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Download full textAshcraft, Mark H. – 1985
Described in the context of a computer simulation are highlights of a program of research focusing on the storage of mathematics problem solving information in young children's memory and the development of such knowledge structures in older children. Specifically discussed are the problem size effect, the network nature of the memory…
Descriptors: Arithmetic, Cognitive Development, Cognitive Processes, Computer Simulation
Peer reviewedHope, John A.; Sherrill, James M. – Journal for Research in Mathematics Education, 1987
Four methods of solutions and 12 calculative strategies were found from introspective reports of 15 skilled and 15 unskilled students in grades 11 and 12 doing mental multiplication. Unskilled students used strategies more suited to written than mental computation, while skilled students used strategies based on number properties. (MNS)
Descriptors: Cognitive Processes, Computation, Educational Research, Error Patterns
Sowder, Judith T., Ed.; Schappelle, Bonnie P., Ed. – 1989
Research on computational estimation and mental computation has received a considerable amount of attention from mathematics educators during the past decade. These proceedings resulted from a meeting to explore dimensions of number sense and its related fields. The participants came from three groups: mathematics educators actively pursuing…
Descriptors: Cognitive Processes, Cognitive Psychology, Computation, Estimation (Mathematics)
Richardson, Michael; Hunt, Earl – 1985
A model of how automated and controlled processing can be mixed in computer simulations of problem solving is proposed. It is based on previous work by Hunt and Lansman (1983), who developed a model of problem solving that could reproduce the data obtained with several attention and performance paradigms, extending production-system notation to…
Descriptors: Cognitive Processes, College Students, Computer Simulation, Educational Research
Peer reviewedHamann, Mary Sue; Ashcraft, Mark H. – Journal of Experimental Child Psychology, 1985
First, fourth, seventh, and tenth graders were timed when solving simple and complex addition problems, then were presented similar problems in untimed interviews. Manipulation of confusion between addition and multiplication, where multiplication answers were given to addition problems (3 + 4 = 12) indicated an interrelatedness of these…
Descriptors: Age Differences, Arithmetic, Cognitive Processes, Elementary School Students
Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed. – Investigations in Mathematics Education, 1983
An editorial comment on the computer and the mathematics educator is included first. Then, abstracts and comments are presented for 11 articles. Studies included focus on mental addition, problem solving by sixth graders, mathematics anxiety, tutoring, direct instruction, a bilingual program, thinking strategies for multiplication basic facts,…
Descriptors: Bilingual Students, Cognitive Processes, Cognitive Style, Computers
Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed. – Investigations in Mathematics Education, 1986
This issue of the journal contains abstracts and critical comments for ten published reports of research in mathematics education. The reports concern teaching probability and estimation of measurements through microcomputer games, mental addition, use of calculators at the intermediate level, logical reasoning hierarchies, two approaches to the…
Descriptors: Calculators, Cognitive Processes, Educational Games, Educational Research
