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題名 數學焦慮與自我概念對動機與成就中介效果之探討:以PISA 2003香港資料為例
The Mediating Effects of Mathematics Anxiety and Self-concept on the Motiviaion and Achievement: The Hong Kong Case of PISA 2003
作者 韓珮華
Han, Pei Hua
貢獻者 余民寧
Yu, Min Ning
韓珮華
Han, Pei Hua
關鍵詞 內在動機
工具性動機
中介變項
負向壓抑變項
結構方程式模型
intrinsic motivation
instrumental motivation
mediator variable
negative suppressor variable
Structural Equation Modeling(SEM)
日期 2006
上傳時間 17-Sep-2009 15:03:19 (UTC+8)
摘要 近年來,大型資料庫的建制與分析逐漸成為一種教育研究趨勢,本研究即以PISA 2003資料庫為例,目的是建立影響數學成就的結構方程式模型。在評閱相關文獻後,研究者採用內在動機、工具性動機、數學焦慮、自我概念與數學成就等變項,探討之間的影響關係模型。此外,為使本研究所建立的模型具有模型穩定之證據,因此,將有效樣本隨機分割為建模樣本與驗證樣本,進行最終模型的交叉驗證。
據此,本研究首先使用描述性統計以瞭解香港學生的整體表現傾向,其次,透過探索性因素分析確立研究問卷的信效度,最後,以結構方程式模型建立模型並交叉驗證。資料蒐集對象為香港十五歲之在學學生,有效樣本達4,389位。
依據統計分析結果顯示,內在動機與工具性動機對數學成就沒有直接影響效果,但是內在動機與工具性動機透過數學焦慮及自我概念對數學成就產生間接影響,本研究歸納出七點結論茲分述如下:
1.工具性動機較內在動機更為強烈
2.數學焦慮在動機與數學成就間扮演中介變項之性質
3.自我概念在動機與數學成就間扮演中介角色
4.自我概念在數學焦慮與數學成就間扮演中介角色
5.在內在動機、工具性動機與數學焦慮中,工具性動機扮演負向壓抑變項角色
6.在內在動機、工具性動機與自我概念中,工具性動機扮演負向壓抑變項角色
最後,根據研究結果提出各項建議,以供教學實務上及未來研究參考。
Recently, establishing and analyzing databases becomes a trend in the field of education research. This study took PISA 2003 database as an example to create a psychometric model of factors that influence mathematics achievement. Based on the literature review, the researcher decided to put influential factors, including intrinsic motivation, instrumental motivation, mathematics anxiety, self-concept, and mathematics achievement into the model. Afterwards, through cross-validation the present study had verified the model stability.

In the aspect of statistic analysis, the descriptive static shows HK students’ general learning tendency. Moreover, the exploratory factor analysis confirmed the reliability and validity of the questionnaires. Lastly, the structural equation modeling(SEM) was used to set structural model. The valid samples were 4,389 15-year-old students.
According to the results, intrinsic motivation and instrumental motivation had no direct effect on mathematics achievement and had indirect effect through mathematics anxiety and self-concept. The results were summarized as follows:
1.Students had more instrumental motivation than intrinsic one.
2.Mathematics anxiety was a mediator variable between motivations and mathematics achievement.
3.Self-concept was a mediator variable between intrinsic motivations and mathematics achievement.
4.Self-concept was a mediator variable between mathematics anxiety and mathematics achievement.
5.Instrumental motivation was a negative suppressor variable among intrinsic motivation, instrumental motivation, and mathematics anxiety.
6.Instrumental motivation was a negative suppressor variable among intrinsic motivation, instrumental motivation, and self-concept.

