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Behr, Merlyn J.; Wachsmuth, Ipke; Post, Thomas – Focus on Learning Problems in Mathematics, 1998
Discusses how well children (N=6) who have had instruction in rational-number concepts based on a continuous manipulative aid are able to transfer their knowledge to accomplish tasks based on a manipulative aid which can be interpreted as discrete. Suggests several implications for teaching fraction concepts to children using continuous and…
Descriptors: Elementary Education, Fractions, Manipulative Materials, Mathematics Instruction
Damarin, Suzanne K. – Focus on Learning Problems in Mathematics, 1996
Explores the interaction of gender, sex-typed toys, and the construction of the mathematical topic of fractions as it is taught in schools. (MKR)
Descriptors: Cognitive Structures, Constructivism (Learning), Elementary Secondary Education, Females
Peck, Donald M.; Connell, Michael L. – Focus on Learning Problems in Mathematics, 1991
This paper describes student performance and beliefs regarding fractions resulting from a five-phase approach toward developing mathematical intuition via physical materials. Interviews with students using this approach and with students using a conventional textbook approach indicated significant differences in problem-solving abilities and…
Descriptors: Cognitive Processes, Concept Formation, Discovery Learning, Elementary Education
Behr, Merlyn J.; And Others – Focus on Learning Problems in Mathematics, 1988
Children in grades four and five had instruction on fractions with a continuous manipulative aid to help transfer their knowledge to tasks with a discrete manipulative aid. Results suggest that discrete-embodiment tasks are more difficult than continuous-embodiment tasks. (MNS)
Descriptors: Educational Research, Elementary Education, Elementary School Mathematics, Fractions
