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Romberg, Thomas A.; Collis, Kevin F. – 1982
The purpose of this study was to ascertain whether children in grade 3 who differ in cognitive processing capacity add and subtract differently. The researchers drew upon information from three sources: individual results from a battery of 14 tests, an objective-referenced achievement test measuring a variety of arithmetic skills related to…
Descriptors: Addition, Algorithms, Cognitive Processes, Computation
Romberg, Thomas A.; Collis, Kevin F. – 1987
Summarized are the findings from five studies carried out in Australia in 1979-80. First was a cross-sectional survey designed to determine the memory capacity of a population of children in grades 1-3. The second study investigated performance differences on a variety of mathematically related developmental tasks for the same group. Data from…
Descriptors: Addition, Cognitive Processes, Educational Research, Elementary Education

Romberg, Thomas A.; Collis, Kevin F. – Journal for Research in Mathematics Education, 1985
Determined whether 11 third-grade children, differing in cognitive processing capacity, solve addition and subtraction word problems differently. Results, among others, show that children who differ in cognitive processing capacity also differ in strategies they use to solve the same verbal problems and differ in their success in finding correct…
Descriptors: Addition, Cognitive Processes, Computation, Educational Research
Romberg, Thomas A.; Collis, Kevin F. – 1980
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…
Descriptors: Addition, Age Differences, Arithmetic, Cognitive Processes
Romberg, Thomas A.; Collis, Kevin F. – 1983
Findings from five related studies carried out in Tasmania, Australia in 1979-80 are summarized. The first study attempted to determine the memory capacity of a cross-sectional population of children aged 4-7, while the second study was designed to portray differences on a variety of mathematically related developmental tasks for the same…
Descriptors: Addition, Cognitive Ability, Cognitive Processes, Educational Research
Romberg, Thomas A.; Collis, Kevin F. – 1980
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,…
Descriptors: Addition, Age Differences, Arithmetic, Cognitive Development