Klein Elise, Moeller Korbinian, Dressel Katharina, Domahs Frank, Wood Guilherme, Willmes Klaus, Nuerk Hans-Christoph
Section Neuropsychology, Department of Neurology, University Hospital, RWTH Aachen University, Germany.
Acta Psychol (Amst). 2010 Sep;135(1):67-76. doi: 10.1016/j.actpsy.2010.06.002. Epub 2010 Jul 2.
Recent research has suggested addition performance to be determined by both the need for a carry operation and problem size. Nevertheless, it has remained debatable, how these two factors are interrelated. In the current study, this question was pursued by orthogonally manipulating carry and problem size in two-digit addition verification. As the two factors interacted reliably, our results indicate that the carry effect is moderated by number magnitude processing rather than representing a purely procedural, asemantic sequence of processing steps. Moreover, it was found that the carry effect may not be a purely categorical effect but may be driven by continuous characteristics of the sum of the unit digits as well. Since the correct result of a carry problem can only be derived by integrating and updating the magnitudes of tens and units within the place-value structure of the Arabic number system, the present study provides evidence for the idea that decomposed processing of tens and units also transfers to mental arithmetic.
最近的研究表明，加法运算的表现取决于进位操作的需求和问题规模。然而，这两个因素如何相互关联仍存在争议。在当前的研究中，通过在两位数加法验证中正交操纵进位和问题规模来探讨这个问题。由于这两个因素可靠地相互作用，我们的结果表明，进位效应受数字大小处理的调节，而不是代表纯粹程序性的、无意义的处理步骤序列。此外，研究发现进位效应可能不是纯粹的分类效应，也可能由个位数之和的连续特征驱动。由于进位问题的正确结果只能通过在阿拉伯数字系统的位值结构内整合和更新十位数和个位数的大小来得出，本研究为十位数和个位数的分解处理也适用于心算这一观点提供了证据。
