Model-based evaluation of spatiotemporal data reduction methods with unknown ground truth through optimal visualization and interpretability metrics.

Optimizing and benchmarking data reduction methods for dynamic or spatial visualization and interpretation (DSVI) face challenges due to many factors, including data complexity, lack of ground truth, time-dependent metrics, dimensionality bias and different visual mappings of the same data. Current studies often focus on independent static visualization or interpretability metrics that require ground truth. To overcome this limitation, we propose the MIBCOVIS framework, a comprehensive and interpretable benchmarking and computational approach. MIBCOVIS enhances the visualization and interpretability of high-dimensional data without relying on ground truth by integrating five robust metrics, including a novel time-ordered Markov-based structural metric, into a semi-supervised hierarchical Bayesian model. The framework assesses method accuracy and considers interaction effects among metric features. We apply MIBCOVIS using linear and nonlinear dimensionality reduction methods to evaluate optimal DSVI for four distinct dynamic and spatial biological processes captured by three single-cell data modalities: CyTOF, scRNA-seq and CODEX. These data vary in complexity based on feature dimensionality, unknown cell types and dynamic or spatial differences. Unlike traditional single-summary score approaches, MIBCOVIS compares accuracy distributions across methods. Our findings underscore the joint evaluation of visualization and interpretability, rather than relying on separate metrics. We reveal that prioritizing average performance can obscure method feature performance. Additionally, we explore the impact of data complexity on visualization and interpretability. Specifically, we provide optimal parameters and features and recommend methods, like the optimized variational contractive autoencoder, for targeted DSVI for various data complexities. MIBCOVIS shows promise for evaluating dynamic single-cell atlases and spatiotemporal data reduction models.

Cognitive Foundations of Early Mathematics: Investigating the Unique Contributions of Numerical, Executive Function, and Spatial Skills.

There is an emerging consensus that numerical, executive function (EF), and spatial skills are foundational to children's mathematical learning and development. Moreover, each skill has been theorized to relate to mathematics for different reasons. Thus, it is possible that each cognitive construct is related to mathematics through distinct pathways. The present study tests this hypothesis. One-hundred and eighty 4- to 9-year-olds (Mage = 6.21) completed a battery of numerical, EF, spatial, and mathematics measures. Factor analyses revealed strong, but separable, relations between children's numerical, EF, and spatial skills. Moreover, the three-factor model (i.e., modelling numerical, EF, and spatial skills as separate latent variables) fit the data better than a general intelligence (g-factor) model. While EF skills were the only unique predictor of number line performance, spatial skills were the only unique predictor of arithmetic (addition) performance. Additionally, spatial skills were related to the use of more advanced addition strategies (e.g., composition/decomposition and retrieval), which in turn were related to children's overall arithmetic performance. That is, children's strategy use fully mediated the relation between spatial skills and arithmetic performance. Taken together, these findings provide new insights into the cognitive foundations of early mathematics, with implications for assessment and instruction moving forward.

Spatial Visualization Supports Students' Math: Mechanisms for Spatial Transfer.

The present study conducted a randomized control trial to assess the efficacy of two spatial intervention programs aimed to improve Grade 4 (N = 287) students' spatial visualization skills and math performance. The first treatment (N = 98) focused on isolated spatial training that included 40 min of digital spatial training across fourteen weeks. The second treatment (N = 92) embedded spatial visualization skill development into math lessons, along with the digital spatial training that provided practice of the newly acquired skills. A business-as-usual group acted as a control (N = 97). Engagement with the embedded intervention program (i.e., both lessons and digital training) showed large additive effects, highlighting the role of spatial reasoning tools to support the transfer of spatial reasoning to math. The isolated intervention program with the digital spatial training had a transfer effect on math, compared to a business-as-usual control, while spatial reasoning improvements for this group were mixed. The spatial skills targeted in the digital training had a mediation effect on math performance, despite not increasing in the pre-post-test design. The effects of the digital training cohort were moderated by initial spatial skill, with students with lower spatial reasoning making the least gains in math.

Spatial and neighborhood-level correlates of lay naloxone reversal events and service availability.

