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Cai, Jinfa – School Science and Mathematics, 1998
Examines 250 sixth-grade students' understanding of arithmetic average by assessing their understanding of the computational algorithm. Results indicate that the majority of the students knew the "add-them-all-up-and-divide" averaging algorithm, but only half of the students were able to correctly apply the algorithm to solve a…
Descriptors: Algorithms, Arithmetic, Computation, Concept Formation

Olson, Melfried; Olson, Judith – School Science and Mathematics, 1988
Describes a pattern which emerged from an examination of the digits of the squares of numbers. Provides eight examples having the pattern at the units or tens digit of the number. (YP)
Descriptors: Algorithms, Arithmetic, Elementary Education, Elementary School Mathematics

Thipkong, Siriporn; Davis, Edward J. – School Science and Mathematics, 1991
A study on the impact of misconceptions on preservice elementary teachers' processes in solving problems involving multiplication and division of decimals is described. Included are the purpose of the study, a description of the subjects, instruments, and interviews, the findings, and discussion. (KR)
Descriptors: Algorithms, Arithmetic, Decimal Fractions, Elementary Education

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

Guckin, Alice Mae; Morrison, Dwight – School Science and Mathematics, 1991
Described is a study that used LOGO to improve the proportional reasoning ability of students enrolled in mathematics classes for students poorly prepared for college-level mathematics. Included are the methodology, procedures for using logo, and a discussion of the results. (KR)
Descriptors: Algebra, Algorithms, Arithmetic, College Mathematics