介紹歐氏幾何、射影幾何及球面幾何等古典幾何的基本概念，並簡要闡述克萊恩（Felix Klein）的幾何綱領（Erlangen program），使修課同學認識相關的幾何理論，以及重要幾何概念發展的歷史背景介紹。對於修習數學教育學程的同學，本課程將提供以高觀點瞭解中學數學課程內容，並輔以相關教學軟體的應用，俾有助於未來從事相關教學工作。

It introduces the basic concepts of classical geometry, projective geometry and spherical geometry, and briefly describes the Erlangen program of Felix Klein, so that students can understand the theory of geometry related to education, as well as the historical background introduction of the development of important geometry concepts. For students who are studying the mathematics education course, this course will provide a high-level understanding of the content of the mathematics course and the application of relevant teaching software to help in future related teaching work.

教科書：Brannan, Esplen and Gray : Geometry (2ed edition), Cambridge.（東華書局代理）

參考書籍：
1. Hvidsten: Geometry with Geometry Explorer, McGraw-Hill. （東華書局代理）
2. Meyer: Geometry and Its Applications, Elesvier Health. （滄海書局代理）

GeoGebra軟體可至http://www.geogebra.org/下載。

Textbook: Brannan, Esplen and Gray : Geometry (2ed edition), Cambridge. (Agent from Donghua Book Bureau)

Reference books:
1. Hvidsten: Geometry with Geometry Explorer, McGraw-Hill. (Agent of Donghua Books Bureau)
2. Meyer: Geometry and Its Applications, Elesvier Health. (Agent from the Hsiao Books Bureau)

GeoGebra software can be downloaded at http://www.geogebra.org/.