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研究生: 林翊峰
Lin, Yi-Fong
論文名稱: 探討不同性別高中生的成功期望、任務價值與數學素養表現:以三角比為例
Exploring the Relationship between Expectation of Success, Task Value, and Mathematical Literacy Performance among High School Students of Different Genders: A Case Study of Trigonometric Ratios.
指導教授: 楊凱琳
Yang, Kai-Lin
口試委員: 楊凱琳
Yang, Kai-Lin
左台益
Tso, Tai-Yih
鄭英豪
Cheng, Ying-Hao
口試日期: 2024/06/13
學位類別: 碩士
Master
系所名稱: 數學系
Department of Mathematics
論文出版年: 2024
畢業學年度: 112
語文別: 中文
論文頁數: 192
中文關鍵詞: 數學素養數學素養表現數學素養題期望價值成功期望任務價值
研究方法: 實驗設計法
DOI URL: http://doi.org/10.6345/NTNU202400676
論文種類: 學術論文
相關次數: 點閱:302下載:45
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  • 本研究探討高中生解數學素養題的成功期望與任務價值的潛在類型及性別在各潛在類型的差異,以及比較不同潛在類型的數學素養表現。同時,也探討不同性別高中生的成功期望及任務價值與數學素養表現之間的關聯性。為了達成研究目的並回答研究問題,本研究針對普通高級中學一年級的三角比學習內容開發數學素養題以評量數學素養表現,並設計李克特4點量表的期望價值問卷,以測量學生對於解數學素養題的成功期望與任務價值。而本研究對普通高級中學二年級與三年級共220位男性學生、175位女性學生進行施測,共獲得216個男性有效樣本與175個女性有效樣本。本研究採用多群組潛在剖面分析(Multiple group Latent Profile Analysis, MgLPA)探討男女學生對於成功期望與任務價值的潛在類型恆等性,並以多組獨立樣本無母數分析(Kruskal-Wallis H test)針對所獲得的各潛在類型,比較各潛在類型之間數學素養表現的差異性。另外,本研究也採用多群組結構方程模型(Multiple group Structural Equation Model, MgSEM)探討男女學生在成功期望及任務價值與數學素養表現之間結構關係的恆等性,並以結構方程模型(Structural Equation Model, SEM)探討結構關係。研究結果顯示:(1)針對成功期望與任務價值的潛在類型,男性可分為低動機組與高動機組,女性則可分為低動機組、中動機組與高動機組;(2)男性的低動機組與高動機組在數學素養表現未達顯著差異,而女性的中動機組與高動機組在數學素養表現皆顯著高於低動機組;(3)全體學生的成功期望對數學素養表現有直接且正向的影響,而任務價值對數學素養表現無直接影響,但會透過成功期望有間接影響。本研究建議現職教師可參考本研究所開發之數學素養題,設計提升數學素養表現的教學活動。針對教學活動施行細節,(1)可根據潛在類型進行分組,針對不同組別學生而有不同的教學策略;(2)可關注低程度期望價值的女性學生,提供解數學素養題相應的輔導與諮詢;(3)設計提升學生解數學素養題自信心與價值的教學活動,以提高學生的數學素養表現。

    誌謝 i 摘要 ii 目錄 iii 表目錄 v 圖目錄 vii 第一章 緒論 1 第一節 研究背景 1 第二節 研究動機 5 第三節 研究目的與問題 9 第四節 名詞釋義 10 第二章 文獻探討 12 第一節 數學素養與數學素養題 12 第二節 期望價值理論 19 第三節 性別、期望價值理論與數學學習相關實徵研究 25 第四節 數學素養題命題 32 第三章 研究方法 37 第一節 研究架構與研究設計 37 第二節 研究對象 45 第三節 研究工具 47 第四節 研究流程 79 第五節 資料分析 83 第四章 研究結果 109 第一節 成功期望與任務價值的潛在類型與各潛在類型的數學素養表現差異 109 第二節 成功期望、任務價值與數學素養表現之間的結構關係 119 第五章 研究結論與建議 125 第一節 研究結論與討論 125 第二節 研究建議與研究限制 129 第三節 數學素養題的命題步驟 133 參考文獻 149 附錄一 三角比素養題情意問卷(前導) 155 附錄二 三角比素養題作答問卷(前導) 165 附錄三 三角比素養題情意問卷 175 附錄四 三角比素養題第一份解題問卷 182 附錄五 三角比素養題第二份解題問卷 185 附錄六 三角比素養題第三份解題問卷 188 附錄七 三角比素養題學生版測驗須知 191 附錄八 知情同意書 192

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