Enumeration: Shape information and expertise

Allen, Roy; McGeorge, Peter

doi:10.1016/j.actpsy.2008.04.003

Cited by 13 publications

(21 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Mandler and Shebo suggested that when grouping results in geometric cues, these geometric cues can lead to fast pattern recognition and can give access to associated information regarding their numerosity (e.g., a triangle is associated with three, a rectangle with four). Similar performance advantages of configural patterns relative to linear or random patterns were found in studies by Allen andMcGeorge (2008), van Oeffelen andVos (1982), and Wender and Rothkegel (2000), as well as in a recent study by Krajcsi et al (2013). Krajcsi et al found a larger subitizing range when the participants had to enumerate configural dot patterns than when they had to enumerate random patterns.…”

supporting

confidence: 60%

“…The third process is estimation, which is a rather fast but imprecise process that requires a constant period of time (Kaufman et al, 1949). In visual perception studies, researchers have found that grouping principles can speed up these enumeration processes (e.g., Allen & McGeorge, 2008;Beckwith & Restle, 1966;Krajcsi, Szabó, & Mórocz, 2013;Mandler & Shebo, 1982;van Oeffelen & Vos, 1982;Wender & Rothkegel, 2000). Beckwith and Restle (1966) were the first to suggest that enumeration can be facilitated by using grouping principles.…”

mentioning

confidence: 99%

See 1 more Smart Citation

The effect of perceptual grouping on haptic numerosity perception

Overvliet¹,

Verlaers²,

Krampe³

et al. 2012

Seeing and Perceiving

View full text Add to dashboard Cite

We used a haptic enumeration task to investigate whether enumeration can be facilitated by perceptual grouping in the haptic modality. Eight participants were asked to count tangible dots as quickly and accurately as possible, while moving their finger pad over a tactile display. In Experiment 1, we manipulated the number and organization of the dots, while keeping the total exploration area constant. The dots were either evenly distributed on a horizontal line (baseline condition) or organized into groups based on either proximity (dots placed in closer proximity to each other) or configural cues (dots placed in a geometric configuration). In Experiment 2, we varied the distance between the subsets of dots. We hypothesized that when subsets of dots can be grouped together, the enumeration time will be shorter and accuracy will be higher than in the baseline condition. The results of both experiments showed faster enumeration for the configural condition than for the baseline condition, indicating that configural grouping also facilitates haptic enumeration. In Experiment 2, faster enumeration was also observed for the proximity condition than for the baseline condition. Thus, perceptual grouping speeds up haptic enumeration by both configural and proximity cues, suggesting that similar mechanisms underlie perceptual grouping in both visual and haptic enumeration.

show abstract

supporting

confidence: 60%

mentioning

confidence: 99%

The effect of perceptual grouping on haptic numerosity perception

Overvliet¹,

Verlaers²,

Krampe³

et al. 2012

Seeing and Perceiving

View full text Add to dashboard Cite

show abstract

“…For example, if the slope of 1-3 is significantly smaller then the slope of 1-4, than 4 would be the split point that will define the two groups of data used to build linear equations (Allen & McGeorge, 2008). While bi-linear fit can be used to closely describe enumeration task data under some circumstances, it has some drawbacks.…”

Section: Bilinear Fitmentioning

confidence: 99%

Individual Subitizing Range (ISR)

Leibovich-Raveh¹,

Lewis²,

Ansari³

2018

Preprint

View full text Add to dashboard Cite

A large body of research has shown that human adults are fast and accurate at enumerating arrays of ~1-4 items. This phenomenon has been called subitizing. Above this range, enumeration is slower and less accurate. The subitizing range has been related to individual differences in variables such as mathematical abilities, working memory, etc. The two most common methods for calculating subitizing range today -bilinear fit and sigmoid fit -have their strengths and weaknesses. By combining these two methods, we overcome their biggest limitations and come up with a novel way for calculating Individual Subitizing Range (ISR). This paper introduces this new method as well as empirical studies designed to test the new method. We replicated classic effects from the literature and obtain a high correlation with the sigmoid fit method. This paper includes MATLAB code for easy calculation of ISR as well as a ready-to-use experimental file for testing ISR. We hope that these tools would be of use for researchers studying individual differences in the subitizing range.

show abstract

“…To examine directly whether the enhanced enumeration skill seen after experience with dynamic spatial tasks was linked with a greater use of pattern information, Allen and McGeorge (2008) compared the performance of air traffic controllers (ATCs) and matched novices on an enumeration task. There are two aspects of the task performed by ATCs that lead to the expectation that they will show enhanced use of pattern information.…”

mentioning

confidence: 99%

“…Allen and McGeorge (2008) presented ATCs and novices with stimuli (+'s) arranged in either regular geometric shapes, with each one being apical, or in straight lines. They hypothesized that, if the advantage shown by ATCs on the MOT task was related to pattern recognition processes, then any advantage in an enumeration task might be greater where the stimuli consist of regular/canonical patterns, particularly since we are biased towards regular forms (Feldman, 2000).…”

mentioning

confidence: 99%

Enumeration: Experts take their time

Allen¹,

McGeorge²

2010

Appl. Cognit. Psychol.

Self Cite

View full text Add to dashboard Cite

Previous research has demonstrated that grouping information enhances enumeration, and that this advantage is significantly greater for observers with expertise in dynamic visuospatial tasks (e.g. air traffic controllers). We sought to elucidate whether this advantage is the result of over-learned, automated responding in an enumeration experiment where many of the stimuli were incongruent as to canonical arrangement and numerosity. If so, we predicted that experts' performance would be more severely affected than novices'; if not, and experts continued to perform better than novices, we predicted that their response times should increase, reflective of the additional cognitive load needed. We demonstrated the latter is so. Experts continued to outperform novices but their response times were significantly slower suggesting that expertise is not rigid and automatic but, rather, is flexible and responsive to the specific situation, allowing experts to switch between strategies.

show abstract

Enumeration: Shape information and expertise

Cited by 13 publications

References 27 publications

The effect of perceptual grouping on haptic numerosity perception

The effect of perceptual grouping on haptic numerosity perception

Individual Subitizing Range (ISR)

Enumeration: Experts take their time

Contact Info

Product

Resources

About