BACKGROUND: The opioid epidemic in the United States continues to surge, reaching record deaths from opioid and fentanyl overdoses in 2020. This study analyzes spatial and neighborhood correlates of free naloxone distribution sites as well as overdose and naloxone reversal events in Baltimore, Maryland, which has one of the highest overdose rates in the country. METHODS: Using data from a randomized clinical trial on HIV prevention among people using substances in Baltimore, Maryland, as well as demographic data from the US Census Bureau, we conducted: (1) exploratory spatial visualizations of census tracts' minimum distance to naloxone distribution sites, (2) univariable Wilcoxon rank-sum tests to compare census tracts on demographic metrics, and (3) bivariable and multivariable negative binomial regression models to assess associations between census tract characteristics and naloxone reversal events. RESULTS: Valid geographic data were provided for 518 overdose events involving either fentanyl or heroin in this study. Of these, 190 (37%) attempted naloxone reversal events were reported. Exploratory spatial visualization techniques suggest that most distribution sites are appropriately located near populations at high risk of overdose, but study findings also identify areas where drug use and overdoses occur that are located farther from distribution sites. In multivariable analyses, naloxone administration was significantly and inversely associated with distance to the nearest distribution site (incidence rate ratio (IRR)=0.72 per 1000m increase, 95% CI 0.59-0.89, p=0.002). CONCLUSION: Study findings emphasize the correlation between proximity to naloxone sites and utilization of resources, highlighting that physical proximity to harm reduction resources may contribute to uptake. Results further underscore that research on service accessibility and utilization must consider the spatial distribution of health services.

Spatial skills and number skills in preschool children: The moderating role of spatial anxiety.

Spatial ability is a strong and stable predictor of mathematical performance. However, of the three key components of spatial ability, spatial perception and spatial visualization have received less attention than mental rotation in relation to specific mathematical competencies of young children. Even less is known about the role of spatial anxiety in this relationship. This study examined the longitudinal relations of spatial perception and spatial visualization to three number skills (i.e., number line estimation, subitizing, and word problem-solving) among 190 preschool children, and whether these relations varied as a function of spatial anxiety. The results showed that children's spatial perception and spatial visualization skills, measured in the third preschool year (Time 1 [T1]), were positively associated with their word problem-solving six months later (Time 2 [T2]). Children's T1 spatial perception was also positively associated with their T2 subitizing and number line skills. In addition, T1 spatial anxiety moderated the relation between T1 spatial perception and T2 subitizing: the relation between the two was stronger for children with low levels of spatial anxiety than it was for those with moderate or high levels. The findings offer valuable insights into how spatial cognition and affect jointly relate to children's early number skills.

Spatial Visualization of Human Anatomy through Art Using Technical Drawing Exercises.

Spatial visualization, the ability to mentally rotate three-dimensional (3D) images, plays a significant role in anatomy education. This study examines the impact of technical drawing exercises on the improvement of spatial visualization and anatomy education in a Neuroscience course. First-year medical students (n = 84) were randomly allocated into a control group (n = 41) or art-training group (n = 43). Variables including self-reported artistic drawing ability, previous technical drawing experience, or previous anatomy laboratory exposure were gathered. Participants who self-identified as artistic individuals were equally distributed between the two groups. Students in the art-training group attended four 1-hour sessions to solve technical drawing worksheets. All participants completed two Mental Rotations Tests (MRT), which were used to assess spatial visualization. Data were also collected from two neuroscience written examinations and an anatomical "tag test" practical examination. Participants in the art-training and control groups improved on the MRT. The mean of written examination two was significantly higher (P = 0.007) in the art-training group (12.95) than the control group (11.48), and higher (P = 0.027) in those without technical drawing experience (12.44) than those with (11.00). The mean of the anatomical practical was significantly higher (P = 0.010) in those without artistic ability (46.24) than those with (42.00). These results suggest that completing technical drawing worksheets may aid in solving anatomy-based written examination questions on complex brain regions, but further research is needed to determine its implication on anatomy practical scores. These results propose a simple method of improving spatial visualization in anatomy education.

