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成為一名數學家需要哪些特質？“數學界的諾貝爾獎”菲爾茲獎首位華人得主丘成桐曾說過這樣一段發人深省的話：“很多中國的小孩看不到數學最精華的地方，認為只要將題目做對、將考試考好，就很高興。但數學的真諦不是做題、特別不是做別人出的題，而要自己發掘好的研究方向、好的問題，走出一條自己的路。”由此可見，助力中國從數學大國成為數學強國，數學基礎教育更應注重培養學生的數學興趣和思維。這與杭州惠立學校開設“數學周”的初衷不謀而合。
【資料圖】
自建校以來，杭州惠立學校數學教研組定期啟動 “數學周”，帶領學生感受“萬物皆數學”的奇妙、“尋找身邊的數學”、驚嘆于“大美數學”，今年更是“玩轉數學”，在創意迸發的游戲和激烈的比賽中激發學生對數學的興趣、深化對概念的認知，將抽象與現實相結合，培養學生的數學思維，引導學生成為有能力迎接日新月異的世界的優秀學子。
在錢江教育指導中心2022年優秀教研組（組長）評選中，杭州惠立學校小學數學教研組、初中數學教研組均被評為優秀學科教研組。今天，請隨我們一起回顧上周數學周的精彩，看看惠立優秀數學教研組的教師們是如何帶領學生“玩轉數學”的吧。
小學部：踏上“奇妙的數學之旅”
裘燕蘭
小學高年級數學教研組長
數學速算接力賽
學生以學院為單位，分享速算與巧算的經驗，激發著同學們的求知欲和求勝心。在合作與競爭中，我們迎來周五集會的學院比賽。各學院代表隊派出征戰代表，在激烈的角逐中你追我趕，比賽分數跌宕起伏，現場氣氛熱烈無比。最終，思院、德院和賢院分別包攬速算比賽的前三名。祝賀獲獎同學和學院！
考考你：
你有什么迅速求解102+100+99+101+98的好方法嗎？
（答案在本文最后）
數學游園會
三年級學生走進奇妙的幾何世界。他們把謝爾賓斯基三角形中的無窮玄機與無盡美感創作成為一件精美的藝術作品，令參觀者嘆為觀止。
四年級同學則利用分數的知識，制作出創意無限的“分數披薩”，并創設對應的應用題目，再加以解答，將數學與生活巧妙地聯系了起來。
五、六年級學生化身為“小小數學家”，通過“策略游戲”、“永遠吃不完的巧克力”、“蒲豐投針實驗”等豐富有趣的游戲，向三、四年級的學生展示數學的趣味和實際應用，一邊幫助激發低年級學生的學習興趣，一邊也是在鍛煉自己的領導技能。
六（A）班 Mile同學
我這學期才剛轉學到惠立。數學周太好玩了，我以前從來沒有參加過類似的活動。給我印象最深的是“吃不完的巧克力”挑戰。我搜索了很多資料，嘗試了3x5、4x6等方法來分割巧克力。當我發現巧克力并不是真的“吃不完”時，雖然有點遺憾，但還是非常開心，因為這是我們組獨立探索出來的結果。
五（E）班 Catherine同學
我覺得數學周特別考驗我的演講能力。本來在公共場合演講，我會比較害怕、緊張，但是這次給三年級講完后特別有成就感！
今年，學生家長也參與到“數學游園會”中，把現場氣氛推向高潮。家長們搖身一變成為活動合辦方，在精心裝扮的“數學展臺”旁，和學生分享數學的奧秘。
一位學生家長說到：
“孩子以前有點兒怕學數學，但在這種項目式探究學習的過程中，孩子逐漸發現原來數學也可以這么好玩！這段時間里，孩子每天回家都會迫不及待地為自己的展示項目搜集資料，自主地去學習一些新知識，這真是太好了。”
還有的家長說到：
“我覺得這次的‘數學游園會’特別有意思，能讓家長真切地看到孩子在學校是怎么學習數學的，讓我們對孩子的數學學習更有信心了！”
初中部“玩轉數學”
李沫
初中部數學教研組長
數學尋寶游戲
今年數學周的一大亮點是“尋寶游戲”。數學組的老師們精心準備了數十條尋寶路線和“藏寶”信封，各個年級的同學們按學院分組，通過團隊協作和細心作答，破解尋寶地點的線索：有的學生手握校園地圖，按照坐標尋找指定位置；有的走進圖書館，仔細解鎖書架編碼的秘密；有的走進大劇院，按照行列精準定位目標位置。最后，他們意氣風發地在校園中奔跑，抵達勝利的終點。尋寶游戲真是創意無窮、激動人心。
24點燒腦搶答
“24 點”游戲真是令人欲罷不能的健腦益智小游戲。簡單的四個數字，一加一減、一乘一除之間便能得出24。為了讓初中部全體師生積極參與到數學周的活動中，數學組每天都準備了“24 點”游戲作為每節課前的熱身練習。“24 點”游戲讓老師們看到了學生出色的計算能力，也讓數學的樂趣延伸到每一節課堂上。
考考你：
7、4、3、9這四個數字有十種24點算法，你能算出多少種呢？
（答案在本文最后）
三階魔方的六面復原
數學周上，我們驚喜地發現初中部不少學生已經是魔方“專業玩家”：魔方在他們手中飛速旋轉，不出幾十秒便神奇般地復原了回去。周五下午的初中部集會上，魔方個人賽和團隊賽將緊張又激烈的氣氛推向頂點，十幾名選手站在舞臺上沉著冷靜地旋轉手中的魔方，最后Jeffery同學以22秒完成復原的成績取得比賽勝利，得到了臺下觀眾們的一片歡呼。
數學家長交流會
初中部還舉辦了一場以“如何在數學教學中激發學生的數學潛能”為主題的家長交流會。數學組長李老師為家長們闡述了惠立學校的數學教學活動及背后的策略和意義，并讓到場的家長們通過親身體驗教學活動，感受到數學學習不單單是為了取得優異的學科成績，更重要的去培養數學思維、學習觀察世界的方式。
數學國際賽事
每年的十一月是數學活動最為豐富的一個月。除了一年一度的數學周外，還有不同的數學競賽活動，例如美國數學競賽（AMC10/12）、美國數學建模比賽（HiMCM/MidMCM）、英國奧林匹克數學競賽 （BMO）等。我們將豐富有趣的活動和賽事貫穿在日常的教學之中，讓所有學生都能充分參與到數學學習中來，感受數學的奇妙之處、在良性競爭中不斷提高自我。
著名數學家華羅庚說過：“宇宙之大，粒子之微，火箭之速，化工之巧，地球之變，生物之謎，日月之繁，無處不用數學。”數學是一切科學的通用語言。我們希望通過精彩紛呈的數學周活動，激發惠立學子對數學學習的興趣和熱愛，建立起數學邏輯思維，成長為具備嚴謹的邏輯認知的優秀學子。
