From What Age Is Mental Rotation Training Effective? Differences in Preschool Age but Not in Sex

Currently, there is evidence that spatial skills training leads to an improvement of such skills, although studies with children in the Preschool stage are very scarce. This paper aims to examine the effectiveness of mental rotation (MR) training and sex differences in preschool children. Two experiments were carried out. Experiment 1 included 59 children of 1st course (aged between 3 and 4 years) and Experiment 2, 61 children of 2nd course (aged between 4 and 5 years) of Preschool Education, distributed into control and training groups. The results showed a significant improvement in the MR ability of the training group (measured through a different test than the one used for training) only in the older children, and a tendency toward significance in the younger participants. Moreover, no sex differences in MR or group differences across age groups were found. These results regarding MR training support the malleability of spatial skills approach, particularly in 4–5 year-old preschoolers. This malleability should be enhanced in our educational system, as well as the implementation of educational and social policies that tend toward equality between sexes in the development of spatial skills. This can promote an equitable access to academic careers requiring high spatial skills such as engineering, science, technology or mathematics, in which nowadays women are underrepresented.

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title: Gender-Role Differences in Spatial Ability: A Meta-Analytic Review
abstract: Although gender-related differences in highly gender typed cognitive abilities are of considerable interest to educators and cognitive researchers alike, relatively little progress has been made in understanding the psychological processes that lead to them. Nash (1979) proposed a gender-role mediation hypothesis for such differences, with particular emphasis on spatial ability. However, changes in gender equality and gender stereotypes in the decades since merit a re-examination of whether a gender-role association still holds (Feingold 1988). A meta-analysis of 12 studies that examined gender-role identity and mental rotation performance was conducted. These included studies from the United Kingdom, Canada, Poland, Croatia, and the United States of America. The mean effect size for masculinity was r = .30 for men and r = .23 for women; no association was found between femininity and mental rotation. This effect size was slightly larger than that found previously by Signorella and Jamison (1986), and exceeds many other factors known to influence spatial ability. The implications of gender-role mediation of gender differences are discussed and future research directions are identified.

title: On gender differences in mental rotation processing speed
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title: Sex differences in chronometric mental rotation with human bodies
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title: Early sex differences in spatial skill.
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title: Mental Rotation Task Performance as a Function of Age and Training
abstract: Forty trained and untrained 5- and 8-year-olds were given Marmor's mental rotation task (MRT) to assess their use of kinetic imagery. Contrary to her findings, untrained 5-year-olds did not produce the linear relationship between reaction time and angle associated with kinetic imagery. Irrespective of training condition, 5-year-olds had high error rates for figures discrepant by more than 90°. The lack of a relationship between individual linear trends and error rates, and children's self-reported use of other strategies, suggests that there are effective strategies other than kinetic imagery for solving the MRT.

title: Mental rotation performance in fourth graders: No effects of gender beliefs (yet?)
abstract: The influence of gender beliefs on cognitive task performance has been demonstrated repeatedly for adults. For children, there is evidence that gender beliefs can substantially impede or boost math performance — a task where gender differences in favour of boys declined over past decades. Therefore, we examined this phenomenon using the Mental Rotations Test (MRT), a task where gender differences still occur reliably favouring males — for adults as well as for children. A sample of 252 fourth graders, whose beliefs about spatial ability were manipulated experimentally (instructions given: boys are better, girls are better or independent of gender) had to complete the MRT. In contrast to adult's literature, children's performance did not decrease or increase as a function of instruction: boys always outperformed girls; girls not even outperformed their same-sex counterparts given the “girls better” instruction. The transfer of the conceptual approach failed — possible reasons are discussed.

title: Training generalized spatial skills
abstract: Spatial transformation skills are an essential aspect of cognitive ability. These skills can be improved by practice, but such improvement has usually been specific to tasks and stimuli. The present study investigated whether intensive long-term practice leads to change that transcends stimulus and task parameters. Thirty-one participants (14 male, 17 female) were tested on three cognitive tasks: a computerized version of the Shepard-Metzler (1971) mental rotation task (MRT), a mental paper-folding task (MPFT), and a verbal analogies task (VAT). Each individual then participated in daily practice sessions with the MRT or the MPFT over 21 days. Postpractice comparisons revealed transfer of practice gains to novel stimuli for the practiced task, as well as transfer to the other, nonpracticed spatial task. Thus, practice effects were process based, not instance based. Improvement in the nonpracticed spatial task was greater than that in the VAT; thus, improvement was not merely due to greater ease with computerized testing.

