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Hopkins, Sarah; Russo, James; Siegler, Robert – Mathematical Thinking and Learning: An International Journal, 2022
There is a growing awareness that many children are not developing fast and accurate retrieval-based strategies for solving single-digit addition problems. In this study we individually assessed 166 third and fourth grade children to identify a group of children (called accurate-min-counters) who frequently solved simple single-digit addition…
Descriptors: Addition, Grade 3, Grade 4, Elementary School Students
Schulze, Sarah; Lüke, Timo; Kuhl, Jan – Learning Disabilities: A Contemporary Journal, 2020
Interventions to support children with mathematical learning difficulties typically address deficits in domain-specific knowledge. However, not all students benefit from these instructional programs. In this case, some authors suggest an even more intensive instructional program combined with other factors assumed to be relevant for learning.…
Descriptors: Short Term Memory, Mathematics Instruction, Cognitive Processes, Grade 1
Rittner, Max – Special Education in Canada, 1982
The article reviews the development of mathematics error analysis as a means of diagnosing students' cognitive reasoning. Errors specific to addition, subtraction, multiplication, and division are described, and suggestions for remediation are provided. (CL)
Descriptors: Addition, Cognitive Development, Cognitive Processes, Diagnostic Teaching

Campbell, Jamie I. D. – Cognition, 1994
Sixty-four adults were tested on simple addition and multiplication problems presented in Arabic digit or English number-word format. Overall, response times and error rates were much higher with the word format, but more important, presentation format interacted with arithmetic operation and problem size. (DR)
Descriptors: Addition, Adults, Arithmetic, Cognitive Processes
Carpenter, Thomas P.; And Others – 1979
Forty-three first-grade children, who had received no formal instruction in addition and subtraction, were individually administered 20 problems that could be solved using addition or subtraction. The problems were selected to represent the following semantic types: joining, separating, part-part-whole, comparison, and equalizing. Responses were…
Descriptors: Addition, Cognitive Processes, Educational Research, Educational Strategies
De Corte, Erik; Verschaffel, Lieven – 1985
Recent research on solving addition and subtraction word problems has resulted in the construction of theoretical models of children's problem-solving processes. Some of these models have been translated into computer programs. Characteristics and predictions of the theoretical analysis developed by Riley, Greeno, and Heller (1983) are discussed…
Descriptors: Addition, Cognitive Processes, Computer Simulation, Educational Research
De Corte, Erik; Verschaffel, Lieven – 1986
Most studies of children's solution processes on simple addition and subtraction word problems have used individual interviews or the analysis of error patterns on paper-and-pencil tests as the primary data-gathering techniques. The present paper reports an investigation in which the contribution of eye-movement data was explored for studying…
Descriptors: Addition, Cognitive Processes, Educational Research, Elementary School Mathematics

Pellegrino, James W.; Goldman, Susan R. – Journal of Learning Disabilities, 1987
An overview is presented of information processing analyses of knowledge and performance in three areas of the elementary mathematics curriculum: basic addition and subtraction facts, complex procedures such as multicolumn subtraction, and the solution of word problems. Theories of the knowledge associated with "expert" performance are discussed.…
Descriptors: Academic Achievement, Addition, Cognitive Processes, Elementary Education