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研究生:呂鳳琳
研究生(外文):Lu, Feng-Lin
論文名稱:可學習數學電子教科書之發展與效用:以數學素養教材為導向
指導教授:左台益
指導教授(外文):Tso, Tai-Yih
學位類別:博士
校院名稱:國立臺灣師範大學
系所名稱:數學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2019
畢業學年度:107
語文別:中文
論文頁數:223
中文關鍵詞:可學習數學教材數學素養導向數學電子教科書數學學習感受
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本研究旨在發展數學素養導向之可學習電子教科書,並透過實徵研究來瞭解此電子教科書對學生的數學學習成效與數學學習感受之影響。研究主要分成電子教科書原型實作與實徵研究兩階段進行。在第一階段,研究者從知識的結構脈絡與知識內容的呈現兩個面向來發展可學習的數學電子教科書原型。在第二階段主要是採取前實驗研究設計或準實驗研究設計來檢驗與瞭解電子教科書對學生的數學學習成效與數學學習感受之效果與影響。本研究結果顯示具動態探索操作的數學電子教科書可供學生進行自主學習,並進一步建構數學知識與發展數學素養之中介平台,以及作為十二年國教數學素養導向課程設計與教學評量之參考。
第壹章 緒論 1
第一節 研究背景與研究動機 2
第二節 研究目的與研究問題 4

第貳章 理論基礎與文獻探討 5
第一節 數學素養的意涵與相關理論架構 5
第二節 數學物件的形成與展現 9
第三節 數學物件的認知困難 15
第四節 自主學習的意涵及相關理論與研究 18
第五節 數學素養導向可學習電子教科書之理論架構 20

第叁章 可學習數學電子教科書之設計與實作 27
第一節 電子教科書的發展與應用 27
第二節 可學習數學電子教科書組件之理論基礎 32
第三節 可學習數學素養導向電子教科書內容之設計構念 38
第四節 可學習數學電子教科書之原型實作及其特色 39

第肆章 研究方法 45
第一節 實驗一之研究方法 45
第二節 實驗二之研究方法 51
第三節 實驗三之研究方法 56
第四節 實驗四之研究方法 61

第伍章 研究結果與討論 67
第一節 實驗一:數學文本型態對學生學習函數概念之影響 67
第二節 實驗二:數學文本型態與教學策略對學習線型函數之影響 79
第三節 實驗三:電子教科書對學生自學線型函數應用問題之影響 85
第四節 實驗四:電子教科書之操弄形式對理解幾何證明之影響 93

第陸章 結論與建議 103
第一節 結論 103
第二節 建議 104

參考文獻 105
中文部分 105
英文部分 105

附件一 實驗一學習素材 111
附件二 實驗一後測 126
附件三 數學學習感受問卷 129
附件四 實驗二學習素材(探索版) 130
附件五 實驗二學習素材(範例版) 149
附件六 實驗二後測 178
附件七 實驗三學習素材 181
附件八 實驗三後測 196
附件九 實驗四學習素材 199
附件十 實驗四前測 212
附件十一 實驗四後測 218
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左台益(2014)。數學數位學習工具:動態幾何微世界。左台益、吳昭容(主編)。數學數位學習(頁229-258)。臺北市:高等教育。
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