Two articles just published in Optometry & Vision Development by renowned scientist/researcher, Dr. Burkhart Fischer and his colleagues strongly suggest that vision problems may affect how children acquire math skills. Both of these articles abstracts are noted below....free and full access to the complete texts of the articles can be obtained by clicking here....
Subitizing and Visual Counting in Children with Problems in Acquiring Basic Arithmetic Skills
Burkhart Fischer, Dipl. Phys., Christine Gebhardt, Dipl. Phys., and Klaus Hartnegg, Dipl. Phys.
Center of Neuroscience, Optomotor Laboratory, University of Freiburg, Freiburg, Federal Republic of Germany
ABSTRACT
The ability of recognizing a number of briefly presented items without actually counting is called subitizing (from lat. subito = suddenly). Adult subjects can subitize 3 to 4 items. For greater numbers the subjects begin a counting process relying on the visual memory of the test pattern, which needs increasingly more time as the number of items increases. The development of accuracy and speed of subitizing and visual counting was measured for subjects up to the age of 17 years. Furthermore, this study tests the hypothesis that children with difficulties in acquiring basic arithmetic skills exhibit developmental deficits in subitizing and/or counting. The study does not intend to investigate theories on the nature of dyscalculia even though most test children can be classified as dyscalculic.
Methods: Two-hundred-nineteen control subjects and 156 test subjects with problems in arithmetic skills in the age range of 7 to 17 years were given a visual counting task in which 1 to 9 items were presented for 100 ms. The subjects had to press a digit key on a numerical keyboard to indicate the number of items they had seen. Percentages of correct responses and response times were recorded.
Results: The analysis shows systematic differences between control and test children increasing with age. The percentage of test children performing below the 16-percentile of the age matched controls was estimated to be between 40% and 78% (increasing with age).
Conclusions: We concluded that the deficit in a basic visual capacity may contribute to the problems encountered by children with anomalies in acquiring basic arithmetic skills.
Effects of Daily Practice on Subitizing, Visual Counting,and Basic Arithmetic Skills
Burkhart Fischer, Dipl. Phys., Andrea Köngeter, Dipl. Biol., and Klaus Hartnegg, Dipl. Phys.
Center of Neuroscience, Optomotor Laboratory, University of Freiburg, Freiburg, Federal Republic of Germany
ABSTRACT
Background: The ability of subitizing and counting undergoes a long lasting development until
the age of 17 years. Large proportions of children with problems in acquiring basic arithmetic skills exhibit developmental deficits in the correctness and speed of this special visual capacity. The first study described in this paper tests the possibility that subitizing and visual counting can be improved by daily practice. The second study described in this paper shows that basic arithmetic skill were significantly improved in a trained as compared to an untrained
control group.
Methods: Altogether, 74 subjects (age 7 to 13 y) participated in the first study. They were given a special task for daily practice during a period of 21 days. Corresponding to the state of the subject under training the difficulty of the task was adapted. For the second study 21 children (aged 7.5 to 9 y), were recruited from a local school. All children had problems in basic mathematics and failed the test of subitizing. The training group (N=10) was given the
required training, while the waiting group (N=11) had to wait. A standard test of basic mathematics (DEMAT) was used to measure basic arithmetic skills before and after the training.
Results: The analysis of the pre-post training data revealed that subitizing and counting were significantly improved in about 85% of the subjects: they reached the normal range of the control subjects (N=133) of the same age. The second study shows that basic arithmetic skills were significantly improved in a trained as compared to an untrained control group.
Conclusion: Since the result of the second study of this paper shows a transfer from improvements in subitizing to improvements of basic arithmetic skills one may conclude that the basic visual capacity of subitizing and visual number counting contributes to the problem encountered by children with dyscalculia.
In the interest of full disclosure, it should be noted that I am the editor of Optometry & Vision Development, the official journal of the College of Optometrists in Vision Development. Dom Maino, O.D., FCOVD-A
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