Abstract
Young children, who are exposed to Latin script letters, experience difficulties in distinguishing between the reversible letters b and d and may therefore transform b into d (and vice versa). When children begin to write, in cultures with left-to-right writing/reading systems, they also often turn Arabic digits in the direction of writing/reading, thus, for example, producing ε instead of 3. However, two different terms or processes, namely, confusion and reversal, are used in the literature to label these apparent transformations. This study aimed to provide empirical evidence that the two processes are indeed very different. The sample consisted of 529 first graders (Mage = 6.21 years) who participated in the French National Assessment at the beginning of the school year. Simple linear, Bayesian, and logistic regression modeling of the left–right reversal rate in writing digits as a function of the confusion rate in children’s recognition of the letters b and d showed a negative relationship between the two rates, and a nonparametric test yielded a significant negative correlation (rS(318) = –0.373, p < .001). These results seem to rule out the possibility that the same process leads to reversing characters (letters or digits) in writing and misrecognizing b as d (or vice versa). This is the first study reporting strong empirical evidence that the processes of reversal and confusion are very different. Consequently, it would be a mistake to treat confusion between b and d as the reversal of b into d (and vice versa).
Similar content being viewed by others
Data Availability
The data that support the findings of this study are available from the corresponding author upon reasonable request.
Code availability
(Software application or custom code): The program used R is free.
Notes
The rule applies only to the writing of characters and thus makes no assumption about a more frequent recognition of b as d than of d as b (see the distinguishing of d-type letters from b-type letters by Treiman and Kessler, 2011).
In France, écoles maternelles (preschools) are open to all children aged at least 3 years. Almost all children attend at least the second year (middle section, 4- to 5 years of age) and the final year (upper section, 5 to 6.5 years of age).
References
Ahr, E., Houdé, O., & Borst, G. (2016). Inhibition of the mirror generalization process in reading in school-aged children. Journal of Experimental Child Psychology, 145, 157–165. https://doi.org/10.1016/j.jecp.2015.12.009
Brault-Foisy, L. M., Ahr, E., Masson, S., Houdé, O., & Borst, G. (2017). Is inhibitory control involved in discriminating pseudowords that contain the reversible letters b and d? Journal of Experimental Child Psychology, 162, 259–267. https://doi.org/10.1016/j.jecp.2017.05.011
Brendler, K., & Lachmann, T. (2001). Letter reversals in the context of the Functional Coordination Deficit Model of developmental dyslexia. In E. Sommerfeld, R. Kompass, & T. Lachmann (Eds.), Proceedings of the International Society for Psychophysics (pp. 308–313). Pabst Science Publishers
Cantlon, J. F. (2020). The balance of rigor and reality in developmental neuroscience. NeuroImage, 216, 116464. https://doi.org/10.1016/j.neuroimage.2019.116464
Cohen, J. (1988). Statistical power analysis for the behavioral sciences. Taylor & Francis.
Corballis, M. C. (2018). Mirror-image equivalence and interhemispheric mirror-image reversal. Frontiers in Human Neuroscience, 12, 140. https://doi.org/10.3389/fnhum.2018.00140
Corballis, M. C., & Beale, I. L. (1976). The psychology of left and right. Erlbaum.
Cotter, S. A., Rouse, M. W., & DeLand, P. N. (1987). Comparative study of the Jordan left-right reversal test, the reversals frequency test, and teachers’ observations. American Journal of Optometry and Physiological Optics, 64(3), 195–203.
D’Mello, S., Lehman, B., Pekrun, R., & Graesser, A. (2014). Confusion can be beneficial for learning. Learning and Instruction, 29, 153–170. https://doi.org/10.1016/j.learninstruc.2012.05.003
Davidson, H. P. (1935). A study of the confusing letters b, d, p, and q. The Pedagogical Seminary and Journal of Genetic Psychology, 47(2), 458–468. https://doi.org/10.1080/08856559.1935.10534056
Dehaene, S. (2009). Reading in the brain: The new science of how we read. Penguin Books.
