臺灣博碩士論文加值系統

本研究旨在了解數學學習障礙學生（以下簡稱數學學障生）的計算能力。研究對象為99學年度就讀台南市國民中學一年級的數學學障生，樣本數共73人，以研究者自編的「數學計算能力測驗」進行施測，最後對測驗結果進行分析。
本研究結果分析得到以下結論：
一、 國一數學學障生計算能力相當於小三的年級水準。
二、國一數學學障生對整數基本數字事實計算能力佳。
三、國一數學學障生在整數部分，對多位數減法、多位數乘法、多位數除法及有餘數的除法問題計算能力表現不佳。
四、國一數學學障生對分數、小數的計算能力不佳。
五、國一數學學障生計算能力有高、低分組的差異，且達到顯著差異。

關鍵字：數學學習障礙、學習障礙、計算能力

The purpose of this study is to investigate the written computation of
student with mathematics disabilities（MD）. Subjects in the study include 73
seventh grades students with MD in Taiwan Tainan city. The written
computation was examined by grade level expectation（Grade 1-6）and skill
area（whole number: addition, subtraction, multiplication, division； rational
numbers: fraction, decimals）using the Mathematical Written Computation
Test. The finding indicated:
1. The written computation of these seventh grades students with MD
was at the third-grade levels.
2. Seventh grades students with MD had fluent written computation in
whole number basic facts in addition, subtraction, multiplication, and
division.
3. Seventh grades students with MD was lack of written computation on
many items deal with subtraction, multiplication, and division of
multiple digits and the remainder of division.
4. Seventh grades students with MD was also lack of ration number
items involving fraction and decimals.
5. The written computation of these seventh grades students with MD
was statistically significant difference among high and low group.

目 錄
第一章 緒論
第一節 研究背景與研究動機………………………………………1
第二節 研究目的與待答問題………………………………………4
第三節 名詞釋義……………………………………………………6
第二章 文獻探討
第一節 數學學習障礙的定義與分類………………………………9
第二節 數學學習障礙的學習特徵及相關研究……………………14
第三節 數學學障生計算上可能出現的困難與錯誤類型…………27
第四節 數學學障生計算能力之相關研究…………………………31
第三章 研究方法
第一節 研究架構……………………………………………………35
第二節 研究對象……………………………………………………37
第三節 研究工具……………………………………………………40
第四節 資料處理與分析……………………………………………46
第四章 結果與討論
第一節 國一數學學障生計算能力之現況…………………………47
第二節 國一數學學障生計算能力在各年級階段之表現與分析…52
第三節 國一數學學障生計算能力的差異…………………………68
第五章 結論與建議
第一節 結論…………………………………………………………75
第二節 建議…………………………………………………………77
第三節 研究限制……………………………………………………79
參考文獻
中文部分…………………………………………………………… 80
英文部分…………………………………………………………… 83
附錄一、數學計算能力測驗……………………………………… 93

表 目 錄

表1 高、低階數字感的來源與特性………………………………16
表2 使用數數策略的階段：以簡單加法為例……………………18
表3 預試樣本施測結果表…………………………………………37
表4 正式樣本統計表………………………………………………39
表5 數學運算修訂測驗（MOT-R）各年級水準的數學技能及及舉
例………………………………………………………………41
表6 「數學計算能力測驗」各年級水準的數學技能及題目……44
表7 高、低分組國一數學學障生的計算能力t考驗分析摘要
表………………………………………………………………72

圖 目 錄

圖1 研究架構圖……………………………………………………36
圖2 各年級階段計算計算能力曲線圖……………………………48
圖3 不同數學技能的計算能力曲線圖……………………………49
圖4 一年級各項數學技能之計算能力表現圖……………………52
圖5 二年級各項數學技能之計算能力表現圖……………………53
圖6 三年級整數部分各項數學技能之計算能力表現圖…………54
圖7 三年級有理數部分各項數學技能之計算能力表現圖………55
圖8 四年級整數部分各項數學技能之計算能力表現圖…………56
圖9 四年級有理數部分各項數學技能之計算能力表現圖………57
圖10 五年級各項數學技能之計算能力表現圖……………………58
圖11 六年級各項數學技能之計算能力表現圖……………………59
圖12 高分組在各年級階段的計算能力曲線圖……………………69
圖13 高分組在不同數學技能的計算能力曲線圖…………………70
圖14 低分組在各年級階段計算計算能力曲線圖…………………71
圖15 低分組在不同數學技能的計算能力曲線圖…………………72

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