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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
van Drie, Jannet; van Boxtel, Carla – Educational Psychology Review, 2008
This article explores historical reasoning, an important activity in history learning. Based upon an extensive review of empirical literature on students' thinking and reasoning about history, a theoretical framework of historical reasoning is proposed. The framework consists of six components: asking historical questions, using sources,…
Descriptors: Educational Practices, History Instruction, Time Perspective, Cognitive Structures
Krasa, Nancy; Shunkwiler, Sara – Brookes Publishing Company, 2009
How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…
Descriptors: Mathematics Instruction, Learning Problems, Numbers, Arithmetic
