TY - JOUR PY - 2013// TI - How many is a zillion? Sources of number distortion JO - Journal of experimental psychology: learning, memory, and cognition A1 - Rips, Lance J. SP - 1257 EP - 1264 VL - 39 IS - 4 N2 - When young children attempt to locate the positions of numerals on a number line, the positions are often logarithmically rather than linearly distributed. This finding has been taken as evidence that the children represent numbers on a mental number line that is logarithmically calibrated. This article reports a statistical simulation showing that log-like positioning is a consequence of 2 factors: the bounded nature of the number line and greater uncertainty about the meaning of the larger, less frequent number words. Two experiments likewise show that even college students produce log-like placements under the same 2 conditions. In Experiment 1, participants identified positions on a number line for a set that included both conventional and fictitious numbers (e.g., a zillion). In Experiment 2, participants did the same for conventional numbers that included some larger, unfamiliar items (e.g., a nonillion). Both experiments produced results better fit by logarithmic than by linear functions. (PsycINFO Database Record (c) 2012 APA, all rights reserved).

Language: en

LA - en SN - 0278-7393 UR - http://dx.doi.org/10.1037/a0031143 ID - ref1 ER -