答案：
迅速求解方法有二：
102+100+99+101+98=100×5+2+0-1+1-2=500
102+100+99+101+98=98+99+100+101+102=100×5=500
24點考考你答案——你答出了幾種呢？
[(7+4)*3]-9，[ (7-4)*9]-3，
4-[7-(3*9) ]，(4-7)+(3*9)，
[ (4+7)*3]-9，4-[7-(9*3) ]，
(4-7)+(9*3)，4+[ (3*9)-7]，
[4+(3*9) ]-7，4*[3*(9-7) ]
向右滑動，查看中文內容
What makes a mathematician? Qiu Chengtong, the first Chinese-American mathematician to be awarded the Fields Medal, known as the Nobel Prize in mathematics, once commented, “Many Chinese children do not see the essence of mathematics. They are happy if they get the answers right and do well in their exams. However, the true essence of maths is not about solving questions, especially not the ones set by others, but to discover research paths, raise worthy questions and blaze a trail of their own.” The inspiration for his remarks on fundamental maths education should put more focus on cultivating pupils’ interest in learning maths and building their maths thinking.
Since its establishment, the Huili maths department has launched the Maths Week programme, which, over the years, has led our pupils to realise that?maths is everywhere, to?let the magic of Maths unfold?, and to find?the Beauty of Maths. This year, the maths week theme at Huili was “Maths is fun”. Pupils were inspired by the curiosity of creative games and competitions that deepened their understanding of abstract concepts, so they were equipped with the necessary skills to solve practical issues. It is one of Huili’s approaches to building the maths thinking of the pupils that allows them to grow into outstanding talents to embrace the ever-changing world.
In the Excellent Teaching and Research Team & Team Leader Selection 2022 organised by Qianjiang Education Guidance Centre, the primary and junior high maths departments of Huili School Hangzhou were awarded as Excellent Subject Departments. So let us look back at our maths week and learn how our award-winning maths team has led Huili pupils to find ?Maths is Fun.?
Fiona Qiu
Head of Primary Mathematics
Upper Primary
Maths Speed Calculation
Relay
Pupils shared their skills in speed calculation. They collaborated and competed, fully engaged in this inspiring activity, culminating in the house competition in assembly. After breath-holding rounds answering questions, Si, De and Xian houses won the first, second and third of the competition. Congratulations to our brilliant winners.
Quiz:
Do you know how to speed calculate 100+99+101+98?
Slide down to the bottom for the possible answers.