Fernandes, T., Arunkumar, M., & Huettig, F. (2021). The role of the written script in shaping mirror-image discrimination: Evidence from illiterate, Tamil literate, and Tamil-Latin-alphabet bi-literate adults. Cognition, 206, 104493. https://doi.org/10.1016/j.cognition.2020.104493
Fernandes, T., & Leite, I. (2017). Mirrors are hard to break: A critical review and behavioral evidence on mirror-image processing in developmental dyslexia. Journal of Experimental Child Psychology, 159, 66–82. https://doi.org/10.1016/j.jecp.2017.02.003
Fernandes, T., Leite, I., & Kolinsky, R. (2016). Into the looking glass: Literacy acquisition and mirror invariance in preschool and first-grade children. Child Development, 87(6), 2008–2025. https://doi.org/10.1111/cdev.12550
Fischer, J. P. (2013). Digit reversal in children’s writing: A simple theory and its empirical validation. Journal of Experimental Child Psychology, 115, 356–370. https://doi.org/10.1016/j.jecp.2013.02.003
Fischer, J. P. (2017). Character reversal in children: The prominent role of writing direction. Reading and Writing, 30(3), 523–542. https://doi.org/10.1007/s11145-016-9688-y
Fischer, J. P., & Luxembourger, C. (2018). A synoptic and theoretical account of character (digits and capital letters) reversal in writings by typically developing children. Education Sciences, 8(3), 137. https://doi.org/10.3390/educsci8030137
Fischer, J. P., & Luxembourger, C. (2021). A test of three models of character reversal in typically developing children’s writing. Frontiers in Communication, 6, 719652. https://doi.org/10.3389/fcomm.2021.719652
Fischer, J. P., & Tazouti, Y. (2012). Unraveling the mystery of mirror writing in typically developing children. Journal of Educational Psychology, 104(1), 193–205. https://doi.org/10.1037/a0025735
Fischer, J. P., & Thierry, X. (2021). Miswriting (especially mirror writing) of the digits: An ecological assessment using ELFE data. Journal of Cognitive Education and Psychology, 20(1), 3–17. https://doi.org/10.1891/JCEP-D-19-00053
Fitzgerald, J., & Shanahan, T. (2000). Reading and writing relations and their development. Educational Psychologist, 35(1), 39–50. https://doi.org/10.1207/S15326985EP3501_5
Frith, U. (1971). Why do children reverse letters? British Journal of Psychology, 62(4), 459–468. https://doi.org/10.1111/j.2044-8295.1971.tb02059.x
Froyen, D. J. W., Bonte, M. L., van Atteveldt, N., & Blomert, L. (2009). The long road to automation: Neurocognitive development of letter–speech sound processing. Journal of Cognitive Neuroscience, 21(3), 567–580. https://doi.org/10.1162/jocn.2009.21061
Gelman, A., Hill, J., & Vehtari, A. (2021). Regression and other stories. Cambridge University Press. https://doi.org/10.1017/9781139161879
Gordon, H. (1921). Left-handedness and mirror writing, especially among defective children. Brain, 43(4), 313–368. https://doi.org/10.1093/brain/43.4.313
Jordan, B. T., & Jordan, S. G. (1974). Jordan left-right reversal test: A study of visual reversals in children. Child Psychiatry and Human Development, 4(3), 178–187. https://doi.org/10.1007/BF01436026
Kim, Y. S. G., Petscher, Y., Wanzek, J., & Al Otaiba, S. (2018). Relations between reading and writing: A longitudinal examination from grades 3 to 6. Reading and Writing, 31(7), 1591–1618. https://doi.org/10.1007/s11145-018-9855-4
Lachmann, T. (2018). Reading and dyslexia: The functional coordination framework. In T. Lachmann, T. Weis (Eds.), Reading and dyslexia: from basic functions to higher order cognition (pp. 271–296). Literacy Studies, vol. 16. Springer. https://doi.org/10.1007/978-3-319-90805-2_13
Lachmann, T., Schmitt, A., Braet, W., & van Leeuwen, C. (2014). Letters in the forest: Global precedence effect disappears for letters but not for non-letters under reading-like conditions. Frontiers in Psychology, 5, 705. https://doi.org/10.3389/fpsyg.2014.00705
Lachmann, T., & Van Leeuwen, C. (2007). Paradoxical enhancement of letter recognition in developmental dyslexia. Developmental Neuropsychology, 31, 61–77. https://doi.org/10.1207/s15326942dn3101_4
Lachmann, T., & Van Leeuwen, C. (2008). Differentiation of holistic processing in the time course of letter recognition. Acta Psychologica, 129(1), 121–129. https://doi.org/10.1016/j.actpsy.2008.05.003
Lebrun, Y., Devreux, F., & Leleux, C. (1989). Mirror-writing. In P. G. Aaron & R. M. Joshi (Eds.), Reading and writing disorders in different orthographic systems (pp. 355–378). Kluver Academic Publishers.