title: Mental rotation training: transfer and maintenance effects on spatial abilities
abstract: One of the aims of research in spatial cognition is to examine whether spatial skills can be enhanced. The goal of the present study was thus to assess the benefit and maintenance effects of mental rotation training in young adults. Forty-eight females took part in the study: 16 were randomly assigned to receive the mental rotation training (based on comparing pairs of 2D or 3D objects and rotation games), 16 served as active controls (performing parallel non-spatial activities), and 16 as passive controls. Transfer effects to both untrained spatial tasks (testing both object rotation and perspective taking) and visual and verbal tasks were examined. Across the training sessions, the group given mental rotation training revealed benefits in the time it took to make judgments when comparing 3D and 2D objects, but their mental rotation speed did not improve. When compared with the other groups, the mental rotation training group did show transfer effects, however, in tasks other than those practiced (i.e., in object rotation and perspective-taking tasks), and these benefits persisted after 1 month. The training had no effect on visual or verbal tasks. These findings are discussed from the spatial cognition standpoint and with reference to the (rotation) training literature.

title: Improvement of Mental Rotation in Girls and Boys
abstract: The improvement of spatial capacities poses a challenge to science and education. Mental rotation is an important component of this intellectual potential. In this study, we examined the effect of an intervention program on the performance of a mental-rotation task and the transfer of learning to a visualization test. As gender differences in spatial abilities are decreasing, we expected that the intervention would be equally beneficial for boys and girls. The sample was made up of 218 participants (108 boys and 110 girls), mean age of 14 years. A 2 × 2 (intervention × sex) factorial design was employed. Treatment consisted of task performance on 12 mental-rotation worksheets during a 2-month interval, with pre- and posttreatment evaluations of the criterion variables. Data were analyzed with descriptive and inferential statistical techniques, which showed that the treatment produced the expected effects. Relevant consequences for education and research are discussed.

title: The Mental Cutting Test "Schnitte" and the Picture Rotation Test-Two New Measures to Assess Spatial Ability
abstract: Two new measures to assess spatial ability are presented: the mental cutting test "Schnitte" (Fay & Quaiser-Pohl, 1999;  Fay, Quaiser-Pohl, & Ronicke, 2003), a test for selecting people with extraordinary spatial abilities, and the Picture Rotation Test (Hinze, 2002; Hinze & Quaiser-Pohl, 2003), a mental rotation test for preschool children. Both overcome some of the limits of traditional spatial ability testing: (a) Most spatial problems are also "visually" and "analytically" solvable, and (b) there is a lack of standardized tests for preschool children. The ideas of both tests are described as well as their developmental processes. In addition, the results of the first evaluations of both tests are reported.

title: Durable and generalized effects of spatial experience on mental rotation: gender differences in growth patterns
abstract: This study addressed questions about improvement in mental rotation skills: (1) whether growth trajectories differ for men and women with higher or lower spatial experience, (2) whether videogame training has effects on performance and leads to transfer, (3) whether effects of repeated testing or training effects are durable and (4) whether transfer is durable. Undergraduates participated in repeated testing on the MRT or played the videogame Tetris. Analyses showed large improvements in mental rotation with both repeated testing and training; these gains were maintained several months later. MRT scores of men and women did not converge, but men showed faster initial growth and women showed more improvement later. Videogame training showed greater initial growth than repeated testing alone, but final performance did not differ. Effects of videogame training transferred to other spatial tasks exceeding the effects of repeated testing, and this transfer advantage was still evident after several months.

