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。This course introduces the basic concepts of classical geometry such as Euclidean geometry, projective geometry, and spherical geometry, and briefly explains Felix Klein's Erlangen program, allowing students to understand relevant geometric theories and the development of important geometric concepts. Historical background introduction. For students studying mathematics education, this course will provide a high-level understanding of the content of secondary school mathematics courses, supplemented by the application of relevant teaching software, so as to help them engage in related teaching work in the future.
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 by Donghua Book Company)
Reference books:
1. Hvidsten: Geometry with Geometry Explorer, McGraw-Hill. (Agent of Donghua Book Company)
2. Meyer: Geometry and Its Applications, Elesvier Health. (Agent of Canghai Book Company)
GeoGebra software can be downloaded from http://www.geogebra.org/.
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 期中考期中考 midterm exam |
30 | |
| 期末考期末考 final exam |
30 | |
| 平時成績平時成績 usual results |
40 | 包括：小組報告、課堂反應及出席狀況等等。 |
