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Lommatsch, Christina W.; Moyer-Packenham, Patricia S. – International Journal of Mathematical Education in Science and Technology, 2020
Logical statements are prevalent in mathematics, science and everyday life. The most common logical statements are conditionals, 'If H … , then C … ', where 'H' is a hypothesis and 'C' is a conclusion. Reasoning about conditionals depends on four main conditional contexts (intuitive, abstract, symbolic or counterintuitive). This study tested a…
Descriptors: Mathematical Logic, Logical Thinking, Mathematics Skills, Thinking Skills
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Khemlani, Sangeet S.; Byrne, Ruth M. J.; Johnson-Laird, Philip N. – Cognitive Science, 2018
This article presents a fundamental advance in the theory of mental models as an explanation of reasoning about facts, possibilities, and probabilities. It postulates that the meanings of compound assertions, such as conditionals ("if") and disjunctions ("or"), unlike those in logic, refer to conjunctions of epistemic…
Descriptors: Form Classes (Languages), Schemata (Cognition), Inferences, Prediction
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Hayes, Brett K.; Stephens, Rachel G.; Ngo, Jeremy; Dunn, John C. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2018
Three-experiments examined the number of qualitatively different processing dimensions needed to account for inductive and deductive reasoning. In each study, participants were presented with arguments that varied in logical validity and consistency with background knowledge (believability), and evaluated them according to deductive criteria…
Descriptors: Inferences, Logical Thinking, Short Term Memory, Cognitive Processes