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成為一名數(shù)學(xué)家需要哪些特質(zhì)？“數(shù)學(xué)界的諾貝爾獎(jiǎng)”菲爾茲獎(jiǎng)首位華人得主丘成桐曾說過這樣一段發(fā)人深省的話：“很多中國(guó)的小孩看不到數(shù)學(xué)最精華的地方，認(rèn)為只要將題目做對(duì)、將考試考好，就很高興。但數(shù)學(xué)的真諦不是做題、特別不是做別人出的題，而要自己發(fā)掘好的研究方向、好的問題，走出一條自己的路?！庇纱丝梢?，助力中國(guó)從數(shù)學(xué)大國(guó)成為數(shù)學(xué)強(qiáng)國(guó)，數(shù)學(xué)基礎(chǔ)教育更應(yīng)注重培養(yǎng)學(xué)生的數(shù)學(xué)興趣和思維。這與杭州惠立學(xué)校開設(shè)“數(shù)學(xué)周”的初衷不謀而合。

【資料圖】

自建校以來，杭州惠立學(xué)校數(shù)學(xué)教研組定期啟動(dòng) “數(shù)學(xué)周”，帶領(lǐng)學(xué)生感受“萬物皆數(shù)學(xué)”的奇妙、“尋找身邊的數(shù)學(xué)”、驚嘆于“大美數(shù)學(xué)”，今年更是“玩轉(zhuǎn)數(shù)學(xué)”，在創(chuàng)意迸發(fā)的游戲和激烈的比賽中激發(fā)學(xué)生對(duì)數(shù)學(xué)的興趣、深化對(duì)概念的認(rèn)知，將抽象與現(xiàn)實(shí)相結(jié)合，培養(yǎng)學(xué)生的數(shù)學(xué)思維，引導(dǎo)學(xué)生成為有能力迎接日新月異的世界的優(yōu)秀學(xué)子。

在錢江教育指導(dǎo)中心2022年優(yōu)秀教研組（組長(zhǎng)）評(píng)選中，杭州惠立學(xué)校小學(xué)數(shù)學(xué)教研組、初中數(shù)學(xué)教研組均被評(píng)為優(yōu)秀學(xué)科教研組。今天，請(qǐng)隨我們一起回顧上周數(shù)學(xué)周的精彩，看看惠立優(yōu)秀數(shù)學(xué)教研組的教師們是如何帶領(lǐng)學(xué)生“玩轉(zhuǎn)數(shù)學(xué)”的吧。

小學(xué)部：踏上“奇妙的數(shù)學(xué)之旅”

裘燕蘭

小學(xué)高年級(jí)數(shù)學(xué)教研組長(zhǎng)

數(shù)學(xué)速算接力賽

學(xué)生以學(xué)院為單位，分享速算與巧算的經(jīng)驗(yàn)，激發(fā)著同學(xué)們的求知欲和求勝心。在合作與競(jìng)爭(zhēng)中，我們迎來周五集會(huì)的學(xué)院比賽。各學(xué)院代表隊(duì)派出征戰(zhàn)代表，在激烈的角逐中你追我趕，比賽分?jǐn)?shù)跌宕起伏，現(xiàn)場(chǎng)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(jiǎng)同學(xué)和學(xué)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(shù)學(xué)游園會(huì)

三年級(jí)學(xué)生走進(jìn)奇妙的幾何世界。他們把謝爾賓斯基三角形中的無窮玄機(jī)與無盡美感創(chuàng)作成為一件精美的藝術(shù)作品，令參觀者嘆為觀止。

四年級(jí)同學(xué)則利用分?jǐn)?shù)的知識(shí)，制作出創(chuàng)意無限的“分?jǐn)?shù)披薩”，并創(chuàng)設(shè)對(duì)應(yīng)的應(yīng)用題目，再加以解答，將數(shù)學(xué)與生活巧妙地聯(lián)系了起來。

五、六年級(jí)學(xué)生化身為“小小數(shù)學(xué)家”，通過“策略游戲”、“永遠(yuǎn)吃不完的巧克力”、“蒲豐投針實(shí)驗(yàn)”等豐富有趣的游戲，向三、四年級(jí)的學(xué)生展示數(shù)學(xué)的趣味和實(shí)際應(yīng)用，一邊幫助激發(fā)低年級(jí)學(xué)生的學(xué)習(xí)興趣，一邊也是在鍛煉自己的領(lǐng)導(dǎo)技能。

六（A）班 Mile同學(xué)

我這學(xué)期才剛轉(zhuǎn)學(xué)到惠立。數(shù)學(xué)周太好玩了，我以前從來沒有參加過類似的活動(dòng)。給我印象最深的是“吃不完的巧克力”挑戰(zhàn)。我搜索了很多資料，嘗試了3x5、4x6等方法來分割巧克力。當(dāng)我發(fā)現(xiàn)巧克力并不是真的“吃不完”時(shí)，雖然有點(diǎn)遺憾，但還是非常開心，因?yàn)檫@是我們組獨(dú)立探索出來的結(jié)果。

五（E）班 Catherine同學(xué)

我覺得數(shù)學(xué)周特別考驗(yàn)我的演講能力。本來在公共場(chǎng)合演講，我會(huì)比較害怕、緊張，但是這次給三年級(jí)講完后特別有成就感！

今年，學(xué)生家長(zhǎng)也參與到“數(shù)學(xué)游園會(huì)”中，把現(xiàn)場(chǎng)氣氛推向高潮。家長(zhǎng)們搖身一變成為活動(dòng)合辦方，在精心裝扮的“數(shù)學(xué)展臺(tái)”旁，和學(xué)生分享數(shù)學(xué)的奧秘。