title: The malleability of spatial skills: a meta-analysis of training studies.
abstract: Having good spatial skills strongly predicts achievement and attainment in science, technology, engineering, and mathematics fields (e.g., Shea, Lubinski, & Benbow, 2001; Wai, Lubinski, & Benbow, 2009). Improving spatial skills is therefore of both theoretical and practical importance. To determine whether and to what extent training and experience can improve these skills, we meta-analyzed 217 research studies investigating the magnitude, moderators, durability, and generalizability of training on spatial skills. After eliminating outliers, the average effect size (Hedges's g) for training relative to control was 0.47 (SE = 0.04). Training effects were stable and were not affected by delays between training and posttesting. Training also transferred to other spatial tasks that were not directly trained. We analyzed the effects of several moderators, including the presence and type of control groups, sex, age, and type of training. Additionally, we included a theoretically motivated typology of spatial skills that emphasizes 2 dimensions: intrinsic versus extrinsic and static versus dynamic (Newcombe & Shipley, in press). Finally, we consider the potential educational and policy implications of directly training spatial skills. Considered together, the results suggest that spatially enriched education could pay substantial dividends in increasing participation in mathematics, science, and engineering.

title: Number-Space Mapping in Human Infants
abstract: Mature representations of number are built on a core system of numerical representation that connects to spatial representations in the form of a mental number line. The core number system is functional in early infancy, but little is known about the origins of the mapping of numbers onto space. In this article, we show that preverbal infants transfer the discrimination of an ordered series of numerosities to the discrimination of an ordered series of line lengths. Moreover, infants construct relationships between numbers and line lengths when they are habituated to unordered pairings that vary positively, but not when they are habituated to unordered pairings that vary inversely. These findings provide evidence that a predisposition to relate representations of numerical magnitude to spatial length develops early in life. A central foundation of mathematics, science, and technology therefore emerges prior to experience with language, symbol systems, or measurement devices.

title: Early math matters: kindergarten number competence and later mathematics outcomes.
abstract: Children's number competencies over 6 time points, from the beginning of kindergarten to the middle of 1st grade, were examined in relation to their mathematics achievement over 5 later time points, from the end of 1st grade to the end of 3rd grade. The relation between early number competence and mathematics achievement was strong and significant throughout the study period. A sequential process growth curve model showed that kindergarten number competence predicted rate of growth in mathematics achievement between 1st and 3rd grades as well as achievement level through 3rd grade. Further, rate of growth in early number competence predicted mathematics performance level in 3rd grade. Although low-income children performed more poorly than their middle-income counterparts in mathematics achievement and progressed at a slower rate, their performance and growth were mediated through relatively weak kindergarten number competence. Similarly, the better performance and faster growth of children who entered kindergarten at an older age were explained by kindergarten number competence. The findings show the importance of early number competence for setting children's learning trajectories in elementary school mathematics.

title: Spatial Training Improves Children's Mathematics Ability
abstract: We tested whether mental rotation training improved math performance in 6- to 8-year-olds. Children were pretested on a range of number and math skills. Then one group received a single session of mental rotation training using an object completion task that had previously improved spatial ability in children this age (Ehrlich, Levine, & Goldin-Meadow, 2006). The remaining children completed crossword puzzles instead. Children's posttest scores revealed that those in the spatial training group improved significantly on calculation problems. In contrast, children in the control group did not improve on any math tasks. Further analyses revealed that the spatial training group's improvement was largely due to better performance on missing term problems (e.g., 4 + ____ = 11).

title: Processing of space, time, and number contributes to mathematical abilities above and beyond domain-general cognitive abilities.
abstract: The current study investigated whether processing of number, space, and time contributes to mathematical abilities beyond previously known domain-general cognitive abilities in a sample of 8- to 10-year-old children (N=133). Multiple regression analyses revealed that executive functions and general intelligence predicted all aspects of mathematics and overall mathematical ability. Working memory capacity did not contribute significantly to our models, whereas spatial ability was a strong predictor of achievement. The study replicates earlier research showing that non-symbolic number processing seems to lose predictive power of mathematical abilities once the symbolic system is acquired. Novel findings include the fact that time discrimination ability was tied to calculation ability. Therefore, a conclusion is that magnitude processing in general contributes to mathematical achievement.

