Many studies have investigated the roles that area and number
play in visual quantity estimation. Yet, recent work has
shown that perceived area is not equal to true, mathematical
area. This simple fact calls into question many findings in
numerical cognition and suggests a new theoretical
perspective: that area estimation plays a dominant role in
visual quantity estimation. We examine two ‘case studies’:
(1) a ‘general magnitude’ account of visual quantity
estimation, which posits bi-directional influences between
area and number. In contrast with prior work, controlling for
perceived area reveals a unidirectional relation between area
and number (Experiments 1 and 2), and (2) acuity of area and
number estimation (Experiment 3). We show how an
understanding of the perception of area forces a reevaluation
of several findings concerning the relative acuity of number
and area estimation. Combined, and in contrast to many prior
studies, our findings suggest a dominant role of area in visual
quantity estimation.