雙語數學學習平台

Bilingual Math Learning Platform

滑動上方以檢視不同的應用Swipe above to view different applications

數學詞彙中英對照學習資源

Math Vocabulary Learning Resources in Chinese and English

透過趣味漫畫學習數學概念

Learn Math Concepts Through Fun Comics

本漫畫係依據課堂板書內容,並透過 NanoBanana 生成影像後製作而成。

This comic was developed using NanoBanana, based on the instructional board notes from class.

Doraemon's Spatial Geometry Adventure
哆啦A夢的空間幾何冒險(從2D到3D)
Doraemon's Spatial Geometry Adventure (From 2D to 3D)
學習主題:空間幾何、維度轉換
The Polar Detective & The Mystery of the Rose
極座標偵探與玫瑰之謎
The Polar Detective & The Mystery of the Rose
學習主題:極座標對稱性、玫瑰曲線 r = 4sin(3θ)
Conversion between rectangular and polar coordinates
直角座標與極座標的轉換
Conversion between rectangular and polar coordinates
學習主題:直角座標與極座標的轉換公式,複習參數式
Projectile Motion with Parametric Equations
拋體運動與參數方程
Projectile Motion with Parametric Equations
學習主題:拋體運動的參數式表達
De Moivre's Theorem
棣美弗定理
De Moivre's Theorem
學習主題:複數的極式與棣美弗定理
Nth Root
n次方根
Nth Root
學習主題:複數的n次方根
Burger Toppings and Pascal's Triangle
漢堡配料與巴斯卡三角形
Burger Toppings and Pascal's Triangle
學習主題:巴斯卡三角形與組合數
Convergence of Rational Functions and Sequences
有理函數和數列的收斂
Convergence of Rational Functions and Sequences
學習主題:有理函數與數列的收斂
Arithmetic Sequence
等差數列
Arithmetic Sequence
學習主題:等差數列通項與公差
Inductive Reasoning and Proof
歸納推理與證明
Inductive Reasoning and Proof
學習主題:歸納推理與數學證明
Mathematical Induction
數學歸納法
Mathematical Induction
學習主題:數學歸納法與證明技巧

優質教學示範資源

Quality Teaching Demonstration Resources

AI 驅動的互動式數學學習體驗

AI-Powered Interactive Math Learning Experience

從小說中發現雙語數學的美妙時刻

Discover Beautiful Bilingual Math Moments in Novels

📚 In Five Years by Rebecca Serle

In Five Years 的開頭,主角用了一連串簡單卻富有節奏的數字:Twenty-five, thirty-six, eighteen, twenty-four…每一個數字都代表她生活中的一段記憶、一個習慣、或一個價值觀。Twenty-five. That's the number I count to every morning before I even open my eyes. Thirty-six. That's how many minutes it takes me to brush my teeth...這樣的敘述方式可以是雙語數學課的開場,用幾個看似普通的數字,把學生帶進思考,也順便打開互動。

🚀 Project Hail Mary by Andy Weir

聽說這部就要搬上大螢幕了。想像一下,你從昏迷中醒來,什麼都想不起來,耳邊只有一台機器反覆問你:"What is two plus two?",你是不是想再暈一次。但更崩潰的還在後面,當你好不容易恢復一點思考能力,機器自以為把難度調高:"What's the cube root of eight?"

你回了 Two times e to the two-i-pi,他卻說你錯。

🖼️ Hidden Pictures by Jason Rekulak

這本小書英文用字簡單,中文版「詭畫連篇」也有很多人推薦,故事情節更是讓你完全猜不到走向。但在所有的驚喜之外,我最喜歡的是它用「數學」來呈現真理被扭曲的荒謬感。"It's like we're all willfully ignoring the obvious, like we've all suddenly decided to agree that 2 + 2 = 5."這個意境在「1984」一書也曾出現:"Freedom is the freedom to say that two plus two make four. If that is granted, all else follows."