Finally, according to the findings, implications and suggestions for teaching of mathematics and future research were discussed.
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描述 碩士
國立政治大學
教育研究所
94152023
95
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0094152023
資料類型 thesis
dc.contributor.advisor 余民寧zh_TW
dc.contributor.advisor Yu, Min Ningen_US
dc.contributor.author (Authors) 韓珮華zh_TW
dc.contributor.author (Authors) Han, Pei Huaen_US
dc.creator (作者) 韓珮華zh_TW
dc.creator (作者) Han, Pei Huaen_US
dc.date (日期) 2006en_US
dc.date.accessioned 17-Sep-2009 15:03:19 (UTC+8)-
dc.date.available 17-Sep-2009 15:03:19 (UTC+8)-
dc.date.issued (上傳時間) 17-Sep-2009 15:03:19 (UTC+8)-
dc.identifier (Other Identifiers) G0094152023en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/32998-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 教育研究所zh_TW
dc.description (描述) 94152023zh_TW
dc.description (描述) 95zh_TW
dc.description.abstract (摘要) 近年來,大型資料庫的建制與分析逐漸成為一種教育研究趨勢,本研究即以PISA 2003資料庫為例,目的是建立影響數學成就的結構方程式模型。在評閱相關文獻後,研究者採用內在動機、工具性動機、數學焦慮、自我概念與數學成就等變項,探討之間的影響關係模型。此外,為使本研究所建立的模型具有模型穩定之證據,因此,將有效樣本隨機分割為建模樣本與驗證樣本,進行最終模型的交叉驗證。
據此,本研究首先使用描述性統計以瞭解香港學生的整體表現傾向,其次,透過探索性因素分析確立研究問卷的信效度,最後,以結構方程式模型建立模型並交叉驗證。資料蒐集對象為香港十五歲之在學學生,有效樣本達4,389位。
依據統計分析結果顯示,內在動機與工具性動機對數學成就沒有直接影響效果,但是內在動機與工具性動機透過數學焦慮及自我概念對數學成就產生間接影響,本研究歸納出七點結論茲分述如下:
1.工具性動機較內在動機更為強烈
2.數學焦慮在動機與數學成就間扮演中介變項之性質
3.自我概念在動機與數學成就間扮演中介角色
4.自我概念在數學焦慮與數學成就間扮演中介角色
5.在內在動機、工具性動機與數學焦慮中,工具性動機扮演負向壓抑變項角色
6.在內在動機、工具性動機與自我概念中,工具性動機扮演負向壓抑變項角色
最後,根據研究結果提出各項建議,以供教學實務上及未來研究參考。
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dc.description.abstract (摘要) Recently, establishing and analyzing databases becomes a trend in the field of education research. This study took PISA 2003 database as an example to create a psychometric model of factors that influence mathematics achievement. Based on the literature review, the researcher decided to put influential factors, including intrinsic motivation, instrumental motivation, mathematics anxiety, self-concept, and mathematics achievement into the model. Afterwards, through cross-validation the present study had verified the model stability.

In the aspect of statistic analysis, the descriptive static shows HK students’ general learning tendency. Moreover, the exploratory factor analysis confirmed the reliability and validity of the questionnaires. Lastly, the structural equation modeling(SEM) was used to set structural model. The valid samples were 4,389 15-year-old students.
According to the results, intrinsic motivation and instrumental motivation had no direct effect on mathematics achievement and had indirect effect through mathematics anxiety and self-concept. The results were summarized as follows:
1.Students had more instrumental motivation than intrinsic one.
2.Mathematics anxiety was a mediator variable between motivations and mathematics achievement.
3.Self-concept was a mediator variable between intrinsic motivations and mathematics achievement.
4.Self-concept was a mediator variable between mathematics anxiety and mathematics achievement.
5.Instrumental motivation was a negative suppressor variable among intrinsic motivation, instrumental motivation, and mathematics anxiety.
6.Instrumental motivation was a negative suppressor variable among intrinsic motivation, instrumental motivation, and self-concept.