Levin, J. R. (1985). Some methodological and statistical “bugs” in research on children’s learning. In M. Pressley & C. J. Brainerd (Eds.), Cognitive learning and memory in children (pp. 205–233). Springer.
Lewis, E. R., & Lewis, H. P. (1965). An analysis of errors in the formation of manuscript letters by first-grade children. American Educational Research Journal, 2(1), 25–35. https://doi.org/10.3102/00028312002001025
Liberman, I. Y., Shankweiler, D., Orlando, C., Harris, K. S., & Berti, F. B. (1971). Letter confusions and reversals of sequence in the beginning reader: Implications for Orton’s theory of developmental dyslexia. Cortex, 7, 127–142. https://doi.org/10.1016/S0010-9452(71)80009-6
Lyle, J. G. (1969). Reading retardation and reversal tendency: A factorial study. Child Development, 40(3), 833–843. https://doi.org/10.2307/1127192
McIntosh, R. D., Hillary, K., Brennan, A., & Lechowicz, M. (2018). Developmental mirror-writing is paralleled by orientation recognition errors. Laterality Asymmetries of Body, Brain and Cognition, 23(6), 664–683. https://doi.org/10.1080/1357650X.2018.1445748
MENJ (2020). Repère CP 2020: Guide du professeur. Ministère de l’Education Nationale et de la Jeunesse. https://cache.media.eduscol.education.fr/file/CP/84/6/20CPP_guide_1318846.pdf
MENJS (2020). Programme du cycle 1. Ministère de l’Education Nationale, de la Jeunesse et des Sports. https://cache.media.eduscol.education.fr/file/A-Scolarite_obligatoire/24/3/Programme2020_cycle_1_comparatif_1313243.pdf
Menon, V., & Chang, H. (2021). Emerging neurodevelopmental perspectives on mathematical learning. Developmental Review, 60, 100964. https://doi.org/10.1016/j.dr.2021.100964
Orton, S. T. (1925). “Word-blindness” in school children. Archives of Neurology and Psychiatry, 14(5), 581–615. https://doi.org/10.1001/archneurpsyc.1925.02200170002001
Pegado, F., Nakamura, K., Cohen, L., & Dehaene, S. (2011). Breaking the symmetry: Mirror discrimination for single letters but not for pictures in the visual word form area. NeuroImage, 55(2), 742–749. https://doi.org/10.1016/j.neuroimage.2010.11.043
Pegado, F., Nakamura, K., & Hannagan, T. (2014). How does literacy break mirror invariance in the visual system? Frontiers in Psychology, 5, 703. https://doi.org/10.3389/fpsyg.2014.00703
Perea, M., Moret-Tatay, C., & Panadero, V. (2011). Suppression of mirror generalization for reversible letters: Evidence from masked priming. Journal of Memory and Language, 65, 237–246. https://doi.org/10.1016/j.jml.2011.04.005
Pevsner, J. (2002). Leonardo da Vinci’s contributions to neuroscience. Trends in Neurosciences, 25(4), 217–220. https://doi.org/10.1016/s0166-2236(00)02121-4
Portex, M., Carolane, H., Ponce, C., & Foulin, J. N. (2018). Dynamics of mirror writing compared to conventional writing in typical preliterate children. Reading and Writing, 31(6), 1435–1448. https://doi.org/10.1007/s11145-018-9838-5
R Core Team (2020). R: A language and environment for statistical computing. R Foundation for Statistical Computing, https://www.R-project.org/.
