博碩士論文 985204007 詳細資訊




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姓名 陳蓮儀(Lien-Yi Chen)  查詢紙本館藏   畢業系所 網路學習科技研究所
論文名稱 電腦支援國小數學文字題擬題活動初探
(An initial study of computer-supported problem posing activity in elementary word problems)
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摘要(中) 本研究主旨在於探討將擬題活動(Problem Posing)應用於國小數學文字題(Word Problem),對國小四年級學生情意面與成效面之影響,並探討透過擬題活動後,對於學生數學興趣與解題能力的影響。在設計擬題活動的機制上,研究者參考Cudmore 和English(1998)所提出的擬題與評鑑活動的流程並綜合其他學者所提出的擬題類型,在實驗各階段提供不同擬題刺激物,讓學生以自身生活
經驗結合數學知識進行擬題活動,且利用同儕互評達到評鑑題目之效果,而互評內容則作為學生改善題目時的參考。活動中提供投票機制及上台分享,激發學生的榮譽心與提升自我期許,期望在擬題活動裡有更好的表現。於資料分析部分,研究者透過系統擬題資料、評論資料、活動問卷,與數學文字題測驗評量觀察學生在數學文字題擬題上的表現,以及對於數學的情意面有無提升。
活動結果發現,在數學觀感部分:學生經過擬題活動後,覺得數學文字題變的較簡單,擬題活動對於學生的數學感受及文字題理解能力有所幫助。在解題能力部分:活動對象學生在經過擬題活動後,對於數學文字題的理解題意能力有所提升。擁有感(Ownership)部分:活動對象學生在題目尚未修改前,對於自己所擬的題目有擁有感。而將活動對象學生在進行擬題活動前後所擬的題目相比,
所擬的題目明顯較有結合生活經驗與所學數學知識,題目的長度與內容具有深度與故事性。研究發現透過系統擬題活動,學生所擬的題目品質有提升,且學生認為系統所提供的內容有助於擬題活動。
摘要(英) This research aimed to investigate the influence of applying computer-supported problem posing activity in elementary word problems on fourth grade students’affective aspect and effective aspect, and to explore whether the system could improve students’interest of problm solving and problem solving ability. Researcher refered a statistical problem posing and critiquing activity diagram (Cudmore & English ,1998) to be the design base. The system provided students with different problem posing stimuli at every stage in the entire experiment, then asked students to try combining their life experiences with mathematics knowledge at problem posing stage. Next stage, the system evaluated the posed problems by peer assessment, the comment will help students to improve their problems. And it also have voting mechanism to let students vote the best problem in the group, then that student could share his/her thought with other students. For data analysis, reseacher observed students’ performance and affection through system data, the comments of problems, activity questionnaires, and math word problem solving test.
After the experiment,reseacher found some results. Firstly, students felt that word problems became easier; secondly, the problem posing activity enhance students’ ability of understand what the problem means; thirdly, students really have ownership on their own problems; finally, students’ posed problems quality became
better.
關鍵字(中) ★ 擬題活動
★ 擁有感
★ 擬題
★ 文字題
關鍵字(英) ★ Problem Posing
★ Word problems
★ Ownership
★ Problem Posing Activity
論文目次 目錄
第一章 緒論 ..............................................................................................................................1
1.1 研究背景與動機 .........................................................................................................1
1.2 研究目的 .....................................................................................................................4
1.3 待答問題 .....................................................................................................................4
1.4 研究限制 .....................................................................................................................5
第二章 文獻探討 ......................................................................................................................7
2.1 擬題 .............................................................................................................................7
2.1.1 擬題之意涵及重要性 ..........................................................................................8
2.1.2 擬題教學歷程 ................................................................................................... 12
2.1.3 擬題之類型 ....................................................................................................... 17
2.1.4 擬題活動 ........................................................................................................... 28
2.1.5 擬題相關因素 ................................................................................................... 34
2.2 擁有感 ...................................................................................................................... 35
2.2.1 擁有感定義 ....................................................................................................... 35
2.2.2 擁有感的來源與動機 ....................................................................................... 37
2.3 解題能力 .................................................................................................................. 38
2.3.1 數學題目及解題意義 ....................................................................................... 38
2.3.2 解題歷程 ........................................................................................................... 40
2.4 小結 .......................................................................................................................... 42
第三章 系統設計 ................................................................................................................... 43
3.1 系統設計理念 .......................................................................................................... 43
3.1.1 學生方面 ........................................................................................................... 43
3.1.2 教師方面 ........................................................................................................... 47
3.2 系統環境架構 .......................................................................................................... 48
3.2.1 系統架構 ........................................................................................................... 49
3.2.2 系統運作流程 ................................................................................................... 51
3.3 系統功能、流程與介面 .......................................................................................... 52
3.3.1 系統功能、流程 ............................................................................................... 53
3.3.2 系統介面介紹 ................................................................................................... 61
第四章 活動設計 ............................................................................................... 69
4.1 擬題活動目的 .......................................................................................................... 69
4.2 研究方法 .................................................................................................................. 70
4.2.1 研究對象 ........................................................................................................... 70
4.2.2 活動時間 ........................................................................................................... 70
4.2.3 活動流程 ........................................................................................................... 70
4.3 實驗本活動使用之工具 .......................................................................................... 74
第五章 資料分析與結果 ....................................................................................................... 81
5.1 學生數學背景資料觀感收集分析 .......................................................................... 81
5.2 解題能力資料分析 .................................................................................................. 82
5.3 擁有感資料分析 ...................................................................................................... 83
5.4 活動感受資料收集 .................................................................................................. 85
5.5 素材影響資料收集 .................................................................................................. 86
5.6 擬題系統題目節錄 .................................................................................................. 87
5.6.1 學生擬題前後之題目差異比較 ....................................................................... 87
5.6.2 學生擬題特殊題目摘錄 ................................................................................... 89
5.7 擬題活動訪談及問卷感想摘錄資料 ...................................................................... 92
