使修課同學瞭解幾何學在文明發展中所扮演的角色，認識相關幾何概念的源起、方法與應用，並能從文明、邏輯與美感三個面向來融通過去所學的數學知識。而學習到數學嚴謹的思考模式與方法，亦為本課程的重要目標。課程中也將透過分組討論、學習與發表，希望培養修課同學溝通與科學敘事的能力。課程內容設計將以兼顧歷史素材與基本理論及應用的介紹，為定位於傳統數學專業課程與數學類通識課程之間的專業通識課程。

This course enables students to understand the role that geometry plays in the development of civilization, understand the origin, methods and applications of related geometric concepts, and be able to integrate the mathematical knowledge they have learned in the past from the three aspects of civilization, logic and aesthetics. Learning rigorous thinking patterns and methods in mathematics is also an important goal of this course. The course will also use group discussions, learning and presentations to develop students' communication and scientific narrative abilities. The course content design will take into account the introduction of historical materials and basic theories and applications. It will be a professional general course positioned between traditional mathematics professional courses and mathematics general courses.

以課堂投影片、講義搭配學習單為主，並參考以下書籍資料：

1. Alexander Ostermann and Gerhard Wanner: Geometry by its History. Undergraduate Texts in Mathematics, Springer 2012. （可由本校圖書館網站下載電子書）

2. John Barnes: Gems of geometry (2nd ed.). Springer 2012.（可由本校圖書館網站下載電子書）

3.William L. Hosch (ed.): The Britannica Guide to Geometry (Math Explained). Rosen Education Service 2010. （可由本校圖書館網站下載電子書）

It mainly uses classroom slides, lecture notes and study sheets, and refers to the following books and materials:

1. Alexander Ostermann and Gerhard Wanner: Geometry by its History. Undergraduate Texts in Mathematics, Springer 2012. (The e-book can be downloaded from the school library website)

2. John Barnes: Gems of geometry (2nd ed.). Springer 2012. (The e-book can be downloaded from the school library website)

3.William L. Hosch (ed.): The Britannica Guide to Geometry (Math Explained). Rosen Education Service 2010. (The e-book can be downloaded from the school library website)