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Mathematical discovery: a covariance analysis.
Abstract
A covariance analysis of constructs related to the process of mathematical discovery is presented. The constructs are derived from Polya's ideas on problem solving and include sophistication, traits that predict affect, and emotion. The relative importance of these constructs is investigated in specific problem solving situations. How the model is refined and validated is discussed. The analysis provides a foundation for exploring the nature of mathematical thinking during problem solving.
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The importance of affect and emotion during mathematical discovery and problem solving has long been recognized (Dreger & Aiken, 1957; ...
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