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The Role of Shape in Problem-Solving Activities in Mathematics

By José Gustavo Morales A and Matías Saracho

Abstract

Abstract. In our paper we will rely on research by Grosholz (2007) considering her thesis of the irreducibility of iconic representation in mathematics. Against this background, our aim will be to discuss the epistemic value of “shape ” or iconicity in diagrammatic representations in geometry. We show that iconic aspects of diagrams reveal structural relations underlying the method to solve quadrature problems developed by Leibniz (1675/76). As a concluding remark, we shall argue that in retrieving the information embedded in a diagram the reader must establish a meaningful relationship between the information supplied by the diagram and the relevant background knowledge which often remains implicit

Topics: Diagrams, Visualization, Leibniz, General Method, Background Knowledge
Year: 2014
OAI identifier: oai:CiteSeerX.psu:10.1.1.415.7651
Provided by: CiteSeerX
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