Corrigendum: Spatial Skills Associated With Block-Building Complexity in Preschoolers.

[This corrects the article DOI: 10.3389/fpsyg.2020.563493.].

Developmental Trajectories in Spatial Visualization and Mental Rotation in Individuals with Down Syndrome.

BACKGROUND: The analysis of developmental trajectories of visuospatial abilities in individuals with Down Syndrome (DS) remains an unexplored field of investigation to examine in depth. The study aimed to fill such a gap by examining changes in two visuospatial abilities: spatial visualization (the ability to manage spatial stimuli) and mental rotation (the ability to rotate spatial stimuli). METHOD: Eighty-seven participants with DS, aged between 7 and 53 years (forty-seven males and forty females), completed spatial visualization and mental rotation tasks. Changes in these two abilities were analyzed in relation to chronological age and developmental level, the latter derived from Raven's Colored Progressive Matrices. RESULTS: Chronological age was linearly associated with spatial visualization performance, whereas mental rotation performance increased until 14 years of age and then decreased. Developmental level was linearly associated with increased performance in spatial visualization, the trend in mental rotation was segmented with an increase after 5 years of age. Furthermore, developmental trajectories in mental rotation depended on the rotation degree. CONCLUSION: Chronological age explains a modest quote of variance. Developmental level better describes changes in spatial visualization and mental rotation of individuals with DS.

Androgen receptor polymorphism, mental rotation, and spatial visualization in men.

Circulating levels of testosterone (T) have been hypothesized to influence spatial cognition in adult men, but empirical support for this idea is mixed. Many of testosterone's effects are mediated by the classic nuclear androgen receptor (AR), which contains a polymorphic glutamine repeat (CAG repeat sequence) that varies significantly across individual men and confers differences in receptor function and therefore individual responsivity to T. We genotyped the AR CAG repeat length in 146 healthy adult men who also performed cognitive tests of mental rotation and spatial visualization. Circulating T concentrations were measured in saliva. CAG repeat length was found to be a significant predictor of spatial scores on tests of visualization but not mental rotation. A weaker AR was associated with lower visualization scores. In contrast, T itself, but not CAG repeat length predicted scores on two mental rotation tests. These results support the view that T action in the brain modestly influences spatial cognition in healthy men, but suggest that T's effects on mental rotation might not be AR-dependent and instead occur through an alternative mechanism.

Erratum: Spatial Skills Associated With Block-Building Complexity in Preschoolers.

[This corrects the article DOI: 10.3389/fpsyg.2020.563493.].

COVID-19 spatiotemporal research with workflow-based data analysis.

Given the pertinence and acceleration of the spread of COVID-19, there is an increased need for the replicability of data models to verify the veracity of models and visualize important data. Most of these visualizations lack reproducibility, credibility, or accuracy, and are static, which makes it difficult to analyze the spread over time. Furthermore, most current visualizations depicting the spread of COVID-19 are at a global or country level, meaning there is a dearth of regional analysis within a country. Keeping these issues in mind, a replicable, efficient, and simple method to generate regional COVID-19 visualizations mapped with time was created by using the KNIME software, an open-source data analytics platform that can create user-friendly applications or workflows. For this analysis, Albania, Sweden, Ukraine, Denmark, Russia, India, and Australia were closely observed. Among the maps generated for the aforementioned countries, it was noticed that regions with a high population or high population density were often the epicenters within their respective country. The regions caused the virus to spread to their neighboring regions: kickstarting the "domino effect", leading to the infection of another region until the country is overwhelmed with cases-what we call a proximity trend. These dynamic maps are crucial to fighting the pandemic because they can provide insight as to how COVID-19 spreads by providing researchers or officials with an accurate and insightful tool to aid their analysis. By being able to visualize the spread, health and government officials can dive deeper to identify the sources of transmission and attempt to stop or reverse them accordingly.

Spatial Skills Associated With Block-Building Complexity in Preschoolers.