Maths Carousel
Grade 3 pupils delve into a fantastic world of geometry by producing elaborated artworks inspired by the mysterious and bewildering Sierpinski triangle, which left the viewers in awe.
Grade 4 pupils used their understanding of fractions and created a creative “pizza fraction”, based on which they created and solved word problems, building a bridge that connects maths with daily life.
Grades 5 and 6 pupils became mathematicians and presented the fun and practical use of maths to the grades 3 and 4 pupils by organising an array of engaging games, such as strategy games, the never-ending chocolate, and the Buffon’s needle experiment. These activities not only inspired the lower-grade pupils to dive deeper but also served as a window for the upper-grade pupils to demonstrate their leadership.
Mile R from 6A
I recently transferred to Huili and found maths week so much fun. This is the first time I have had similar activities. What impressed me the most was the “never-ending chocolate” challenge. I read a lot and tried to cut the chocolate by 3x5 or 4x6. Finding out that the chocolate was not literally “never-ending” was a pity, but I was still thrilled because our team worked together and found the solution independently.??
Catherine W from 5A
Maths week was a time for me to practice my public speaking. I thought I would be scared and anxious, but instead, I was filled with a sense of achievement after presenting to the grade 3 pupils.
The Maths Carousel was culminated by parental involvement this year. Parents became co-organisers and shared with pupils next to the exhibition desks they decorated by themselves.
Parent comment
“My child used to be a bit scared of learning maths, but in this project-based inquiry learning process, he gradually realised that maths could be so much fun. It is great to see him come home every day eager to gather information for his presentation projects and learn something new.”
Parent comment
“This Maths Carousel is extremely fun. We got to see how children learn maths at Huili, which gives us more confidence in their performance.”
Molli Li
Head of Junior High Mathematics
Treasure Hunt
One of the highlights of this year’s Maths Week was the Treasure Hunt. The maths team prepared dozens of treasure-hunting routes and envelopes with hidden treasures. Pupils were grouped by houses to decipher the clues to the destinations through teamwork and answering questions. Some read the campus map carefully and managed to locate the spot with the given coordinates. Some unveiled the secrets of the bookshelf’s arrangements in the library. Some pinpointed the locale of their target according to the rows and seat numbers at the grand theatre. Finally, they ran to the destination in high spirits on campus. What an exciting and innovative game.
The 24 puzzle?
It is a fascinating arithmetical puzzle that requires the participants to find a way to manipulate four numbers to reach a result of 24. Our maths department prepared the unknown every day as a warm-up exercise before each lesson to encourage more participation from our teachers and pupils. It allowed the teachers to see our pupils’ strong calculation skills and extended the fun of maths week to every classroom.
Try the game:
There are ten combinations to reach the final result of 24 with the numbers 7, 4, 3, and 9. How many can you think of?
Slide down to the bottom for the possible answers.
Rubik’s cubecompetition
We were surprised to learn that many junior high pupils were already experts in solving Rubik’s Cube. Their proficiency was astonishing, having solved complex cube puzzles within less than a minute. At the assembly on Friday afternoon, we held individual and team competitions with a dozen players standing on the stage and spinning their cubes. Jeffery won the race by solving a Rubik’s cube within 22 seconds. What a remarkable achievement.
Maths parent workshop
We also held a parent workshop on “how to inspire pupils’ potential through maths teaching”. Ms. Li, Head of Junior High mathematics, elaborated on the maths activities and teaching strategies at Huili and their significance. We invited parents to experience the maths lessons to realise that learning maths is not simply about gaining a higher academic score but also about raising maths logic and a way of observing the world.?
International maths competitions
November is a month with abundant maths activities. Besides our annual maths week, there are plenty of maths competitions, such as the American Mathematics Competition (AMC10/12), the American High/Middle School Mathematical Contest in Modeling HiMCM/MidMCM, and the British Mathematical Olympiad (BMO). Activities and competitions are combined in our daily teaching at Huili so all pupils can fully engage in maths learning, feel the wonder of maths and improve themselves through positive competition.?
Maths is the universal language of all sciences. We hope that Huili pupils’ interest and passion for learning maths are inspired by the engaging maths week and that their maths logic is established to grow up to be outstanding pupils with critical thinking abilities.
Answers to the speed calculation
102+100+99+101+98=100×5+2+0-1+1-2=500
102+100+99+101+98=98+99+100+101+102=100×5=500
Answers to the 24 puzzle
[(7+4)*3]-9，[ (7-4)*9]-3，
4-[7-(3*9) ]，(4-7)+(3*9)，
[ (4+7)*3]-9，4-[7-(9*3) ]，
(4-7)+(9*3)，4+[ (3*9)-7]，
[4+(3*9) ]-7，4*[3*(9-7) ]
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