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Kamii, Constance; Rummelsburg, Judith – Teaching Children Mathematics, 2008
To build cognitive foundation for number, twenty-six low-performing, low-SES first graders did mathematical physical-knowledge activities, such as "bowling," during the first half of the year. As their arithmetic readiness developed, they tried more word problems and games. At the end of the year, these children did better in mental arithmetic and…
Descriptors: Textbooks, Mental Computation, Number Concepts, Word Problems (Mathematics)
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Kamii, Constance; Rummelsburg, Judith; Kari, Amy – Journal of Mathematical Behavior, 2005
To develop their logico-mathematical foundation of number as described by Piaget (1947/1950, 1967/1971, 1971/1974), 26 low-performing, low-SES first graders were given physical-knowledge activities (e.g., Pick-Up Sticks and "bowling") during the math hour instead of math instruction. During the second half of the school year, when they showed…
Descriptors: Mental Computation, Word Problems (Mathematics), Grade 1, Arithmetic
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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