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研究生: 邱品勳
Chiu, Pin-Hsun
論文名稱: 錯題訂正策略融入國小數學課程之學習成效影響
Effects of Error Correction Strategies on Elementary School Students' Mathematics Learning
指導教授: 于富雲
Yu, Fu-Yun
學位類別: 碩士
Master
系所名稱: 社會科學院 - 教育研究所
Institute of Education
論文出版年: 2024
畢業學年度: 112
語文別: 中文
論文頁數: 224
中文關鍵詞: 錯題訂正教師錯題訂正學生自我錯題訂正學習成效國小數學
外文關鍵詞: Error correction, Teacher correction, Self-correction, Learning outcomes, Elementary school mathematics
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  • 本研究旨在探討相對於傳統訂正,錯題訂正策略融入國小數學課程之學習成效影響,包括數學學業成就、數學焦慮、數學信心、訂正看法與習慣、數學學習想法以及訂正想法。本研究以臺南市某一所國小六年级共五個班级為樣本(N=107),採前後測控制組準實驗研究法設計,隨機分配教師錯題訂正實驗組、學生自我錯題訂正實驗組以及傳統訂正對照組,進行為期九週的實驗教學研究(含前後測及訓練課程)。測驗工具包括數學學業成就測驗、PISA數學焦慮量表、TIMSS數學信心量表、訂正看法與習慣問卷以及繪圖問卷。以數學學業成就、數學焦慮、數學信心、訂正看法與習慣資料進行單因子共變數分析以及單因子變異數分析,對數學學習的想法以及對訂正的想法則採用繪圖分析。研究主要發現可以分為兩個部分,量化分析結果為三組學生(教師錯題訂正組、學生自我錯題訂正組、傳統訂正組)在數學學業成就、數學焦慮、數學信心、訂正看法與習慣的消極訂正習慣、訂正看法上沒有顯著差異,積極訂正習慣學生自我錯題訂正組顯著優於教師錯題訂正組以及傳統訂正組,教師錯題訂正組以及傳統訂正組之間沒有顯著差異;繪圖分析結果發現,相較於傳統訂正組,教師錯題訂正組、學生自我錯題訂正組在數學學習想法方面正向態度有所提升。訂正想法方面,教師錯題訂正組、學生自我錯題訂正組相較於傳統訂正組正面態度有所提升,且負面態度降低。學生自我錯題訂正組在數學學習想法方面自主性的提升較教師錯題訂正組以及傳統訂正組多。

    This study aims to explore the impact of error correction strategies integrated into elementary school mathematics curriculum on learning outcomes, comparing teacher correction and self-correction to traditional correction methods. The specific areas of focus include mathematical achievement, math anxiety, math confidence, attitudes and habits toward correction, and perspectives on math learning and error correction.The sample consisted of 107 sixth-grade students from five classes at an elementary school in Tainan. A quasi-experimental design with pre- and post-tests was employed, including a control group and experimental groups with randomly assigned teachers and students. The experimental groups included a teacher correction group and a self-correction group, while the control group followed traditional correction methods. The experiment lasted nine weeks, including pre- and post-tests and training sessions. Assessment tools included a Mathematics Achievement Test, PISA Math Anxiety Scale, TIMSS Math Confidence Scale, Attitudes and Habits Toward Correction Questionnaire, and a Drawing Questionnaire.
    Data analysis involved one-way ANCOVA and ANOVA on variables such as mathematical achievement, math anxiety, math confidence, and attitudes and habits toward correction. Drawing analysis was used to assess students' thoughts on math learning and error correction. The main findings of the study can be divided into two parts. Quantitative analysis yielded three groups of students (teacher-error correction group, self-error correction group, traditional correction group). There were no significant differences among the groups in terms of mathematical achievement, mathematical anxiety, mathematical confidence, negative attitudes towards correction habits, and correction views. However, students in the self-error correction group demonstrated significantly better correction habits compared to those in the teacher-error correction group and the traditional correction group. There were no significant differences between the teacher-error correction group and the traditional correction group.
    Graphical analysis revealed that, compared to the traditional correction group, both the teacher-error correction group and the self-error correction group showed improved positive attitudes towards mathematical learning ideas. Regarding correction views, both the teacher-error correction group and the self-error correction group showed increased positive attitudes and decreased negative attitudes compared to the traditional correction group. The self-error correction group showed greater improvement in autonomy in mathematical learning ideas compared to both the teacher-error correction group and the traditional correction group.

    中文摘要I Abstract II 表目錄 XIII 圖目錄 XV 第壹章、緒論1 第一節、研究動機1 第二節、研究目的與待答問題9 第三節、研究貢獻10 第四節、名詞釋義10 第貳章、文獻探討13 第一節、臺灣數學教育概況13 第二節、錯題訂正策略之意義、重要性、功能、教學步驟與實徵研究14 第三節、訂正策略融入數學教育的理論基礎27 第參章、研究方法33 第一節、研究假設33 第二節、研究對象34 第三節、研究設計35 第四節、教學活動設計38 第五節、研究工具40 第六節、資料分析48 第肆章 研究結果 54 第一節 數學學業成就結果 54 第二節 數學焦慮研究結果 56 第三節 數學信心研究結果 59 第四節 訂正看法與習慣研究結果 61 第五節 學生數學學習想法研究結果 68 第六節 學生訂正想法研究結果 84 第七節 小結 99 第伍章 討論與建議 101 第一節 不同錯題訂正策略對數學學業成就的影響 101 第二節 不同錯題訂正策略對數學焦慮的影響 103 第三節 不同錯題訂正策略對數學信心的影響 104 第四節 不同錯題訂正策略對訂正看法與習慣的影響 105 第五節 不同錯題訂正策略對學生數學學習想法的影響 106 第六節 不同錯題訂正策略對學生訂正想法的影響 110 第七節 結論 113 第八節 建議 115 中文參考文獻 117 外文參考文獻 120 附錄 130 附錄一、實徵研究整理表 130 附錄二、教師錯題訂正組課堂學習單 132 附錄三、學生自我錯題訂正組課堂學習單 146 附錄四、傳統訂正組課堂學習單 160 附錄五、訂正訓練課程簡報-教師錯題訂正組 175 附錄六、訂正訓練課程簡報-學生自我錯題訂正組 180 附錄七、數學學業成就前測 192 附錄八、數學學業成就後測 196 附錄九、數學焦慮問卷-反翻譯對照表 200 附錄十、數學焦慮量表 201 附錄十一、數學信心量表-反翻譯對照表 202 附錄十二、數學信心量表- 203 附錄十三、訂正看法與習慣問卷 204 附錄十四、繪圖問卷 205

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