5.7.1 學生與教師訪談摘錄 ....................................................................................... 92
5.7.2 擬題及同儕互評感想摘錄 ............................................................................... 95
5.7.3 擬題感想摘錄 ................................................................................................... 96
第六章 結論與未來展望 ....................................................................................................... 99
6.1 結論 .......................................................................................................................... 99
6.2 未來展望 ................................................................................................................ 101
參考文獻 ............................................................................................................................... 103
英文文獻 ...................................................................................................................... 103
中文文獻 ...................................................................................................................... 111
附錄 ...................................................................................................................................... 115
附錄一 數學解題詴卷(預先測驗卷) .................................................................. 115
附錄二 數學擬題詴卷(預先測驗卷) .................................................................. 116
附錄三 活動問卷 ...................................................................................................... 117
附錄四 後測及應用題理解測驗卷(活動對象使用) .......................................... 120
附錄五 訪談題綱 ...................................................................................................... 123
圖目錄
圖2-1 擬題步驟圖 ................................................................................................................. 13
圖2-2 學生擬題行為過程 ..................................................................................................... 14
圖2-3 擬題階段與評題活動 ................................................................................................. 15
圖2-4 圖表類範例題目 ......................................................................................................... 23
圖2-5 題目類範例題目 ......................................................................................................... 24
圖2-6 圖片情境素材 ............................................................................................................. 25
圖2-7 圖片情境與數學語言素材1 ...................................................................................... 25
圖2-8 圖片情境與數學語言素材2 ...................................................................................... 26
圖2-9 Bonotto 之圖片範例 ................................................................................................ 33
圖3-1 系統環境架構圖 .......................................................................................................... 48
圖3-2 系統架構圖 .................................................................................................................. 50
圖3-3 系統運作流程圖 .......................................................................................................... 52
圖3-4 Use Case Diagram ......................................................................................................... 53
圖3-5 擬題Diagram ............................................................................................................... 54
圖3-6 擬題階段活動流程 ...................................................................................................... 55
圖3-7 答題Diagram ............................................................................................................... 56
圖3-8 評題Diagram ............................................................................................................... 56
圖3-9 答評題階段活動流程 .................................................................................................. 57
圖3-10 題目管理Diagram .................................................................................................... 58
圖3-11 題目管理階段活動流程 ........................................................................................... 59
圖3-12 課堂監控Diagram .................................................................................................... 60
圖3-13 選題分享Diagram .................................................................................................... 61
圖3-14 系統登入介面 ............................................................................................................ 62
圖3-15 系統擬題介面 ............................................................................................................ 63
圖3-16 同儕評論介面 ........................................................................................................... 65
圖3-17 同儕評論介面-評分表 ............................................................................................. 65
圖3-18 題目管理的頁面 ....................................................................................................... 66
圖3-19 根據評論修改題目之系統畫面 ............................................................................... 67
圖3-20 分享選題控介面圖 ................................................................................................... 68
圖4-1 擬題活動流程圖 ......................................................................................................... 71
圖4-2 學生上台分享 ............................................................................................................. 73
圖4-3 老師講評 ..................................................................................................................... 74
圖4-4 同學給予建議 ............................................................................................................. 75
圖4-5「理解題意」之題目範例 ........................................................................................... 78
圖4-6「判斷多餘資訊」之題目範例 ................................................................................... 79
圖4-7「列式」之題目範例 ................................................................................................... 79
圖4-8「複雜問題」之題目範例 ........................................................................................... 79
圖5-1 包含未知數的計算題目 ............................................................................................. 90
圖5-2 混合日常生活經驗的題型 ......................................................................................... 90
圖5-3 「時間」相關的題型 ................................................................................................. 91
圖5-4 「速率」概念及單位轉換的題型 ............................................................................. 92
表目錄
表2-1 擬題素材整理對照表 ................................................................................................. 22
表2-2 擬題分類 ..................................................................................................................... 29
表5-1 活動對象之數學觀感 .................................................................................................. 82
表5-2 實驗組與對照組之活動學生出題擬題經驗統 .......................................................... 82
表5-3 解題能力資料統計 ...................................................................................................... 83
表5-4 出題擁有感之評分百分比 .......................................................................................... 84
表5-5 活動感受資料收集 ..................................................................................................... 85
表5-6 素材影響資料收集 ..................................................................................................... 86
表5-7 學生出題信心 ............................................................................................................. 87
參考文獻 參考文獻
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二、中文文獻
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指導教授 陳德懷(Tak-Wai Chan) 審核日期 2011-8-29
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