Rollenhagen, J. E., & Olson, C. R. (2000). Mirror-image confusion in single neurons of the macaque inferotemporal cortex. Science, 287, 1506–1508. https://doi.org/10.1126/science.287.5457.1506
Sidman, M., & Kirk, B. (1974). Letters reversals in naming, writing, and matching to sample. Child Development, 45, 616–625. https://doi.org/10.2307/1127827
Smith, D. D., & Lovitt, T. C. (1973). The educational diagnosis and remediation of written b and d reversal problems: A case study. Journal of Learning Disabilities, 6(6), 356–363. https://doi.org/10.1177/002221947300600604
Soares, A. P., Lages, A., Oliveira, H., & Hernández, J. (2019). The mirror reflects more for d than for b: Right asymmetry bias on the visual recognition of words containing reversal letters. Journal of Experimental Child Psychology, 182, 18–37. https://doi.org/10.1016/j.jecp.2019.01.008
Squire, L. R. (1994). Declarative and nondeclarative memory: Multiple brain systems supporting learning and memory. In D. L. Schacter & E. Tulving (Eds.), Memory systems 1994 (pp. 203–231). MIT Press.
Terepocki, M., Kruk, R. S., & Willows, D. M. (2002). The incidence and nature of letter orientation errors in reading disability. Journal of Learning Disabilities, 35(3), 214–233. https://doi.org/10.1177/002221940203500304
Torres, A. R., Mota, N. B., Neto, N. A., Adamy, N., Naschold, A., Lima, T. Z., Copelli, M., Weissheimer, J., Pegado, F., & Ribeiro, S. (2021). Selective inhibition of mirror invariance for letters consolidated by sleep doubles reading fluency. Current Biology, 31, 1–11. https://doi.org/10.1016/j.cub.2020.11.031
Treiman, R., & Kessler, B. (2011). Similarities among the shapes of writing and their effects on learning. Written Language and Literacy, 14(1), 39–57. https://doi.org/10.1075/wll.14.1.03tre
Wagenmakers, E. J., Sarafoglou, A., Aarts, S., Albers, C., Algermissen, J., Bahník, Š, van Dongen, N., Hoekstra, R., Moreau, D., van Ravenzwaaij, D., Sluga, A., Stanke, F., Tendeiro, J., & Aczel, B. (2021). Seven steps toward more transparency in statistical practice. Nature Human Behaviour, 5, 1473–1480. https://doi.org/10.1038/s41562-021-01211-8
Acknowledgements
We thank all the children and teachers who participated in the assessment. We are also grateful to the colleagues and administrators who have facilitated our work.
Funding
Not applicable.
Author information
Authors and Affiliations
Contributions
The two authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by CL. The first draft of the manuscript (including statistical processing) was written by JPF. The two authors commented on previous versions of the manuscript and approved the final manuscript.
Corresponding author
Ethics declarations
Conflict of interest
All authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Fischer, JP., Luxembourger, C. Typical 6-year-old children’s confusion between “b” and “d” in reading cannot be assimilated to reversal. Read Writ 35, 2433–2451 (2022). https://doi.org/10.1007/s11145-022-10290-6
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11145-022-10290-6