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Educational Studies in…2
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Davis, Robert B.1
Dienes, Zoltan P.1
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An Example of the Passage From the Concrete to the Manipulation of Formal Systems
Peer reviewed Peer reviewed
Dienes, Zoltan P. – Educational Studies in Mathematics, 1971
The author lists and discusses each of six stages of mathematical learning. The stages are: (1) interaction, (2) rule construction and manipulation, (3) isomorphisms, (4) representations, (5) symbolization, and (6) formalization. Examples from geometry are used to demonstrate the learning processes. (JG)
Descriptors: Concept Formation, Conference Reports, Curriculum Development, Elementary School Mathematics
The Problem of Relating Mathematics to the Possibilities and Needs of Schools and Children
Peer reviewed Peer reviewed
Davis, Robert B. – Educational Studies in Mathematics, 1971
Descriptors: Behavioral Objectives, Conference Reports, Curriculum Development, Elementary School Mathematics