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Harrison, Bruce; And Others – Journal for Research in Mathematics Education, 1989
Approximately half of a group of 12-year-old students were taught fraction and ratio topics by a concrete process-oriented method. The others were taught in the regular way. The concrete, process-oriented approach resulted in significantly improved achievement in, and attitude toward, fractions and ratios. (Author/DC)
Descriptors: Arithmetic, Cognitive Style, Fractions, Junior High School Students
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Reys, Robert E.; And Others – Journal for Research in Mathematics Education, 1991
Computational strategies and estimating abilities of 466 Japanese students were tested and interviews with a subsample of that group were used to compare with a theoretical model based on a sample from the United States. Results of the comparison of computational and estimating abilities are presented. (CW)
Descriptors: Algorithms, Arithmetic, Cognitive Processes, Cognitive Style
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Ruble, Diane N.; Flett, Gordon L. – Child Development, 1988
Examines developmental changes in the resolution of conflicting goals involved in self-evaluation among children entering second, fourth, and sixth grades who represent high, medium, and low ability levels in arithmetic. Results are discussed in terms of strategies for balancing self-assessment with self-enhancement needs. (Author/RWB)
Descriptors: Ability Identification, Age Differences, Arithmetic, Child Development
Tirosh, Dina; Graeber, Anna O. – Focus on Learning Problems in Mathematics, 1990
Discussed are preservice elementary teachers' misconceptions and inconsistent beliefs about multiplication and division with decimals. Sources of inconsistencies and recommendations for overcoming inconsistencies are included. (KR)
Descriptors: Abstract Reasoning, Arithmetic, Cognitive Development, Cognitive Structures
Peer reviewed Peer reviewed
Gray, Edward M. – Educational Studies in Mathematics, 1991
Interviews with 72 mixed ability students, aged 7 to 12, about arithmetic problem-solving strategies, indicated that the preference between procedural and deductive strategies becomes a divergent reality across ability levels. Among the conclusions is that more able children tend to be doing a qualitatively different sort of mathematics than their…
Descriptors: Arithmetic, Cognitive Development, Cognitive Structures, Cognitive Style