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研究生:王心慧
論文名稱:國小四年級學童在虛擬買賣、非買賣及真實買賣問題的表現比較探討
論文名稱(外文):The effects of problem contexts on mathematics performance for fourth grades
指導教授:林素微林素微引用關係
指導教授(外文):Su-Wei Lin
學位類別:碩士
校院名稱:國立花蓮教育大學
系所名稱:數學系碩士班
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2008
畢業學年度:96
語文別:中文
論文頁數:112
中文關鍵詞:買賣問題數學表現真實情境
外文關鍵詞:money problemmathematics performanceReal situation
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本研究旨在探討國小四年級學童對於三種不同脈絡的解題表現差異探討,研究中以完成國小三年級而且剛開始學習四年級課業並結束第一次段考的100名學童為對象,依據目前已習得的數與計算概念為主軸來進行作業設計,檢視國小四年級的學童在學習過基本的運算能力後,面對這三種不同脈絡下的命題時的解題表現,研究中並進一步檢視不同數學成就的學童在此不同脈絡的解題差異表現。
結果顯示,在數字和解題策略同構的狀態下,不同脈絡對於學生的解題表現影響雖然未達統計上的顯著,但從描述統計上卻呈現了些微的差異,其中買賣問題對學生而言是較能意義內化的,高、低分組在越接近真實的脈絡之表現均較佳,但對於中分組學生而言,虛擬買賣問題與非買賣問題的兩者情境是沒有差異,真實情境則略為薄弱,可能原因在於真實買賣情境的文字陳述較長,對於中分組學生而言,語文的負荷可能是其解題表現較為薄弱的可能原因。
整體而言,教師在企圖提升學生的問題解決能力和數學學習動機時,可以考量與學生生活相關的脈絡進行問題設計,以促進學生對於問題解決的意義內化,提高其解題的表現。
This study aimed to explore the differences of problem-solving performances for different problem contexts for 4th graders. In this study, we focus on the number and operation concepts that have been taught in the third grade curriculum and design 3 context assessments of problem solving. There were 100 4th graders participated in this study.

The results showed that, the contexts were different but the mathematics concepts and problem solving strategies were isomorph, the students showed slightly different performances from descriptive statistics view, but there was no statistical significant, the students performance better on the money situation, especially on the real money situation. Further, considering the mathematics abilities, the highest and lowest achievement students, the real money situation was more sense making for their performance, the second context was virtual money situation, the non-money situation was not as well as money situation. For the middle achievement level students, their performances were different the other two groups.

Based on the results, when the teachers attempt to improve student math problem-solving ability and motivation for learn mathematics, they should consider the sequence of life-related issues for designing the problem-posing , in order to promote the students to solve the problem within the meaning of and enhance their problem-solving performance.
中文摘要 …………………………………………………… i
英文摘要 …………………………………………………… ii
目錄 …………………………………………………… iii
表目錄 …………………………………………………… iv
圖目錄 …………………………………………………… v
第一章 緒論………………………………………………… 1
第一節 研究動機與背景……………………………………… 1
第二節 研究目的與待答問題………………………………… 6
第三節 名詞解釋……………………………………………… 7
第四節 研究範圍與限制……………………………………… 8
第二章 文獻探討……………………………………………… 9
第一節 情境的理論……………………………………………… 9
第二節 數學解題的理論基礎………………………………… 20
第三章 研究方法……………………………………………… 33
第一節 研究架構……………………………………………… 33
第二節 研究樣本……………………………………………… 35
第三節 研究工具……………………………………………… 37
第四節 資料分析……………………………………………… 47
第四章 研究結果與討論……………………………………… 49
第一節 三種脈絡問題解題表現差異…………………………… 49
第二節 全體學生在不同脈絡測驗下的表現差異比較……… 69
第三節 不同數學成就學生在不同脈絡測驗下的表現差異比
較……………………………………………………… 75
第五章 結論與建議…………………………….……………… 79
第一節 結論…………………………………………………… 79
第二節 建議…………………………………………………… 81
參考文獻 …………………………………………………… 83
附錄一 …………………………………………………… 89
附錄二 …………………………………………………… 92
附錄三 …………………………………………………… 93
附錄四 …………………………………………………… 97
附錄五 …………………………………………………… 101
一、中文部分
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施郁芬、陳如琇(1996)。情境脈絡與學習遷移。教學科技與媒體,29,23-31。
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張平東(1989)。國小數學教材教法新論。台北市:五南出版社。
教育部(1993)。國民小學課程標準。台北:教育部。
教育部(2000)。國民中小學九年一貫課程暫行綱要。台北:教育部。
教育部(2003)。九年一貫數學領域課程綱要。台北:教育部。
陳瑞中(2005)。強化連結能力之數學教學對國小學童數學信念與數學能力影響之研究。國立台南大學教育經營與管理研究所碩士論文,未出版,台南市。
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陸昱任(2002)。天啊!誰把小孩變笨了!。師友月刊,415,30-33。
喻平(2002)。數學教育心理學。廣西:廣西教育。
黃敏晃(2003)。人間處處有數學。台北:天下遠見出版。
楊順南(1997)。情境認知教學觀的衝擊與啟用。教育研究雙月刊,56,51-62。
蔡坤憲譯(2006)。怎樣解題。台北市:天下文化。
賴怡君(2002)。生活數學雙簧戲-生活化的數學問題解決教學。師友月刊,415,34-37。
劉秋木(1996)。國小數學科教學研究。台北市:五南。

二、西文部分
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