Block building is a popular play activity among young children and is also used by psychologists to assess their intelligence. However, little research has attempted to systematically explore the cognitive bases of block-building ability. The current study (N = 66 Chinese preschoolers, 32 boys and 34 girls; mean age = 4.7 years, SD = 0.29, range = 3.4 to 5.2 years) investigated the relationships between six measures of spatial skills (shape naming, shape recognition, shape composition, solid figure naming, cube transformation, and mental rotation, with the former four representing form perception and the latter two representing visualization) and block-building complexity. Correlation results showed that three of the four measures of form perception (shape naming, shape recognition, and shape composition) were significantly and positively correlated with block-building complexity, whereas the two measures of visualization were not. Results from regression models indicated that shape recognition and shape composition, as well as shape-recognition-by-gender interaction, were unique predictors of children's block-building complexity. These findings provide preliminary evidence for the basic spatial skills underlying children's block-building complexity and have implications for classroom instructions aimed at improving preschoolers' block-building complexity.

Individual differences in visualization and childhood play preferences.

Our research explored the structure of childhood visual play preferences, and examined different types of visual play in relation to individual differences in visualization and aptitudes in academic specializations requiring visualization skills. Principal component analysis dissociated visual-object play (e.g., exploring drawing media or decorative crafts) from visual-spatial play (e.g., assembling and disassembling mechanisms or playing with construction toys) preferences. Moreover, visual play preferences were dissociated from verbal play preferences (e.g., vocabulary games or making up stories). The structure of visual play preferences was consistent with object and spatial dimensions of individual differences in visualization. Visual-object and visual-spatial dimensions of play preferences were differentially related to measures of object visualization (processing pictorial appearances in terms of shape, texture, and color) versus spatial visualization (processing spatial relationships and spatial manipulations), as well as to aptitudes in artistic versus scientific domains. Furthermore, our research sheds new light on sex differences in play behavior: Previous studies commonly associated gender-specific play with visual versus verbal-social processing; our research demonstrated sex differences in play preferences across the two dimensions of visual play, where females preferred visual-object and males preferred visual-spatial play. Moreover, we found the object vs. spatial structure of visual play preferences was largely the same in both sexes, suggesting that differences in visual play preferences cannot be reduced to sex differences. Also, our questionnaire assessing visual-object, visual-spatial and verbal play preferences, developed for research purposes, demonstrated good reliability. Its two scales, assessing visual-object and visual-spatial play preferences, discriminatively correlated with assessments of individual differences in object and spatial visualization, respectively. This research creates a basis for further creation of comprehensive measures of visual play preferences, and should stimulate future studies examining visual play preferences and how they may create developmental opportunities for skills and preferences lasting into adulthood.

Predicting Spatial Visualization Problems' Difficulty Level from Eye-Tracking Data.

The difficulty level of learning tasks is a concern that often needs to be considered in the teaching process. Teachers usually dynamically adjust the difficulty of exercises according to the prior knowledge and abilities of students to achieve better teaching results. In e-learning, because there is no teacher involvement, it often happens that the difficulty of the tasks is beyond the ability of the students. In attempts to solve this problem, several researchers investigated the problem-solving process by using eye-tracking data. However, although most e-learning exercises use the form of filling in blanks and choosing questions, in previous works, research focused on building cognitive models from eye-tracking data collected from flexible problem forms, which may lead to impractical results. In this paper, we build models to predict the difficulty level of spatial visualization problems from eye-tracking data collected from multiple-choice questions. We use eye-tracking and machine learning to investigate (1) the difference of eye movement among questions from different difficulty levels and (2) the possibility of predicting the difficulty level of problems from eye-tracking data. Our models resulted in an average accuracy of 87.60% on eye-tracking data of questions that the classifier has seen before and an average of 72.87% on questions that the classifier has not yet seen. The results confirmed that eye movement, especially fixation duration, contains essential information on the difficulty of the questions and it is sufficient to build machine-learning-based models to predict difficulty level.

What explains the relationship between spatial and mathematical skills? A review of evidence from brain and behavior.

