本論文研究目的在於：針對三角函數之相關課題及先備知識，評估由國小至高中數學領域教科書的連貫性與合宜性，並與新加坡教科書作跨國比較，以作為九十八學年度高中課程綱要修訂之學理依據。 本文採用內容分析研究法與比較教育研究法，將台灣與新加坡教科書依照描述、並列與比較等階段進行探討與分析。依據兩國之數學教學目標、一到十年級的教材、佈題背景與問題情境，歸納出兩國教科書突顯的特色，並列出值得台灣參考與學習之項目。研究結果建議台灣 (1) 拉長三角函數的教學時程 (2) 改進教材的佈題背景 (3) 落實資訊與數學之結合。期盼本研究對於我國未來教科書之撰寫與數學綱要之修訂提供有益之參考。 This is a thesis which mainly focuses on: correlative topics and advance knowledge of Trigonometry, evaluating coherence and appositeness from elementary to high school in textbooks within mathematics filed. We also have compared with Singapore’s textbooks in order to make the theoretical basis for modifying future mathematics textbooks of senior high school in Taiwan in 2009. This thesis adopted both Content Analysis Method and Comparative Method by researching and analyzing with delineation, juxtaposition and comparison from Taiwan and Singapore’s textbooks. In terms of the purposes of mathematics teaching, teaching materials from 1st to 10th grades, teaching background setting and the question conditions, the key features between two countries’ textbooks can be generalized. We give conclusions and suggestions with references to the development of the textbooks in Taiwan. The results of the research suggest Taiwan (1) Extension on Trigonometry teaching hours; (2) Improvement in teaching material’s background setting; (3) Insure the integration of information and mathematics. It is our hope that these conclusions and suggestions can make some beneficial contributions to the future mathematics textbooks of senior high school in Taiwan.
