- 學位論文
高中三角函數教材之研究
The Research of Trigonometric Function in the High School Mathematic Teaching Material
摘要
摘要 本研究論文的內容主旨是以高中三角函數單元為主題，在文獻方面以三角學的發展歷史為肇始，彙整出高中課程在三角函數方面有關的歷史及三角公式的發展。 培養學生的數學能力一直是數學教師們共同努力的目標，根據數學試題,希望能測出學生是否具有概念性知識、程序性知識及解題能力這三個層面。而教師要明瞭學生的學習經驗，必須採用合適的評量測驗試題，如此教師才能從有效的及有意義的測驗中，了解學生的學習狀況,因此良好的數學評量試題與學生數學能力的檢定是息息相關的。 因為熟練數學的運算或計算程序，才能夠理解數學概念或演算規則的情況下，所進行的純熟操作。這種透過理解並能將觀念與計算結合的能力,才是數學的演算能力。藉由程序試題的開發，經過評量測驗後的分析，教師才能明瞭學生是否已具備某方面的程序性知識。 本文由收集文獻、分析各版本的教材，編輯成為新的教材，提供教師參考,依序分為四個章節: 一、 緒論 二、 文獻探討 三、 整合教材 四、 總結與建議 各種教學模式或是版本都有其優劣，教師應該依照學生程度及學生的學習目標來做適性的選擇;進行三角函數主題教學的時候,最重要的即是利用簡單的圖示開始,循序漸進地加以變化，並用更多元的方式呈現,以致於達成學生最佳的學習效果。
關鍵字
三角函數並列摘要
This research paper content primary intention is take the high school trigonometric function unit as a subject, as initiates in the literature aspect take the trigonometry development history, collects puts in order the high school curriculum in the trigonometric function aspect related history and the triangle formula development. Raises student's mathematics ability always is the goal which mathematics teacher joint effort, according to mathematics test question, hoped can determine the student whether has the concept sexual knowledge, the procedure sexual knowledge and problem solving ability these three stratification planes. But the teacher must understand student's learning experience, must use appropriately comments the quantity examination test question, so the teacher can from effective and has in the significance examination, understands student's study condition, therefore the good mathematics comments the quantity test question and the student mathematics ability examination is closely linked. Because of the skilled mathematics operation or the computational procedure, can understand mathematics concept or in the calculation rule situation, carries on skillful operation. This kind of penetration understanding and can the idea and computation union ability, be mathematics calculation ability. Because of the procedure test question development, after the process comments the quantity examination analysis, the teacher can understand the student whether has had some aspect procedure sexual knowledge. This article by the collection literature, analyzes various editions the teaching material, edits into the new teaching material, provide the teacher to refer, divide into four chapters in order: 1. Introduction 2. Literatures and Review 3. Conformed teaching material 4. Reflection and Conclusion Each kind of educational model perhaps the edition all have its fit and unfit quality, the teacher should defer to the student degree and student's study goal make suitable the choice; Carries on the trigonometric function subject teaching time, most important is the use simple graphical representation start, changes methodically, and presents with a more multi-dimensional way, achieves the student best study effect.