Visualizations in mathematics

Erkenntnis 68 (3):345 - 358 (2008)
Abstract
In this paper we discuss visualizations in mathematics from a historical and didactical perspective. We consider historical debates from the 17th and 19th centuries regarding the role of intuition and visualizations in mathematics. We also consider the problem of what a visualization in mathematical learning can achieve. In an empirical study we investigate what mathematical conclusions university students made on the basis of a visualization. We emphasize that a visualization in mathematics should always be considered in its proper context
Keywords Philosophy   Logic   Ethics   Ontology   Epistemology   Philosophy
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DOI 10.1007/s10670-008-9104-3
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References found in this work BETA
Marcus Giaquinto (1994). Epistemology of Visual Thinking in Elementary Real Analysis. British Journal for the Philosophy of Science 45 (3):789-813.
Sören Stenlund (2005). Om ”det outsagda”. Norsk Filosofisk Tidsskrift 4.

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Citations of this work BETA
Carlo Cellucci (2013). Philosophy of Mathematics: Making a Fresh Start. Studies in History and Philosophy of Science 44 (1):32-42.
Carlo Cellucci (2013). Philosophy of Mathematics: Making a Fresh Start. Studies in History and Philosophy of Science Part A 44 (1):32-42.

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