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 圖解策略教學應用於國小數學科補救教學學習成效之研究摘要本研究主要目的在探討圖解策略教學，運用在國小數學科補救教學的學習成效，針對教師實施圖解策略補救教學時面臨的問題所採用之因應方法、教師在補救教學過程中的省思與成長。本研究採行動研究，以台中市豐原區正義國民小學五年級學生6人為研究對象，進行為期近四個月的數學補救教學活動，透過研究者自編數學基本能力測驗前後測、教師教學觀察記錄、學生書寫的學習單、教師教學省思手札等資料，整理歸納出圖解策略教學對國小數學科補救教學的助益、教師面對教學問題的解決方法與省思成長，後因研究樣本流失，僅以研究對象3人進行研究結果分析。透過資料整理與分析，得出本研究之研究結果如下：一、 經分析學生所欠缺之能力後，進行設計的補救教學學習單，透過圖解策略教學後，能提升學生數學基本能力，學生透過圖像化有助於學習內容的理解。二、 圖解策略補救教學可幫助學生將文字題目圖像化，幫助理解題意列出正確算式，能增加學生對數學學習的理解。三、 圖解策略教學有助於時間與幾何圖形等單元的學習。四、 教師實施補救教學所面臨的諸多問題，宜保持彈性來處理或尋求同儕教師的協助。五、 教師運用圖解策略教學於數學科補救教學，有助提升教師對教材的了解。從研究結論來看，圖解策略教學運用於國小數學科補救教學，有助於提升學生數學基本能力與數學的學習，也能提升教師對教學材料的了解程度，可做為未來補救教學相關研究方向的參考。關鍵詞: 圖解策略教學、數學、補救教學
 The Study on the Learning Effectiveness of the Application of Graphic Teaching Strategies to Elementary School Mathematics’ Remedial TeachingAbstractThe main purpose of this study is to explore whether the graphic teaching strategies are effective in Remedial teaching in the elementary school mathematics. Besides, the methods in response to the problems faced by the teachers when they apply graphic teaching strategies in remedial teaching are probed. Teachers’ reflection and growth during the usage of this strategy are also illustrated.The research method employed in this research is action research. The subjects are originally six students of Grade 5 in Chen Yi Elementary School at Fengyuan District, in Taichung City. The remedial teaching lasted for nearly four months, during which data are collected. The data include: Pre-and Post-test based on the basic skill test made by the research, teaching observation records, students’ answering sheet, teachers’ reflection notes and other related information. Based on the above resources, summaries are made that graphic teaching are helpful in the remedial teaching. The methods of the teachers took when faced with problems and the teachers’ reflection and growth are also illustrated. Due to the sample loss during the research, the results of the research are given based on the analysis of three of the subjects.Through data processing and analysis, the findings of this study are as follows:First, the application of graphic teaching strategies, based on the remedial learning sheet designed after the analysis of the abilities that students lack, is helpful to improve students’ basic mathematical ability and deepen their understanding by visualization.Second, the graphic remedial teaching strategies can help students visualize the verbal maths tests, list the correct formula after correct understanding and enhance their understanding of mathematical learning.Third, graphic teaching strategies are helpful in the units with the topics of time and geometry and so.Fourth, when problems arose in the implication of remedial teaching, teachers should maintain the flexibility to deal with the problems or seek assistance from peer teachers.Fifth, teachers’ employments of graphic teaching strategies in Mathematics remedial teaching can help enhance teachers' understanding of the teaching materials.From the above conclusions, it is safe to say that graphic teaching strategies, if properly used in the remedial teaching in elementary mathematics teaching, can not only help improve students ' math ability and math basic learning, but also enhance teachers' understanding of teaching materials. In a word, this research can be used as a reference for future remedial teaching research.Keywords: graphic teaching strategies, Mathematics, remedial teaching
 目 次第一章 緒 論 1第一節 研究背景與動機 1第二節 研究目的 7第三節 待答問題 8第四節 重要名詞釋義 8第五節 研究範圍與限制 10第二章 文 獻 探 討 13第一節 圖像表徵的圖解教學 13第二節 補救教學的定義與內涵 18第三節 學習低成就的定義與內涵 23第四節 圖解策略教學與補救教學的相關研究 34第三章 研 究 設 計 與 實 施 41第一節 行動研究的適切性 41第二節 研究流程 42第三節 研究對象分析 47第四節 研究工具 52第五節 圖解策略教學應用於補救教學實施規畫 58第六節 資料整理與分析 63第七節 研究倫理與研究者背景 64第四章 結 果 與 討 論 67第一節 補救教學學生數學學習進步情形 67第二節 教師實施數學補救教學面臨問題與因應方法 80第三節 教師實施補救教學活動的省思與成長 91第五章 結 論 與 建 議 95第一節 結論 95第二節 建議 101參考文獻 105附錄一 家長同意書 117附錄二 數學基本能力測驗 1 118附錄三 數學基本能力測驗2 122附錄四 數學基本能力測驗專家問卷 126附錄五 補救教學學習單1-1 136附錄六 補救教學學習單1-2 137附錄七 補救教學學習單1-3 138附錄八 補救教學學習單1-4 139附錄九 補救教學學習單1-5 140附錄十 補救教學學習單1-6 141附錄十一 補救教學學習單1-7 142附錄十二 補救教學學習單1-8 143附錄十三 補救教學學習單1-9 144附錄十四 補救教學學習單1-10 145附錄十五 補救教學學習單1-11 146附錄十六 補救教學學習單1-12 147附錄十七 補救教學學習單1-13 148附錄十八 補救教學學習單1-14 149附錄十九 補救教學學習單2-1 150附錄二十 補救教學學習單2-2 151附錄二十一 補救教學學習單2-3 152附錄二十二 補救教學學習單2-4 153附錄二十三 補救教學學習單3-1 154附錄二十四 補救教學學習單4-1 155附錄二十五 補救教學觀察記錄與省思手札 156表 次表2-1補救教學方式 21表2-2數學學習障礙/數學低成就的描述 30表2-3數學學習障礙/數學低成就的特徵 32表2-4相關圖解策略運用之研究 35表2-5數學科補救教學相關研究 37表2-6數學科圖解策略運用於補救教學相關研究 39表3-1數學補救教學科技平台測驗201306能力指標通過情形 48表3-2數學基本能力測驗甲卷內容架構 53表3-3數學基本能力測驗乙卷內容架構 54表3-4數學圖解策略教學學習單內容架構分析 55表3-5數學補救教學計畫時間規畫 59表3-6圖解策略教學對應單元教學大綱 60表4-1學生圖解策略教學前後測得分 68圖 次圖2-1 學習障礙操作型定義 28圖3-1 研究流程 46