There is an emerging consensus that spatial thinking plays a fundamental role in how people conceive, express, and perform mathematics. However, the underlying nature of this relationship remains elusive. Questions remain as to how, why, and under what conditions spatial skills and mathematics are linked. This review paper addresses this gap. Through a review and synthesis of research in psychology, neuroscience, and education, we examine plausible mechanistic accounts for the oft-reported close, and potentially causal, relations between spatial and mathematical thought. More specifically, this review targets candidate mechanisms that link spatial visualization skills and basic numerical competencies. The four explanatory accounts we describe and critique include the: (1) Spatial representation of numbers account, (2) shared neural processing account, (3) spatial modelling account, and (4) working memory account. We propose that these mechanisms do not operate in isolation from one another, but in concert with one another to give rise to spatial-numerical associations. Moving from the theoretical to the practical, we end our review by considering the extent to which spatial visualization abilities are malleable and transferrable to numerical reasoning. Ultimately, this paper aims to provide a more coherent and mechanistic account of spatial-numerical relations in the hope that this information may (1) afford new insights into the uniquely human ability to learn, perform, and invent abstract mathematics, and (2) on a more practical level, prove useful in the assessment and design of effective mathematics curricula and intervention moving forward.

Make-A-Dice Test: Assessing the intersection of mathematical and spatial thinking.

Individuals with better spatial thinking have increased interest and greater achievement in science, technology, engineering, and mathematics (STEM) disciplines (Wai, Lubinski, & Benbow in Journal of Educational Psychology, 101, 817-835, 2009). This relationship means that STEM education may benefit from leveraging spatial thinking, but measures of spatial thinking as they relate to specific STEM disciplines are needed. The present work presents an assessment of spatial and mathematical reasoning, called Make-A-Dice. In Make-A-Dice, individuals are presented with a cube net (i.e., a flattened cube) with numbers on two sides. Their goal is to "make a dice" by filling in the blank sides using two rules: opposite sides add to 7, and the numbers 1 through 6 should be used once each. Make-A-Dice was given to adults (Study 1) and elementary students (Studies 2 and 3) along with math, spatial, and other measures, across two sessions in all studies. Make-A-Dice had both internal and test-retest reliability, with items ordered by difficulty. Furthermore, performance was related to spatial and mathematical reasoning. In Study 1, adults reported a range of strategies used to complete Make-A-Dice, and one strategy predicted performance. Studies 2 and 3 showed that Make-A-Dice is age-appropriate for elementary students. Make-A-Dice shows promise as an individual-difference measure linking spatial and mathematical thinking and has the potential to identify elementary-aged children who may benefit from spatial training.

Relations between numerical, spatial, and executive function skills and mathematics achievement: A latent-variable approach.

Current evidence suggests that numerical, spatial, and executive function (EF) skills each play critical and independent roles in the learning and performance of mathematics. However, these conclusions are largely based on isolated bodies of research and without measurement at the latent variable level. Thus, questions remain regarding the latent structure and potentially shared and unique relations between numerical, spatial, EF, and mathematics abilities. The purpose of the current study was to (i) confirm the latent structure of the hypothesized constructs of numerical, spatial, and EF skills and mathematics achievement, (ii) measure their unique and shared relations with one another, and (iii) test a set of novel hypotheses aimed to more closely reveal the underlying nature of the oft reported space-math association. Our analytical approach involved latent-variable analyses (structural equation modeling) with a sample of 4- to 11-year-old children (N = 316, Mage = 6.68 years). Results of a confirmatory factor analysis demonstrated that numerical, spatial, EF, and mathematics skills are highly related, yet separable, constructs. Follow-up structural analyses revealed that numerical, spatial, and EF latent variables explained 84% of children's mathematics achievement scores, controlling for age. However, only numerical and spatial performance were unique predictors of mathematics achievement. The observed patterns of relations and developmental trajectories remained stable across age and grade (preschool - 4th grade). Follow-up mediation analyses revealed that numerical skills, but not EF skills, partially mediated the relation between spatial skills and mathematics achievement. Overall, our results point to spatial visualization as a unique and robust predictor of children's mathematics achievement.

Spatial Visualization ability improves with and without studying Technical Drawing.

