ERIC Number: EJ884023
Record Type: Journal
Publication Date: 2010-Jun
Abstractor: As Provided
Reference Count: 35
In Search of Structures: How Does the Mind Explore Infinity?
Singer, Florence Mihaela; Voica, Cristian
Mind, Brain, and Education, v4 n2 p81-93 Jun 2010
When reasoning about infinite sets, children seem to activate four categories of conceptual structures: geometric (g-structures), arithmetic (a-structures), fractal-type (f-structures), and density-type (d-structures). Students select different problem-solving strategies depending on the structure they recognize within the problem domain. They naturally search for structures in challenging learning contexts. This tendency to search for structure might be a characteristic of human cognition and a necessary condition for human knowledge development. For example, specific fractal structures are intrinsic to concepts such as the numerical system that have been developed by the human race over a long period of time. When these structures are emphasized within teaching, they can facilitate the deep understanding of several basic concepts, in mathematics and beyond.
Descriptors: Geometric Concepts, Cognitive Processes, Problem Solving, Mathematical Concepts, Scientific Concepts
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Publication Type: Journal Articles; Reports - Descriptive
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