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研究生: 林淑玲
論文名稱: 國小數學學習障礙學生對比較類加減應用題解題表徵之研究
指導教授: 陳美芳
學位類別: 碩士
Master
系所名稱: 特殊教育學系
Department of Special Education
畢業學年度: 87
語文別: 中文
論文頁數: 167
中文關鍵詞: 數學學習障礙比較類加減應用題解題表徵表徵提示
英文關鍵詞: mathematics learning disabilities, addtion and subtraction compare problem, problem solving representation, representation promotion
論文種類: 學術論文
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  • 本研究的主要目的在探討國小數學學障學生在解差異量未知、被比較量未知、與參照量未知等三種比較類加減應用題的解題表徵正確率、所應用的解題表徵類型,以及產生的解題表徵困難。
    本研究利用「比較類加減應用題測驗」進行施測,在施測完畢後,隨即應用「解題表徵晤談記錄表」對學生進行晤談;若學生解題表徵有誤,並以表徵提示給予學生解題協助,期使學生可訂正錯誤表徵方式。本研究對象為目前就讀於台北市7所國小身心障礙資源班3、4年級的數學學障學生,共有25名。25名學生在「國民小學低年級數學診斷測驗」的原始得分,都在該測驗19分的切截點以下。
    本研究的資料分析是將25名學生的測驗結果、記錄表內容與錄影所得資料,進行量化與質化的分析。本研究以百分比呈現學生的解題表徵正確率、解題表徵類型,並根據學生的晤談書面資料與行為表現,加以歸納分析,陳列出學生的解題表徵困難類型。
    本研究結果發現:(1)學生首次的解題表徵正確率,由高而低為被比較量未知題、差異量未知型與參照量未知題,但若排除解題表徵正確,但解題表徵歷程說明有誤,或無法說明解題表徵歷程者,則解題表徵的正確率,則以差異量未知題最高。(2)學生在比較類加減應用題的解題表徵類型,使用「書寫符號」的類型佔94%以上,至於在解題表徵提示的提示效果上,必須將數學學障學生的解題經驗從文字題的形式中,帶至親身經驗與角色扮演的表徵方式中,方能更正錯誤的解題表徵形式。(3)數學學障學生在比較類加減應用題中,出現解題表徵困難最多的是在解題表徵中「理解」階段,其中尤其以「關鍵字解題」的表徵困難類型居多。
    根據上述結果,本研究對數學學障學生在數學解題教學與評量及未來相關研究提出數點建議。

    The main purpose of this study was to investigate problem solving representation of addition and subtraction compare word problem on elementary students with mathematics learning disabilities .The problem solving accurate percentage、the problem solving representation types and problem solving representation difficulties were analyzed in the study. 25 elementary students with mathematics learning disabilities served as subjects. 「 Addition and subtraction compare problem test 」and interview were administered to all the subjects.
    The major findings were concluded as follows:
    1. The accurate percentage of problem solving representation from more to less were: 「compared unknown quality problem」、「discrepancy quality unknown problem」、「referent quality unknown problem」. If eliminate students who could make accurate representation, but had mistakes during the problem solving process or who couldn't explain the problem solving process, the highest problem solving representation accurate percentage was changed to「discrepancy quality unknown problems」.
    2. Although above 94﹪ students used「written symbols」to make representations, the effects of repersentations were not satisfied . Experience-based and role-playing could effectively bring subjects into the problem s and therefore revised the problem solving representation mistakes.
    3. The most difficulties on addition and subtraction compare problems were found in comprehension stage of problem solving process.
    According to the findings, the author proposed suggestion to further research and application of the study to math education .

    第一章 緒論 第一節 研究動機與目的 1 第二節 研究問題與研究假設 6 第三節 名詞釋義 7 第二章 文獻探討 第一節 解題表徵的定義與相關理論 13 第二節 加減應用題解題之相關理論與研究 24 第三節 數學學障學生之學習特質與數學解題相關研究 36 第三章 研究方法 第一節 研究對象 51 第二節 研究工具 52 第三節 研究步驟 56 第四節 資料分析 65 第四章 研究結果與討論 第一節 三類型比較類應用問題解題表徵正確率 67 第二節 比較類應用問題解題表徵類型之分析 77 第三節 比較類加減應用問題解題表徵困難類型 93 第四節 表徵提示方法對解題表徵影響的案例分析 112 第五章 結論與建議 第一節 結論 125 第二節 研究限制與建議 128 參考文獻 一、中文部分 134 二、英文部分 138 附錄一 解題表徵晤談流程圖 148 附錄二 解題表徵晤談記錄表 149 附錄三 第二次晤談紀錄表 154 附錄四 解題表徵困難類型定義與內容舉例 158

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