Perception of clusters in statistical maps

Two experiments observed performance on a cluster identification task across a variety of common statistical maps. Stimulus maps displayed mortality rates for several diseases and subjects had to identify regions of the map that were perceived to form a cluster of particularly high (or low) mortality. Subjects marked the perceived centroid of each cluster, and analyses focused on the dispersion of centroid location across subjects. Under these circumstances, monochrome classed choropleth maps were found to minimize dispersion, compared to a two opposing colours scheme, a dot density map, a pie map, and a categorical (hue-based) colour scheme. Maps using a familiar geographical unit (i. e. a U. S. state) supported better recall of the information than maps using less familiar and smaller geographical units. The results were found to be interpretable within current cognitive theory.     

识图方式与地图难度对定向运动员识图决策绩效与视觉搜索特征的影响

目的：研究旨在探究定向运动员在识别定向运动地图时的决策绩效与视觉搜索特征。方法：研究采用组内设计,操控地图难度（简单和复杂）和运动员识图方式（精确识图和概略识图）对高水平定向运动员进行实验研究。结果：（1）随着地图难度的加大,定向运动员识图准确性下降,概略识图反应时增加。（2）识图时,简单地图比复杂地图注视频率和眼跳距离更大,注视次数更少;概略识图比精确识图注视次数更多、注视频率更高、眼跳距离更大;概略识图时,简单地图条件下运动员从起点开始正向搜索,复杂地图条件下从终点开始逆向搜索,注视区域面积大且分散;精确识图时,无论是简单地图还是复杂地图,所有运动员均首先搜索检查点说明表和终点,注视区域面积小且集中。结论：地图难度制约着定向运动员的识图决策绩效。定向运动员识图的视觉搜索特征受识图方式与地图难度影响,表现出不同的视觉搜索策略。     

Building a cognitive map by assembling multiple path integration systems

Path integration and cognitive mapping are two of the most important mechanisms for navigation. Path integration is a primitive navigation system which computes a homing vector based on an animal’s self-motion estimation, while cognitive map is an advanced spatial representation containing richer spatial information about the environment that is persistent and can be used to guide flexible navigation to multiple locations. Most theories of navigation conceptualize them as two distinctive, independent mechanisms, although the path integration system may provide useful information for the integration of cognitive maps. This paper demonstrates a fundamentally different scenario, where a cognitive map is constructed in three simple steps by assembling multiple path integrators and extending their basic features. The fact that a collection of path integration systems can be turned into a cognitive map suggests the possibility that cognitive maps may have evolved directly from the path integration system.     

Cognitive styles and mental rotation ability in map learning

In inspecting, learning and reproducing a map, a wide range of abilities is potentially involved. This study examined the role of mental rotation (MR) and verbal ability, together with that of cognitive styles in map learning. As regards cognitive styles, the traditional distinction between verbalizers and visualizers has been taken into account, together with a more recent distinction between two styles of visualization: spatial and object. One hundred and seven participants filled in two questionnaires on cognitive styles: the Verbalizer–Visualizer Questionnaire (Richardson in J Ment Imag 1:109–125, 1977) and the Object-Spatial Imagery Questionnaire (Blajenkova et al. in Appl Cogn Psych 20:239–263, 2006), performed MR and verbal tests, learned two maps, and were then tested for their recall. It was found that MR ability and cognitive styles played a role in predicting map learning, with some distinctions within cognitive styles: verbal style favoured learning of one of the two maps (the one rich in verbal labels), which in turn was disadvantaged by the adoption of spatial style. Conversely, spatial style predicted learning of the other map, rich in visual features. The discussion focuses on implications for cognitive psychology and everyday cognition.     

Children's cognitive maps of large-scale spaces: Effects of exploration,direction, and repeated experience

Kindergarteners and third graders (mean ages 5–10 and 8–9 years) repeatedly encountered a model town and then constructed the town from memory. In Experiment 1, the effect of different types of exploration on the development of a cognitive map was assessed. Children who were directed to walk within the town placed buildings more accurately than children who had walked along the town's perimeter. Children who walked within the town and were directed to the spatial relationships among buildings had the highest placement accuracy. Third graders were more accurate than kindergarteners across the three types of exploration. In Experiment 2, children were permitted to explore the town alone for an unlimited amount of time. Under these conditions, third graders still placed buildings more accurately than kindergarteners. A comparison of Experiments 1 and 2 indicated that children developed more accurate cognitive maps when motor activity and attention were directed by the experimenter as opposed to being directed by the child. Accuracy improved with repeated walks and constructions in both experiments, and the results of Experiment 3 suggested that constructing facilitated the development of the cognitive map as much as walking. It was concluded that third graders' cognitive maps were more accurate than kindergarteners' maps due to differences in the speed of acquisition and storage of spatial information.     

