Reversing characters (digits and letters) when writing, and complete mirror writing, raise one of the oldest and most mysterious questions in developmental and educational psychology: Why do five-year-old children write symbols (e.g., ∃ for E) they have neither learnt nor seen? Attempts to draw up a complete explanatory theory of character reversal in writings by typically developing children were long hindered by the existence of a seemingly satisfactory explanation (left-hand writing), the failure to bring together research in neuropsychology and educational psychology, and the failure to consider the shape and structure of the characters. The present paper remedies this situation by describing a new, comprehensive theory based on recent neuropsychological findings and extensive empirical observations. The theory assumes that a character's orientation, detected in the early visual processing area, is deleted (or made inaccessible) by the mirror generalization process during transfer to memory. Consequently, there is a period, usually around age five, during which children have representations of the characters' shapes but not their orientations. Hence, when asked to write a character, children have to improvise its orientation, and the orientation they choose (implicitly, non-consciously) is often derived from the writing direction in their culture. Introduction: Historical BackgroundCharacter reversal, which results in left-right reversed characters (letters and digits) that appear normal when read in a mirror, is a major component of mirror writing. In the scientific literature, it was first described in 1878 by Buchwald, who reported several cases of character reversal in writing by patients with brain lesions and by healthy individuals, most notably children, nearly all of whom wrote with their left hand [1]. This pioneering study launched a new field of research and triggered numerous reports of mirror writing by both pathological and non-pathological individuals. Less felicitously, Buchwald's implicit suggestion that mirror writing was restricted to people who wrote with their left hand, whether naturally or deliberately, would cloud research for over a century.Erlenmeyer immediately included Buchwald's paper in his book on "Writing", quoting at length the paragraph describing children who mirror wrote with their left hand, but, when alerted to the incorrectness of their writing, wrote correctly with their right hand [2]. Furthermore, by suggesting "abductive left-hand writing" (linkshändige Abductionsschrift in German) as a more appropriate name for "mirror writing", Erlenmeyer reduced mirror writing to a mechanistic result of writing with the left hand: Characters and words are reversed when an individual writes abductively (outwards from the body midline) with the left hand.
The few studies that have analyzed the factorial structure of early number skills have mainly used confirmatory factor analysis (CFA) and have yielded inconsistent results, since early numeracy is considered to be unidimensional, multidimensional or even underpinned by a general factor. Recently, the bifactor exploratory structural equation modeling (bifactor-ESEM)—which has been proposed as a way to overcome the shortcomings of both the CFA and the exploratory structural equation modeling (ESEM)—proved to be valuable to account for the multidimensionality and the hierarchical nature of several psychological constructs. The present study is the first to investigate the dimensionality of early number skills measurement through the application of the bifactor-ESEM framework. Using data from 644 prekindergarten and kindergarten children (4 to 6 years old), several competing models were contrasted: the one-factor CFA model; the independent cluster model (ICM-CFA); the exploratory structural equation modeling (ESEM); and their bifactor counterpart (bifactor-CFA and bifactor-ESEM, respectively). Results indicated acceptable fit indexes for the one-factor CFA and the ICM-CFA models and excellent fit for the others. Among these, the bifactor-ESEM with one general factor and three specific factors (Counting, Relations, Arithmetic) not only showed the best model fit, but also the best coherent factor loadings structure and full measurement invariance across gender. The bifactor-ESEM appears relevant to help disentangle and account for general and specific factors of early numerical ability. While early numerical ability appears to be mainly underpinned by a general factor whose exact nature still has to be determined, this study highlights that specific latent dimensions with substantive value also exist. Identifying these specific facets is important in order to increase quality of early numerical ability measurement, predictive validity, and for practical implications.
Intelligent Tutoring Systems are now mature technologies that successfully help students to acquire new knowledge and competencies through various educational methods and in a personalized way. However, evaluating precisely what they recall at the end of the learning process remains a complex task. In this paper, we study if there are correlations between memory and gaze data in the context of e-education. Our long-term goal is to model the memory of students thank to an eyetracker in a continuous and transparent way. These models could then be used to adapt recommendations of pedagogical resources to the students learning rate. So as to address this research question, we designed an experiment where students were asked to learn a short lesson about Esperanto. Our results show that some gaze characteristics are correlated with recall in memory.
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