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兩種線段圖表徵解題策略在學習成效上的比較

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圖 1  長度線段圖  2.  成比例線段圖  在此線段圖中,要求滿足下列兩個條件:第一,圖中應標示每一條線段所代表的是什麼;第 二,這些線段的長度應成比例地表現問題中的數量倍數關係。我們可以用等長的線段來表示數量 之間的關係。如圖 2 所示:  82 年版部編本遇到困難度較高的分數問題(例如分數乘除法、異分母加減等問題)時,會刻 意地引入成比例線段圖來表徵這些分數問題及對等關係問題,用成比例表徵的理由,在於它可以 進行多次的具體等分割及再合其數份之活動(此活動為分數問題與對等問題解題的特性) ,並保留 這

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