Finally, according to the findings, implications and suggestions for teaching of mathematics and future research were discussed.
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dc.description.tableofcontents 第一章 緒論
第一節 動機與目的
第二節 名詞釋義
第二章 文獻探討
第一節 OECD組織與PISA資料庫簡介
第二節 動機的定義及其相關理論
第三節 數學焦慮的定義及其相關理論
第四節 自我概念的定義及其相關理論
第五節 動機、數學焦慮、自我概念與數學成就之關係
第三章 研究設計與實施
第一節 研究架構及假設
第二節 研究樣本與抽樣程序
第三節 研究工具
第四節 實施流程
第五節 資料分析與處理
第六節 模型建構
第七節 模式考驗方法
第四章 研究結果與討論
第一節 香港學生心理特質之現況分析
第二節 動機對數學焦慮、自我概念、數學成就之結構關係模型探索
第三節 機對數學焦慮、自我概念、數學成就之結構關係模型驗證
第四節 綜合討論
第五章 研究結論與建議
第一節 結論
第二節 建議

表次
表2-1 自我決定理論的動機連續面向
表3-1 受試者分配
表3-2 參與抽樣學校分布
表3-3 參與施測學生分布
表3-4 探索性因素分析摘要
表4-1 香港與OECD心理特質對照
表4-2 測量指標之描述統計
表4-3 最終模型之標準化估計參數、標準誤與顯著性考驗
表4-4 整體、比較、精簡適配度指標摘要
表4-5 最終模式之個別信度指標、潛在變項成分信度及變異數平均解釋量摘要
表4-6 嚴格複製策略之交叉驗證效度評鑑指標
表4-7 交叉驗證之評估策略適配度評鑑
表4-8 潛在變項間零階相關
表4-9 建模樣本之因素間效果量
表4-10 模型A潛在變項間相關與路徑係數
表4-11 模型B潛在變項間相關與路徑係數
表4-12 模型C潛在變項間相關與路徑係數
表4-13 模型D潛在變項間相關與路徑係數
表4-14 模型E潛在變項間相關與路徑係數
表4-15 模型F潛在變項間相關與路徑係數
表4-16 模型G潛在變項間相關與路徑係數

圖次
圖2-1 成就動機之期望-價值理論模式
圖2-2 成就動機之期望-價值模式
圖2-3 認知評價理論模式
圖2-4 成就過程素質壓力模式
圖2-5 Cemen數學焦慮反應模式
圖3-1 本研究架構
圖3-2 實施流程
圖3-3 初始模式路徑
圖4-4 中介變項模型
圖4-1 初始模型之標準化參數估計
圖4-2 最終模型之標準化參數估計
圖4-3 嚴格複製策略之標準化參數估計
圖4-4 模型A驗證中介模式之標準化估計參數
圖4-5 模型B驗證中介模式之標準化估計參數
圖4-6 模型C驗證中介模式之標準化估計參數
圖4-7 模型D驗證中介模式之標準化估計參數
圖4-8 模型E驗證中介模式之標準化估計參數
圖4-9 模型F內在動機、工具性動機對數學焦慮影響模型
圖4-10 模型G內在動機、工具性動機對自我概念影響模型
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dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0094152023en_US
dc.subject (關鍵詞) 內在動機zh_TW
dc.subject (關鍵詞) 工具性動機zh_TW
dc.subject (關鍵詞) 中介變項zh_TW
dc.subject (關鍵詞) 負向壓抑變項zh_TW
dc.subject (關鍵詞) 結構方程式模型zh_TW
dc.subject (關鍵詞) intrinsic motivationen_US
dc.subject (關鍵詞) instrumental motivationen_US
dc.subject (關鍵詞) mediator variableen_US
dc.subject (關鍵詞) negative suppressor variableen_US
dc.subject (關鍵詞) Structural Equation Modeling(SEM)en_US
dc.title (題名) 數學焦慮與自我概念對動機與成就中介效果之探討:以PISA 2003香港資料為例zh_TW
dc.title (題名) The Mediating Effects of Mathematics Anxiety and Self-concept on the Motiviaion and Achievement: The Hong Kong Case of PISA 2003en_US
dc.type (資料類型) thesisen
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