Choice of operation in verbal arithmetic problems: the effects of number size, problem structure and context
Choice of operation in verbal arithmetic problems: the effects of number size, problem structure and context
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言语算术问题中的运算选择：数字大小、问题结构和上下文的影响
DOI：
10.1007/bf00305893
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发表时间：
1984
影响因子：
3.2
通讯作者：
B. Greer
中科院分区：
文献类型：
--
作者：
A. Bell;E. Fischbein;B. Greer
摘要 12 岁和 13 岁的孩子接受了两种类型的任务测试，以测试他们对正数乘法和除法应用的理解：（i）写下解决语言问题所需的计算，以及（ii）编造故事以适应给定的计算。选定的学生接受采访，以进一步调查所涉及的思维过程。结果表明（a）某些数字误解的普遍性，（b）项目之间结构差异的影响；特别是乘法是否可以被视为重复加法，以及除法是否具有划分、引用或比率的结构，(c) 可归因于相对熟悉度等方面的上下文的特定影响，以及 (d) 这三组因素之间的各种相互作用。
Abstract12-and 13-year-olds were tested with two types of tasks to test their understanding of applications of the multiplication and division of positive numbers: (i) writing down calculations required to solve verbal problems, and (ii) making up stories to fit given calculations. Selected pupils were interviewed to investigate further the thinking processes involved. The results indicate (a) the pervasive nature of certain numerical misconceptions, (b) the effects of structural differences among the items; particularly whether multiplication can be conceived as repeated addition or not, and whether division has the structure of partition, quotition or rate, (c) specific effects of context attributable to such aspects as relative familiarity, and (d) various interactions between these three sets of factors.