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From Analogical Proportion to Logical Proportions [PDF]
Logica Universalis, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Henri Prade, Gilles Richard
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Proportion: Learning Proportional Reasoning Together
2012Proportional reasoning is a broadly applicable skill that is fundamental to mathematical understanding. While the cognitive development of proportional reasoning is well understood, traditional learning methods are often ineffective. They provide neither real-time feedback nor sophisticated tools to scaffold learning.
Jochen Rick +3 more
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Random Structures & Algorithms, 1991
AbstractLet S be a finite set of graphs and t a real number, 0 < t < 1. A (deterministic) graph G is (t, 5)‐proportional if for every H ∈ S, the number of induced subgraphs of G isomorphic to H equals the expected number of induced copies of H in the random graph Gn, t where n = |V(G)|. Let Sk = {all graphs on k vertices}, in particular S3 = {K3,
Svante Janson, Jan Kratochvíl
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AbstractLet S be a finite set of graphs and t a real number, 0 < t < 1. A (deterministic) graph G is (t, 5)‐proportional if for every H ∈ S, the number of induced subgraphs of G isomorphic to H equals the expected number of induced copies of H in the random graph Gn, t where n = |V(G)|. Let Sk = {all graphs on k vertices}, in particular S3 = {K3,
Svante Janson, Jan Kratochvíl
openaire +2 more sources