Finding locations in the environment: the map as mediator.

When an observer (O) uses a map (M) whose orientation does not correspond to the orientation of the environment (E) in which performance occurs, substantial errors occur: these are called map alignment effects. Much of the prior research on map/environment (M/E) alignment has involved maps of simple paths, although alignment effects have also been demonstrated for you-are-here (YAH) maps. A study is reported in which simple YAH maps were used to test the hypothesis that errors with misaligned maps would fall into categories predictable from the application of inappropriate cognitive operations to the misaligned maps, as demonstrated earlier by Rossano and Warren. Further, performance under conditions of M/E misalignment was compared with performance under map/observer (M/O) misalignment, the situation in which the map is sideways or upside-down with respect to the observer. The major hypothesis was supported: predictable errors occurred under conditions of M/E misalignment. Errors under conditions of M/O misalignment were significantly smaller. Furthermore, when given the choice of using M/E or M/O alignment, each at the expense of the other, the overwhelming choice was to retain M/E rather than M/O alignment. This pattern of results occurred even when environmental features were represented by words rather than by lines and shapes on the map. The results underscore the robustness of map alignment effects.     

Reconstructing maps from text

Previous research has demonstrated that Distributional Semantic Models (DSMs) are capable of reconstructing maps from news corpora (Louwerse & Zwaan, 2009) and novels (Louwerse & Benesh, 2012). The capacity for reproducing maps is surprising since DSMs notoriously lack perceptual grounding. In this paper we investigate the statistical sources required in language to infer maps, and the resulting constraints placed on mechanisms of semantic representation. Study 1 brings word co-occurrence under experimental control to demonstrate that standard DSMs cannot reproduce maps when word co-occurrence is uniform. Specifically, standard DSMs require that direct co-occurrences between city names in a corpus mirror the proximity between the city locations in the map in order to successfully reconstruct the spatial map. Study 2 presents an instance-based DSM that is capable of reconstructing maps independent of the frequency of co-occurrence of city names.     

The E-Z reader model of eye-movement control in reading: comparisons to other models

The E-Z Reader model (Reichle et al. 1998; 1999) provides a theoretical framework for understanding how word identification, visual processing, attention, and oculomotor control jointly determine when and where the eyes move during reading. In this article, we first review what is known about eye movements during reading. Then we provide an updated version of the model (E-Z Reader 7) and describe how it accounts for basic findings about eye movement control in reading. We then review several alternative models of eye movement control in reading, discussing both their core assumptions and their theoretical scope. On the basis of this discussion, we conclude that E-Z Reader provides the most comprehensive account of eye movement control during reading. Finally, we provide a brief overview of what is known about the neural systems that support the various components of reading, and suggest how the cognitive constructs of our model might map onto this neural architecture.     

The accountability of hand-drawn maps and rendering practices

This paper presents an ethnomethodological analysis of the representation of space in hand-drawn maps. The rendering practice of hand drawn maps includes some systematic devices by which real space is transformed into two-dimensional space on paper and a map is recognized as the map representing a certain space. In other words, members use these devices not only to trace real space but also to enable the recognition of space in a specific mode. The paper deals with three distinctive patterns affording accountability of geographical features: retention of the three-dimensionality of real space; formal resemblance with intertextuality; and identification of space by means of words. Retention of the 3D of space on map is the device that assigns 3D effect to maps and contributes to the perception of the figure as being similar to real space. Intertextuality bestows formal resemblance on various maps to secure the intersubjectivity and scientific objectivity of maps. Words entered on hand-drawn maps enable a reading of a correspondence of maps with real space. The representation of space makes sense by virtue of these devices that accomplish the recognizability of space between the drawers and readers of hand-drawn maps.     

