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研究生: 張巧倪
Chang, Chiao-Ni
論文名稱: 一元二次多項式配方法之數位學習環境設計與實作
指導教授: 左台益
Tso, Tai-Yih
學位類別: 碩士
Master
系所名稱: 數學系
Department of Mathematics
論文出版年: 2013
畢業學年度: 101
語文別: 中文
論文頁數: 137
中文關鍵詞: 配方法數位學習過程性技能結構性概念
英文關鍵詞: completing the square, digital learning, process, structural
論文種類: 學術論文
相關次數: 點閱:160下載:24
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  • 本研究目的在設計與實作配方法的數位學習環境,並探討使用不同數位學習環境下,學生自學效果之影響。實驗之操弄變項有兩個維度,分別為操作方式(觸控VS滑鼠)和教學指引(口說指引VS文字指引)。透過上述操弄變項分為四個實驗組,以檢驗不同數位學習環境下的學習效果。共81位八年級生參與此研究。本研究結果為量化分析和實作成品,其量化分析結果如下:
    一、初學配方法或低程度的學生使用觸控操作,較有助於學習配方法之過程性技能,幫助學生強化心智表徵與外在表徵的鏈結。
    二、已學過配方法或高程度的學生使用滑鼠操作,較有助於學習配方法之過程性技能和結構性概念。這些學生不需特別使用觸控操作建立過程性技能,相對的,學生使用滑鼠操作可更進一步的建立結構性概念。
    三、低程度學生使用口說指引教學,較有助於學習配方法之過程性技能,降低學生無關的認知負荷,並產生有效的認知負荷。
    四、高程度學生使用文字指引教學,較有助於學習配方法之過程性技能和結構性概念。這些學生除了有配方法之過程性技能,還可透過文句之前後脈絡,進一步建立結構性概念。
    由上述結果可以得知,本研究設計之數位學習環境皆能幫助學生學習配方法。然而,如何讓低程度學生有結構性概念,而不只停留在過程性技能,還需要加入有效的教學策略,才能促使學生運用表徵做更深層的思考和互動,方能在配方法的數位學習環境中整合過程性技能與結構性概念。

    壹、 緒論 1 第一節  研究背景 1 第二節 研究目的與問題 4 貳、 文獻探討 4 第一節 數學概念與學習 5 第二節 多媒體學習與設計原則 17 第三節 虛擬教具與觸控科技 23 參、 研究方法 25 第一節 研究設計 25 第二節 研究對象 29 第三節 研究工具 31 第四節 研究步驟 44 第五節 研究限制 45 肆、 結果與討論 46 第一節 數位學習環境實作成果 46 第二節 使用觸控或滑鼠對學生學習之影響 75 第三節 口說指引與文字指引對學生學習之影響 83 第四節 操作與指引方式不同的學習環境對學生學習之影響 92 伍、 結論與建議 104 第一節 結論 104 第二節 建議 105 參考文獻 107 附錄 111 附錄一 完全平方公式測驗 111 附錄二 學習軟體感受問卷 113 附錄三 配方法測驗 115 附錄四 教學指引內容一覽表 117 附錄五 學生使用數位學習環境之流程圖 131 附錄六 學生操作數位學習環境之回饋 131

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