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    Title: 高中物理教科書之數學工具分析 : 以靜力學單元為例
    Other Titles: Analysis of mathematical tools in senior high school physics textbooks : the statics unit as an example
    Authors: 高美琴;Kao, Mei-Chan
    Contributors: 淡江大學中等學校教師在職進修數學教學碩士學位班
    張英傑;李武炎;Chang, Ing-Jye;Lee, Wu-Yen
    Keywords: 教科書;教材結構;靜力學;數學工具;Mathematical tools;Statics unit;Textbooks;teaching material structure
    Date: 2013
    Issue Date: 2014-01-23 13:49:38 (UTC+8)
    Abstract: 本研究的目的是要呈現高中物理教科書中靜力學單元之教材結構,以範例題輔助了解在物理教科書中數學工具的使用情形,將所使用之數學工具對照高中數學課綱安排情形。本研究以概念圖為工具,對現有高中物理教科書99學年度甲、乙、丙三個版本之靜力學單元進行內容分析,其研究結果發現,各版本靜力學教材結構之概念的呈現順序、內容有些不同,但都是依循99課綱的順序,其共同概念數約佔靜力學單元相關概念的百分之七十;在各版本靜力學單元之數學工具大致相同,有比例關係、畢氏定理、代數、三角函數、向量,然各版使用之數學工具仍有深淺差異,且各版對數學工具之相關知識內容的說明也不同;靜力學單元安排於高二上物理課程,其使用之數學工具與數學課綱對應情形,關於比例關係、畢氏定理屬於國中數學課程範圍;代數之Σ符號則為高一下數學課程單元;三角函數、向量則為高二上數學課程單元,然部分三角函數的知識是高三上的數學課程。最後依據研究結果分別對教材內容、教科書的編纂及使用與未來研究提供相關建議以供參考。
    The main purpose of this study is to figure out the teaching material structure which is checked againt the Curriculum Guideline issued by the Ministry of Education (MOE) in 2009 and to analyze the representation statics unit in three versions of senior high physics textbooks, as well as to render the using of the mathematical signs when they are presented. With the tools of concept map , content analysis is applied to the teaching materials of three existing versions used in senior high physics textbooks. The findings of this study : There are some sequence differences of concept among different versions of statics unit materials, but they are consistant with the mapping in the Curriculum Guideline 2009. The amount of the common concepts comprises about 70 percent of the senior high statics unit concepts. In the teaching materials of statics unit , all the three versions primarily use the mathematical signs of Proportional relationship, Pythagorean Theorem, Algebra, Trigonometric function and Vector. Each version of using math signs were shows difference in depth in calculation. The statics unit is scheduled in the physics courses in the first term of Grade 11, which adopts many mathematical signs corresponding to the Curriculum Guideline, such as the Proportional relationship and Pythagorean Theorem in the math courses at junior high, the Algebra of Σ signs in the second term in grade 10 , the Trigonometric Function and Vector in the first term in grade 11. But part of the material of Trigonometric Function is in the first term in grade 12. Finally, the findings of this study as suggestions are made for the reference of textbook compilers, users and researchers.
    Appears in Collections:[數學學系暨研究所] 學位論文

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