焦点短讯！数学周 | “惠”玩乐学，“数”你精彩Maths Week | Maths is fun

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成为一名数学家需要哪些特质？“数学界的诺贝尔奖”菲尔兹奖首位华人得主丘成桐曾说过这样一段发人深省的话：“很多中国的小孩看不到数学最精华的地方，认为只要将题目做对、将考试考好，就很高兴。但数学的真谛不是做题、特别不是做别人出的题，而要自己发掘好的研究方向、好的问题，走出一条自己的路。”由此可见，助力中国从数学大国成为数学强国，数学基础教育更应注重培养学生的数学兴趣和思维。这与杭州惠立学校开设“数学周”的初衷不谋而合。

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自建校以来，杭州惠立学校数学教研组定期启动 “数学周”，带领学生感受“万物皆数学”的奇妙、“寻找身边的数学”、惊叹于“大美数学”，今年更是“玩转数学”，在创意迸发的游戏和激烈的比赛中激发学生对数学的兴趣、深化对概念的认知，将抽象与现实相结合，培养学生的数学思维，引导学生成为有能力迎接日新月异的世界的优秀学子。

在钱江教育指导中心2022年优秀教研组（组长）评选中，杭州惠立学校小学数学教研组、初中数学教研组均被评为优秀学科教研组。今天，请随我们一起回顾上周数学周的精彩，看看惠立优秀数学教研组的教师们是如何带领学生“玩转数学”的吧。

小学部：踏上“奇妙的数学之旅”

裘燕兰

小学高年级数学教研组长

数学速算接力赛

学生以学院为单位，分享速算与巧算的经验，激发着同学们的求知欲和求胜心。在合作与竞争中，我们迎来周五集会的学院比赛。各学院代表队派出征战代表，在激烈的角逐中你追我赶，比赛分数跌宕起伏，现场气氛热烈无比。最终，思院、德院和贤院分别包揽速算比赛的前三名。祝贺获奖同学和学院！

考考你：

你有什么迅速求解102+100+99+101+98的好方法吗？

（答案在本文最后）

数学游园会

三年级学生走进奇妙的几何世界。他们把谢尔宾斯基三角形中的无穷玄机与无尽美感创作成为一件精美的艺术作品，令参观者叹为观止。

四年级同学则利用分数的知识，制作出创意无限的“分数披萨”，并创设对应的应用题目，再加以解答，将数学与生活巧妙地联系了起来。

五、六年级学生化身为“小小数学家”，通过“策略游戏”、“永远吃不完的巧克力”、“蒲丰投针实验”等丰富有趣的游戏，向三、四年级的学生展示数学的趣味和实际应用，一边帮助激发低年级学生的学习兴趣，一边也是在锻炼自己的领导技能。

六（A）班 Mile同学

我这学期才刚转学到惠立。数学周太好玩了，我以前从来没有参加过类似的活动。给我印象最深的是“吃不完的巧克力”挑战。我搜索了很多资料，尝试了3x5、4x6等方法来分割巧克力。当我发现巧克力并不是真的“吃不完”时，虽然有点遗憾，但还是非常开心，因为这是我们组独立探索出来的结果。

五（E）班 Catherine同学

我觉得数学周特别考验我的演讲能力。本来在公共场合演讲，我会比较害怕、紧张，但是这次给三年级讲完后特别有成就感！

今年，学生家长也参与到“数学游园会”中，把现场气氛推向高潮。家长们摇身一变成为活动合办方，在精心装扮的“数学展台”旁，和学生分享数学的奥秘。

一位学生家长说到：

“孩子以前有点儿怕学数学，但在这种项目式探究学习的过程中，孩子逐渐发现原来数学也可以这么好玩！这段时间里，孩子每天回家都会迫不及待地为自己的展示项目搜集资料，自主地去学习一些新知识，这真是太好了。”

还有的家长说到：

“我觉得这次的‘数学游园会’特别有意思，能让家长真切地看到孩子在学校是怎么学习数学的，让我们对孩子的数学学习更有信心了！”

初中部“玩转数学”

李沫

初中部数学教研组长

数学寻宝游戏

今年数学周的一大亮点是“寻宝游戏”。数学组的老师们精心准备了数十条寻宝路线和“藏宝”信封，各个年级的同学们按学院分组，通过团队协作和细心作答，破解寻宝地点的线索：有的学生手握校园地图，按照坐标寻找指定位置；有的走进图书馆，仔细解锁书架编码的秘密；有的走进大剧院，按照行列精准定位目标位置。最后，他们意气风发地在校园中奔跑，抵达胜利的终点。寻宝游戏真是创意无穷、激动人心。

24点烧脑抢答

“24 点”游戏真是令人欲罢不能的健脑益智小游戏。简单的四个数字，一加一减、一乘一除之间便能得出24。为了让初中部全体师生积极参与到数学周的活动中，数学组每天都准备了“24 点”游戏作为每节课前的热身练习。“24 点”游戏让老师们看到了学生出色的计算能力，也让数学的乐趣延伸到每一节课堂上。

考考你：

7、4、3、9这四个数字有十种24点算法，你能算出多少种呢？

（答案在本文最后）

三阶魔方的六面复原

数学周上，我们惊喜地发现初中部不少学生已经是魔方“专业玩家”：魔方在他们手中飞速旋转，不出几十秒便神奇般地复原了回去。周五下午的初中部集会上，魔方个人赛和团队赛将紧张又激烈的气氛推向顶点，十几名选手站在舞台上沉着冷静地旋转手中的魔方，最后Jeffery同学以22秒完成复原的成绩取得比赛胜利，得到了台下观众们的一片欢呼。

数学家长交流会

初中部还举办了一场以“如何在数学教学中激发学生的数学潜能”为主题的家长交流会。数学组长李老师为家长们阐述了惠立学校的数学教学活动及背后的策略和意义，并让到场的家长们通过亲身体验教学活动，感受到数学学习不单单是为了取得优异的学科成绩，更重要的去培养数学思维、学习观察世界的方式。

数学国际赛事

每年的十一月是数学活动最为丰富的一个月。除了一年一度的数学周外，还有不同的数学竞赛活动，例如美国数学竞赛（AMC10/12）、美国数学建模比赛（HiMCM/MidMCM）、英国奥林匹克数学竞赛 （BMO）等。我们将丰富有趣的活动和赛事贯穿在日常的教学之中，让所有学生都能充分参与到数学学习中来，感受数学的奇妙之处、在良性竞争中不断提高自我。

著名数学家华罗庚说过：“宇宙之大，粒子之微，火箭之速，化工之巧，地球之变，生物之谜，日月之繁，无处不用数学。”数学是一切科学的通用语言。我们希望通过精彩纷呈的数学周活动，激发惠立学子对数学学习的兴趣和热爱，建立起数学逻辑思维，成长为具备严谨的逻辑认知的优秀学子。

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点考考你答案——你答出了几种呢？

[(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) ]

向右滑动，查看中文内容

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) ]