What is mathematics? : an examination of the perceptions of mathematics, mathematical expertise and its relationship to reasoning and language
The nature of mathematical abilities is poorly understood in comparison to most other abilities, such as language and reasoning. Most research on the psychology of mathematics has focused on simple mathematical abilities such as numerical calculation. This thesis contributes to foundations for research examining high level mathematical abilities, particularly expert level abilities. These contributions are twofold. The first contribution is ascertaining how mathematics is defined and perceived...[Show more]
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