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Zarzycki, Piotr – Mathematics Teaching, 2001
Presents research on students' use and understanding of algorithms in Poland. Concludes that there are detrimental side effects that stem from the teaching and learning of standard written algorithms. (ASK)
Descriptors: Algorithms, Elementary Education, Foreign Countries, Grade 4

Thompson, Ian – Educational Studies in Mathematics, 1994
Fourth graders' (n=117) solutions to addition problems were analyzed in terms of standard or idiosyncratic written algorithms. Students had not previously been taught pencil-and-paper algorithms. Preference for horizontal layout, working from left to right, and a wide variety of written algorithms were found. (Contains 48 references.) (Author/MKR)
Descriptors: Addition, Algorithms, Arithmetic, Computation

Moldavan, Carla C. – Teaching Children Mathematics, 2001
Describes a multicultural enrichment project for 4th graders that highlights number systems and computation algorithms of various cultures. Discusses student responses and reactions. (KHR)
Descriptors: Algorithms, Arithmetic, Computation, Curriculum Design
Alessi, Galen James – 1974
This study investigated the effects of the nature of the algorithm, reinforcement, and level of problem difficulty on the ability of fourth graders to solve addition problems as measured by the number of problems correctly solved and the number of columns attempted. Subjects were selected for high scores on a test of basic addition facts; only…
Descriptors: Addition, Algorithms, Comparative Analysis, Curriculum

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

Stefanich, Greg P.; Rokusek, Teri – School Science and Mathematics, 1992
Presents a study that analyzed errors made by randomly chosen fourth grade students (25 of 57) while using the division algorithm and investigated the effect of remediation on identified systematic errors. Results affirm that error pattern diagnosis and directed remediation lead to new learning and long-term retention. (MDH)
Descriptors: Algorithms, Arithmetic, Cognitive Development, Computation
Education Development Center, Inc., Newton, MA. – 1973
This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Elementary School Teachers
Education Development Center, Inc., Newton, MA. – 1973
This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Elementary School Teachers