Rational numbers: Componential versus holistic representation of fractions in a magnitude comparison task
Rational numbers: Componential versus holistic representation of fractions in a magnitude comparison task
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DOI：
10.1080/17470210802511162
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发表时间：
2009-01-01
影响因子：
1.7
通讯作者：
Noel, Marie-Pascale
中科院分区：
文献类型：
--
作者：
Meert, Gaelle;Gregoire, Jacques;Noel, Marie-Pascale
这项研究调查了成人执行的数字比较任务中分数大小的心理表征是否是组成部分和/或整体。在实验 1 中，具有共同分子的分数 (x/a_x/b) 和具有共同分母的分数 (a/x_b/x) 的比较引发了自然数的比较。在实验 2 中，添加了填充物（即没有共同成分的部分）以减少刺激的规律性。在这两个实验中，距离效应表明参与者比较了 a/x_b/x 分数的分子，但访问了整个分数的大小并比较了 x/a_x/b 分数。 x/a_x/b 分数对自然数的启动效应表明，在这些分数的比较过程中，分母大小的干扰得到了控制。这些结果表明其大小的混合表示（即部分和整体）。总之，可以通过估计分母的大小和分子的大小之间的比率来获取整个分数的大小。然而，成年人可能更喜欢依赖成分的大小，并且仅当成分策略的使用变得困难时才比较整个分数的大小。
This study investigated whether the mental representation of the fraction magnitude was componential and/or holistic in a numerical comparison task performed by adults. In Experiment 1, the comparison of fractions with common numerators (x/a_x/b) and of fractions with common denominators (a/x_b/x) primed the comparison of natural numbers. In Experiment 2, fillers (i.e., fractions without common components) were added to reduce the regularity of the stimuli. In both experiments, distance effects indicated that participants compared the numerators for a/x_b/x fractions, but that the magnitudes of the whole fractions were accessed and compared for x/a_x/b fractions. The priming effect of x/a_x/b fractions on natural numbers suggested that the interference of the denominator magnitude was controlled during the comparison of these fractions. These results suggested a hybrid representation of their magnitude (i.e., componential and holistic). In conclusion, the magnitude of the whole fraction can be accessed, probably by estimating the ratio between the magnitude of the denominator and the magnitude of the numerator. However, adults might prefer to rely on the magnitudes of the components and compare the magnitudes of the whole fractions only when the use of a componential strategy is made difficult.