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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
Wolff, Jared M. – Francais dans le Monde, 1994
An American studying for his master's degree in French in France reflects on the experience of advanced second-language learning. The discussion focuses on the stage at which interaction with others replaces formulation of sentences as the primary task and on understanding the power of word choice. (MSE)
Descriptors: Foreign Countries, French, Graduate Students, Interpersonal Communication
