本課程以『數學為主，影劇為輔』的方式，在課堂上解析影劇中使用的數學，使同學瞭解數學概念在所選擇的『推理類』影劇中是如何被用來解決問題，在『哲理類』影劇中感受從心靈關懷的角度對數學的詮釋，並從『傳記類』影劇中認識數學家的故事與貢獻。
隨著網路傳輸速度的提升與手機、平板電腦等數位產品的普及，透過網路平台觀賞電影與電視劇已成為普遍的現象，其中的故事題材與呈現方式也更加多元。在歐洲、美國、日本等的影劇中已有為數不少的作品將數學概念融入其中，或是將數學家的故事以傳記電影方式呈現。有別於教學影片以及收視率與票房的考量，這些影劇在劇情、演員、拍攝手法等等方面有較大的吸引力，無形中將數學概念傳遞給普羅大眾。然而，也由於商業取向以及片長限制，其中的數學概念與數學家的貢獻常常無法完整地闡述與說明。
本課程將從所選擇的三大類別（推理類、哲理類、與傳記類）數學影劇中，搭配劇情的介紹以課堂講述的方式，較為完整地解析其中的數學概念與相關知識，探究數學家的人生歷程與貢獻，以及賞析數學公式背後的美感與蘊含的哲理。概念的介紹將避免繁複或艱澀的計算與數學證明，而是引領同學欣賞數學，使同學透過影劇學習並瞭解數學之用與數學之美，達到『傳播數學文化、提升數學素養』的目標。
課程進行的方式為教師於前一週指定隔週將討論的影劇名稱與內容介紹，同學於上課前可透過圖書館多媒體資料、線上隨選視訊系統、網路平台等管道先行觀賞（務請遵守智慧財產權相關規定）。課堂上則以解析影劇中的數學概念、方法、應用，以及補充影劇中對於數學知識或數學家的貢獻描述不足之處為主，必要時會輔以影片中重要相關片段。目前挑選的影劇資料庫分類如下（因課程時間限制，無法探討所有列出之影劇，未能於課堂講述的影劇可作為書面報告的題材）：
一、推理類影劇：費馬的房間（Fermate’s Room：2007西班牙電影）、數學女孩的戀愛事件簿（2013日本電視劇，共八集）、嫌疑犯X現身（2008日本電影）、數字搜查線（Numb3rs：2005-2010美國電視劇，共六季）。
二、哲理類影劇：心靈捕手（Good Will Hunting：1997美國電影）、博士熱愛的算式（2006日本電影）、X+Y愛的方程式（X+Y：2014英國電影）、數學囧很大（How I Came to Hate Math：2013法國紀錄片）。
三、傳記類影劇：美麗境界（A Beautiful Mind：2001美國電影）、風暴佳人（Agora：2009西班牙電影）、丈量世界（Measuring The World：2013德國電影）、天才無限家（The Man Who Knew Infinity：2016英國電影）、關鍵少數（Hidden Figures：2016美國電影）。
課程評分方式包括：期中考與期末考（涵蓋課堂講述，與影劇相關的基本數學概念與知識）、書面報告（內容可為：數學影劇評述、數學報導、或數學微電影等）、與平時成績（包含出席狀況、課堂發表、學習單與心得回饋單等等）。
This course analyzes the mathematics used in films in the classroom in the "mathematics, filmmaking" method, so that students can understand how mathematical concepts are used to solve problems in the selected "reasoning" film, feel the comments on mathematics from the perspective of spiritual concern in the "philosophical" film, and understand the stories and contributions of mathematicians from the "Translation" film.
With the increase in the speed of online transmission and the popularization of digital products such as mobile phones and tablets, viewing movies and TV dramas through online platforms has become a common phenomenon, and the story themes and presentation methods are also more diverse. In films such as Europe, the United States, Japan, etc., a large number of works have incorporated mathematical concepts into them, or presented mathematician stories in the form of a cinema. Different from the considerations of teaching videos, viewpoints and box office, these films are very attractive in terms of plot, actors, shooting techniques, etc., and invisibly convey the mathematical concept to the public. However, due to business orientation and length limitations, the mathematical concepts and mathematician contributions are often not fully described and explained.
This course will combine the three major categories of mathematical films (inference, philosophy, and transcription) selected (mathematical films) with the introduction of the plot in a classroom lecture to fully analyze the mathematical concepts and related knowledge, explore the life courses and contributions of mathematical formulas, and analyze the beauty and philosophy behind mathematical formulas. The introduction of the concept will avoid complicated or impurities in calculations and mathematical evidence, but will lead students to appreciate mathematics, so that students can understand the use of mathematics and the beauty of mathematics through film learning, achieving the goal of "propagating mathematics culture and improving mathematical cultivation".
The course is conducted to introduce the film names and contents that teachers will discuss the previous week. Students can first watch through library multimedia data, online video system, online platform and other pipelines before class (please abide by the relevant regulations of smart property rights for your business). In the class, the main focus is on analyzing mathematical concepts, methods, and applications in the film, and supplementing the insufficient description of mathematical knowledge or mathematician contributions in the film. When necessary, important relevant clips in the film will be used. The selected film databases are classified as follows (due to course time limitations, all listed films cannot be explored, and films that cannot be described in the classroom can be used as topics for book reporting):
1. Reasoning films: Fermate’s Room (Fermate’s Room: 2007 Spanish Movie), Mathematical Girl’s Love Event Book (2013 Japanese TV Drama, 8 episodes in total), Suspect X Appearance (2008 Japanese Movie), Digital Search Line (Numb3rs: 2005-2010 American TV Drama, 6 seasons in total).
2. Philosophical films: Good Will Hunting (Good Will Hunting: 1997 American movie), PhD's favorite formula (2006 Japanese movie), X+Y love equation (X+Y: 2014 British movie), and Mathematics embarrassing (How I Came to Hate Math: 2013 French record).
3. Recording films: A Beautiful Mind: 2001 American movies), A Beautiful Woman (Agora: 2009 Spanish movies), Measuring the World (Measuring The World: 2013 German movies), The Man Who Knew Infinity (2016 British movies), The number of key points (Hidden Figures: 2016 American movies).
Course rating methods include: midterm exam and final exam (including class lectures, basic mathematical concepts and knowledge related to film), book report (the content can be: mathematical film reviews, mathematical report, or mathematical micro-film, etc.), and daily performance (including attendance status, class presentation, learning orders and experience reviews, etc.).
課堂投影片與講義。
Classroom projection videos and lectures.
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 平時成績平時成績 Regular achievements |
40 | 包括學習單與出席狀況等等。 |
| 期末考期末考 Final exam |
30 | 以影劇中的數學基礎知識為主。 |
| 書面報告書面報告 Written Report |
30 | 課堂說明。 |
