本論文主要針對我國與英國一到十年級數學教材中三角函數相關主題進行探討。分別摘錄兩國教材中與三角函數相關的數學知識要點與定義敘述，比較兩國鋪陳三角函數相關課題異同並加以評析、詮釋。最後歸納結論與建議，提供我國數學課程在三角函數相關主題編製發展上參考意見。 本文撰寫採用內容分析、文獻分析法與貝瑞岱的比較教育研究法進行兩國教材內容的比較。從比較兩國數學教科書鋪陳三角函數單元的過程中，歸納相關議題與特色，列出值得台灣觀摩與參考學習之項目。冀望這些結論與建議能對發展中的九十八年版高中數學教材在三角函數單元之修訂，做出實質貢獻。 The purpose of this thesis is mainly on the discussion and comparison between some mathematics subjects about trigonometry for grades 1--10 textbooks of Taiwan and England. We also indicate individual introductions of the main ideas and interpret some topics associate with trigonometric functions. Finally, we give conclusions and suggestions as references to the development of the textbooks in Taiwan. In the comparison part, we adopted Content Analysis, Document Analysis and George Bereday's Comparative Method. In the process of comparing the relative knowledge about trigonometric functions in the textbooks of these two countries, we got to conclude some important subjects and characteristics. In this end, we made a list of suggestions that would be worthwhile for us to think about. It is our hope that these conclusions and suggestions can make some substantial contributions to the future mathematics textbooks of senior high school in Taiwan, 2009.
