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Hope, John A. – Journal for Research in Mathematics Education, 1987
This case study examined the performance of a 13-year-old highly skilled mental calculator on mental multiplication tasks. She solved difficult tasks by using various ingenious calculation methods, including distributing, factoring, and recalling the product directly. Implications for instruction are reported. (Author/RH)
Descriptors: Academically Gifted, Adolescents, Computation, Elementary Education
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Hope, 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
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Williams, Dawn M.; Collins, Belva C. – Journal of Learning Disabilities, 1994
This study evaluated the effectiveness of the constant time delay procedure, while comparing the efficiency of using teacher-selected and student-selected material prompts, in teaching multiplication facts to 4 male students with learning disabilities (ages 9 to 13). Results indicated that the time delay procedure was most efficient when students…
Descriptors: Computation, Cues, Elementary Education, Instructional Effectiveness
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Koscinski, Susan T.; Gast, David L. – Journal of Learning Disabilities, 1993
This study demonstrated the effectiveness and efficiency of a constant time delay procedure (four seconds) to teach five elementary students with learning disabilities multiplication facts. Learning generalized to a paper-and-pencil task, to a different presentation orientation, and to reverse facts. (DB)
Descriptors: Arithmetic, Computation, Elementary Education, Generalization
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Fischbein, Efraim; And Others – Journal for Research in Mathematics Education, 1985
Over 600 pupils in grades five, seven, and nine in Italian schools were asked to choose the operation needed to solve 26 multiplication and division word problems. The findings seemed to confirm the impact of the repeated addition model on multiplication and of the partitive model on division. (MNS)
Descriptors: Cognitive Processes, Computation, Division, Educational Research
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Thomas, David A. – Journal of Computers in Mathematics and Science Teaching, 1990
Described is an approach to computational matrix algebra that takes advantage of a high quality, low cost microcomputer software package. The examples and applications discussed focus on matrix multiplication. (Author/CW)
Descriptors: Algebra, College Mathematics, Computation, Computer Assisted Instruction
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Graeber, Anna O.; And Others – Journal for Research in Mathematics Education, 1989
Studied were the misconceptions that preservice elementary teachers have about multiplication and division. Results indicated that they are influenced by the same primitive models as students; the most common errors made by both groups are quite similar. (MNS)
Descriptors: Cognitive Structures, College Students, Computation, Concept Formation
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Dowker, Ann – Journal for Research in Mathematics Education, 1992
Described are the strategies of 44 academic mathematicians on a set of computational estimation problems involving elementary multiplication and division. Discussion centers on the theoretical implications evident from pretest/posttest results in terms of the variety of strategies used and how the choice of strategy changed across the two tests.…
Descriptors: Arithmetic, Behavior Change, Computation, Division
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Carrier, Carol; And Others – Journal for Research in Mathematics Education, 1985
Students from six fourth-grade classes were paired and randomly assigned to computer or worksheet treatments on multiplication and division. Those using computer-based drill-and-practice programs made greater gains on some tests of basic facts, but had no higher retention of algorithms. (MNS)
Descriptors: Algorithms, Computation, Computer Assisted Instruction, Division
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Hamann, 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
Lampert, Magdalene – 1985
The concept of multiplication is described and illustrated using several different representational systems. A conceptual approach to teaching mathematics is compared with the procedural approach commonly found in the school curriculum. Four different methods of representing the multiplication process with numbers larger than ten are presented:…
Descriptors: Algorithms, Cognitive Processes, Computation, Educational Research
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
Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed. – Investigations in Mathematics Education, 1984
An editorial and abstracts for 12 research reports are contained in this issue. The editorial by Robert E. Reys focuses on the dangers of publishing poor research. The abstracts, each with a critique, concern research on a game for logical reasoning, wait-time and sex differences, vocabulary instruction on ratio and proportion, male-female…
Descriptors: Addition, Cognitive Style, Computation, Editorials