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Direct linkAlcock, Lara; Inglis, Matthew – Educational Studies in Mathematics, 2008
This paper discusses variation in reasoning strategies among expert mathematicians, with a particular focus on the degree to which they use examples to reason about general conjectures. We first discuss literature on the use of examples in understanding and reasoning about abstract mathematics, relating this to a conceptualisation of syntactic and…
Descriptors: Semantics, Number Concepts, Mathematics Instruction, Abstract Reasoning
Peer reviewedNippold, Marilyn A.; Hegel, Susan L.; Sohlberg, McKay Moore; Schwarz, Ilsa E. – Journal of Speech, Language, and Hearing Research, 1999
Students, ages 12, 15, 18, and 23 (n=60 per group), wrote definitions for 16 abstract nouns. Responses were analyzed for Aristotelian style. There was an increasing tendency for students to mention the appropriate category to which a word belongs, core features of the word, and subtle aspects of meaning. (DB)
Descriptors: Abstract Reasoning, Adolescents, Cognitive Development, Concept Formation
