conveniently and enjoy the mathematical pleasures in our lives.

　　从买菜算账到布置家居，生活处处都有数学的身影。在购物时，比较价格和计算折扣；在家居装饰中，通过计算空间比例和颜色搭配，打造舒适的居住环境；在制定计划时，统筹规划，设计最优方案。数学让我们更方便地处理日常事务，让我们享受生活中的数学乐趣。

　　????

　　AI中的数学Math in AI

　　The algorithms,models,and everything behind AI are guided by mathematical theories.Math is the cornerstone of artificial intelligence development.Through the mathematical models and statistical analysis,AI can learn and understand human language,images,music,and more.Math enables limitless possibilities for future technology.

　　人工智能背后的算法、模型，无一不受数学理论的指导。数学是AI发展的基石，通过数学模型和统计分析，AI可以学习和理解人类的语言、图像、音乐等。数学让未来科技具有无限可能。

　　物理中的数学Math in Physics

　　Mathematics plays a crucial role in physics,from the laws of motion to the structure of the universe.Through mathematical tools such as calculus,linear algebra,and probability theory,we can uncover the laws of nature and describe the workings of the universe with precise mathematical language.Mathematics allows us to gain a deeper understanding of the natural order.

　　从运动规律到宇宙结构，物理学中处处可见数学的身影。通过微积分、线性代数和概率论等数学工具，我们可以揭示自然界的规律，并用数学语言精确地描述宇宙的运行方式。数学让我们更深入地理解自然规律。

　　化学中的数学Math in Chemistry

　　Chemical equations and calculations of substance quantities rely heavily on the mathematical operations.By the application of mathematical concepts such as stoichiometry and mathematical models of reaction rates,we are able to predict the outcomes of chemical reactions and control experimental conditions.Math enhances the precision and reliability of chemical experiments,making them more accurate and dependable.

　　化学方程式、物质量的计算，离不开数学运算。通过化学计量关系和反应速率的数学模型，我们可以预测化学反应的结果和控制实验条件。数学让化学实验更加精确、可靠。

　　????

　　趣味数学Fun Math

　　Acing the mazes,playing different math games,tackling with the Seven Bridges of Königsberg problem,transforming an A4 paper into a larger circle...all these activities make mathematics fun and engaging!Mathematics is not just a serious subject;it can also be an enjoyable challenge.Through math games and puzzles,we can develop logical thinking,spatial imagination,and problem-solving skills in an entertaining way.

　　解迷宫、玩数学游戏、解一笔画（戈尼斯堡七桥问题）、A4纸变大圆……，这让数学变得有趣起来！数学不仅是严肃的学科，更是一种充满乐趣的挑战。通过数学游戏和智力题，在数学游戏中培养逻辑思维、空间想象力和问题解决能力。

　　As the famous Chinese mathematician,Hua Luogeng,once said:"From the vast universe,to the tiniest particles,the speed of rockets,the intricacy of chemical engineering,the changes of Earth,the mysteries of biology,and the everyday complexities,mathematics is everywhere."In this Math Day event,students deeply experienced the integration of mathematics with activities and games from different disciplines,strengthening their understanding of the connections between math and other subjects.This has sparked students'interest in integrated exploratory learning,adding fun to the Math Day event,and enriching students'learning experiences and knowledge horizons.

　　Thank you very much to the parent volunteers in the I-EP learning community.In each Math Day event,our parent volunteers provided strong supports.We appreciate the efforts of the parent volunteers in this event and their significant contribution to the development and progress of students,schools,and the learning community.

　　正如中国著名数学家华罗庚所说：“宇宙之大、粒子之微、火箭之速、化工之巧、地球之变、生物之谜、日用之繁，无处不用数学。”在本届的数学日活动中，学生们通过体验数学与不同学科融合的活动和游戏，更加深刻地感受到数学与其他学科的联系，激发同学们对融合探究学习的兴趣，增加数学日活动的趣味性，也丰富了学生的学习体验和知识视野。

　　非常感谢I-EP学习者社区中的家长志愿者们，在每一届数学日活动中家长志愿者们都给予了大力的支持！感谢本届数学日家长志愿者们为学生、学校和社区的发展和进步提供的有力支持和帮助！

如果您想要提前了解关于国际化学校的全面信息，家长们可以扫码关注“帮你择校”公众号了解国际学校新资讯!

*综合内容来源学校，如有不妥，请告知.