當一個社會不允許你說出最基本的真相,那自由也就無從談起。

孩子們,好好享受你可以自由算數學的年紀吧。

😊 Yellowface by R.F. Kuang

如果你對社群媒體如何讓人一夕爆紅、又如何讓人瞬間跌落谷底感興趣,這本書很適合你。在數學裡我們說「負負得正」,但這本書殘酷又諷刺地告訴你:在社群世界裡,Two wrongs make a right

讓我們看看數學如何應用在寫作上。主角計算自己的寫作節奏,每天兩千字,考量編修時間,規劃出一條通往出版成功的路。I sketch out an outline for the rest of the story and create a work schedule for myself: at a rate of two thousand words a day, and factoring in time for revisions and line edits, I can have this finished in less than a month.

在一個講究流量、效率與產出的世界裡,你相信什麼?

💕 The Love Hypothesis by Ali Hazelwood

你知道「相關不等於因果(correlation ≠ causation)」竟然還能被用來當量表的極端值嗎?因為在研究裡,這是最讓人崩潰的誤會——就像你看到冰淇淋銷量上升、同時海邊被魚咬傷的人數也增加,然後以為「吃冰淇淋會害你被魚攻擊」一樣荒謬。

這本書用一句 "How much do you hate this, on a scale from one to 'correlation equals causation'?" 把這種研究者的惡夢轉化成幽默的情境。

🎮 Tomorrow, and Tomorrow and Tomorrow by Gabrielle Zevin

Tomorrow, and Tomorrow, and Tomorrow 裡,最讓我難忘的一幕,是男主角 Sam 在捷運月台上久別重逢 Sadie 的場景。書中寫道:"It was as if she were a mathematical proof that had eluded him for many years—but all at once, with fresh, well-rested eyes, the proof had a completely obvious solution."

你曾經被哪些數學題困住?你的 Aha moment 又是在哪一刻來臨?也許,你人生裡那些「想不通的事情」,終有一天也會像那道證明題一樣—在你意想不到的地方,突然變得明白。

😰 Anxious People by Fredrik Backman

已是Netflix影集,是本溫馨小品,閱讀過後一定不焦慮。在這本書裡有一句好笑又精準的話:"Most twenty-year-olds are wrong so often that most of them would have just a one in four chance of answering a yes-or-no question correctly."

如果一個人面對二選一卻能錯得這麼離譜,答對率低到只剩 25%,那在數學上我們會合理推論:這個人不是運氣差,而是很擅長把選項往錯的方向挑。一句玩笑把青春的迷惘與魯莽描寫得又可愛又精準。

🐙 Remarkably Bright Creatures by Shelby Van Pelt

這是個小鎮水族館裡的章魚和清潔婦的溫馨故事,我記不得書和雙語數學相關的情節。但因為他是比爾蓋茲年度選書,本著「為賦新詞強說愁」的角度,我想要介紹這段:"From the site of Tova's encounter with the chewing gum, the supply closet is full diameter across."

從數學的角度來看,直徑 (diameter) 是連結圓上兩點、並且穿過圓心的最長距離。那些誤以為大 R 代表直徑、小 r 代表半徑的,下次試著用 D 代表直徑吧。

🔢 Eleven Numbers by Lee Child

一杯手搖飲的錢,就能入手人生中的第一本原文書;在這本書裡,質數成了推理小說的主角。在某段情節中,角色們討論著一串巨大又混亂的數字:188,888,881、213,161,503、383,838,383、696,729,579……看似隨機,卻暗藏密碼。有人提醒:"Two of them read the same forward and backward." 原來這些數字裡藏著回文(palindrome)質數——既是質數,又能前後倒讀都完全相同的神奇存在。想知道書名ELEVEN NUMBERS的奧妙,千萬不要錯過這本。

👠 Teacher by Freida McFadden

主角是個愛買鞋的女數學老師。我對整本書最大的共鳴只有這幾句"I can't say it enough. I don't want to go to school.""Her face has that fresh look that eight years teaching high school math has flushed out of me"

這年頭,教書真的是一件傷心和傷神的工作啊!

如果要推薦同一位作者的作品,我更喜歡她的「家弒服務」(The Housemaid)。不但有續集,還有中文版,而且即將登上大銀幕。