Spatial cognition and crime: the study of mental models of spatial relations in crime analysis

Several studies employed different algorithms in order to investigate criminal's spatial behaviour and to identify mental models and cognitive strategies related to it. So far, a number of geographic profiling (GP) software have been implemented to analyse mobility and its relation to the way criminals are using spatial environment when committing a crime. Since crimes are usually perpetrated in the offender's high-awareness areas, those cognitive maps can be employed to create a map of the criminal's operating area to help investigators to circumscribe search areas. The aim of the present study was to verify accuracy of simple statistical analysis in predicting spatial mobility of a group of 30 non-criminal subjects. Results showed that statistics such as Mean Centre and Standard Distance were accurate in elaborating a GP for each subject according to the mobility area provided. Future analysis will be implemented using mobility information of criminal subjects and location-based software to verify whether there is a cognitive spatial strategy employed by them when planning and committing a crime.     

Representing Spatial Structure Through Maps and Language: Lord of the Rings Encodes the Spatial Structure of Middle Earth

Spatial mental representations can be derived from linguistic and non‐linguistic sources of information. This study tested whether these representations could be formed from statistical linguistic frequencies of city names, and to what extent participants differed in their performance when they estimated spatial locations from language or maps. In a computational linguistic study, we demonstrated that co‐occurrences of cities in Tolkien’s Lord of the Rings trilogy and The Hobbit predicted the authentic longitude and latitude of those cities in Middle Earth. In a human study, we showed that human spatial estimates of the location of cities were very similar regardless of whether participants read Tolkien’s texts or memorized a map of Middle Earth. However, text‐based location estimates obtained from statistical linguistic frequencies better predicted the human text‐based estimates than the human map‐based estimates. These findings suggest that language encodes spatial structure of cities, and that human cognitive map representations can come from implicit statistical linguistic patterns, from explicit non‐linguistic perceptual information, or from both.     

Subtask analysis of process data through a predictive model

Response process data collected from human–computer interactive items contain detailed information about respondents' behavioural patterns and cognitive processes. Such data are valuable sources for analysing respondents' problem-solving strategies. However, the irregular data format and the complex structure make standard statistical tools difficult to apply. This article develops a computationally efficient method for exploratory analysis of such process data. The new approach segments a lengthy individual process into a sequence of short subprocesses to achieve complexity reduction, easy clustering and meaningful interpretation. Each subprocess is considered a subtask. The segmentation is based on sequential action predictability using a parsimonious predictive model combined with the Shannon entropy. Simulation studies are conducted to assess the performance of the new method. We use a case study of PIAAC 2012 to demonstrate how exploratory analysis for process data can be carried out with the new approach.     

An item response model with internal restrictions on item difficulty

An IRT model based on the Rasch model is proposed for composite tasks, that is, tasks that are decomposed into subtasks of different kinds. There is one subtask for each component that is discerned in the composite tasks. A component is a generic kind of subtask of which the subtasks resulting from the decomposition are specific instantiations with respect to the particular composite tasks under study. The proposed model constrains the difficulties of the composite tasks to be linear combinations of the difficulties of the corresponding subtask items, which are estimated together with the weights used in the linear combinations, one weight for each kind of subtask. Although the model does not belong to the exponential family, its parameters can be estimated using conditional maximum likelihood estimation. The approach is demonstrated with an application to spelling tasks. We thank Eric Maris for his helpful comments.     

Orientation in cognitive maps

In 14 experiments, subjects had to “point to” surrounding environmental locations (targets) while imagining themselves in a particular spot facing in various directions (orientations). The spatial information was either committed to memory (cognitive maps) or directly presented on each trial in the visual or tactile modality. Reaction times (RT) indicated that orientation shifts were achieved through mental rotation in the visual task, but not in the cognitive map or tactile tasks. Further, in the latter two tasks targets were located most quickly when they were adjacent to or opposite the imagined orientation. Several explanations of this finding were tested. Various aspects of the data suggest that cognitive maps are not strictly holistic, but consist of orientation-specific representations, and—at least in part—of relational propositions specific to object pairs.     

