The student's criterion for being diagnosed with MLD (Mathematics Learning Disabilities) can be classified as low arithmetic skills and poor working memory. The goal of this research is to understand students' process of thinking through the Polya stages when tackling arithmetic problems, as it has been expounded by Dr. Polya For students who have…

In a first experiment, adults were asked to solve one-digit additions, subtractions and multiplications. When the sign appeared 150 ms before the operands, addition and subtraction were solved faster than when the sign and the operands appeared simultaneously on screen. This priming effect was not observed for multiplication problems. A second…

The cognitive processes of seven children solving arithmetic problems were accurately classified as reconstructive or reproductive according to the child's verbal report of his thought processes. Classifications of thought processes by means of verbal reports can also be used to improve the analysis of latencies. (SB)

A number of models are considered that specify how children and adults solve single-digit addition problems. (Authors)

Two simple quantitative models were derived from a series of experiments which explored the role of information storage in working memory when performing mental arithmetic. The decay model is a tractable analysis of a complex task which assumes a decay process in working storage. Similar analyses are recommended for problem solving activities…

In this study retrospective verbal reports were collected in order to study cognitive processes activated when solving simple additions. The research was devoted to a revision and validation of the earlier presented process model (Svenson 1975) by using retrospective verbal reports as a complement to the response latencies analyzed earlier.…

Seventy-seven children (ages 5-13) with mild to moderate mental retardation were presented with addition problems. The patterns of strategies used were found to be similar to those used by intellectually normal children, though counting-on and memory strategies were used by subjects with greater frequency. Strategies became more sophisticated with…

This paper reports the results of the second of a series of collaborative studies examining how children acquire the skills to represent and solve verbal addition and subtraction problems. The purpose of this study was to identify the cognitive processing capabilities of a group of Tasmanian (Australian) children. Fifteen cognitive tests were…

To isolate the process deficits underlying a specific learning disability in mathematics achievement, 77 academically normal and 46 learning disabled (LD) students in second, fourth or sixth grade were presented 140 simple addition problems using a true-false reaction time verification paradigm. (The problems were on a video screen controlled by…

Limitations of the retrieval strategy dimension of Siegler's (1982, 1984) distributions-of-associations model of young children's estimation of sums are delineated, an alternative model is described, and findings of two studies designed to test key assumptions of the models are reported. In Study 1, kindergarten children with normal IQ and no…

The purpose of this study was to identify the working memory capacity (M-space) for a group of 139 children (4 to 8 years of age) enrolled at Sandy Bay Infant School in Hobart, Tasmania, Australia. Four M-space tests -- The Counting Span Test (Case and Kurland, 1978), Mr. Cucui Test (DeAvila and Havassy, 1974), the Digit Placement Test (Case,…