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研究生:莊璧華
研究生(外文):Pi-Hua Chuang
論文名稱:數學寫作活動對國中學生數學解題能力影響之研究
論文名稱(外文):The effects of mathematical writing on problem solving of junior high school students
指導教授:張郁雯張郁雯引用關係
學位類別:碩士
校院名稱:國立台北師範學院
系所名稱:國民教育學系碩士班
學門:教育學門
學類:教育行政學類
論文種類:學術論文
論文出版年:2005
畢業學年度:93
語文別:中文
中文關鍵詞:數學寫作、解題能力、性別差異、數學能力、數學態度
外文關鍵詞:mathematical writing、problem solving ability、sex difference、mathematical aptitudes、mathematical attitude
相關次數:
  • 被引用被引用:28
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  • 收藏至我的研究室書目清單書目收藏:15
本研究目的為探討數學寫作活動對國中學生數學解題能力的影響。透過數學寫作與數學解題歷程相關文獻的分析,並以實驗研究法的方式對國中一年級的學生施以數學寫作活動。本研究中的數學寫作活動方案乃是將三種數學寫作活動:「數學交換日記」、「寫作提示」、「反省高手」融入日常數學課中,以台北縣三和國中兩班一年級學生共78名為實驗對象,其中實驗組39人,接受「數學寫作融入數學教學方案」;控制組39人,接受「一般傳統數學教學」;兩組皆由研究者擔任教學者。兩組學生在分別經過五個月的實驗處理後,以「國中智力測驗(第三種)數學分數」為共變項,以「國中一年級學生數學解題歷程測驗」得分為後測成績,進行共變數分析來考驗研究假設,另以自編之「數學態度開放式問卷」對兩組進行問卷調查,以瞭解國中學生對數學寫作活動的支持程度及其數學態度改變情形。以下是本研究的重要發現:一、數學寫作活動融入教學,對於提升國中學生數學解題能力效果顯著。二、數學寫作活動融入教學,對國中學生在解題歷程中的「瞭解問題」、「擬定計畫」此二階段的影響並不顯著,而對「執行解題」與「回顧檢討」二階段則有顯著提升效果。三、數學寫作活動融入教學的方式對於提升女生解題能力的效果顯著。在男生方面則無顯著提升效果。四、數學寫作活動融入教學對不同數學能力學生之數學解題能力影響沒有差異。五、學生對數學寫作活動普遍呈正向支持的態度。六、實驗組的學生認為數學寫作活動對其語文能力及數學成績有幫助。
The purpose of this study was to investigate the effects of mathematical writing on problem solving. Based on literature review on mathematical writing and problem solving processes, an experimental research with implementation of mathematical writing activities for 7th graders was conducted. Three kinds of mathematical writing activities: math exchange journals, writing prompts, and introspective experts were used. The subjects were comprised of 78 students from two classes at San-Ho Junior High School located in Taipei County. “Integrated mathematical writing curriculum” and traditional mathematical curriculum were administered to a treatment and a control group separately. Each group consisted of 39 subjects. Both classes were taught by the author for five months. An ANOCOVA analysis on the performances on “7th grader mathematical problem solving test” was carried out with score on junior high school mathematical intelligence scale (version III) as a covariate. In addition, students’ responses on mathematical attitude survey were collected to assess students’ attitudes toward mathematical writing and math. The results found as followings: 1. Mathematical writing integrated instruction significantly improved students’ problem solving ability. 2. The improvement was evident in two of the four problem solving processes: process of solving operation and of evaluative discussion, though there was no difference between two groups in the process of problem understanding and of approach planning. 3. Sex difference was found in the effects of mathematical writing on problem solving. There was a noticeable effect for female student, but no improvement for male students. 4 The effects of mathematical writing on problem solving were the same for students of different mathematical aptitudes 5. Students’ attitude toward mathematical writing was generally positive. 6. Students in experimental group felt mathematical writing activities could improve their math score as well as language express ability.
目錄
中文摘要………………………………………………………………Ⅰ
英文摘要………………………………………………………………Ⅱ
目錄……………………………………………………………………Ⅳ
表目錄…………………………………………………………………Ⅶ
圖目錄…………………………………………………………………Ⅸ

第一章 緒論
第一節 研究動機…………………………………………………1
第二節 研究目的與待答問題……………………………………5
第三節 研究假設…………………………………………………6
第四節 名詞釋義…………………………………………………7
第二章 文獻探討
第一節 數學寫作…………………………………………………9
第二節 數學解題歷程……………………………………………26
第三節 數學寫作與數學解題……………………………………35
第三章 研 究設計與實施
第一節 研究對象…………………………………………………42
第二節 研究設計…………………………………………………43
第三節 實施程序…………………………………………………45
第四節 試題分析…………………………………………………57
第五節 資料處理…………………………………………………61
第四章 研究結果分析
第一節 數學寫作活動對解題能力影響之分析…………………62
第二節 數學寫作活動對不同性別學生解題能力影響之分析…67
第三節 數學寫作活動對不同數學能力學生解題能力影響之分析…………………………………………………………69
第四節 學生對數學的態度分析…………………………………71
第五章 討論
第一節 數學寫作活動對解題能力影響之分析…………………79
第二節 數學寫作活動對不同性別學生解題能力影響之分析…84
第三節 學生對數學的態度分析…………………………………87
第六章 結論與建議
第一節 結論………………………………………………………91
第二節 檢討與建議………………………………………………93
參考文獻
一、中文部分…………………………………………………………99
二、西文部份…………………………………………………………103
附錄
附錄一:數學交換日記………………………………………………111
附錄二:數學寫作提示與反省高手…………………………………114
附錄三:數學寫作訓練課程…………………………………………117
附錄四:國中一年級學生數學解題歷程測驗………………………122
附錄五:解題歷程測驗評分標準及評分範例………………………135
附錄六:數學態度開放式問卷(實驗組)…………………………139
附錄七:數學態度開放式問卷(控制組)…………………………141
附錄八:樣本資料之分析……………………………………………143
附錄九:學生之寫作作業……………………………………………148
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