NotesFAQContact Us
Collection
Advanced
Search Tips
Showing all 6 results Save | Export
Peer reviewed Peer reviewed
Long, Kathy; Kamii, Constance – School Science and Mathematics, 2001
Interviews 120 children in kindergarten and grades 2, 4, and 6 with five Piagetian tasks to determine the grade level at which most have constructed transitive reasoning, unit iteration, and conservation of speed. Indicates that construction of the logic necessary to make sense of the measurement of time is generally not complete before sixth…
Descriptors: Abstract Reasoning, Cognitive Processes, Elementary Education, Mathematics Education
Peer reviewed Peer reviewed
Kamii, Constance; Clark, Faye B. – School Science and Mathematics, 1997
Describes a study in which 383 children in grades 1 through 5 were individually interviewed to find out at what point they construct unit iteration out of transitive reasoning. Indicates that most children construct unit iteration out of transitive reasoning by fourth grade. Suggests a better approach to the teaching of measurement that presents…
Descriptors: Abstract Reasoning, Concept Formation, Elementary Education, Mathematics Instruction
Kamii, Constance – 2001
Sixty Japanese children ranging in age from 3 years 4 months to 7 years 5 months were individually interviewed with three Piagetian tasks. Children's levels of representation were assessed by asking for a graphic representation of 4 dishes, 6 pencils, 8 small blocks etc. A conservation-of-number task was then given to assess children's level of…
Descriptors: Abstract Reasoning, Cognitive Development, Concept Formation, Early Childhood Education
Peer reviewed Peer reviewed
Kamii, Constance; Ozaki, Kyoko – Hiroshima Journal of Mathematics Education, 1999
Shares the results of a study in which 204 first grade students were interviewed. Interprets the findings in light of Piaget's emphasis on abstraction. Concludes that children represent ideas at their respective levels of abstraction. (Author/ASK)
Descriptors: Abstract Reasoning, Arithmetic, Elementary Education, Foreign Countries
Peer reviewed Peer reviewed
Kato, Yasuhiko; Kamii, Constance; Ozaki, Kyoko; Nagahiro, Mariko – Journal for Research in Mathematics Education, 2002
Interviews 60 Japanese children between the ages of 3 and 7 years to investigate the relationship between levels of abstraction and representation. Indicates that abstraction and representation are closely related. Implies that educators need to focus more on the mental relationships children make because the meaning children can give to…
Descriptors: Abstract Reasoning, Cognitive Development, Early Childhood Education, Foreign Countries
Peer reviewed Peer reviewed
Direct linkDirect link
Kamii, Constance; Miyakawa, Yoko; Kato, Yasuhiko – Journal of Research in Childhood Education, 2004
To study the developmental interrelationships among various aspects of logico-mathematical knowledge, 80 one- to 4-year-olds were individually asked to build "something tall" with 20 blocks. Percentages of new and significant behaviors increased with age and were analyzed in terms of the development of logico-mathematical relationships. It was…
Descriptors: Preschool Children, Mathematics Education, Elementary School Mathematics, Educational Games