### 博碩士論文 942201019 詳細資訊

 以作者查詢圖書館館藏 、以作者查詢臺灣博碩士 、以作者查詢全國書目 、勘誤回報 、線上人數：5 、訪客IP：100.26.179.196

(The influence of students learning trigonometry in senior high school after implementing Grade 1-9 Curriculum)

 ★ 台灣與韓國之十二年數學課程比較 ★ 台灣與英國三角函數課程之教科書比較 ★ 以自迴歸模型分析神經元訊號間之因果關係 ★ 自由邊界的保角參數化在Matlab上實現 ★ 利用數值模擬探討各式干擾因子對兩電生理訊號因果關係判讀之影響 ★ 一個物件導向的數學概念學習與診斷工具 ★ 增加解析度的凌波演算法 ★ 提昇後的凌波函數與數值分析 ★ Helmholtz 方程與 Wavelet 迭代法 ★ 影像放大與直脊函數 ★ 雙正交凌波函數於血壓與 交感神經活性訊號分析之應用 ★ 中小學數學創意教學競賽實施之研究 ★ 血壓與交感神經活性訊號關係的數學模型 ★ 國中生胚騰推理與數學能力之相關性研究 ★ 台灣與日本之十二年數學課程比較 ★ 台灣與新加坡之十二年數學課程比較

1. 本電子論文使用權限為同意立即開放。
2. 已達開放權限電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。
3. 請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。

We adopted the ways of content analysis, questionnaire survey and opinion interview to collect the raw data. The analysed materials include the document practically relevant to situation of Grade 1-9 Curriculum. With regards to the questionnaire and interview aspects, we employed those made up by ourselves "The Questionnaire of trigonometry study present situation (pre-test)", "The Questionnaire of trigonometry study present situation (post-test)" and "the outline of opinion interview to teachers about trigonometry study present situation after implementing Grade 1-9 Curriculum" for study tools, for understanding the advanced knowledge and studying achievements of students and the opinions of teachers. The subjects of questionnaire and interview are the first-year students of senior high school in northern Taiwan in 2005 and their mathematics teachers. From the the survey materials, we sum up the differences of trigonometry study situation of senior high school student and the cause of the situation in teachers’’ points of view, and propose relevant improved suggestions further. We expect this research to offer beneficial reference to the revision of the course.

Abstract............................................ ii

1 . 1 研究背景與動機................................. 1
1 . 2 研究目的與問題................................. 2
1 . 3 研究歷程....................................... 2
1 . 4 研究範圍與限制................................. 4

2 . 1 九年一貫課程培養之學生數學能力................. .5
2.1.1 九年一貫數學課程......................... .5
2.1.2 高中數學課程............................. .6
2.1.3 三角函數課程............................. 11
2 . 2 三角函數學習相關研究........................... 13
2.2.1 三角函數概念及錯誤類型研究............... 13
2.2.2 三角函數學習困難之相關原因............... 14

3 . 1 研究方法....................................... 17
3.1.1 內容分析研究法........................... 17
3.1.2 調查研究法............................... 18
3 . 2 研究實施步驟................................... 20
3.2.1 課程內容分析............................. 20
3.2.2 學習現況調查............................. 21

4 . 1 國、高中課程之三角函數相關課題................. 27
4 . 2 高中課程之三角函數單元內容..................... 39

5 . 1 高中生之三角函數學習成就....................... 45
5.1.1 三角函數相關課題之先備能力............... 46
5.1.2 三角函數單元之學習成就................... 48
5.1.3 高一學生在三角函數單元之學習相關性分析... 51
5.1.4 探討..................................... 53
5 . 2 課程規劃....................................... 56
5.2.1 時數..................................... 56
5.2.2 教材..................................... 61
iv
5.2.3 探討..................................... 66
5 . 3 學生表現....................................... 67
5.3.1 學習成就................................. 67
5.3.2 學習態度................................. 73
5.3.3 探討..................................... 78
5 . 4 建議改善方法................................... 79
5.4.1 增加授課時數............................. 79
5.4.2 調整教材編排............................. 82
5.4.3 創新教學方式............................. 85
5.4.4 探討..................................... 87

6 . 1 課程規劃的合宜性............................... 88
6 . 2 學生表現的差異性............................... 89
6 . 3 制度改善的適切性........................... 90

Babbie, E. R.（1973）. Survey research methods. Belmont, CA：Wadsworth.
Borg, W. R. and M. D. Gall（1983）. Educational Research：An Introduction. New York：Longman.
Mouly, G . J. （1978）. Educational research： The art and science of investigation. Boston：Allyn & Bacon.
Robert R. Pagano（1998）. Understanding Statistics in the Behavioral Sciences. Brooks：Cole.
Van Dalen, D. B.（1979）. Educational Research. New York：McGraw-Hill.