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Alcock, 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
Reed, James; And Others – 1984
Previous research on the effects of counselor language on clients' perception of the counselor's social influence indicated that counselors using complex language were seen as more expert. Seventy-eight undergraduate and graduate counselor trainees participated in a study to replicate these earlier findings by investigating the effects of…
Descriptors: Client Characteristics (Human Services), Counseling, Counselors, Graduate Students