一位學(xué)生家長(zhǎng)說到：

“孩子以前有點(diǎn)兒怕學(xué)數(shù)學(xué)，但在這種項(xiàng)目式探究學(xué)習(xí)的過程中，孩子逐漸發(fā)現(xiàn)原來數(shù)學(xué)也可以這么好玩！這段時(shí)間里，孩子每天回家都會(huì)迫不及待地為自己的展示項(xiàng)目搜集資料，自主地去學(xué)習(xí)一些新知識(shí)，這真是太好了?！?/p>

還有的家長(zhǎng)說到：

“我覺得這次的‘?dāng)?shù)學(xué)游園會(huì)’特別有意思，能讓家長(zhǎng)真切地看到孩子在學(xué)校是怎么學(xué)習(xí)數(shù)學(xué)的，讓我們對(duì)孩子的數(shù)學(xué)學(xué)習(xí)更有信心了！”

初中部“玩轉(zhuǎn)數(shù)學(xué)”

李沫

初中部數(shù)學(xué)教研組長(zhǎng)

數(shù)學(xué)尋寶游戲

今年數(shù)學(xué)周的一大亮點(diǎn)是“尋寶游戲”。數(shù)學(xué)組的老師們精心準(zhǔn)備了數(shù)十條尋寶路線和“藏寶”信封，各個(gè)年級(jí)的同學(xué)們按學(xué)院分組，通過團(tuán)隊(duì)協(xié)作和細(xì)心作答，破解尋寶地點(diǎn)的線索：有的學(xué)生手握校園地圖，按照坐標(biāo)尋找指定位置；有的走進(jìn)圖書館，仔細(xì)解鎖書架編碼的秘密；有的走進(jìn)大劇院，按照行列精準(zhǔn)定位目標(biāo)位置。最后，他們意氣風(fēng)發(fā)地在校園中奔跑，抵達(dá)勝利的終點(diǎn)。尋寶游戲真是創(chuàng)意無窮、激動(dòng)人心。

24點(diǎn)燒腦搶答

“24 點(diǎn)”游戲真是令人欲罷不能的健腦益智小游戲。簡(jiǎn)單的四個(gè)數(shù)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(shù)學(xué)周的活動(dòng)中，數(shù)學(xué)組每天都準(zhǔn)備了“24 點(diǎn)”游戲作為每節(jié)課前的熱身練習(xí)?！?4 點(diǎn)”游戲讓老師們看到了學(xué)生出色的計(jì)算能力，也讓數(shù)學(xué)的樂趣延伸到每一節(jié)課堂上。

考考你：

7、4、3、9這四個(gè)數(shù)字有十種24點(diǎn)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(fù)原

數(shù)學(xué)周上，我們驚喜地發(fā)現(xiàn)初中部不少學(xué)生已經(jīng)是魔方“專業(yè)玩家”：魔方在他們手中飛速旋轉(zhuǎn)，不出幾十秒便神奇般地復(fù)原了回去。周五下午的初中部集會(huì)上，魔方個(gè)人賽和團(tuán)隊(duì)賽將緊張又激烈的氣氛推向頂點(diǎn)，十幾名選手站在舞臺(tái)上沉著冷靜地旋轉(zhuǎn)手中的魔方，最后Jeffery同學(xué)以22秒完成復(fù)原的成績(jī)?nèi)〉帽荣悇倮?，得到了臺(tái)下觀眾們的一片歡呼。

數(shù)學(xué)家長(zhǎng)交流會(huì)

初中部還舉辦了一場(chǎng)以“如何在數(shù)學(xué)教學(xué)中激發(fā)學(xué)生的數(shù)學(xué)潛能”為主題的家長(zhǎng)交流會(huì)。數(shù)學(xué)組長(zhǎng)李老師為家長(zhǎng)們闡述了惠立學(xué)校的數(shù)學(xué)教學(xué)活動(dòng)及背后的策略和意義，并讓到場(chǎng)的家長(zhǎng)們通過親身體驗(yàn)教學(xué)活動(dòng)，感受到數(shù)學(xué)學(xué)習(xí)不單單是為了取得優(yōu)異的學(xué)科成績(jī)，更重要的去培養(yǎng)數(shù)學(xué)思維、學(xué)習(xí)觀察世界的方式。

數(shù)學(xué)國(guó)際賽事

每年的十一月是數(shù)學(xué)活動(dòng)最為豐富的一個(gè)月。除了一年一度的數(shù)學(xué)周外，還有不同的數(shù)學(xué)競(jìng)賽活動(dòng)，例如美國(guó)數(shù)學(xué)競(jìng)賽（AMC10/12）、美國(guó)數(shù)學(xué)建模比賽（HiMCM/MidMCM）、英國(guó)奧林匹克數(shù)學(xué)競(jìng)賽 （BMO）等。我們將豐富有趣的活動(dòng)和賽事貫穿在日常的教學(xué)之中，讓所有學(xué)生都能充分參與到數(shù)學(xué)學(xué)習(xí)中來，感受數(shù)學(xué)的奇妙之處、在良性競(jìng)爭(zhēng)中不斷提高自我。

著名數(shù)學(xué)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(shù)學(xué)?！睌?shù)學(xué)是一切科學(xué)的通用語(yǔ)言。我們希望通過精彩紛呈的數(shù)學(xué)周活動(dòng)，激發(fā)惠立學(xué)子對(duì)數(shù)學(xué)學(xué)習(xí)的興趣和熱愛，建立起數(shù)學(xué)邏輯思維，成長(zhǎng)為具備嚴(yán)謹(jǐn)?shù)倪壿嬚J(rèn)知的優(yōu)秀學(xué)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(diǎn)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(dòng)，查看中文內(nèi)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) ]