Critical periods and catastrophic interference effects in the development of self-organizing feature maps

The use of self-organizing feature maps (SOFM) in models of cognitive development has frequently been associated with explanations of critical or sensitive periods. By contrast, error-driven connectionist models of development have been linked with catastrophic interference between new knowledge and old knowledge. We introduce a set of simulations that systematically evaluate the conditions under which SOFMs demonstrate critical/sensitive periods in development versus those under which they display interference effects. We explored the relative contribution of network parameters (for example, whether learning rate and neighbourhood reduce across training), the representational resources available to the network, and the similarity between old and new knowledge in determining the functional plasticity of the maps. The SOFMs that achieved the best discrimination and topographic organization also exhibited sensitive periods in development while showing lower plasticity and hence limited interference. However, fast developing, coarser SOFMs also produced topologically organized representations, while permanently retaining their plasticity. We argue that the impact of map organization on behaviour must be interpreted in terms of the cognitive processes that the map is driving.     

Position Location on Topographical Maps: Effects of Task Factors,Training, and Strategies

There is little research on the ways people go about the very common task of extracting information from various forms of maps. In this study, we examined task factors, cognitive processes, and individual differences as determinants of performance differences when locating a position on a topographical map from a given position on the ground. Subjects for the study were 188 Australian Army personnel. Both spatial visualization ability and a visual learning style preference were found to be effective predictors of performance, whereas a form of verbal strategy training produced significantly improved performance. When no effective strategy was supplied, those subjects with a strong visual learning style preference performed dramatically better than their low-preference counterparts, suggesting that this form of processing preference may have a powerful impact on untrained performance. These results indicate that most subjects usually approach the task of map reading in a relatively passive way, without any coherent strategy, and then attempt to encode information using inefficient spatial codes. When a simple and effective verbal strategy was supplied, most subjects were able to adopt it, with uniformly beneficial, results. This suggests that performance on many spatial tasks could be improved by verbal strategy training.     

Mapping and correcting the influence of gaze position on pupil size measurements

Pupil size is correlated with a wide variety of important cognitive variables and is increasingly being used by cognitive scientists. Pupil data can be recorded inexpensively and non-invasively by many commonly used video-based eye-tracking cameras. Despite the relative ease of data collection and increasing prevalence of pupil data in the cognitive literature, researchers often underestimate the methodological challenges associated with controlling for confounds that can result in misinterpretation of their data. One serious confound that is often not properly controlled is pupil foreshortening error (PFE)—the foreshortening of the pupil image as the eye rotates away from the camera. Here we systematically map PFE using an artificial eye model and then apply a geometric model correction. Three artificial eyes with different fixed pupil sizes were used to systematically measure changes in pupil size as a function of gaze position with a desktop EyeLink 1000 tracker. A grid-based map of pupil measurements was recorded with each artificial eye across three experimental layouts of the eye-tracking camera and display. Large, systematic deviations in pupil size were observed across all nine maps. The measured PFE was corrected by a geometric model that expressed the foreshortening of the pupil area as a function of the cosine of the angle between the eye-to-camera axis and the eye-to-stimulus axis. The model reduced the root mean squared error of pupil measurements by 82.5 % when the model parameters were pre-set to the physical layout dimensions, and by 97.5 % when they were optimized to fit the empirical error surface.     

Core Knowledge and the Emergence of Symbols: The Case of Maps

Map reading is unique to humans but is present in people of diverse cultures, at ages as young as 4 years old. Here, we explore the nature and sources of this ability and ask both what geometric information young children use in maps and what nonsymbolic systems are associated with their map-reading performance. Four-year-old children were given two tests of map-based navigation (placing an object within a small three-dimensional [3D] surface layout at a position indicated on a two-dimensional [2D] map), one focused on distance relations and the other on angle relations. Children also were given two nonsymbolic tasks, testing their use of geometry for navigation (a reorientation task) and for visual form analysis (a deviant-detection task). Although children successfully performed both map tasks, their performance on the two map tasks was uncorrelated, providing evidence for distinct abilities to represent distance and angle on 2D maps of 3D surface layouts. In contrast, performance on each map task was associated with performance on one of the two nonsymbolic tasks: Map-based navigation by distance correlated with sensitivity to the shape of the environment in the reorientation task, whereas map-based navigation by angle correlated with sensitivity to the shapes of 2D forms and patterns in the deviant-detection task. These findings suggest links between one uniquely human, emerging symbolic ability, geometric map use, and two core systems of geometry.