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The present study was designed to see if children with learning disabilities could be taught three-row, double-digit addition problems using a dot-notation method. Three children with learning disabilities were selected for the study. Prior to the intervention, these students used a combination of count-all and count-on strategies when solving addition problems and used concrete referents such as fingers or tallies. A multiple-probe design was used to evaluate the effectiveness of the intervention with the 3 subjects. The experiment consisted of a teaching phase where students were taught to touch and count the dots on numbers 1 to 9 in a specified pattern and an intervention phase where students progressed through nine levels of addition problems. The final stage consisted of three-row, double-digit addition problems requiring regrouping with touch points removed. Results indicate that the 3 subjects were able to learn and apply the dot-notation method successfully and were able to retain the method from one and a half to four and a half months after completing instruction. Suggestions for future research and for teachers are discussed.

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No description available.

The present study investigated the neuropsychological predictors of auditory/verbal and visual/written arithmetic performance in a large sample of children with learning disorders. In addition, the efficacy of a cognitive based arithmetic problem solving model (Dinnel, Glover, & Halpain, in press; Dinnel, Glover, & Ronning, 1984) in accounting for neuropsychological functioning in arithmetic performance was considered. Subjects were from a small midwestern school district, and were identified as learning disabled in accord with state (i.e., Rule S-1) and federal guidelines (i.e., PL-94-142). Specifically, subjects' scores on the Halstead-Reitan Neuropsychological Battery (HRNB) (Reitan, 1969) for older children and the Wechsler Intelligence Scale for Children-Revised (WISC-R) (Wechsler, 1974) were used to predict performance on the Wide Range Achievement Test (WRAT) Arithmetic subtest, and WISC-R Arithmetic subtest. Analyses were conducted with criterion measures considered separately and as a composite. In an attempt to examine the utility of the Dinnel et al., (in press; 1984) model, a simple index was formed using the criterion measures. This index was then predicted using the HRNB and WISC-R variables. Neuropsychological variables were found to account for some 31%, and 36% of the variability in visual/written and auditory/verbal arithmetic performance, respectively. However, neuropsychological variables accounted for some 87% of the shared variance when arithmetic measures were considered as a linear composite. Neuropsychological variables predicted a mere 12% of the variability associated with the index designed to test the Dinnel et al. (in press; 1984) arithmetic problem solving model. These data offered some support to Dinnel and others' (Dinnel et al., in press; 1984) formulations accounting for arithmetic performance under visual/stimulus conditions. However, the present findings indicated a more complex neuropsychological underpinning for overall arithmetic problem solving. Moreover, the neuropsychological constructs predicting arithmetic scores varied as a function of the stimulus/performance modes required for problem solving.Auditory-verbal attention and short-term memory, remote verbal memory, symbolic language integration, mental flexibility, and nonverbal abstract reasoning were the common neuropsychological constructs underpinning both auditory/verbal and visual/written arithmetic performance. Verbal facility, verbal abstract reasoning, nonverbal short term memory, and nonverbal concrete concept formation were uniquely implicated in auditory/verbal arithmetic performance. Visual/written arithmetic performance was uniquely related to nonverbal attention and intermediate nonverbal memory functions. In overview, it would seem that neuropsychological measures would be clinically useful in identifying deficits underlying poor arithmetic performance. / Department of Educational Psychology