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Freudenthal, Hans – Educational Studies in Mathematics, 1977
This paper provides a log and discussion of experiments conducted by a five-and-one-half-year-old child under the direction of the author. (SD)
Descriptors: Case Studies, Cognitive Development, Discovery Learning, Gifted

Hoyles, Celia; Noss, Richard – Educational Studies in Mathematics, 1992
Described is the attempt to identify relationships between pedagogy and student behavior in a mathematical microworld. The patterns of teaching associated with LOGO-based computer activities involving ratio and proportion and the teachers role in helping students bridge the gap between LOGO- and school-mathematics practices are explored. (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Computer Assisted Instruction, Concept Formation

Kynigos, Chronis – Educational Studies in Mathematics, 1993
Used 2 12-year-old children to investigate deductive and inductive reasoning in plane geometry. A LOGO microworld was programmed to measure distances and turns relative to points on the plane. Learning environments like this may enhance formation of inductive geometrical understandings. (Contains 44 references.) (LDR)
Descriptors: Case Studies, Cognitive Development, Computer Assisted Instruction, Concept Formation