Eye gaze patterns reveal how we reason about fractions

ABSTRACT

Fractions are defined by numerical relationships, and comparing two fractions’ magnitudes requires within-fraction (holistic) and/or between-fraction (componential) relational comparisons. To better understand how individuals spontaneously reason about fractions, we collected eye-tracking data while they performed a fraction comparison task with conditions that promoted or obstructed different types of comparisons. We found evidence for both componential and holistic processing in this mixed-pairs task, consistent with the hybrid theory of fraction representation. Additionally, making within-fraction eye movements on trials that promoted a between-fraction comparison strategy was associated with slower responses. Finally, participants who performed better on a non-numerical test of reasoning took longer to respond to the most difficult fraction trials, which suggests that those who had greater facility with non-numerical reasoning attended more to numerical relationships. These findings extend prior research and support the continued investigation into the mechanistic links between numerical and non-numerical reasoning.     

Age effects and gaze patterns in recognising emotional expressions: An in-depth look at gaze measures and covariates

The present study investigated predictors of age effects in emotion recognition accuracy. Older and younger adults were tested on a battery of cognitive, vision, and affective questionnaires; participants' eyes were also tracked while they completed an emotion recognition task. Older adults were worse at recognising sad, angry, and fearful expressions than younger adults. When controlling for covariates related to emotion recognition accuracy, younger adults still outperformed older adults in recognising anger and sadness. Younger adults tended to pay more attention to the eyes than older adults. Results suggest that age-related gaze patterns in emotion recognition may depend on the specific emotion being recognised and may not generalise across stimuli sets.     

The effect of gaze on gaze direction while looking at art

In highly controlled cuing experiments, conspecific gaze direction has powerful effects on an observer’s attention. We explored the generality of this effect by using paintings in which the gaze direction of a key character had been carefully manipulated. Our observers looked at these paintings in one of three instructional states (neutral, social, or spatial) while we monitored their eye movements. Overt orienting was much less influenced by the critical gaze direction than what the cuing literature might suggest: An analysis of the direction of saccades following the first fixation of the critical gaze showed that observers were weakly biased to orient in the direction of the gaze. Over longer periods of viewing, however, this effect disappeared for all but the social condition. This restriction of gaze as an attentional cue to a social context is consistent with the idea that the evolution of gaze direction detection is rooted in social communication. The picture stimuli from this experiment can be downloaded from the Psychonomic Society’s Archive of Norms, Stimuli, and Data, www.psychonomic.org/archive.     

The gaze of the optimist

Two studies used eye tracking to investigate the attentional preferences of optimists and pessimists to negative emotional stimuli. In both studies, optimistic and pessimistic college students viewed three types of visual stimuli while having their eye movements tracked: skin cancer (melanoma) images, matched schematic line drawings, and neutral faces. In the first study, participants were asked to view the images naturally, whereas in the second study, some participants received a relevance manipulation. Percentage of fixation time to the different images was measured. Optimists showed selective inattention to the skin cancer images, even after controlling for attention to matched schematic line drawings. This relationship remained significant in both studies after controlling for the effects of neuroticism, affect, anxiety, relevance, and perceptual variables. These data suggest that optimists may indeed wear "rose-colored glasses" in their processing of information from the world.     

The development of mentalistic gaze understanding

Very young infants are sensitive to and follow other people's gaze. By 18 months children, like chimpanzees, apparently represent the spatial relationship between viewer and object viewed: they can follow eye‐direction alone, and react appropriately if the other's gaze is blocked by occluding barriers. This paper assesses when children represent this relationship as psychological in nature. Studies examining sensitivity to gaze, gaze following, and explicit judgement of gaze direction are reviewed. The evidence suggests that neither infants nor chimpanzees represent gaze as psychological. It is concluded that mentalistic gaze understanding develops from the age of 3 years. Copyright © 2006 John Wiley & Sons, Ltd.     

On-to-off-path gaze shift cancellations lead to gaze concentration in cognitively loaded car drivers: A simulator study exploring gaze patterns in relation to a cognitive task and the traffic environment

Appropriate visual behaviour is necessary for safe driving. Many previous studies have found that when performing non-visual cognitive tasks, drivers typically display an increased amount of on-path glances, along with a deteriorated visual scanning pattern towards potential hazards at locations outside their future travel path (off-path locations). This is often referred to as a gaze concentration effect. However, what has not been explored is more precisely how and when gaze concentration arises in relation to the cognitive task, and to what extent the timing of glances towards traffic-situation relevant off-path locations is affected. To investigate these specific topics, a driving simulator study was carried out. Car drivers’ visual behaviour during execution of a cognitive task (n-back) was studied during two traffic scenarios; one when driving through an intersection and one when passing a hidden exit. Aside from the expected gaze concentration effect, several novel findings that may explain this effect were observed. It was found that gaze shifts from an on-path to an off-path location were inhibited during increased cognitive load. However, gaze shifts in the other direction, that is, from an off-path to an on-path location, remained unaffected. This resulted in on-path glances increasing in duration, while off-path glances decreased in number. Furthermore, the inhibited off-path glances were typically not compensated for later. That is, off-path glances were cancelled, not delayed. This was the case both in relation to the cognitive task (near-term) and the traffic environment (far-term). There was thus a general reduction in the number of glances towards situationally relevant off-path locations, but the timing of the remaining glances was unaffected. These findings provide a deeper understanding of the mechanism behind gaze concentration and can contribute to both understanding and prediction of safety relevant effects of cognitive load in car drivers.     

The malleability of age-related positive gaze preferences: training to change gaze and mood

Older adults show positive gaze preferences, but to what extent are these preferences malleable? Examining the plasticity of age-related gaze preferences may provide a window into their origins. We therefore designed an attentional training procedure to assess the degree to which we could shift gaze and gaze-related mood in both younger and older adults. Participants completed either a positive or negative dot-probe training. Before and after the attentional training, we obtained measures of fixations to negatively valenced images along with concurrent mood ratings. We found differential malleability of gaze and mood by age: for young adults, negative training resulted in fewer posttraining fixations to the most negative areas of the images, whereas positive training appeared more successful in changing older adults' fixation patterns. Young adults did not differ in their moods as a function of training, whereas older adults in the train negative group had the worst moods after training. Implications for the etiology of age-related positive gaze preferences are considered.     

注视线索对消费者的影响机制

心理学研究发现眼睛注视线索不仅能够引导社会性注意,还会影响个体对物品的感觉和知觉。注视线索对消费者的影响体现在认知和态度两方面：一方面,模特注视线索能够引导消费者注意,增强消费者对广告或产品的记忆;另一方面,模特注视线索会影响消费者对产品的喜欢程度和购买意愿,以及对服务人员的评价。未来可以从产品、消费者、消费情景及注视线索发起人等方面进一步探索注视线索对消费者心理和行为的影响。     

The meaning of modality

This paper describes a semantics for modal terms such as can and may that is intended to model the mental representation of their meaning. The basic assumption of the theory is that the evaluation of a modal assertion involves an attempted mental construction of a specified alternative to a given situation rather than the separate evaluation of each member of a set of possible alternatives as would be required by a “possible worlds” semantics. The theory leads to the conclusion that, contrary to what is often assumed, modal auxiliary verbs are unambiguous.