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國小六年級學童分數乘除概念與運算錯誤類型之研究

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表 2-5 Vergnaud 多重比例型關係表  (M2)  x 2 x 2 '  f(x 1 , x 2 )    f(x 1 ', x 2 ')   (M1)      x 1x1 '  (M3)  同樣的依未知數所在的位置不同,可以區分為乘法問題、等分除、包含除和 5 的規則等類型,如表2-6:  表 2-6 Vergnaud 多重比例型問題類型表  問題類型 乘法問題  等分除問題 包含除問題  「5 的規則」問 題  問題舉例  小明家裡有 5 個人,每人每天吃掉 3 塊麵包,請問這 5人 7 天
表 2-7 Schwartz (I, E, E’)問題類型表
表 2-8 Schwartz 的(E, E’, E’’)結構表
表 2-11 Greer的STS 乘除問題類型(屬於不對稱型)續  度量的換算  (measure  conversion)  1 個 50 元硬幣可兌換 10 個 5 元硬幣,請問 3 個 50元硬幣,可兌換幾 個 5 元硬幣?  30 個 5 元硬幣,可兌換 3 個 50 元硬幣,請問 1 個 50元硬幣,可兌換幾個 5 元硬幣?  1 個 50 元硬幣可兌換 10 個 5 元硬幣,請問幾個 50元硬幣,可兌換 30個 5 元硬幣?  STS 乘除分類  (ST|S|)  乘法問題  (|S|TS)
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