The results of several studies suggest that spatial ability can be improved through direct training with tasks similar to those integrated in the tests used to measure the ability. However, there is a greater interest in analyzing the effectiveness of indirect training such as games or of learning subjects that involve spatial processes to a certain extent. Thus, the objective of the present study was to analyze whether the indirect training in Technical Drawing improved the Spatial Visualization ability of Architecture students. For this purpose, a group of students enrolled in Fundamentals of Architecture were administered two tests, a Spatial Visualization task and an Abstract Reasoning task, at the beginning and the end of a semester, after having received training through the subjects "Technical Drawing I: Geometry and Perception" and "Projects I." The results of this group were compared with those of a control group of students enrolled in a Mathematics degree, who were also pre-post evaluated but had not received the training in Technical Drawing. The study showed a significant pre-post improvement in both, Visualization and reasoning. However, this improvement occurred in both groups, thereby concluding that this improvement was not due to indirect training. Furthermore, no significant differences were found between men and women in any of the groups or conditions. These results clarify those of an earlier study where improvement in Visualization after training in Technical Drawing was found but did not include a comparison with a control condition. The control condition has proved to be important in order to consider the limitations of the effect of Technical Drawing on said improvement.

Think3d!: Improving mathematics learning through embodied spatial training.

Spatial thinking skills positively relate to Science, Technology, Engineering, and Math (STEM) outcomes, but spatial training is largely absent in elementary school. Elementary school is a time when children develop foundational cognitive skills that will support STEM learning throughout their education. Spatial thinking should be considered a foundational cognitive skill. The present research examined the impact of an embodied spatial training program on elementary students' spatial and mathematical thinking. Students in rural elementary schools completed spatial and math assessments prior to and after participating in an origami and pop-up paper engineering-based program, called Think3d!. Think3d! uses embodied tasks, such as folding and cutting paper, to train two-dimensional to three-dimensional spatial thinking. Analyses explored spatial thinking gains, mathematics gains - specifically for problem types expected to show gains from spatial training - and factors predicting mathematics gains. Results showed spatial thinking gains in two assessments. Using a math categorization to target problems more and less likely to be impacted by spatial training, we found that all students improved on real-world math problems and older students improved on visual and spatial math problems. Further, the results are suggestive of developmental time points for implementing embodied spatial training related to applying spatial thinking to math. Finally, the spatial thinking assessment that was most highly related to training activities also predicted math performance gains. Future research should explore developmental issues related to how embodied spatial training might support STEM learning and outcomes.

Learning from the surgeon's real perspective - First-person view versus laparoscopic view in e-learning for training of surgical skills? Study protocol for a randomized controlled trial.

BACKGROUND: Surgical proficiency is highly dependent on continuous and efficient training. However, efficacy of training hinges on questions such as accessibility and how intuitively the training can be translated into reality. Minimally invasive surgery (MIS) in particular relies on adequate training modalities in order to compensate for its additional psychomotor and visuospatial challenges. The increasing demand for MIS procedures longs for further enhancement of training and steep learning curves. We are investigating a nouveau training concept that continuously utilizes the first person view as addendum to laparoscopic view. We hypothesize this approach to be more intuitive thus faster and more naturally to apprehend than a laparoscopic view only and aim to establish a new standard to implement into training curricula. METHODS AND ANALYSIS: The present study is conducted as a monocentric, two-arm randomized trial. Participants undergo a training curriculum in laparoscopic suturing and knot tying, using e-learning video material with either the first-person perspective of the surgeon or the laparoscopic view only. Primary endpoint is the total training time needed to reach a predefined proficiency level. Participants are evaluated by blinded raters using validated checklists. Number of attempts, procedure and knot quality subscore difference as well as metric parameter analysis from the first and last knots analyzed as secondary endpoints. Furthermore, trainees are assessed with regard to surgical background, basic skills level and spatial awareness. A total sample size of 80 participants for the analysis of the primary endpoint was determined, which will be performed as a two-sided t-test. ETHICS AND DISSEMINATION: Ethical approval was obtained from the Ethics Committee of the Medical Faculty at Heidelberg University (Code S-334/2011). This trial was registered with the German Clinical Trials Register (DRKS) in Freiburg, Germany, on May 6th (DRKS00009997). The results will be published and presented at appropriate conferences.