On the persuasiveness of visual arguments in mathematics

Foundations of Science 14 (1-2):97-110 (2009)
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Abstract

Two experiments are reported which investigate the factors that influence how persuaded mathematicians are by visual arguments. We demonstrate that if a visual argument is accompanied by a passage of text which describes the image, both research-active mathematicians and successful undergraduate mathematics students perceive it to be significantly more persuasive than if no text is given. We suggest that mathematicians’ epistemological concerns about supporting a claim using visual images are less prominent when the image is described in words. Finally we suggest that empirical studies can make a useful contribution to our understanding of mathematical practice.

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Juan Pablo Mejía Ramos
Rutgers University - New Brunswick

Citations of this work

Towards a theory of mathematical argument.Ian J. Dove - 2013 - In Andrew Aberdein & Ian J. Dove (eds.), The Argument of Mathematics. Dordrecht, Netherland: Springer. pp. 291--308.
Mathematics as the art of abstraction.Richard L. Epstein - 2013 - In Andrew Aberdein & Ian J. Dove (eds.), The Argument of Mathematics. Dordrecht, Netherland: Springer. pp. 257--289.
Analogical arguments in mathematics.Paul Bartha - 2013 - In Andrew Aberdein & Ian J. Dove (eds.), The Argument of Mathematics. Dordrecht, Netherland: Springer. pp. 199--237.

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References found in this work

The Uses of Argument.Stephen Toulmin - 1958 - Cambridge, England: Cambridge University Press.
The Uses of Argument.Stephen E. Toulmin - 1958 - Philosophy 34 (130):244-245.
The past and future of experimental philosophy.Thomas Nadelhoffer & Eddy Nahmias - 2007 - Philosophical Explorations 10 (2):123 – 149.
Towards a Philosophy of Real Mathematics.David Corfield - 2003 - New York: Cambridge University Press.
Visual Thinking in Mathematics: An Epistemological Study.Marcus Giaquinto - 2007 - Oxford, England: Oxford University Press.

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