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Backhouse, John K. – Mathematics Teaching, 1978
The author emphasizes the importance of concepts and mathematical form in a discussion of understanding mathematics. (MN)
Descriptors: Cognitive Processes, Concept Formation, Elementary Secondary Education, Learning
Skemp, Richard R. – Mathematics Teaching, 1982
Discussion about the nature and varieties of mathematical understanding is presented. Symbolic understanding is defined as a mutual assimilation between a symbol system and a conceptual structure, that is dominated by the conceptual structure. (MP)
Descriptors: Cognitive Processes, Elementary Secondary Education, Epistemology, Learning
Byers, V.; Herscovics, N. – Mathematics Teaching, 1977
Four kinds of understanding of mathematics are suggested: instrumental, relational, intuitive, and formal. Each type of understanding is described and illustrated. (MN)
Descriptors: Cognitive Development, Cognitive Processes, Comprehension, Concept Formation