Publications by authors named "Yacin Hamami"
Article Synopsis
- Deductive reasoning plays a crucial role in scientific progress and education, particularly in geometry, yet the cognitive processes behind it are not well explored.
- Researchers found a cognitive bias in geometric reasoning, where educated adults mistakenly accepted invalid conclusions involving points and circles in Euclidean geometry.
- Their experiments reveal that individuals often misrepresent geometric premises and rely on translating rather than scaling, highlighting how even mathematical reasoning is influenced by cognitive biases and counter-intuitive thinking.
Topological relations such as inside, outside, or intersection are ubiquitous to our spatial thinking. Here, we examined how people reason deductively with topological relations between points, lines, and circles in geometric diagrams. We hypothesized in particular that a counterexample search generally underlies this type of reasoning.
View Article and Find Full Text PDFThe cognitive processing of spatial relations in Euclidean diagrams is central to the diagram-based geometric practice of Euclid's Elements. In this study, we investigate this processing through two dichotomies among spatial relations-metric vs topological and exact vs co-exact-introduced by Manders in his seminal epistemological analysis of Euclid's geometric practice. To this end, we carried out a two-part experiment where participants were asked to judge spatial relations in Euclidean diagrams in a visual half field task design.
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