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Direct linkInglis, Matthew – For the Learning of Mathematics, 2003
Gary and Tall (2001) recently suggested that mathematics can be split up into "three worlds": the embodied, the proceptual and the axiomatic. They claim that objects from each of these worlds are formed, and reasoned about, in significantly different ways. During the course of this article the author considers the three world's theory…
Descriptors: Mathematics Education, Cluster Grouping, Criticism, Educational Theories
Peer reviewedOtte, Michael – For the Learning of Mathematics, 1990
Compared and contrasted are the concepts intuition and logic. The ideas of conceptual thought and algorithmic thought are discussed in terms of the world as a labyrinth, intuition and time, and the structure of knowledge. (KR)
Descriptors: Abstract Reasoning, Algorithms, Cognitive Ability, Cognitive Processes