title: Separate but correlated: The latent structure of space and mathematics across development.
abstract: The relations among various spatial and mathematics skills were assessed in a cross-sectional study of 854 children from kindergarten, third, and sixth grades (i.e., 5 to 13 years of age). Children completed a battery of spatial mathematics tests and their scores were submitted to exploratory factor analyses both within and across domains. In the within domain analyses, all of the measures formed single factors at each age, suggesting consistent, unitary structures across this age range. Yet, as in previous work, the 2 domains were highly correlated, both in terms of overall composite score and pairwise comparisons of individual tasks. When both spatial and mathematics scores were submitted to the same factor analysis, the 2 domain specific factors again emerged, but there also were significant cross-domain factor loadings that varied with age. Multivariate regressions replicated the factor analysis and further revealed that mental rotation was the best predictor of mathematical performance in kindergarten, and visual-spatial working memory was the best predictor of mathematical performance in sixth grade. The mathematical tasks that predicted the most variance in spatial skill were place value (K, 3rd, 6th), word problems (3rd, 6th), calculation (K), fraction concepts (3rd), and algebra (6th). Thus, although spatial skill and mathematics each have strong internal structures, they also share significant overlap, and have particularly strong cross-domain relations for certain tasks.

title: Experimental But Not Sex Differences of a Mental Rotation Training Program on Adolescents
abstract: Given the importance of visuospatial processing in areas related to the STEM (Science, Technology, Engineering, and Mathematics) disciplines, where there is still a considerable gap in the area of sex differences, the interest in the effects of visuospatial skills training continues to grow. Therefore, we have evaluated the visuospatial improvement of adolescents after performing a computerized mental rotation training program, as well as the relationship of this visuospatial ability with other cognitive, emotional factors and those factors based on the experience with videogames. The study, which was performed on students aged 14 and 15 years old, showed a significant improvement in this visuospatial skill for a training group (n = 21) compared to a control group (n = 24). Furthermore, no significant sex differences were obtained for spatial ability or for any of the other tasks evaluated, either before or after training. Regarding the relationship between skills, a significant correlation between experience with video games and spatial ability was found, as well as between mathematical reasoning and intelligence and with spatial ability in the initial phase for the total sample. These findings are discussed from a cognitive point of view and within the current sociocultural context, where the equal use of new technologies could help reduce the visuospatial gap between sexes.

title: Robot Manipulations: A Synergy of Visualization, Computation and Action for Spatial Instruction
abstract: This article considers the use of a learning environment, RoboCell, where manipulations of objects are performed by robot operations specified through the learner's application of mathematical and spatial reasoning. A curriculum is proposed relating to robot kinematics and point-to-point motion, rotation of objects, and robotic assembly of spatial puzzles. Various instructional methods are supported by the RoboCell robot system, such as interactive demonstrations, modeling, computer simulations and robot operations, providing diverse activities in spatial perception, mental rotation and visualization. Pre-course and post-course tests in two middle schools and a high school indicated significant student progress in the tasks related to the categories of spatial ability which were practiced in the course.

title: Training in Spatial Visualization: The Effects of Training Method and Gender
abstract: This paper reports the findings from an experimental study involving thirty three secondary school students (mean age = 15.5 years) in spatial visualization (SV) training through an interactive desktop virtual environment spatial trainer (iDVEST). Stratified random sampling was used to assign students into two experimental groups and one control group. The first experimental group trained in interaction-enabled DVEST (i-DVEST), the second experimental group trained in animation-enhanced DVEST (a-DVEST), and the control group received conventional training. A multi-factorial pretest posttest design procedure was used and data were analyzed using 2-way ANCOVA. Participants trained in i-DVEST made the highest improvement gain in SV, followed by those trained in a-DVEST, and the control group achieved the lowest improvement gain. In general, male participants achieved higher SV improvement gain compared to female participants. Interaction effect between method of training and gender was observed indicating that male students tended to benefit more when trained in i-DVEST, moderately in a-DVEST, and poorly in conventional method. On the other hand, female students seemed to benefit from training irrespective of the method used.