The Hidden Role of Diagrams in Students’ Construction of Meaning in Geometry

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How researchers see this paper

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The Semiotic Structure of Geometry Diagrams: How Textbook Diagrams Convey Meaning (2015, background): “According to Laborde (2005), diagrams support the reading of spatiographical and theoretical properties, and these readings may even contradict each other.”
From static to dynamic mathematics: historical and representational perspectives (2008, background): “The artificial realities of the diagram obey the rules of geometry that are preserved in the elements of the diagram, just as world objects obey the rules of physics in nature (Laborde 2004).”
The interplay among gestures, discourse, and diagrams in students’ geometrical reasoning (2013, background): “Research has discussed the gap between the physical properties of a diagram and the geometrical representations of a figure (Duval, 1995; Fischbein, 1993; Laborde, 2005; Mariotti, 1995).”