本文乃藉由31位國小高年學生所發展之問題去探究其生活情境中之重量、容量、面 積概念的乘除法問題類型及錯誤的結構。研究結果如下：一、學生發展正確的乘法問題多 於除法，在重量概念發展出正確的數學結構題最多，面積的題數最少且較爲固化。而不同 的數學概念有不同的類型，重量、容量、面積分別集中在「比較型」、「量數同構型」、「叉 積型」題型；其中重量、容量、面積概念發展的情境分別以身邊人物體重、飮料容量的計 算、給予長度去計算土地大小的題型最多。二、錯誤結構中以「邏輯不合」的題目最多， 而面積是三種概念中錯誤最多的，錯誤結構大多是因學生的「語意知識」不足所引起。 三、本文進而研發一套「重量、容量、面積之生活情境的數學解題能力測驗工具」。

The purpose of this article was to explore the structures of multiplication and division problems developed by 31 six students in primary school. These problems were involved in weight, area, and capacity conceptions, which reflect students' real-life situation. The conclusions were drawn as follows. (1) Among these problems the number of the multiplicative structures were more than that of the divisive structures. The problems of weight most frequently appeared, and those of area least frequently appeared and lacked of variation. The problems of weight, area, and capacity concentrated on comparison, isomorphism, and product of measures respectively. These problems involve calculating the weight of people around them, the capacity of the beverages, and the area of the lands most. (2) The incorrect structure of problems and the incorrect problems developed most are about logical unsatisfying and the conception of area. They resulted from that students lacked in semantic knowledge. (3) The author developed the mathematically problem-solving test of weight, area, and capacity based on the real-life situation.