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Carpenter, Thomas P.; And Others – Arithmetic Teacher, 1980
Discussed are the results of the second National Assessment of Educational Progress (NAEP) mathematics assessment concerning children's ability to solve verbal problems. The data indicate that the commonly held view that children cannot solve word problems may be an oversimplification. (Author/TG) Aspect of National Assessment (NAEP) dealt with in…
Descriptors: Achievement, Addition, Cognitive Development, Educational Assessment
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Thornton, Carol A. – Arithmetic Teacher, 1989
Discusses developmentally appropriate activities for teaching counting skills for kindergarten and early first-grade programs. Describes four activities: (1) counting on; (2) counting back; (3) auditory patterning; and (4) visual patterning based on the 10-frame. (YP)
Descriptors: Addition, Cognitive Development, Computation, Elementary School Mathematics
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Ginsburg, Herbert P. – Arithmetic Teacher, 1980
Discussed is research which shows, in contrast to the dominant impression given by Piaget's work, that before the onset of schooling the young child possesses several kinds of fundamental "intuitions" concerning numbers. (Author/TG)
Descriptors: Addition, Cognitive Development, Concept Formation, Conservation (Concept)
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Carey, Deborah A.; Campbell, Patricia F., Ed. – Arithmetic Teacher, 1992
Relates research findings on the way primary-grade students communicate mathematical ideas through the use of symbols to a framework for students to investigate the part-whole relationship of quantity. Discusses children's problem-solving abilities, linking word problems and symbols, the importance of context for understanding symbols, and the…
Descriptors: Addition, Cognitive Development, Cognitive Processes, Cognitive Style
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Kamii, Constance; Lewis, Barbara Ann – Arithmetic Teacher, 1991
Presents a study of 87 second graders to demonstrate that achievement tests in primary mathematics emphasize pupil's lower-order thinking by comparing answers to interview questions from constructivist and traditionally instructed groups. Results indicated that constructivist instructed students demonstrated superior higher-order thinking on tasks…
Descriptors: Achievement Tests, Addition, Cognitive Development, Cognitive Measurement